help please ive never learned stem and leaf plot before

If the "arithmetic-sequence" which has "first-term" as 25, then it's 13th term will be -71.

The first-term of the "arithmetic-sequence" is denoted as "a₁" is 25,

The common-difference denoted as "d" is -8,

We can use the formula for the nth term of an arithmetic sequence to find the 13th term. The formula is : aₙ = a₁ + (n - 1)d;

where, n is = number of the term we want to find,

We have to find the 13th term, so, n is = 13,

Substituting the values,

We get;

a₁₃ = 25 + (13 - 1)(-8)

a₁₃ = 25 + 12(-8)

a₁₃ = 25 - 96

a₁₃ = -71

Therefore, the 13th term of arithmetic sequence is -71.

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The probability of  number of times we draw a card is 3.

The probability of drawing a heart or a face card on any given draw.

There are 16 such cards in the deck (4 kings, 4 queens, 4 jacks, and 4 hearts), out of a total of 52 cards. So the probability of drawing a heart or a face card on any given draw is 16/52, which simplifies to 4/13.
Now, to calculate the expected number of draws until we get a heart or a face card, we can use the formula:
Expected number of draws = 1/P(event)
where P(event) is the probability of the event happening. In this case, the event is drawing a heart or a face card, so:
Expected number of draws = 1 / (4/13) = 13/4 = 3.25
So on average, we would expect to draw a card 3.25 times before getting a heart or a face card. However, since we cannot draw a fraction of a card, the actual number of draws will either be 3 or 4.

Hence,  the expected number of times we draw a card is 3 (or 4, if the last card drawn is not a heart or a face card).


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To maximize the probability of selecting a black ball if one ball is chosen at random from one of two buckets containing 50 black and 50 white balls, all 50 black balls should be put in one bucket and the other bucket should contain 49 white balls and 1 black ball.

To maximize the probability of selecting a black ball, you need to ensure that there are more black balls in one of the buckets than in the other.

Here's one possible way to divide the balls

Put all 50 black balls in one bucket (Bucket A).

Put 49 white balls and 1 black ball in the other bucket (Bucket B).

With this arrangement, Bucket A has a 100% chance of yielding a black ball if a ball is chosen at random, and Bucket B has a slightly less than 50% chance of yielding a black ball (specifically, a 1/50 chance, since there is only 1 black ball among the 50 balls in that bucket).

Therefore, the overall probability of selecting a black ball from one of the two buckets is maximized using this arrangement.

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Answer:

D

Step-by-step explanation:

The answer is D

To find this answer you find the need to find the equation of the lines. The equation of the first line is [tex]-\frac{5}{2} + 40[/tex] . I found this because I looked at the rise/run or how much the graph is moving up or down. In this graph, it is moving down by 1. But the graph is incremented by 5 so the rise is 5. Next, the graph is moving left by 2 so the slope is -5/2. The y-intercept is 40 because it is the place where the line hits the y-axis.

The next equation for the line is repeating the same steps and you get [tex]-\frac{5}{3}+15[/tex].  

The next part would be the solution of the lines. The solution is where the two lines intersect. The lines intersect at (6, 25). Only answer D has all these parts correct.

There will be about 288,207.08 people living in the city in five years.

The population of a city with a 230,000-person population that increases by 5% year can be determined using the compound interest formula. Compound interest is calculated as follows: A = P(1 + r/n)nt

Where n is the number for times it is added up per year, r is the yearly interest rate, A is the potential value, P is the current value, and t is the length of the period in years. In this instance, the present value was 230,000, the yearly interest rate was 5%, the duration of the period is 5, and the interest compounded once a year. When these values are added for the formula, we obtain:

[tex]A = 230000(1 + 0.05/1)^(1 \times 5)[/tex]

[tex]A = 230000(1.05)^5[/tex]

A = 288,207.08

The growth rate is assumed to stay constant throughout at all times period, which could sometimes not be the case. When predicting population increase, it is also important to take into account additional variables like migration, birth rate, as well as mortality rate.

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The slope of the line is 2/5 or 0.4 as a decimal.

What is slope?

In mathematics, slope refers to the steepness or incline of a line on a graph. It is a measure of how much the dependent variable changes for every unit change in the independent variable.

The slope of a line can be found using the formula:

slope = (change in y) / (change in x)

Let's use the given points (-5,0) and (5,4) to find the slope:

slope = (4 - 0) / (5 - (-5)) = 4/10 = 2/5

We subtract the y-coordinates and x-coordinates of the two points separately to find the change in y and change in x, respectively, and then divide the change in y by the change in x to get the slope.

Therefore, the slope of the line is 2/5 or 0.4 as a decimal.

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Look at what angle G is looking at what arc

As you can kinda tell it is arc CDF

And also here an image for the intercepted arc rule and how it works

Answer: The function that is NOT increasing for all values of x is A. f(x) = x^2

Answer:

(D). Therefore, the correct answer is

Step-by-step explanation:

the other images. A rotation of 180 degrees clockwise about the point (1,2) means that every point on the blue object (D) will move to a new position that is 180 degrees away from the point (1,2) on a circle. The distance from the point (1,2) to the new position will be the same as the distance from the point (1,2) to the original position.

One way to find the new position is to use the formula:

(x′,y′)=(2x−x0​,2y−y0​)

where (x′,y′) is the new position, (x,y) is the original position, and (x0​,y0​) is the center of rotation. In this case, (x0​,y0​)=(1,2).

For example, let’s take the point (3, 4) on the blue object (D). Applying the formula, we get:

(x′,y′)=(2×3−1,2×4−2)

(x′,y′)=(5,6)

This means that the point (3, 4) on the blue object (D) will move to the point (5, 6) after the rotation.

We can repeat this process for all the points on the blue object (D) and see which image matches the new positions. Alternatively, we can use a visual method by drawing a line from each point on the blue object (D) to the point (1,2) and extending it until it reaches another point on the same circle. That point will be the new position after the rotation.

Using either method, we can see that none of the images match the rotation of the blue object (D). Therefore, the correct answer is:

The minimum number of children's tickets sold is 97 and the minimum number of adult tickets sold is 297.

Let's start by setting up two equations based on the given information:

Let x be the number of children's tickets sold.

Then, the number of adult tickets sold is x + 200.

The revenue from the children's tickets is 18x, and the revenue from the adult tickets is 11(x + 200).

The total revenue is the sum of these two:

Total revenue = 18x + 11(x + 200)

Simplifying this expression:

Total revenue = 18x + 11x + 2200

Total revenue = 29x + 2200

We also know that the total revenue is at least $5000. So, we can set up an inequality:

Total revenue ≥ 5000

Substituting the expression for the total revenue, we get:

29x + 2200 ≥ 5000

Subtracting 2200 from both sides:

29x ≥ 2800

Dividing both sides by 29:

x ≥ 96.55

Since we can't sell a fraction of a ticket, we need to round up to the nearest whole number, which gives us:

x ≥ 97

So, the minimum number of children's tickets sold is 97.

x + 200 = 97 + 200 = 297

Therefore, the minimum number of children's tickets sold is 97 and the minimum number of adult tickets sold is 297.

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Answer:

350

Step-by-step explanation:

C = 40g + 15s

C = 40(7) + 15(4)

C = 280 + 70

C = 350

b) 'The probability of success remains the same from trial to trial' is true for a binomial distribution.

A binomial distribution is a discrete probability distribution that describes the number of successes in a fixed number of independent trials, where the probability of success remains constant from trial to trial.

The Poisson distribution, on the other hand, is a discrete probability distribution that describes the number of events occurring in a fixed interval of time or space, where the events are rare and random, and the mean number of events per interval is constant.

The number of possible outcomes in a binomial distribution depends on the number of trials and the number of possible outcomes in each trial, and there is no specific requirement for a minimum number of outcomes.

The value of T is not relevant or defined in the context of a binomial distribution.

Correct Question :

Which is true for a binomial distribution?

a) It approximates the Poisson distribution

b) The probability of success remains the same from trial to trial

c) There are ten or more possible outcomes

d) The value of T Is equal to 1.50,

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To complete 4 whole numbers using the fractions 2/3 and 13/7, a total of 31/21 is needed.

To determine how much is needed to complete 4 whole numbers using the fractions 2/3 and 13/7, we need to find the sum of these fractions and subtract it from 4.

First, we need to find a common denominator for the fractions. In this case, the least common multiple (LCM) of 3 and 7 is 21.

We convert the fractions to have the same denominator:

(2/3) x (7/7) = 14/21

(13/7) x (3/3) = 39/21

Now we add the fractions:

14/21 + 39/21 = 53/21

We subtract this sum from 4 whole numbers:

4 - 53/21

To perform this subtraction, we need to have the same denominator:

4 = (4/1) x (21/21) = 84/21

We subtract the fractions:

84/21 - 53/21 = 31/21

Therefore, to complete 4 whole numbers using the fractions 2/3 and 13/7, a total of 31/21 is needed.

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The x-intercept is 5.5 and the y-intercept is -7.5 for the given line.

The point on a graph where a line or curve meets the y-axis or x-axis is referred to as an intercept in mathematics and statistics. It also goes by the names y-intercept and x-intercept.

The intercept is the value of y when x is 0 in a linear equation of the form y = mx + b. When the independent variable (x) is zero, the value of y is represented by the intercept term (b). Similarly, the x-intercept indicates the value of x when y is zero, and the constant term (a) reflects the value of x when the dependent variable (y) is zero in an equation of type x = a + by.

The x-axis is cut at point 5.5 by the straight line and the y-axis is cut by the line at -7.5.

Therefore, the x-intercept is 5.5 and the y-intercept is -7.5.

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Step-by-step explanation:

area = pi  * radius ^2

36 ft^2 = pi * radius^2

radius = 3.39 feet                    diameter = 2 x radius = 6.77 ft

Circumference = pi * diameter = 21.27 ft

Answer:130

Step-by-step explanation:

2 x 115 to find measure of major arc. Then 360 - 230 = 130

The length of the midsegment x is given as follows:

x = 9.

The value of x for this problem are obtained considering the triangle midsegment theorem, which states that the midsegment of the triangle has a length that is equals to half the length of the base of the triangle.

The length of the base of the triangle in this problem is given as follows:

18 units.

Hence the length of the midsegment x is given as follows:

x = 0.5 x 18.

x = 9 units.

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Answer:

50 m

Step-by-step explanation:

BC if she walked 20 metres from the history class and 30 for the art it's 50 m

Answer: 5/12

Step-by-step explanation:

2/3 - 1/4

Find equivalent fractions that have the same denominator.

2/3 is the same as 8/12

1/4 is the same as 3/12

8/12 - 3/12 = 5/12

5/12

To write a linear function f(x) with the values f(3) = -4 and f(5) = -4, we can use the point-slope form of a linear equation:

f(x) - y1 = m(x - x1)

where (x1, y1) is a point on the line and m is the slope of the line.

Using the two given points, we have:

f(3) = -4 and f(5) = -4

This means that (3, -4) and (5, -4) are two points on the line.

To find the slope, we can use the slope formula:

m = (y2 - y1) / (x2 - x1)

m = (-4 - (-4)) / (5 - 3)

m = 0 / 2

m = 0

Therefore, the slope of the line is 0.

Using the point-slope form with the point (3, -4) and the slope m = 0, we get:

f(x) - (-4) = 0(x - 3)

f(x) + 4 = 0

f(x) = -4

So, the linear function f(x) that passes through the points (3, -4) and (5, -4) is f(x) = -4.

Answer: it’s -0,6 which is C

Step-by-step explanation:

The annual percentage rate (APR) of the loan is 2.7%.

To find the annual percentage rate (APR) of the loan, we need to use the formula

APR = (2 × P × R / N) × 100

where P is the principal amount (in this case, $1135), R is the interest rate (in decimal form), and N is the total number of payments (in this case, 9).

We can solve for R by first finding the total amount paid over the course of the loan, which is

Total amount paid = 9 × $132.51 = $1192.59

The amount of interest paid on the loan is therefore

Interest paid = $1192.59 - $1135 = $57.59

Now we can use the formula to solve for R

R = (Interest paid × N) / (2 × P × N)

R = ($57.59 × 9) / (2 × $1135 × 9)

R = 0.027 or 2.7%

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Answer: P = 1800 + 60n

$3240

Step-by-step explanation:

her pay (P) would start at 1800, and she would gain 60 dollars for every copy (N) she sells.

Answer:

In parallelogram PSQSR, Pq represents the length of the side PQ.

Since PSQR is a parallelogram, opposite sides are equal in length. Therefore, Pq is equal in length to the side SR, which is opposite to Pq in the parallelogram.

So, if the length of SR is given, then Pq is also equal to that length. If the length of SR is not given, then Pq cannot be determined.

Step-by-step explanation:

Answer:

(n * (n - 1)) / 2

Step-by-step explanation:

If we have n collinear points, then we can draw n - 1 non-overlapping rays starting from any point on the line. This is because if we choose any two points on the line, then we can draw a unique ray passing through them, and since there are n choose 2 pairs of points on the line, we can draw n choose 2 = (n * (n - 1)) / 2 rays passing through them. However, each of these rays is counted twice (once for each of its endpoints), so we divide by 2 to get the final answer.

Therefore, the number of distinct rays that can be drawn from n collinear points is:

(n * (n - 1)) / 2

Note that this formula assumes that no three points are collinear, as otherwise, the number of rays would be infinite.

Based on the table, statement which is true is C) About 20% of the students prefer Orange.

To find the correct answer, we need to calculate the total number of students surveyed and the number of students who prefer each flavor.

The total number of students surveyed is:

34 + 35 + 36 + 38 + 27 + 35 = 205

The number of students who prefer Chocolate is:

34 + 38 = 72

The number of students who prefer Mint is:

35 + 27 = 62

The number of students who prefer Orange is:

36 + 35 = 71

So, the correct statement is:

C. About 20% of the students prefer Orange.

To calculate this, we can use the following formula:

Percentage of students who prefer Orange = (Number of students who prefer Orange / Total number of students surveyed) x 100

= (71 / 205) x 100

= 34.63% (rounded to the nearest whole number)

Since the percentage is closest to 20%, we can conclude that about 20% of the students prefer Orange. Therefore, option C is correct.

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The scale factor of the flagpole is 1/300.

A scale factor is a representative factor that can be used to either increase or decrease the size of a given object. This is majorly used in scale drawing.

scale factor = length on drawing/ original length

Given a flagpole of height 4.5 m but represented as 1.5 cm, then;

1.5 cm = 0.015 m

Then;

scale factor = 0.015/ 4.5

                    = 15/ 4500

                    = 1/ 300

The scale factor of the representation in the picture is 1/300.

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The collection of outcomes for the event e of rolling a sum of 5 contains 4 possible outcomes: {1, 4}, {2, 3}, {3, 2}, {4, 1}.

To find the number of outcomes in the event of rolling a sum of 5, we need to determine all the possible ways to get a sum of 5 when rolling two number cubes.

There are several ways to get a sum of 5

The first cube lands on 1 and the second cube lands on 4.

The first cube lands on 2 and the second cube lands on 3.

The first cube lands on 3 and the second cube lands on 2.

The first cube lands on 4 and the second cube lands on 1.

Therefore, the collection of outcomes for the event e of rolling a sum of 5 contains 4 possible outcomes

{1, 4}, {2, 3}, {3, 2}, {4, 1}

So, there are 4 outcomes in the collection for event e.

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The values of t that place 85% of the area in the middle of the distribution are between -3.379 and 3.379.

To find the values of t that place 85% of the area in the middle of the distribution, we need to find the t-scores that correspond to the 7.5th and 92.5th percentiles of the t-distribution with 46 degrees of freedom.

We can use a t-table or a statistical software to find these values. Using a t-table, we can look up the critical t-values for the two tails of the distribution that include 7.5% and 92.5% of the area.

For a two-tailed test at the 5% significance level with 46 degrees of freedom, the critical t-value is approximately 2.013.

To find the t-scores for the 7.5th and 92.5th percentiles, we need to multiply the critical t-value by the corresponding t-multiplier for the degrees of freedom. For 46 degrees of freedom, the t-multiplier is approximately 1.678.

Thus, the t-score that corresponds to the 7.5th percentile is -2.013 x 1.678 = -3.379, and the t-score that corresponds to the 92.5th percentile is 2.013 x 1.678 = 3.379.

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The given question is incomplete, the complete question is:

Consider a t distribution with 46 degrees of freedom. What values of t place 85% of the area in the middle of the distribution?

Answer:

To factor the expression 12x^2 - 8x - 15 by grouping, we need to rewrite it as a sum of two terms, each of which has a common factor. One possible way to do this is:

12x^2 - 8x - 15 = (4x - 5)(3x + 3)

To check if this is correct, we can use the distributive property to expand the product (4x - 5)(3x + 3), which gives:

(4x - 5)(3x + 3) = 12x^2 + 2x - 15

We can see that this is equivalent to the original expression 12x^2 - 8x - 15, so the factoring is correct.

To obtain this factored form by grouping, we can group the first two terms and the last two terms of the expression:

12x^2 - 8x - 15 = (12x^2 - 18x) + (10x - 15)

We can then factor out the GCF from each group:

12x^2 - 8x - 15 = 6x(2x - 3) + 5(2x - 3)

Notice that the terms 6x and 5 have a common factor of (2x - 3). Factoring out this common factor, we get:

12x^2 - 8x - 15 = (2x - 3)(6x + 5)

Therefore, the expanded form of 12x^2 - 8x - 15 that can be used to factor the expression by grouping is:

(2x - 3)(6x + 5)

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