A retail store was considering changing its inventory to appeal to a younger audience. The store randomly surveyed its shoppers to determine the average age of people that visit the store. The ages of the first 10 people surveyed are given below. The manager wants to know if the mean age of its shoppers is significantly higher than 21. Assume that the ages of all shoppers at this store are normally distributed. 24 | 20 | 36 | 19 | 22 | 29 | 24 | 18 19 25 Use a calculator to test whether the true mean age of the store's shoppers is over 21. Identify the test statistic from the calculator output, rounding to two decimal places.

Answer:

2714 mm3

Step-by-step explanation:

   Volume of the material used in each cylindrical cracker is 2714 cubic mm.

         Volume = πr²h

Given in the question,

Material used in cracker = Volume of the whole cracker - Volume of the cylindrical hole

                                         = \(\pi (\frac{16}{2} )^2(18)-\pi (\frac{8}{2} )^2(18)\)

                                         =  1152π - 288π

                                         = 864π

                                         = 2714.34

                                         ≈ 2714 cubic mm.

  Therefore, volume of the material used in each cracker will be 2714 mm³.

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Answer:

16, Each side of the sqaure is 4 sq. units. 4+4+4+4=16 The area is also 16. 4x4=16

Step-by-step explanation:

The proof that shows that the quadrilateral is a square is from that fact that all of the sides have the same length.

The perimeter of the quadrilateral is given as

4+4+4+4 = 16

4L = 4X4 = 16

Hence it has being proven that the area and the perimeter of the shape is 16 hence this shape can be said to be a square.

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Answer:

Step-by-step explanation:

2(√x+2/2 - 1)² + 4 (√x+2/2 - 1)

2((√x+2/2)² + 1² - 2(√x+2/2)(1)) + 4√x+2/2 - 4

2(x+2/2 + 1 - 2(√x+2/2)) + 4√x+2/2 - 4

x + 2 + 2 - 4√x+2/2 + 4√x+2/2 - 4

x + 4 - 4

x

Answer:

the answer is x

Step-by-step explanation:

Answer:

106.68

Step-by-step explanation:

You have to multiply   the es inches by 2.54

Answer:

The trapezoid(??) is worth 15. The moon(??) is worth 11.

Step-by-step explanation: 15 = 11+2+2

This relationship shows that the diameter of the central circle (2R) is twice the diameter of each outer circle (2r).

In this configuration, four outer circles are placed around a central circle, such that they are all tangent to the central circle and tangent to each other.
To determine the relationship between the diameter of the outer circles and the diameter of the inner circle, follow these steps:
1. Let the radius of the outer circles be r and the radius of the central circle be R.
2. In this arrangement, the distance between the centers of any two adjacent outer circles is equal to the sum of their radii, which is 2r.
3. Now, draw a straight line connecting the centers of these two adjacent outer circles.

This line will pass through the center of the central circle.
4. The length of this line is the sum of the radii of the outer circle, the central circle, and another outer circle, which is

r + R + r = 2r + R.
5. Observe that the line connecting the centers of the two adjacent outer circles, along with the radii connecting the center of the central circle to the points of tangency, forms a right-angled isosceles triangle.
6. Since it is an isosceles triangle, the length of the line connecting the centers of the two adjacent outer circles (2r + R) is also the length of the other side of the triangle, which is equal to the diameter of the outer circle (2r).
7. Therefore, the relationship between the diameter of the outer circles and the diameter of the inner circle is:

2r = 2r + R.
8. Simplify the equation to find the relationship: R = 2r.

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The probability of randomly picking 3 red marbles in a row is:

P = 0.0315

If all the marbles have the same probability of being randomly selected, then the probability of selecting at random a red marble is equal to the quotient between the number of red marbles and the total number of marbles in the bag.

There are 6red ones and (6 + 8 + 5 = 19) 19 marbles in total, then the probability is:

P = 6/19

And we want to do this thing 3 time (when we get the red marble we return it to the bag).

Then we will have the probabilities:

q = 6/19

k = 6/19

The joint probability of these 3 events is the product between the individual probabilities, we will get:

P = (6/19)*(6/19)*(6/19) = 0.0315

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Answer:

-4 -2

Step-by-step explanation:

i'm just guessing it

Answer:

Write 3,546,000 in scientific notation.

3.546 × 10⁶

Answer:

non of these choice are correct

Step-by-step explanation:

288.09-43.15+100.00-24.10 = 320.84

A scatter diagram is a preliminary or initial step in exploring a relationship between two variables.

A scatter diagram is a graphical tool used to investigate the relationship between two variables. The first step in exploring a relationship between two variables is to create a scatter diagram.

This diagram shows the relationship between two variables as a set of ordered pairs of data points, where one variable is plotted on the horizontal axis and the other variable is plotted on the vertical axis.

The pattern or trend in the plotted points on the scatter diagram can provide useful information about the relationship between the variables. For example, if the points form a roughly linear pattern, it suggests a positive or negative correlation between the variables, while a scatterplot with no clear pattern suggests no correlation.

Therefore, creating a scatter diagram is an essential first step in exploring a relationship between two variables.

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First, we want to note two things:

We can describe this with an inequality:  x ≥ -10
Be sure you use ≥ and not >, since -10 is included.

We can describe this with interval notation: [ -10, infty )
Be sure you use [ and not ( on -10, since -10 is included.

You can also use set-builder notation: { x | x ≥ -10 }

Answer:

A, I had to look for a second

Step-by-step explanation:

ACD and CEB are equal and CDE is not equal to either of them

so the right answer is A

Answer:

24

Step-by-step explanation:

9-3=6 and 6 divided by 1/3 is 18. then u  add 18 plus 6 and that'll give u 24.

To determine if the bolts vary by more than the required variance, we can conduct a hypothesis test. The null hypothesis (H₀) states that the variance of the bolts is equal to or less than the required variance (σ² ≤ 0.025), while the alternative hypothesis (H₁) states that the variance is greater than the required variance (σ² > 0.025).

Next, we need to determine the critical value(s) of the test statistic. Since we are testing for variance, we will use the chi-square distribution. For a one-tailed test with α = 0.01 and 14 degrees of freedom (n-1), the critical value is 27.488.

Now, we can compare the test statistic to the critical value. The test statistic is calculated as (n-1) * s² / σ², where n is the sample size (15), s² is the sample variance (0.1587²), and σ² is the required variance (0.025).

If the test statistic is greater than the critical value, we reject the null hypothesis and conclude that the bolts vary by more than the required variance. Otherwise, we fail to reject the null hypothesis.

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To determine if the bolts vary by more than the required variance, we can conduct a hypothesis test. The null hypothesis (H₀) states that the variance of the bolts is equal to or less than the required variance (σ² ≤ 0.025), while the alternative hypothesis (H₁) states that the variance is greater than the required variance (σ² > 0.025).

Next, we need to determine the critical value(s) of the test statistic. Since we are testing for variance, we will use the chi-square distribution. For a one-tailed test with α = 0.01 and 14 degrees of freedom (n-1), the critical value is 27.488.

Now, we can compare the test statistic to the critical value. The test statistic is calculated as (n-1) * s² / σ², where n is the sample size (15), s² is the sample variance (0.1587²), and σ² is the required variance (0.025).

If the test statistic is greater than the critical value, we reject the null hypothesis and conclude that the bolts vary by more than the required variance. Otherwise, we fail to reject the null hypothesis.

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Answer:

C

Step-by-step explanation:

Answer:

C: $146.43

Step-by-step explanation:

I just did the test. NOTICE: Edge loves moving stuff around so make sure its actually C... Look for $146.43

Answer:

A rectangle

Step-by-step explanation:

A square can be a rectangle but a rectangle can't always be a square.

Katherine will make a profit of $100.

To calculate the profit, we need to calculate the total revenue and the total cost. The total cost includes the cost of growing flowers, and the total revenue includes the amount from selling the flowers as well as the money made from piano lessons.The total cost is given by the sum of the cost of planting seeds and growing flowers.

Cost of planting seeds = $50

Total hours spent in planting seeds = 5

Cost of growing flowers = 0 (because the problem doesn’t state how much it costs to grow flowers)

Total Cost = Cost of planting seeds = $50

The total revenue is given by the sum of the money earned from selling the flowers and the money earned from giving piano lessons.

Money earned from selling flowers = $150

Money earned from piano lessons = 0 (because it is not mentioned in the problem)

Total Revenue = Money earned from selling flowers = $150

Total profit is given by the difference between total revenue and total cost.

Profit = Total Revenue - Total Cost = $150 - $50 = $100

Therefore, A profit of $100 is made by Katherine.

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a) The 90% confidence interval for the population proportion is approximately (0.7777, 0.8423).

b) The 95% confidence interval for the population proportion is approximately (0.7737, 0.8463).

To calculate the confidence intervals for the population proportion, we can use the formula:

Confidence Interval = sample proportion ± margin of error

The margin of error can be calculated using the formula:

Margin of Error = critical value * standard error

where the critical value is determined based on the desired confidence level and the standard error is calculated as:

Standard Error = \(\sqrt{((p * (1 - p)) / n)}\)

Given that the sample proportion (p) is 0.81 and the sample size (n) is 500, we can calculate the confidence intervals.

a. 90% Confidence Interval:

To find the critical value for a 90% confidence interval, we need to determine the z-score associated with the desired confidence level. The z-score can be found using a standard normal distribution table or calculator. For a 90% confidence level, the critical value is approximately 1.645.

Margin of Error = \(1.645 * \sqrt{(0.81 * (1 - 0.81)) / 500)}\)

≈ 0.0323

Confidence Interval = 0.81 ± 0.0323

≈ (0.7777, 0.8423)

Therefore, the 90% confidence interval for the population proportion is approximately (0.7777, 0.8423).

b. 95% Confidence Interval:

For a 95% confidence level, the critical value is approximately 1.96.

Margin of Error = \(1.96 * \sqrt{(0.81 * (1 - 0.81)) / 500)}\)

≈ 0.0363

Confidence Interval = 0.81 ± 0.0363

≈ (0.7737, 0.8463)

Thus, the 95% confidence interval for the population proportion is approximately (0.7737, 0.8463).

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To find ln(x³y) in terms of u and v, we can use the properties of logarithms. ln(x³y) can be rewritten as ln(x³) + ln(y), and using the property ln(a^b) = bˣ ln(a), we have 3ln(x) + ln(y) = 3u + v.

To find ln(x³y) in terms of u and v, we can use the properties of logarithms. ln(x³y) can be rewritten as ln(x³) + ln(y), and using the property ln(a^b) = bˣ ln(a), we have 3ln(x) + ln(y) = 3u + v.

The domain of the function f(x) = ln(x-3) is x > 3, since the natural logarithm is undefined for non-positive values. The x-intercept occurs when f(x) = 0, so ln(x-3) = 0, which implies x - 3 = 1. Solving for x gives x = 4 as the x-intercept.

There are no vertical asymptotes for the function f(x) = ln(x-3) since the natural logarithm is defined for all positive values. However, the graph approaches negative infinity as x approaches 3 from the right, indicating a vertical asymptote at x = 3.

To sketch the graph of f(x) = ln(x-3), we start with the x-intercept at (4, 0). We can plot a few more points by choosing values of x greater than 4 and evaluating f(x) using a calculator.

As x approaches 3 from the right, the graph approaches the vertical asymptote at x = 3. The graph will have a horizontal shape, increasing slowly as x increases. Remember to label the axes and indicate the asymptote on the graph.

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Answer:

12.56km

Step-by-step explanation:

Circumference of circle=2pi r

Set pi=3.14

2xpix2=12.56km

Answer:

2x

Step-by-step explanation:

\(\text{Perimeter}=2\cdot(4\text{x}+3)+2\cdot2\text{x}=\\\\=8\text{x}+6+4\text{x}=8\text{x}+4\text{x}+6=\boxed{12\text{x}+6}\)

Answer:

38.2

Step-by-step explanation:

\(\boxed{+38.2}\\\\\sf 29 - 0\\= 29(0)\\29(0) - 228(76 \times 3)\\= 62(3)\\62(3) - 608(76 \times 8)\\= 15(2)\\15(2) - 152(76 \times 2)\\= 0\)

Answer:

Step-by-step explanation:

Whats the question?

Answer:

x= 11.25, y=5.29

Step-by-step explanation:

Since I can only guess what subject this is off the picture, I've concluded by dividing 90 with the bigger triangle's side will give you your hidden answer. For example, 90/15 = 6 so I'd presume the rest are like that. 90/17 = 5.29, 90/8 = 11.25

Answer:

3.14159265359

Step-by-step explanation:

Hope this helps :)

Answer:

3.14

Step-by-step explanation:

Technically, pi is a an irrational number, meaning that its decimal form neither ends or repeats. But we always shorten it to 3.14.

Given:

1 chocolate chip cookie recipe = 12 cup of chocolate chips per batch.

Alonzo wants to make 3 12 batches.

Lets's find the number of chocolate chips he will need.

Number of batches he wants to make is = 3 x 12 = 36 batches

SInce 1 chocolate chip cookie recipe calls for 12 cup of chocolate chips per batch, we have:

Answer:

Mario lol

Step-by-step explanation:

Answer:

zelda obv

Step-by-step explanation:

zelda is the best

Below is the answer

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