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Alex787 [66]
3 years ago
9

The volume of a cube is surface area is 54cm2

Mathematics
2 answers:
Ann [662]3 years ago
8 0
54/6 = 9.
Vol= 9 x 3 = 27cm^3.
olga nikolaevna [1]3 years ago
4 0

hope it will helpful for you

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A study is performed in San Antonio to determine whether the average weekly grocery bill per five-person family in the town is s
bogdanovich [222]

Answer:

No, the sample evidence is not statistically significant (P-value = 0.125).

To reject the null hypothesis, the P-value has to be smaller than the significance level, so the significance level to reject the null hypothesis has to be 0.125 or higher.

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that the average weekly grocery bill per five-person family in San Antonio is significantly different from the national average.

Then, the null and alternative hypothesis are:

H_0: \mu=131\\\\H_a:\mu\neq 131

The significance level is 0.05.

The sample has a size n=50.

The sample mean is M=133.474.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=11.193.

The estimated standard error of the mean is computed using the formula:

s_M=\dfrac{s}{\sqrt{n}}=\dfrac{11.193}{\sqrt{50}}=1.583

Then, we can calculate the t-statistic as:

t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{133.474-131}{1.583}=\dfrac{2.474}{1.583}=1.563

The degrees of freedom for this sample size are:

df=n-1=50-1=49

This test is a two-tailed test, with 49 degrees of freedom and t=1.563, so the P-value for this test is calculated as (using a t-table):

P-value=2\cdot P(t>1.563)=0.125

As the P-value (0.125) is bigger than the significance level (0.05), the effect is  not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the average weekly grocery bill per five-person family in San Antonio is significantly different from the national average.

8 0
3 years ago
Elizabeth wants to use a sheet of fiberboard 27 inches long to create a skateboard ramp with a 17^{\circ}
erma4kov [3.2K]

The height of the ramp above the ground from its highest end is 7.9 inches.

<h3>What is height?</h3>

Height is the vertical distance between two points.

To calculate the height of the ramp above the ground, we use the formula below.

Formula:

  • h = Lsin∅............. Equation 1

Where:

  • h = Height of the ramp above the ground
  • L = Length of the fiberboard
  • ∅ = Angle of elevation from the ground

From the question,

Given:

  • L = 27 inches
  • ∅ = 17°

Substitute these values into equation 1

  • h = 27×sin17°
  • h = 7.89
  • h ≈ 7.9 inches

Hence, the height of the ramp above the ground is 7.9 inches.

Learn more about height here: brainly.com/question/23144757

#SPJ1

3 0
11 months ago
How much oil wells in a given field will ultimately produce is key information in deciding whether to drill more wells. Data was
Ugo [173]

Answer:

Check the explanation

Step-by-step explanation:

Kindly check the attached image below to see the step by step explanation to the question above.

3 0
3 years ago
What is equivalent fraction to 2/5
My name is Ann [436]

Answer:

4/10, 6/15, 8/20, and 10/25

Step-by-step explanation:

Hope this helps. :)

4 0
3 years ago
Read 2 more answers
(2 * 10^-2) +(9*10^-3)<br> Please before Wednesday
anzhelika [568]

Answer:

try symnolab it helps a lot with math but the answer is 29/1000 0r 0.029

Step-by-step explanation: Hopes this helps :)

3 0
2 years ago
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