an object is 19.0 cm from the center of a spherical silvered-glass christmas tree ornament 6.00 cm in diameter. What is the position of its image (counting from the ornament surface)?

The probability of getting 'p' success when a die rolled 12 times with 'x' success that has binomial distribution is equal to ¹²Cₓ pˣ ( 1 - p )¹²⁻ˣ.

Number of times die to be rolled = 12

In this scenario, a trial refers to a single roll of the 20-sided die.

Here , 'x' represents the the number times the die lands on a green square.

A success would be defined as landing on a green square,

And a failure would be landing on any other color.

Since the die will be rolled 12 times, there are 12 trials in total.

This implies, the number of times the die lands on a green square, x, has a binomial distribution.

With parameters n = 12 the number of trials and p the probability of success  which is landing on a green square.

Probability = ⁿCₓ pˣ ( 1 - p )ⁿ⁻ˣ

Therefore, the probability of rolling a die 12 times with 'x' success which has binomial distribution and 'p' probability of success is equal to ¹²Cₓ pˣ ( 1 - p )¹²⁻ˣ.

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The correct statement about scale factor is the radius of the larger can will be 8 inches. (option c).

Let's first consider the dimensions of the small can of tomato paste. We are given that it has a radius of 2 inches and a height of 4 inches. Therefore, its volume can be calculated using the formula for the volume of a cylinder, which is V = πr²h, where V is the volume, r is the radius, and h is the height. Substituting the given values, we get:

V_small = π(2²)(4) = 16π cubic inches

Using these dimensions, we can calculate the volume of the larger can using the same formula:

V_large = π(6²)(12) = 432π cubic inches

Now, let's compare the volumes of the small and large cans. We have:

V_large = 432π cubic inches > 16π cubic inches = V_small

Therefore, we can conclude that the volume of the larger can is greater than the volume of the smaller can. But is it three times greater? Let's compare:

V_large = 432π cubic inches 3

V_small = 3(16π) cubic inches = 48π cubic inches

We see that 432π cubic inches is not equal to 48π cubic inches, so option b) is not correct.

Finally, let's consider the radius of the larger can. We found earlier that it is 6 inches, which is greater than the radius of the smaller can, but it is not 8 inches. Therefore, option c) is correct.

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Complete Question:

A small can of tomato paste has a radius of 2 inches and a height of 4 inches. Suppose the larger, commercial-size can has dimensions that are related by a scale factor of 3. Which of these true?

a) The radius of the larger can will be 5 inches.

b) The volume of the larger can will be 3 times the volume of the smaller can

c) The radius of the larger can will be 8 inches.

d) The volume of the larger can is 3 times the volume of smaller can

The minimum number of coin flips required to obtain a 98% confidence interval width of at most 0.15 is 188.

Hence option d is correct.

We'll use the formula for the confidence interval of a proportion, which is given by:
CI = p-hat ± (z * sqrt(p-hat * (1-p-hat) / n))
Here, p-hat represents the sample proportion (observed proportion of heads), z is the z-score for the desired confidence level (98% in this case), and n is the number of coin flips.
We want to find the minimum number of coin flips (n) needed to obtain a confidence interval width of at most 0.15. Since we suspect that the coin is fair, we'll assume p-hat = 0.5.
For a 98% confidence interval, the z-score (rounded to three decimal places) is 2.576.

Now, we'll set up the inequality:
0.15 >[tex]= 2 * (2.576 * \sqrt{(0.5 * (1-0.5) / n))}[/tex]
Squaring both sides and solving for n, we get:
n >= [tex]((2.576 * \sqrt{(0.25))^2) / (0.15/2)^2}[/tex]
n >= 188.423
Since the number of coin flips must be a whole number, we'll round up to the nearest integer, which is 188.

Hence option d is correct.

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The two coterminal angles for 3/4 radians are (3π + 4)/4 and (-5π + 4)/4 radians.

Coterminal angles are two or more angles that have the same initial and terminal sides, but differ by a multiple of 360 degrees or 2π radians. In other words, coterminal angles are angles that overlap each other when drawn in standard position (with their initial side on the positive x-axis).

To find two coterminal angles with 3/4 radians, we can add or subtract multiples of 2π radians (which is equivalent to a full circle).

One positive coterminal angle is obtained by adding 2π radians to 3/4 radians:

3/4 + 2π = 3/4 + 8π/4 = 3/4 + 2π

Simplifying, we get:

3/4 + 2π = (3π + 4)/4

Therefore, one positive coterminal angle is (3π + 4)/4 radians.

One negative coterminal angle is obtained by subtracting 2π radians from 3/4 radians:

3/4 - 2π = 3/4 - 8π/4 = 3/4 - 2π

Simplifying, we get:

3/4 - 2π = (-5π + 4)/4

Therefore, one negative coterminal angle is (-5π + 4)/4 radians.

Hence, the two coterminal angles for 3/4 radians are (3π + 4)/4 and (-5π + 4)/4 radians.

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Answer: If line m is rotated 90 degrees clockwise about the point of interection, line m would overlap with n

Step-by-step explanation:

Answer:

x = 16

Step-by-step explanation:

If A and B are parallel , then

9x + 6 and 8x + 22 are corresponding angles and are congruent, that is

9x + 6 = 8x + 22 ( subtract 8x from both sides )

x + 6 = 22 ( subtract 6 from both sides )

x = 16

for A and B to be parallel then x = 16

Answer:

[tex]36x^{3}a+45xa^{2}=9xa(4x^{2} +5a)[/tex]

Step-by-step explanation:

You can factor out both 9, x, and a, as all the terms can be divided by 9xa.

Hope this helped!

Answer:

To find the circumference of a circle with diameter 25cm, we can use the formula:

Circumference = π × Diameter

where π (pi) is a mathematical constant approximately equal to 3.14159.

Substituting the diameter of 25cm, we get:

Circumference = π × 25cm

= 3.14159 × 25cm

= 78.53975cm

Therefore, the circumference of the circle with diameter 25cm is approximately 78.54cm.

To find the circumference of a circle with diameter 2.5cm, we can again use the same formula:

Circumference = π × Diameter

Substituting the diameter of 2.5cm, we get:

Circumference = π × 2.5cm

= 3.14159 × 2.5cm

= 7.85398cm

Therefore, the circumference of the circle with diameter 2.5cm is approximately 7.85cm.

The fraction of Carlos sold 1/9 of the advertisements.

Let's start by assigning a variable to represent the number of advertisements Carlos sold. We can call this variable "C".

According to the problem:

Mary sold twice as many advertisements as Carlos, which means Mary sold 2C advertisements.

James sold 3 times as many advertisements as Mary, which means James sold [tex]3(2C) = 6C[/tex] advertisements.

The total number of advertisements sold is the sum of what each person sold:

Total = Mary + James + Carlos

Total = [tex]2C + 6C + C[/tex]

Total = 9C

We can see that the total number of advertisements sold is 9 times the number that Carlos sold.

To find the fraction of advertisements that Carlos sold, we can divide the number of advertisements that Carlos sold by the total number of advertisements:

Fraction sold by Carlos = C/Total

Fraction sold by Carlos = [tex]C/(9C)[/tex]

Fraction sold by Carlos = [tex]1/9[/tex]

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Answer:

1. 71°

Step-by-step explanation:

SohCahToa

use sin

sin^-1(51/54)

=70.81186355

=71°

Answer:

ok maybe you have to divide 56 by 7, and It's 8, 1 roll of wallpaper cost eight.

then you have to multiply eight per 5, so It's 40.

40 It's the result :)

Answer:

parallelogram kite kite trapazoid

Answer:

To find the greatest possible value of x + y, we need to maximize the values of x and y such that they are still positive integers and satisfy the given equation 18x + 11y = 2020.

We can start by rearranging the equation to solve for y:

11y = 2020 - 18x

y = (2020 - 18x)/11

For y to be a positive integer, 2020 - 18x must be divisible by 11. We can test values of x starting from x = 1 and increasing by 1 until we find the largest possible value of x that satisfies this condition.

When x = 1, 2020 - 18x = 2002, which is divisible by 11. This gives us a value of y = 182/11, which is not a positive integer.

When x = 2, 2020 - 18x = 1984, which is divisible by 11. This gives us a value of y = 180/11, which is not a positive integer.

When x = 3, 2020 - 18x = 1966, which is divisible by 11. This gives us a value of y = 178/11, which is not a positive integer.

When x = 4, 2020 - 18x = 1948, which is divisible by 11. This gives us a value of y = 176/11, which is not a positive integer.

When x = 5, 2020 - 18x = 1930, which is divisible by 11. This gives us a value of y = 174/11, which is not a positive integer.

When x = 6, 2020 - 18x = 1912, which is divisible by 11. This gives us a value of y = 172/11, which is not a positive integer.

When x = 7, 2020 - 18x = 1894, which is divisible by 11. This gives us a value of y = 170/11, which is not a positive integer.

When x = 8, 2020 - 18x = 1876, which is divisible by 11. This gives us a value of y = 168/11, which is not a positive integer.

When x = 9, 2020 - 18x = 1858, which is divisible by 11. This gives us a value of y = 166/11, which is not a positive integer.

When x = 10, 2020 - 18x = 1840, which is divisible by 11. This gives us a value of y = 164/11, which is not a positive integer.

When x = 11, 2020 - 18x = 1822, which is divisible by 11. This gives us a value of y = 162/11, which is not a positive integer.

When x = 12, 2020 - 18x = 1804, which is divisible by 11. This gives us a value of y = 160/11, which is not a positive integer.

When x = 13, 2020 - 18x = 1786, which is divisible by 11. This gives us a value of y = 158/11, which is not a positive integer.

When x = 14, 2020 - 18x = 1768, which is divisible by 11. This gives us a value of y = 156/11, which is not a positive integer.

When x = 15, 2020 - 18x = 1750, which is divisible by 11. This gives us a value of y = 154/11, which is not a positive integer.

When x = 16, 2020 - 18x = 1732, which is divisible by 11. This gives us a value of y = 152/11, which is not a positive integer.

When x = 17, 2020 - 18x = 1714, which is divisible by 11. This gives us a value of y = 150/11, which is not a positive integer.

When x = 18, 2020 - 18x = 1696, which is divisible by 11. This gives us a value of y = 148/11, which is not a positive integer.

When x = 19, 2020 - 18x = 1678, which is divisible by 11. This gives us a value of y = 146/11, which is not a positive integer.

When x = 20, 2020 - 18x = 1660, which is divisible by 11. This gives us a value of y = 144

The angle G is (1/18) th {or (20/360)th } fraction of complete circle.

The angle G is measured to be 20°.

We know, the total angle of a complete circle is 360°.

Thus, by simple fraction we can say,

The angle G fraction of complete circle is = 20° / 360°

Simplifying we get, the angle G fraction of complete circle is = 1/18

Hence the angle G is (1/18 )th fraction of a complete circle.

In mathematical term, fractions are defined as a part of the whole. In other words, fraction is referred to the ratio of the value observing to the whole set of values.

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In the given model, y = 0.40x + 45,000, the y-intercept represents the fixed or base pay that Bill receives annually, irrespective of his total sales.

In other words, even if Bill makes no sales at all, he will still receive a base salary of $45,000 per year. The y-intercept is the point where the line intersects the y-axis, which represents the value of y when x equals 0.

The slope of the line, 0.40, represents the commission rate that Bill earns on his total sales. For each dollar of sales that Bill makes, he earns 40 cents in commission.

Therefore, the y-intercept is a constant value in the model and represents the guaranteed income that Bill receives regardless of his performance in sales. This base salary serves as a motivation for employees to perform better and increase their sales, thereby earning more commission.

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The "possible-sources" of in the measurement error of an experiment are Instrument error, Human error, sampling error and environmental factors, these sources "may" or "may-not" be enough to account for the percent differences calculated from the data.

There are several possible sources of "measurement-error" in an experiment which affect the accuracy and precision of the results.

These sources include instrument error, human error, environmental factors, and sampling error.

(i) "Instrument-Error" : is defined as inaccuracies in the measuring instruments used in the experiment. This include issues such as calibration errors, sensitivity of the instruments.

(ii) "Human-Error" can arise from mistakes made by experimenters during data collection or analysis, such as misreading measurements or recording data incorrectly.

(iii) "Environmental-Factors", such as temperature, humidity, or electromagnetic interference, can also cause error into experiment if they affect performance of measuring instruments.

(iv) "Sampling-Error" occur when a subset of the population is used for the experiment, and the results are generalized to the entire population.

Depending on the magnitude of these sources of error, they may or may not be enough to account for the percent differences calculated from the data.

If the measurement errors are small and within an acceptable range for the experiment, they may not significantly impact the results.

If the errors are large or systematic, they can introduce significant bias into the data and affect the percent differences calculated.

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The given question is incomplete, the complete question is

Discuss the possible sources of measurement error in an experiment. Are these sources of error enough to account for the percent differences you calculated from your data? write out your answer in a clear and well supported paragraph.

The probability that the auto policyholder will file exactly one type of claim is 0.40.

To calculate the probability, let M be the event that the policyholder files a medical claim and P be the event that the policyholder files a property claim. We are given:

P(M) = 0.30

P(P) = 0.42

P(M or P) = 0.60

We want to calculate the probability that the policyholder files exactly one type of claim, given that the policyholder will not file both types of claims. This can be expressed as:

P(exactly one type of claim | not both types of claims) = P((M and not P) or (not M and P)) / P(not both types of claims)

We can use the fact that:

P(not both types of claims) = P(M or P) - P(M and P)

To calculate the numerator, we have:

P((M and not P) or (not M and P)) = P(M and not P) + P(not M and P)

We can use the fact that:

P(not P) = 1 - P(P)

To calculate:

P(M and not P) = P(M) - P(M and P)

Putting everything together, we get:

P(M and not P) = 0.30 - P(M and P) = 0.30 - (0.60 - 0.30) = 0.00

P(not M and P) = P(P) - P(M and P) = 0.42 - (0.60 - 0.30) = 0.12

P((M and not P) or (not M and P)) = 0.00 + 0.12 = 0.12

P(not both types of claims) = 0.60 - 0.30 = 0.30

Therefore:

P(exactly one type of claim | not both types of claims) = 0.12 / 0.30 = 0.40

So the probability that the auto policyholder will file exactly one type of claim, given that the policyholder will not file both types of claims, is 0.40.

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The measure of angle B in the right-angled triangle ACB is 63 degrees.

What is a triangle ?

A triangle is a polygon with three sides, three vertices, and three angles. The sum of the interior angles of a triangle is always 180 degrees. Triangles can be classified based on their side lengths and angle measures.

In a right-angled triangle, the sum of the two acute angles is always equal to 90 degrees. Therefore, we can find the measure of angle B in the right-angled triangle ACB by subtracting the measure of angle A and the right angle from 90 degrees.

Given that [tex]\angle A = 27^\circ[/tex], we can find the measure of angle B as follows:

[tex]\angle B = 180^\circ - \angle A - \angle C[/tex]

Since the triangle is right-angled at C, we know that [tex]\angle C = 90^\circ[/tex]. Therefore, we can substitute the values of [tex]\angle A[/tex] and [tex]\angle C[/tex] in the equation above to get:

[tex]\angle B = 180^\circ - 27^\circ - 90^\circ[/tex]

Simplifying this expression, we get:

[tex]\angle B = 63^\circ[/tex]

Therefore, the measure of angle B in the right-angled triangle ACB is 63 degrees.

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Based on the data, Alejandro had a greater speed than Titus.

The mean time of Titus = 7. 2 minutes,

The mean time of Alejandro = 7. 1 minutes,

Calculating their average speed, which is the reciprocal of the time it takes them to run a mile, will allow to reasonably compare Titus and Alejandro's total running speed.

Using the formula for average speed -

Average speed = 1 / time

Calculating the average speed of Titus -

Average speed = 1/ Time taken by Titus

= 1 / 7.2

= 0.1389 miles per minute

Calculating the average speed of Alejandro  -

Average speed = 1/ Time taken by Alejandaro

= 1 / 7.1

= 0.1408 miles per minute

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Answer:

I want 2 use dis medium 2 thk y’all 4 being part of my 2022.

As a frnd I say a Big Thk u

As a customer I say a Big Thk u

As a partner I say a Big Thk u

As a family member I say a Big Thk u

As my god ordained helper I say a Big Thk u!

God bless u n see y’all in 2023 in Grand Style. Amen09165574045

The solution is,  -3 4/5 when converted to a decimal is -3.5.

We know that,

A decimal is a number that consists of a whole and a fractional part. Decimal numbers lie between integers and represent numerical value for quantities that are whole plus some part of a whole.

here, we have,

given number is:

-3 4/5

= - (3 + 4/5)

= - 17/5

= -3.5

Hence,  -3 4/5 when converted to a decimal is -3.5.

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The probability of a randomly selected person who owns a home also being a high school graduate is approximately 0.442 or 44.2%.

Based on the information provided, we know that there are:

Therefore, the probability of a randomly selected person who owns a home also being a high school graduate is:

P(G|H) = P(G and H) / Total number = 221/500 ≈ 0.442

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Seasonality may be less of a problem for annual data frequency as there may be less variation due to the longer time interval.

Annual data frequency refers to data that is collected and reported on an annual basis. This means that the data points in the dataset represent a full year's worth of data, with one data point for each year. Annual data is often used in economic indicators, such as gross domestic product (GDP) or unemployment rates, and can provide insights into long-term trends and changes over time.

GDP stands for Gross Domestic Product, which is a measure of the total value of goods and services produced within a country's borders during a specific time period, typically a year. It is used as an indicator of a country's economic health and growth. GDP is calculated by adding up the total spending on consumption, investment, government spending, and net exports (exports minus imports) during the period.

Seasonality may still be a problem for data frequencies of monthly, weekly, daily, and quarterly as certain patterns or fluctuations may occur within each of these time intervals. Seasonality may be less of a problem for annual data frequency as there may be less variation due to the longer time interval.

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The cost of the utility pole is approximately $1273.99 when rounded to the nearest cent.

To calculate the cost of the utility pole, we need to find its volume first. The formula for the volume of a cylinder is V = πr^2h, where r is the radius of the base of the cylinder and h is its height.

Here, the diameter of the utility pole is given as 1.5 ft. We need to find the radius, which is half of the diameter, so r = 0.75 ft. The height is given as 30 ft.

Using the formula, we get:

V = πr^2h = π(0.75 ft)^2(30 ft) = 53.36 ft^3

Now, we can calculate the cost of the utility pole by multiplying its volume by the cost of wood per cubic foot, which is $23.89 per cubic foot.

Cost = 53.36 ft^3 x $23.89/ft^3 ≈ $1273.99

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Answer:

y=(4/5)x

Step-by-step explanation:

Answer:

337 beads left to make bracelets

Step-by-step explanation:

9×40-23=337

Answer:

its 337

Step-by-step explanation:

40x9=360 -23 =337

The expression for the area of the rectangular region whose boundary is formed by the equations x=−c, x=+d, y=+a, y=−b is ad + bd + ac + bc.

The rectangular region whose boundary is formed by the equations x=−c, x=+d, y=+a, y=−b can be visualized as a rectangle with width d+c and height a+b.

Area is a measurement of the size of a two-dimensional surface, such as a plane or a flat shape.

Therefore, the area of the rectangular region is given by

Area = Width x Height

Substitute the values in the equation and find the expression of area

= (d + c) x (a+b)

= ad + bd + ac + bc

So the expression for the area of the rectangular region is

ad + bd + ac + bc.

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The given question is incomplete, the complete question is:

Let a, b, c, and d be positive numbers. Find the expression for the area of the rectangular region whose boundary is formed by the equations x=−c, x=+d, y=+a, y=−b?

Area of figure is 484ft².

The area of a rectangle is the amount of space that is enclosed by its sides. It is calculated by multiplying the length of the rectangle by its width. The formula for the area of a rectangle is:

Area = length x width

where "length" refers to the longer side of the rectangle, and "width" refers to the shorter side.

The formula for the area of a triangle is:

Area = (base x height) / 2

where "base" refers to the length of the side of the triangle that is parallel to the ground, and "height" refers to the length of a line that is perpendicular to the base and connects the base to the opposite vertex.

Area of figure=Area of 1st triangular part+ Area of rectangular part+ Area of 2nd triangle

=1/2× 22× 8 + 16 ×22 + 1/2 ×4×22

=88+352+44

=484ft².

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The correct option a. may.The data shown in the may histogram is more centered around a high peak.

A graph called a histogram is used to show the frequency distribution of a small number of data points for a single variable.

For the given two histograms,

May has the peak value for the frequency of day at 14.

July has the peak value for the frequency of day at 10.

Thus, The data shown in the may histogram is more centered around a high peak.

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Complete question-

which data set is more centered around a high peak??

a. may

b. july

c. neither

d. both

The diagram for the question is shown.