Use the graph to answer the question. Graph of a polygon ABCD with vertices at 4 comma 4, 12 comma 4, 12 comma 8, 4 comma 8 and a second polygon A prime B prime C prime D prime with vertices at 1 comma 1, 3 comma 1, 3 comma 2, 1 comma 2. Determine the scale factor used to create the image. one half 2 one fourth 2.5

Answers

Answer 1

Given polygons ABCD and A'B'C'D' have scale factors of 1/4 since their respective side ratios are the same.

What is scale-factor?

The amount by which a shape is made smaller or larger is referred to as its scale factor. This method is employed when a 2D polygon, irregular or regular shape, such as a circle, triangle, square, or rectangle, needs to be enlarged larger. In the equation y = px, p is the scale factor for x. One may identify the scale factor between any two shapes or figures by comparing the measurements of the new shape to those of the prior shape.

Scale factor = Dimensions of new shape/Dimensions of original shape

given the original polygon's coordinates:

A(4,4) ; B(12,4) ; C(12,8) ; D(4,8)

Distance AB = X₂ - X₁

                     = 12 - 4

                     = 8 units

Distance BC = Y₂ - Y₁

                     = 8 - 4

                     = 4 units

Distance CD = X₂ - X₁

                     = 12 - 4

                     = 8 units

Distance DA = Y₂ - Y₁

                     = 8 - 4

                     = 4 units

Added coordinates for the new polygon:

A'(1,1) ; B(3,1) ; C(3,2) ; D(1,2)

Distance A'B' = X₂ - X₁

                      = 3 - 1

                      = 2 units

Distance B'C' = Y₂ - Y₁

                      = 2 - 1

                      = 1 units

Distance C'D' = X₂ - X₁

                      = 3 - 1

                      = 2 units

Distance D'A' = Y₂ - Y₁

                      = 2 - 1

                      = 1 units

Scale factor = [tex]\frac{A^{\prime} B^{\prime}}{A B}=\frac{B^{\prime} C^{\prime}}{B C}=\frac{C^{\prime} D^{\prime}}{C D}=\frac{D^{\prime} A^{\prime}}{D A}[/tex]

[tex]\frac{A B}{A^{\prime} B^{\prime}}=\frac{2}{8}=\frac{1}{4}\\\\\frac{B^{\prime} C^{\prime}}{B C}=\frac{1}{4}\\\\\frac{C^{\prime} D^{\prime}}{C D}=\frac{2}{8}=\frac{1}{4}\\\\\frac{D^{\prime} A^{\prime}}{D A}=\frac{1}{4}[/tex]

Scale factor = [tex]\frac{A^{\prime} B^{\prime}}{A B}=\frac{B^{\prime} C^{\prime}}{B C}=\frac{C^{\prime} D^{\prime}}{C D}=\frac{D^{\prime} A^{\prime}}{D A}=\frac{1}{4}[/tex]

The image was reduced using a one-fourth scale factor.

To know more about scale-factor, visit:

https://brainly.com/question/29967135

#SPJ1

Refer to the attachment for the graph.

Use The Graph To Answer The Question. Graph Of A Polygon ABCD With Vertices At 4 Comma 4, 12 Comma 4,

Related Questions

what is the quotient of 837 and 26

Answers

Answer:

The quotient of 837 divided by 26 is approximately 32.2692 (rounded to four decimal places).

What is the value of u?

Answers

since its on a straight line we instantly know that u+100=180 since a straight line is 180 degrees. From thay we can easily find out that u=180-100=80. So u is 80 degrees. Also pls mark as brainliest answer thx.

Answer:

u=180

Step-by-step explanation:

The two angles add together to form a straight line, so they add to 180

100+u = 180

u = 180-100

u= 80

Part A Select the location of -2 and -9 on the number line. Select the places on the number line to plot the points. -10 20 10 Part B Use mathematical symbols to write an inequality that compares -2 and -9. Explain how the number line can be used to show that your inequality is correct. Enter your inequality and your explanation in the space provided. 109 10 - Math symbols + px C 1 1 0 ▷ Relations ▸ Geometry X . 00 1.1 0.8​

Answers

It should be noted that to select the location of -2 and -9 on the number line, the steps are given below.

What are the steps?

Draw a number line with zero in the center and a positive direction to the right and a negative direction to the left.

Find the position of -9 by counting 9 units to the left of zero on the number line. Mark this point with a dot or a cross.

Find the position of -2 by counting 2 units to the left of zero on the number line. Mark this point with a dot or a cross.

Label the points as -9 and -2 to indicate their values.

Your number line should now have two marked points at positions -9 and -2.

Learn more about number line on

https://brainly.com/question/24644930

#SPJ1

How do I solve this problem?

Answers

The measure of  angle CFE is determined as 29⁰.

What is the measure of angle CFE?

The measure of angle CFE is calculated by applying the following formula.

The intersecting chord theorem, also known as the intersecting chords inside and outside theorem, is a geometric property that applies to chords (line segments that connect two points on the circumference of a circle) that intersect inside or outside a circle.

Based on the angle of intersecting chord theorem, we will have the following equation.

m∠CFE = ¹/₂( arc angle CE )

arc CE = 360 - 302 (sum of angles in a circle)

arc CE = 58⁰

m∠CFE = ¹/₂ x 58

m∠CFE = 29⁰

Learn more about chord angles here: brainly.com/question/23732231

#SPJ1

2. Mrs. Cooper created a triangular shaped vegetable garden and needs to put down fertilizer to cover the space. If the garden has a base of 8m and a height of 10m, how much fertilizer will she need?​

Answers

Answer:

40 m²

Step-by-step explanation:

Area of triangle:

To find the area of triangle, multiply the base and area and then divide it by 2.

      base = b = 8 m

height      = h = 10m

      [tex]\boxed{\bf Area \ of \ triangle = \dfrac{1}{2}*b*h}[/tex]

                                     [tex]= \dfrac{1}{2}*8 * 10\\\\= 4 * 10\\\\= 40 \ m^2[/tex]

An equipment was purchased from China and arrived at Kampala at a value of shs.5,000,000 shs with transport cost of 800,000 shs. and total taxes amounted to 1,500,000 the equipment is expected to be useful for 6 years and an estimated salvage value of 1,300,000 shs. calculate the depreciation expense for each year and accumulated depreciation upto year 6. Using the straight line method.​

Answers

The depreciation expense for each year is 1,000,000 shs.

Accumulated depreciation up to year 6 is 6,000,000 shs.

How to calculate depreciation using the straight line method?

The depreciation using the straight line method is given by the formula:

Depreciation expense per year = (Initial cost - Salvage value) / Useful life

Initial cost = 5,000,000 + 800,000 + 1,500,000 = 7,300,000 shs.

Salvage value = 1,300,000 shs.

Depreciation expense per year = (7,300,000 - 1,300,000) / 6

                                                    = 6,000,000 / 6

                                                    = 1,000,000 shs.

Thus, the depreciation expense for each year is 1,000,000 shs.

Accumulated depreciation up to year 6 = Depreciation expense per year * Number of years

Accumulated depreciation up to year 6 = 1,000,000 * 6 = 6,000,000 shs.

Learn more about depreciation on:

https://brainly.com/question/1203926

#SPJ1


In a country club of 141 people, 61 play football, 65 play base ball and 72 play hockey hockey.
22. play all the games while 11 play none of the games. An equal number play only two games (How many play only two games (i) How many play only football?

Answers

The number of people who play only football is |A' ∩ B' ∩ C'| = 25. So, 25 people play only football.

Describe Statistics?

Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data. It involves the use of various methods and techniques to draw conclusions from data and make informed decisions.

The main goal of statistics is to provide a systematic approach to understanding and interpreting data, which can be used in a wide variety of fields, including business, social sciences, engineering, medicine, and many others. Statistics is used to study and analyze various types of data, including numerical, categorical, and ordinal data, as well as time series and spatial data.

Let A, B, and C be the sets of people who play football, baseball, and hockey, respectively. We know that:

|A| = 61, |B| = 65, |C| = 72

We also know that:

|A ∩ B ∩ C| = 22, |A ∪ B ∪ C| = 141, |A' ∩ B' ∩ C'| = 11

where A', B', and C' denote the complements of A, B, and C, respectively.

We can use the principle of inclusion-exclusion to find the number of people who play only two games. This principle states that:

|A ∪ B ∪ C| = |A| + |B| + |C| - |A ∩ B| - |A ∩ C| - |B ∩ C| + |A ∩ B ∩ C|

Using the given values, we can substitute and simplify to get:

141 = 61 + 65 + 72 - |A ∩ B| - |A ∩ C| - |B ∩ C| + 22

|A ∩ B| + |A ∩ C| + |B ∩ C| = 75

We also know that an equal number of people play only two games, so let x be that number. Then:

|A ∩ B| = |A ∩ C| = |B ∩ C| = x

Substituting into the previous equation, we get:

3x = 75

x = 25

Therefore, 25 people play only two games. To find the number of people who play only football, we need to subtract the number of people who play baseball and hockey from the number of people who play only two games:

|A' ∩ B ∩ C| = x = 25

|A' ∩ B ∩ C'| = 11

|A' ∩ C ∩ B'| = x = 25

|A ∩ B' ∩ C'| = x = 25

|A' ∩ B| = 65 - (25 + 11) = 29

|A' ∩ C| = 72 - (25 + 11) = 36

|A' ∩ B' ∩ C| = 61 - (25 + 11) = 25

|A ∩ B' ∩ C| = 141 - (29 + 25 + 36 + 11) = 40

Therefore, the number of people who play only football is:

|A' ∩ B' ∩ C'| = 25

So, 25 people play only football.

To know more about equation visit:

https://brainly.com/question/14165926

#SPJ1

Select all of the following indicators which would cause you to reject normality for a sample of data

Answers

The indicators which would cause you to reject normality for a sample of data are:

A histogram of the data shows bar heights decreasing from left to right.

A histogram of the data shows bar heights decreasing from right to left.

What is sample?

In statistics, a sample refers to a group of individuals, objects, or observations selected from a larger population. The sample is chosen to represent the population and to provide information about the characteristics, behavior, or preferences of the population. Sampling is a common method used in statistical analysis to estimate population parameters, such as the mean or standard deviation. By analyzing the sample data, researchers can draw inferences about the population from which the sample was drawn.

Here,

Both of these indicators suggest that the data is not symmetric and may have a skewed distribution. The following indicators suggest that the data is likely normally distributed:

A normal probability plot of the data follows a linear pattern.

A histogram of the data shows that all bars have similar heights.

A normal probability plot is a graphical tool used to assess the normality of a data set. If the plot follows a straight line, it suggests that the data is normally distributed. Similarly, a histogram with bars of similar heights suggests that the data is symmetric and may be normally distributed.

To know more about sample,

https://brainly.com/question/15659544

#SPJ1

How many years will it take $6,000 invested at 8% interest to earn $1,680?

Answers

Answer:

We can use the formula for simple interest to solve this problem:

I = Prt

where I is the amount of interest earned, P is the principal (the initial amount invested), r is the annual interest rate (as a decimal), and t is the time (in years).

In this problem, we know that P = $6,000, r = 0.08, and I = $1,680. We want to find t, the time required to earn $1,680 in interest.

Substituting these values into the formula, we get:

$1,680 = $6,000 x 0.08 x t

Simplifying and solving for t, we get:

t = $1,680 / ($6,000 x 0.08) = 3.5 years

Therefore, it will take 3.5 years for $6,000 invested at 8% interest to earn $1,680 in interest.

6. WRITING IN MATH Describe why the
difference of squares pattern has no middle term
with a variable. Example w-121

Answers

The two middle terms, -11w and +11w, cancel each other out, leaving only the first and last terms. This is why there is no middle term with a variable in the factorization of the difference of squares pattern.

How do you find a middle term?

When expanding a binomial expression in the form of (a + b)ⁿ, the middle term can be found using the following formula:

Middle term coefficient = nC(k), where k = (n+1)/2 if n is odd, and k = n/2 or (n/2 + 1) if n is even. The middle term coefficient is then multiplied by the product of a raised to the power of (n-k) and b raised to the power of k.

The difference of squares pattern is a special algebraic pattern that arises when we factor a polynomial that is the difference between two perfect squares. For example,

x² - y² = (x+y)(x-y)

When we apply this pattern to the expression w - 121, we can rewrite it as:

w² - 11²

And, we can use the difference of squares pattern to factor it as:

(w + 11)(w - 11)

Notice that there is no middle term with a variable in this factorization. This is because when we multiply (w + 11)(w - 11), the middle term cancels out.

To see why this happens, let's expand the product:

(w + 11)(w - 11) = w² - 11w + 11w - 121

The two middle terms, -11w and +11w, cancel each other out, leaving only the first and last terms. This is why there is no middle term with a variable in the factorization of the difference of squares pattern.

To know more about middle term visit:

brainly.com/question/29129680

#SPJ1

You and your friend are comparing finance charges on a 5 year $5000. Due to your low credit score, you locked in a 15% APR, while your friend got a 5% APR. How much more did you pay for this loan due to your bad credit score? Use the payment formula to find the monthly payment and the total amount paid over 5 years.

Answers

With the given compound interest, Total amount paid is $5,593.20 and you paid $1,379.40 more for the loan due to your bad credit score.

What is Compound interest?

Compound interest is the interest calculated on the initial principal as well as on the accumulated interest from previous periods. In other words, it is the interest earned not only on the principal amount but also on the interest previously earned.

Now,

To find the monthly payment, we can use the loan payment formula:

P = (Pv*r)/(1-(1+r)⁻ⁿ)

where P is the monthly payment, Pv is the present value of the loan, r is the monthly interest rate, and n is the total number of payments.

For your loan with a 15% APR, the monthly interest rate is 15%/12 = 1.25%.

For a 5-year loan with monthly payments, the total number of payments is 5 x 12 = 60.

So, plugging in the values, we get:

P = (5000*0.0125)/(1-(1+0.0125)⁻⁶⁰)) = $116.21

Your total amount paid over 5 years is:

Total amount paid = P x n = $116.21 x 60 = $6,972.60

For your friend's loan with a 5% APR, the monthly interest rate is 5%/12 = 0.42%.

Using the same formula as above, we get:

P = (5000*0.0042)/(1-(1+0.0042)⁻⁶⁰) = $93.22

Your friend's total amount paid over 5 years is:

Total amount paid = P x n = $93.22 x 60 = $5,593.20

The difference in the total amount paid is:

$6,972.60 - $5,593.20 = $1,379.40

Therefore, you paid $1,379.40 more for the loan due to your bad credit score.

To know more about Compound Interest visit the link

brainly.com/question/14295570

#SPJ1

Sam has a goal of walking 3 1/2 miles by the end of the day. He walks 1 1/8 miles before lunch and 3/4 mile after resting. What is the remaining distance, in miles, that Sam needs to walk to reach his goal?

Answers

Remaining distance left to cover his goal = 13/8 miles

What is Distance?

Distance is an object's overall motion in a directionless fashion. Regardless of the starting or ending point, distance can be defined as the amount of space an object has covered.

What is Fraction?

In mathematics, a fraction is used to represent a portion or component of the whole. It stands for the equally important components of the whole. The numerator and denominator are the two components of a fraction. The numerator is the number at the top, while the denominator is the number at the bottom. The denominator specifies the total number of equal parts in the whole, whereas the numerator specifies the number of equal parts taken.For example, 5/10 is a fraction.

Here, 5 is a numerator and 10 is a denominator.

According to question,

Total distance by sam = 7/2 miles

Distance walked before lunch = 9/8 miles

Distance walked after resting = 3/4 miles

Remaining distance needed to cover = 7/2-(9/8+3/4)

                                                             =7/2-15/8

                                                             =13/8 miles

To learn more about distance visit:

https://brainly.com/question/15172156

#SPJ1

28) The number of hours per week that high school students spend on computers is normally distributed, with a mean
of 5 hours and a standard deviation of 2 hours. 70 students are chosen at random. Let y represent the mean number
of hours spent on the computer for this group. Find the probability that y is between 5.1 and 5.7.

Answers

The probability that y is between 5.1 and 5.7 is approximately 0.4292.

What is probability?

Probability is a way to gauge how likely or unlikely something is to happen. It is a number between 0 and 1, where 0 denotes an improbable event and 1 denotes an inevitable one.

According to question:

Since the sample size is large (n = 70), we can use the Central Limit Theorem to approximate the sampling distribution of the sample mean as normal with mean μ = 5 and standard deviation σ/sqrt(n) = 2/sqrt(70) ≈ 0.24.

Now we want to find the probability that y, the sample mean, is between 5.1 and 5.7. We can use the standard normal distribution to do this by standardizing y:

z = (y - μ) / (σ / sqrt(n)) = (y - 5) / 0.24

The probability that y is between 5.1 and 5.7 is equivalent to the probability that z is between:

z1 = (5.1 - 5) / 0.24 ≈ 0.42

and

z2 = (5.7 - 5) / 0.24 ≈ 2.92

Using a standard normal distribution table or calculator, we can find that the probability of z being between z1 and z2 is approximately 0.4292.

Therefore, the probability that y is between 5.1 and 5.7 is approximately 0.4292.

To know more about probability visit:

https://brainly.com/question/30034780

#SPJ1

A farmer counted the number of apples on each tree in his orchard. How many trees have at least 21 apples but fewer than 80 apples?

Answers

Answer: We can solve this problem by counting the number of trees that have at least 21 apples and subtracting the number of trees that have at least 80 apples.

Let T be the total number of trees in the orchard, and let n1 be the number of trees that have at least 21 apples, and n2 be the number of trees that have at least 80 apples. Then the number of trees that have at least 21 apples but fewer than 80 apples is:

n1 - n2

To find n1 and n2, we need to know the distribution of the number of apples on each tree. Without this information, we can't find an exact answer. However, we can make some reasonable assumptions and estimate the answer.

Assuming that the number of apples on each tree follows a normal distribution with mean μ and standard deviation σ, we can use the empirical rule (also known as the 68-95-99.7 rule) to estimate the proportion of trees that have at least 21 apples and at least 80 apples. According to this rule:

- Approximately 68% of the trees will have a number of apples within one standard deviation of the mean.

- Approximately 95% of the trees will have a number of apples within two standard deviations of the mean.

- Approximately 99.7% of the trees will have a number of apples within three standard deviations of the mean.

Assuming that the mean number of apples per tree is around 50 (a reasonable estimate based on typical apple orchard data), and that the standard deviation is around 20 (based on empirical data), we can estimate the proportion of trees that have at least 21 apples and at least 80 apples as follows:

The lower bound for the number of apples on a tree that is one standard deviation below the mean is around 30. Therefore, approximately 16% of the trees will have at least 21 apples.

The upper bound for the number of apples on a tree that is two standard deviations above the mean is around 90. Therefore, approximately 2.5% of the trees will have at least 80 apples.

Using these estimates, we can calculate an approximate number of trees that have at least 21 apples but fewer than 80 apples as follows:

n1 - n2 = 0.16T - 0.025T = 0.135T

Therefore, approximately 13.5% of the trees in the orchard have at least 21 apples but fewer than 80 apples. If we know the exact distribution of the number of apples on each tree, we could calculate a more precise answer.

Step-by-step explanation:

Need help will give brainliest and 5 stars! (Check Picture)

Give the equation of a rational function which has all of the properties above.

Answers

Im probably wrong but here you go

To find the equation of a rational function that satisfies the given properties, we can use the fact that a rational function can be written as the quotient of two polynomials. We know that the function has x-intercepts at (2,0) and (6,0), which means that the denominator must contain factors of (x-2) and (x-6):

r(x) = A(x-2)(x-6)/...

where A is a constant coefficient that we need to determine and the ellipsis (...) represents the remaining factors of the denominator.

We also know that there is a hole at x=1, which means that both the numerator and denominator have a factor of (x-1). To ensure that the hole cancels out, we can simplify the expression by dividing both the numerator and denominator by (x-1):

r(x) = A(x-2)(x-6)/(x-1)(x-1)... (1)

Now, we need to include the vertical asymptotes at x=5 and x=3. This means that the denominator must contain factors of (x-5) and (x-3). However, we also need to ensure that the end-behavior of the function is given by f(x) -> 1 as x -> ± infinity. This can be achieved by making the degree of the numerator equal to the degree of the denominator, and ensuring that the leading coefficient of the numerator is equal to the leading coefficient of the denominator.

To achieve this, we can set the denominator to be (x-5)(x-3)^2, and choose the numerator to be a constant multiple of (x-1)(x-1):

r(x) = A(x-2)(x-6)/(x-1)(x-1)(x-5)(x-3)^2

Now, we need to determine the value of the constant A. Since we know that r(x) has a hole at x=1, we can use the fact that the limit of r(x) as x approaches 1 must exist and be finite. This means that the factors of (x-1) must cancel out in the numerator and denominator, and we can use this to solve for A:

lim(x->1) r(x) = lim(x->1) A(x-2)(x-6)/(x-1)(x-1)(x-5)(x-3)^2
= A(-1)(-5)/(-4)^3
= 5A/64

We know that the limit must exist and be finite, and we also know that it must equal some number k, since r(x) has a hole at x=1. Therefore, we can set 5A/64 = k, and solve for A:

A = 64k/5

Substituting this value of A into equation (1), we get the final equation for r(x):

r(x) = (64k/5)(x-2)(x-6)/(x-1)(x-1)(x-5)(x-3)^2

where k is any non-zero constant.

Answer:

One possible rational function that satisfies the given properties is:

r(x) = (x-2)(x-6) / [(x-3)(x-5)]

Step-by-step explanation:

x-intercepts at (2,0) and (6,0)

The x-intercepts are the points where the function crosses the x-axis, i.e., where the function value is zero. Since we are given that the function has x-intercepts at (2,0) and (6,0), we know that the function can be factored as:

r(x) = A(x-2)(x-6)

where A is a constant that we need to determine.

A hole at x=1 and vertical asymptotes at x=5 and x=3

A hole in a rational function occurs when there are factors in the numerator and denominator that cancel out, leaving a "hole" in the graph. In this case, we are given that there is a hole at x=1, which means that there must be a common factor of (x-1) in both the numerator and denominator. So, we can write:

r(x) = A(x-2)(x-6) / (B(x-1)(x-3)(x-5))

where B is another constant that we need to determine.

We are also given that there are vertical asymptotes at x=5 and x=3, which means that the denominator must have factors of (x-5) and (x-3) that do not cancel out with any factors in the numerator. So, we can write:

r(x) = A(x-2)(x-6) / (B(x-1)(x-3)(x-5)) = [A(x-2)(x-6)] / [(B(x-1))(x-3)(x-5)]

End behavior given by x → ∞ ,f(x) → 1 and x → -∞ ,f(x) → 1

The end behavior of a rational function is determined by the degree of the numerator and denominator. Since the numerator and denominator in this case have the same degree (3), we know that the end behavior is given by the ratio of the leading coefficients, which is A/B. We are told that the end behavior approaches 1 as x approaches infinity or negative infinity, so we can set A/B = 1 and solve for A in terms of B:

A/B = 1, so A = B

Putting it all together

We now have enough information to write the equation for the rational function with the given properties:

r(x) = A(x-2)(x-6) / (B(x-1)(x-3)(x-5))

Using A = B, we get:

r(x) = A(x-2)(x-6) / [A(x-1)(x-3)(x-5)]

Canceling out the common factor of (x-1) in the numerator and denominator, we get:

r(x) = (x-2)(x-6) / [(x-3)(x-5)]

which is the equation for the desired rational function.

Triangle ABC with vertices at A(−4, −4), B(8, 8), C(2, 6) is dilated to create triangle A′B′C′ with vertices at A′(−2, −2), B′(4, 4), C′(1, 3). Determine the scale factor used. 2 one half 4 one fourth

Answers

Answer: It is similar to triangle ABC and has coordinates A′(8, −12), B′(4, −16), and C′(−20, 8)

Step-by-step explanation: Dilated triangles are never congruent, only similar (unless the dilation factor is exactly 1).

The coordinates of an image dilated about the origin are those of the pre-image multiplied by the dilation factor. For example,

 A' = 2A

 A'(8, -12) = 2×A(4, -6)

These facts are all you need to know to choose the correct answer (shown above).

Answer: 1/2

Step-by-step explanation:

I took the quiz!

PROBABILITY:
b) A Jar contains four green tickets numbered one to four,
Six blue tickets numbered one to six, and two red tickets
numbered one to two. You randomly pick a ticket.

Answers

The probability of picking a blue marble or a marble with an odd number is 7/9.

How to solve the probability

We can use set theory to calculate the probability of picking a blue marble or a marble with an odd number. Let B be the set of blue marbles and O be the set of marbles with odd numbers. Then, we need to calculate the probability of the union of B and O.

P(B or O) = P(B U O) = P(B) + P(O) - P(B and O)

We know that P(B) = 4/9 and P(O) = 5/9. To calculate P(B and O), we need to count the number of marbles that satisfy both conditions, i.e., they are blue and have an odd number. There are two such marbles: B1 and B3.

Therefore, P(B and O) = 2/9, and the probability of picking a blue marble or a marble with an odd number is:

P(B or O) = P(B U O) = P(B) + P(O) - P(B and O) = 4/9 + 5/9 - 2/9 = 7/9

Read more on probability here:https://brainly.com/question/24756209

#SPJ1

Identify the interquartile range from the box and whisker plot above

Answers

Answer:

interquartile range = 6

Step-by-step explanation:

the interquartile range is the difference between the upper quartile Q₃ and the lower quartile Q₁

Q₃ is the value at the right side of the box, that is 86

Q₁ is the value at the left side of the box, that is 80

interquartile range = Q₃ - Q₁ = 86 - 80 = 6

What number increased by 3.5% of itself equals 621?

Answers

Answer:

Step-by-step explanation:

We need to find a number which increased by 3.5 of itself equals 621.

Let that number be x.

x increased by 3.5 of itself equals 621 implies x+ 3.5x = 621.

x(1+3.5) = 621

x(4.5) = 621

x = 621/4.5

x = 138

Therefore the required number is 138.

Answer: 138

Step-by-step explanation:

We need to find a number which increased by 3.5 of itself equals 621.

Let that number be x.

x increased by 3.5 of itself equals 621 implies x+ 3.5x = 621.

x(1+3.5) = 621

x(4.5) = 621

x = 621/4.5

x = 138

Therefore the required number is 138.

A bag contains 2 gold marbles, 10 silver marbles, and 29 black marbles. The rules of the game are as follows: You randomly select one marble from the bag. If it is gold, you win $6, if it is silver, you win $4. If it costs $1 to play, what is your expected profit or loss if you play this game?

Answers

Answer:

33 thats with the 1 dollar subtracted for the entry fee

Step-by-step explanation:

first you add all the number of marbles you have then you get 41 then divide it by 12 because you have 2 gold and 10 silver and you get 3.4 and multiply that by 10 because its 6 and 4 and you get 34 subtract the entry fee

during the winter months, Starbucks has a sale every 4 days and a McCafe has a sale every 5 days. If stores had a sale today, when is the next time both stores will have sales on the same day

Answers

Check the picture below.

so we can just look at it as the LCD and 4 and 5 is 20, so they'll have a simultaneous sale every 20 days or every LCD time.

Given: The radius of circle Q is 6.
Segments XY, YZ, and XZ are tangent to circle Q.
XY = 18
.e
What is the area of AXYZ?
O 162 square units
O432 square units
O 270 square units
O 216 square units

Answers

The answer to the question is   O 216 square units

What is the longest line segment that can be drawn in a right rectangular prism that is 14 cm​ long, 13 cm​ wide, and 8 cm​ tall?

NEED ANSWERED ASAP!

Answers

The longest line segment that can be drawn in a right rectangular prism is the space diagonal, which is a line segment connecting two opposite vertices of the prism.

To find the length of the space diagonal, we can use the Pythagorean theorem in three dimensions:

d^2 = l^2 + w^2 + h^2

where d is the length of the space diagonal, l is the length of the prism, w is the width of the prism, and h is the height of the prism.

Substituting the given values, we get:

d^2 = 14^2 + 13^2 + 8^2
d^2 = 196 + 169 + 64
d^2 = 429
d = sqrt(429)
d ≈ 20.7 cm

Therefore, the longest line segment that can be drawn in the right rectangular prism is approximately 20.7 cm long.

2, 8, 18, 32, …

This sequence can be represented by the explicit function f(x) = 2x^2

True or False?

Answers

Answer:

False.

To determine if the sequence 2, 8, 18, 32, ... can be represented by the explicit function f(x) = 2x^2, we can test whether this formula generates the terms of the sequence.

When x = 1, we have f(1) = 2(1)^2 = 2, which is the first term of the sequence.

When x = 2, we have f(2) = 2(2)^2 = 8, which is the second term of the sequence.

However, when x = 3, we have f(3) = 2(3)^2 = 18, which is the third term of the sequence. But the fourth term of the sequence is 32, which is not generated by the formula f(x) = 2x^2 when x = 4.

Therefore, the sequences 2, 8, 18, 32, ... cannot be represented by the explicit function f(x) = 2x^2.

Show that by the uniqueness theorem the linear transformation,
Y = aX + b, is also a normal random variable.

Answers

We can show by the uniqueness theorem that the linear transformation, Y = aX + b, is also a normal random variable because the resultant probaility density fnction of Y equals: f(y) = (1/√(2πa^2σX^2)) * exp(-(y-aμX-b)^2/(2a^2σX^2)).

How to prove a normal random variable

To show that the linear transformation, Y = aX + b is a normal random variable, we need to demonstrate that it satisfies the properties of a normal distribution. This means that it should have a bell-shaped probability density function, mean, and variance.

We can prove that it meets the mean condition this way:

E(Y) = E(aX + b) = aE(X) + b = aμX + b

Next, we can prove that it meets the variance condition thus:

Var(Y) = Var(aX + b) = a^2Var(X) = a^2σX^2

Lastly, the probability density function is given as f(y) = (1/√(2πa^2σX^2)) * exp(-(y-aμX-b)^2/(2a^2σX^2)). This proves that the conditions for a normal random variable is met.

Learn more about a normal random variable here:

https://brainly.com/question/29360240

#SPJ1

Convert: 83.36m= cm


pls help

Answers

Answer: 8,336

Step-by-step explanation:

So 1 meter is equal to 100 centimeters. All you have to do is multiply 83.36 by 100.

83.36 * 100 = 8,336

Hope this helps!!! :)

To be able to buy a new computer, Lisa decides to save for 5 years. She opens a savings account with $600. The account pays simple interest at an annual rate of 4%. She doesn't make any more deposits. Answer the following questions. If necessary, refer to the list of financial formulas. (a) How much total interest will Lisa earn? ${ (b) What will the total amount in the account be (including interest)? $ X​

Answers

Okay, here are the step-by-step solutions:

(a) To find the total interest earned:

* Lisa opened the account with $600.

* The interest rate is 4% annually.

* The account earns simple interest for 5 years.

So:

Interest rate = 4%

Principal amount = $600

Time = 5 years

Interest = (Interest rate) x (Principal amount) x (Time)

= (0.04) x ($600) x (5 years)

= $200

Therefore, the total interest earned is $200

(b) To find the total amount in the account (principal + interest):

Principal amount = $600

Interest earned = $200

Total amount = Principal amount + Interest earned

= $600 + $200

= $800

So the total amount in the account including interest is $800

Does this make sense? Let me know if you have any other questions!

Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find P32, the 82-percentile (using GeoGebra). This is the temperature reading separating the bottom 82% from the top 18%. Round your answer to the nearest 1000th if necessary.

Answers

Answer: To find the temperature reading separating the bottom 82% from the top 18%, we need to find the z-score that corresponds to the 82nd percentile, and then use it to find the temperature value. We can use GeoGebra to find the z-score and the corresponding temperature value as follows:

Click on the "Functions" icon and select "InvNorm" function.

Enter the percentile value, which is 0.82 for the 82nd percentile.

Enter the mean and standard deviation values, which are 0 and 1 for this problem.

Click on the "Evaluate" button to find the z-score.

The resulting z-score is 0.934, rounded to 3 decimal places.

This means that the temperature reading separating the bottom 82% from the top 18% is 0 + (0.934)(1.00) = 0.934°C above freezing.

Rounded to the nearest 1000th, this value is 0.934°C.

Therefore, P32, the temperature reading separating the bottom 82% from the top 18%, is approximately 0.934°C.

Step-by-step explanation:

What is the equivalent to this

Answers

None of the given options A, B, C, or D is correct as they all provide different answers.

what is algebra?

Algebra is a branch of mathematics that deals with mathematical operations and symbols used to represent numbers and quantities in equations and formulas.

The question asks for the equivalent of 6 × 2. This means that we need to find a number that is equal to the result of multiplying 6 and 2 together.

When we multiply 6 and 2, we get:

6 × 2 = 12

So, the equivalent of 6 × 2 is 12.

However, none of the answer options provided matches this answer.

Option A suggests that the equivalent of 6 × 2 is 2 × 1, which is equal to 2, not 12.

Option B suggests that the equivalent of 6 × 2 is 3 × 2, which is equal to 6, not 12.

Option C suggests that the equivalent of 6 × 2 is 9 × 3, which is equal to 27, not 12.

Option D suggests that the equivalent of 6 × 2 is 18 × 1/2, which is equal to 9, not 12.

Therefore, none of the options provided is correct.

To learn more about algebra from the given link:

https://brainly.com/question/24875240

#SPJ1

April buys soil for her flowerpots. she uses 9 kilograms of soil for her violets and 4 kilograms of soil for her tulips. she has 3,000 grams of soil left for some daisies (1 kilogram = 1,000 grams) use the drop down menus to show how much soil she bought​

Answers

April bought 16 kilograms of soil in total.

To show how much soil April bought

We need to add the amounts of soil she used for her violets and tulips. Since April used kilograms for violets and tulips, we need to convert the 3,000 grams to kilograms before we can add them up.

April bought:

9 kilograms of soil for violets

4 kilograms of soil for tulips

3 kilograms of soil for daisies (since 3,000 grams is 3 kilograms)

Therefore, April bought 16 kilograms of soil in total.

Learn more about addition here : brainly.com/question/28387735

#SPJ1

Other Questions
the james webb space telescope is scheduled to launch in 2018. in what range of the electromagnetic spectrum will it operate? Cost of preferred stock. Kyle is raising funds for his company by selling preferred stock. The preferred stock has a par value of $83 and a dividend rate of 9.3% The stock is selling for $55.02 in the market. What is the cost of proferred stock for Kyle? What is the cost of proferred stock for Kyle? % (Round to two decimal places) If s(d) represents the number of songs downloaded in a year d, what is the interpretation of s(2020) = 5,220,000.A. 5,220,000 songs were downloaded in the year 2020.B. There is not enough information to interpret the information.C. In the year 2020 $5,220,000 was earned from downloaded songs.D. 2,020 songs were downloaded at a cost of $5,220,000. factor completely show your work 9x^3 +36x^2 -x -4 selena is looking for her cat by methodically searching each room and then closing hte door. she is using what type of problem-solving strategy?a. an algorithmb. a heuristicc. a semantic networkd. a mental set a financial manager must choose between two mutually exclusive projects, project a and project b. they have the following cash flows: year 0 year 1 year 2 year 3 year 4 project a -100 60 50 40 30 project b -100 20 40 40 100 the discount rate is 3%. which project should the manager accept, and what is its irr? group of answer choices project b: irr an electric car's home battery charger uses 8.7 kilowatt for 11 hour. lf electricity costs s0.06 perkilowatt-hour, how much (in dollars, to the nearest penny) does it cost to charge the car's battery?use exact numbers; do not estimate. Problem 1: Find the Area and round to the nearest tenth. Devaughn is 8 years older than sydney. The sum of their ages is 76 Help what's the answer? Questions 1-7 weed warts please help me I have STAAR test need to finish this ASAP. when interviewing test takers who had an achievement test on three different occasions, participants reported that they had remembered some of the answers from the previous test administration. this is known as: select the body fat measurement technique that sends painless, low-energy electrical currents through the body and uses electrical resistance to identify adipose tissue. Similar to the main character in Pilgrim's Progress, each girl makes a promise to change a flaw to be a better "littlewoman" when their father returns. Which character do you most relate to? Or which character is most opposite yourpersonality? In 100 words or less, choose a character and compare or contrast her "bundle" to one of your own. You have a savings account valued at $1,500 today that earns an annual interest rate of 8. 7 percent. How much more would this account be worth if you wait to spend the entire balance in 25 years rather than in 20 years? . Where is the vertex of the graph that represents y=(x2)28 ? Type the answers in the boxes below. ( , ) b. Where is the y -intercept? Type the answers in the boxes below. Place the "Steps in the Ballot Initiative Process" in the correct order.Steps in the Ballot Initiative Process1-The proposed initiative is circulated to obtain the required number of signatures of registered voters2-Citizens have a more direct influence on lawmaking.3-The proposed initiative is verified and placed on the ballot.4-The proposed initiative is filed with and reviewed by the state rejections are effective to terminate offers when they are: group of answer choices a. implied by gestures. b. received by the offeror. c. regretted by the offeree. d. all of the above. how did cheif josphs leadership affect nez perce