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Harrizon [31]
3 years ago
10

Length of rectangle is 6 ft the area of the canvas is 24 square feet what is the width of the rectangle

Mathematics
1 answer:
anyanavicka [17]3 years ago
5 0
4 feet is the width. 6x4=24
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Consider the following hypothesis test:
Gnom [1K]

Answer:

a. z=3.09. Yes, it can be concluded that the population mean is greater than 50.

b. z=1.24. No, it can not be concluded that the population mean is greater than 50.

c. z=2.22. Yes, it can be concluded that the population mean is greater than 50.

Step-by-step explanation:

We have a hypothesis test for the mean, with the hypothesis:

H_0: \mu\leq50\\\\H_a:\mu> 50

The sample size is n=55 and the population standard deviation is 6.

The significance level is 0.05.

We can calculate the standard error as:

\sigma_M=\dfrac{\sigma}{\sqrt{n}}=\dfrac{6}{\sqrt{55}}=0.809

For a significance level of 0.05, the critical value for z is zc=1.644. If the test statistic is bigger than 1.644, the null hypothesis is rejected.

a. If the sample mean is M=52.5, the test statistic is:

z=\dfrac{M-\mu}{\sigma_M}=\dfrac{52.5-50}{0.809}=\dfrac{2.5}{0.809}=3.09

The null hypothesis is rejected, as z>zc and falls in the rejection region.

b. If the sample mean is M=51, the test statistic is:

z=\dfrac{M-\mu}{\sigma_M}=\dfrac{51-50}{0.809}=\dfrac{1}{0.809}=1.24

The null hypothesis failed to be rejected, as z<zc and falls in the acceptance region.

c. If the sample mean is M=51.8, the test statistic is:

z=\dfrac{M-\mu}{\sigma_M}=\dfrac{51.8-50}{0.809}=\dfrac{1.8}{0.809}=2.22

The null hypothesis is rejected, as z>zc and falls in the rejection region.

8 0
3 years ago
Please help me graph #9.
Nata [24]
Hint to start out the problem:

eg. For f(4), use the first expression, (x-3)^2 because 4 is greater than 1.
4 0
3 years ago
Read 2 more answers
The square root of an integer n is between 9 and 10. What are all the possible values for n. Explain
sashaice [31]
The square root of 9 is \sqrt{81}
The square root of 10 is \sqrt{100}
If \sqrt{n} = 9 to 10
then \sqrt{n} = \sqrt{81} to \sqrt{100}
8 0
3 years ago
Solve -9.4 ≥ 1.7 x + 4​
Firlakuza [10]

Answer:

if we are solving for x then it would be

x  ≤  − 7.88235294

:)

5 0
2 years ago
ella is making 3 batches of banana milkshake she needs 3/4 gallon of milk for each bath.Her measuring cup holds 1/4 gallon.How m
Dmitry [639]
1 batch need 3/4 gallon of milk

She has 1/4 gallon cup

(3/4) divided by (1/4)

A technique in math is just flip the divider which is (1/4) to (4/1)
so it becomes (3/4) multiply (4/1) = (3x4) / (4x1) = 12/4 = 3 times for one batch

She needs three batches so 3 x 3 = 9 times to fill the measuring cup to make all 3 batches of milkshake.
3 0
3 years ago
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