. Twelve out of 36 students in a class are in the
drama club. What is the ratio of the students in the
drama club to the students who are not in the
drama club?

A linear regression function, f(t), that estimates the day's coffee sales with a high temperature is f(t) = -58t + 6,182.

The correlation coefficient (r) is -0.94.

Yes, r indicates a strong linear relationship between the variables because r is close to -1.

In order to determine a linear regression function and correlation coefficient for the line of best fit that models the data points contained in the table, we would have to use an online graphing tool (scatter plot).

In this scenario, the high temperature would be plotted on the x-axis of the scatter plot while the y-values would be plotted on the y-axis of the scatter plot.

From the scatter plot (see attachment) which models the relationship between the x-values and y-values, the linear regression function and correlation coefficient are as follows:

f(t) = -58t + 6,182

Correlation coefficient, r = -0.944130422 ≈ -0.94.

In this context, we can logically deduce that there is a strong linear relationship between the data because the correlation coefficient (r) is closer to -1;

-0.7＜|r| ≤ -1.0   (strong correlation)

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Missing information:

State the linear regression function, f(t), that estimates the day's coffee sales with a high temperature of t.  Round all values to the nearest integer. State the correlation coefficient, r, of the data to the nearest hundredth.  Does r indicate a strong linear relationship between the variables?  Explain your reasoning.

n should be a whole number, we round up to the nearest integer, giving n = 540. Therefore, if Russel wants 0.99 certainty, n should be at least 540.

To determine how large n should be in order to have a certain level of certainty about the true probability p, we can use the concept of confidence intervals.

For a binomial distribution, the estimate of the probability p is X/n, where X is the number of successes (in this case, the number of times tails is obtained) and n is the number of trials (the number of times the coin is flipped).

To find the confidence interval, we need to consider the standard error of the estimate. For a binomial distribution, the standard error is given by:

SE = sqrt(p(1-p)/n)

Since p is unknown, we can use a conservative estimate by assuming p = 0.5, which gives us the maximum standard error. So, SE = sqrt(0.5(1-0.5)/n) = sqrt(0.25/n) = 0.5/sqrt(n).

To ensure that the true p is within 0.1 of the estimate X/n with at least 0.95 certainty, we can set up the following inequality:

|p - X/n| ≤ 0.1

This inequality represents the desired margin of error. Rearranging the inequality, we have:

-0.1 ≤ p - X/n ≤ 0.1

Since p is unknown, we can replace it with X/n to get:

-0.1 ≤ X/n - X/n ≤ 0.1

Simplifying, we have:

-0.1 ≤ 0 ≤ 0.1

Since 0 is within the range [-0.1, 0.1], we can say that the estimate X/n with a margin of error of 0.1 includes the true probability p with at least 0.95 certainty.

To find the value of n, we can set the margin of error equal to the standard error and solve for n:

0.1 = 0.5/sqrt(n)

Squaring both sides and rearranging, we get:

n = (0.5/0.1)^2 = 25

Therefore, n should be at least 25 to know with at least 0.95 certainty that the true p is within 0.1 of the estimate X/n.

If Russel wants 0.99 certainty, we need to find the value of n such that the margin of error is within 0.1:

0.1 = 2.33/sqrt(n)

Squaring both sides and rearranging, we get:

n = (2.33/0.1)^2 = 539.99

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Answer:

GCF, Greatest Common Factor

Step-by-step explanation:

Hope this helped

The average change in temperature per hour is 7.1°.

Given, the temperature in a certain city changed to 34.084°F

over 4.8 hours.

the average change in temperature per hour = ?

average temperature = change in temperature/time taken.

= 34.08/4.8

= 71/10

= 7.1°f

the change in temperature is 7.1°f

Hence the change in temperature per hour is 7.1°f.

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By using the concept of probability, it can be determined that there are approximately 400 red marbles in the bag.

To determine the number of red marbles in the bag without counting them, we can utilize the concept of probability. The probability of drawing a red marble from the bag can be calculated by dividing the number of red marbles by the total number of marbles in the bag. In this case, there are 400 red marbles and 1100 total marbles, resulting in a probability of 400/1100.

Since the probability is a ratio, we can use it to estimate the number of red marbles in the bag. Multiplying the probability by the total number of marbles in the bag gives us an estimate of the number of red marbles. Therefore, by multiplying (400/1100) by 1100, we find that there are approximately 400 red marbles in the bag.

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Given the diagram below

Introducing 'a', as shown above, it can be observed that

It can also be observed that

It can also be observed that

Substitute for y to get z

Hence, the value of y is 34°, while z is 119°.

To compute the present value of $1,000 discounted at the rate of 5% per year, to be received at the end of 3 years, you should enter the variables N=3, i=5, and FV=1000 into a financial calculator.

The correct option is B) N=3, i=5, FV=1000.

In finance, the present value (PV) represents the current worth of a future cash flow, considering the time value of money. To calculate the present value, we need to know the future value (FV), the interest rate (i), and the number of periods (N). By entering N=3 (3 years), i=5 (5% per year), and FV=1000 ($1,000).

the financial calculator will compute the present value, which represents the amount that is equivalent to $1,000 in the future, discounted at a 5% interest rate over 3 years.

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There is about a 2.47% chance that at least one of the 5 chocolate bars you purchased contains a golden ticket.

To calculate the probability of getting at least one golden ticket, we can calculate the probability of not getting any golden tickets and then subtract it from 1.

The probability of not getting a golden ticket from a single chocolate bar is (1000-5)/1000 = 0.995.

Since the purchase consists of 5 chocolate bars, the probability of not getting a golden ticket from any of them is (0.995)^5 = 0.9753.

Therefore, the probability of getting at least one golden ticket is 1 - 0.9753 = 0.0247, or approximately 2.47%.

So, there is about a 2.47% chance that at least one of the 5 chocolate bars you purchased contains a golden ticket.

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approximately 97.5% of the sample will have values below 600.

The empirical rule states that about 68 % of the sample will be within one standard deviation of the mean, approximately 95 % will be within two standard deviations of the mean, and approximately 99.7 % will be within three standard deviations of the mean.

We must determine the z-score for a value of 600 using the following formula in order to determine the proportion of the sample that has values lower than 600.

z = (x - μ) / σ

If x is the value for which we wish to calculate the probability, is the sample mean, and is the sample standard deviation.

When we enter the values we have, we get:

z = (600 - 500) / 50 = 2

The number of 600 is therefore two standard deviations above the mean.

Approximately 95% of the sample will, under the empirical criterion, lie within two standard deviations of the mean. We can infer that since 600 is two standard deviations above the mean, 2.5% of the sample will have values above 600.

Therefore, approximately 97.5% of the sample will have values below 600.

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Answer:

Step-by-step explanation:

In a tent, there are nine boys.

There were five tents.

5 tents containing 9 boys can equal 45 boys.

(5 x 9 = 45)

In a cabin, there are seven boys.

There were four cabins.

4 cabins containing 7 boys can equal 28 boys.

(4 x 7 = 28)

Now, to find all the boys, add the numbers together.

28 boys with 45 boys will equal 73 boys.

Please check my answer for no one, not even me is right.

Good luck :)

Answer:

To find -134 + 53, add the ones place (4+3=7) and the tens place (5+3=8), giving you -81.

Answer: -81.

Answer:

-81

Step-by-step explanation:

You subtract the absolute values and take the sign of the larger absolute value.

Absolute value is the distance from zero.  This will be a positive number

134 - 53 = 81

The sign will be negative because the sign of the higher absolute value number is negative.  134 has a larger absolute value than 53 and it is negative, so our answer is negative.

Helping in the name of Jesus.

Answer:

1 = 19.     3 = 21.     7 = 25

Step-by-step explanation:

w = t + 18

19 = 1 + 18

21 = 3 + 18

25 = 7 + 18

Answer:19 for first answer. Second answer is subtract 16 from both sides

Step-by-step explanation:76/4 first answer

Answer:

(2x-30)(2x-20)(x-60)

Step-by-step explanation:

you're welcome

Arrange the data in an ascending order and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers.49

Answer:

The range is 23

Step-by-step explanation:

1. Organize least to greatest:

39, 40, 44, 48, 49, 52, 54, 58, 62

2. Find the largest and the smallest nmber:

39 and 62

3. Subtract:

62

-39

=23

Answer:

B. -9

Step-by-step explanation:

PLATO correct

The standard deviation of the mean birth weights for samples of 100 babies is 50 grams.

The standard deviation of the mean birth weights for samples of 100 babies can be calculated using the formula:

Standard deviation of the mean = Standard deviation of the population / sqrt(sample size)

Given that the standard deviation of birth weights for individual babies in the population is 500 grams, and the sample size is 100, we can plug in these values into the formula:

Standard deviation of the mean = 500 / sqrt(100) = 50 grams

Therefore, the standard deviation of the mean birth weights for samples of 100 babies is 50 grams.

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Answer:

\( - \frac{3}{2} \)

Step-by-step explanation:

The slope of a line passing through two points can be calculated using the formula below:

\(\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }\)

Slope

\( = \frac{9 - 6}{3 - 5} \)

\( = \frac{3}{ - 2} \)

\( = \bf{- \frac{3}{2} }\)

Answer: \(m=-\frac{3}{2}\)

Step-by-step explanation:

Use the slope formula to find the slope. of \((5,6) and (3,9)\)

Answer: At least 13

Step-by-step explanation:

Answer:

We have to use addition or subtraction property of equality to determine the value of variable involve.

Step-by-step explanation:

Example with variable term:

3x=4-x

Add x on both sides of equation:

3x+x=4-x+x

4x=4

x=1

Example with contact involve:

5y+7=12

Subtract 7 from both sides

5x+7-7=12-7

5x=5

x=5/5

x=1

Answer:

the answer would be (-2,5)

Hope it helps!

Answer:

(-2,5)

Step-by-step explanation:

The quadrant is was by the 2 then you use that knowledge to get your answer

Answer:

[-9. -8]

[2. 0]

Step-by-step explanation:

all you have to do is multiple each number with the corresponding number in the other column

Answer:

Step-by-step explanation:

-5 6

1 -4

Answer:

12

Step-by-step explanation:

using pythagoras theorem

here 15 is hypotenuse since it is opposite 0f 90 degree

9 and x are the other smaller sides of a triangle

according to pythagoras thorem the sum of square of two smaller sides of a triangle is equal to the square of hypotenuse. So,

9^2 + x^2 = 15^2

81 + x^2 = 225

x^2 = 225 - 81

x^2 = 144

x = \(\sqrt{144\)

x = 12

In this case, Asset A has a return of 16% and represents 60% of the portfolio, while Asset B has a return of 22% and represents 40% of the portfolio. The correlation between Asset A and B is given as 0.93.

To calculate the expected return of the portfolio, we use the following formula:

Expected Return = (Weight of Asset A * Return of Asset A) + (Weight of Asset B * Return of Asset B) + (2 * Weight of Asset A * Weight of Asset B * Correlation between A and B * Standard Deviation of Asset A * Standard Deviation of Asset B)The expected return for a portfolio composed of two assets, A and B, can be calculated using the weighted average of the individual asset returns, considering their respective weights in the portfolio.

By plug in the given values and performing the calculations, we can determine the expected return for the portfolio comprised of 60% Asset A and 40% Asset B.

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Answer:

4760

Step-by-step explanation:

Simple interest= principal× time ×rate/100

=3500×4×9/100

= 1260

Amount that will be in the bank after 4years= 3500+1260

=4760

Let X be the random variable representing the number of defective screws. Then X follows a binomial distribution with parameters n=10000 and p=1-0.992=0.008 (since the probability of a screw being defective is complementary to the probability of it being non defective, which is given as 0.992).

We want to find the probability that at least 72 screws will be defective, which can be written as: P(X >= 72) = 1 - P(X < 72)We can use a binomial calculator or software to find P(X < 72) directly. Alternatively, we can use a normal approximation to the binomial distribution, since n is large (10000) and p is small (0.008). The mean of X is given as μ = np = 10000 * 0.008 = 80, and the standard deviation of X is given as σ = sqrt(np(1-p)) = sqrt(10000 * 0.008 * 0.992) = 8.944.

Using the continuity correction, we can approximate P(X < 72) by: P(X < 72.5) = P(Z < (72.5 - 80) / 8.944) = P(Z < -0.876) = 0.1915, where Z is a standard normal random variable with mean 0 and standard deviation 1.Therefore: P(X >= 72) = 1 - P(X < 72) ≈ 1 - 0.1915 = 0.8085The probability that at least 72 screws will be defective is approximately 0.8085 or 80.85%.

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The total height in feet of the  piece of plywood is 14 foot.

The theorem states that the square of the hypotenuse of a right triangle is equal to the sum of the square of the other two sides.

The Pythagoras theorem: a² + b² = c²

where a = length

b = base

c = hypotenuse

13² = 5²  + h²

169 = 25 + h²

h²  = 169 - 25

h²  = 144

h = √144

h = 12 foot

12 + 2 = 14 foot

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Answer:

28

Step-by-step explanation:

3x² - 2x + 7

→ Substitute x = 3

3 × 3² - 2 × 3 + 7 ⇔ 3 × 9 - 6 + 7 ⇔ 27 - 6 + 7 ⇔ 21 + 7 ⇔ 28

Answer:

(3x + 7y)^2 =  9 x^2 + 42xy + 49y^2

Step-by-step explanation: