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Lerok [7]
3 years ago
8

The volume of a cube is given by s^3 and the total surface area of a cube is given by 6s^2 , where s is the side length of the c

ube. If the side length of a cube is 5 inches, the volume of the cube is cubic inches and its total surface area is square inches.
Mathematics
1 answer:
saw5 [17]3 years ago
6 0

Answer:volume= 125cu.in

Surface area=150sq.in


Step-by-step explanation:


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Step-by-step explanation:

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Intellectual development (Perry) scores were determined for 21 students in a first-year, project-based design course. (Recall th
Anit [1.1K]

Answer:

The 99% confidence interval is (3.0493, 3.4907).

We are 99% sure that the true mean of the students Perry score is in the above interval.

Step-by-step explanation:

Our sample size is 21.

The first step to solve this problem is finding our degrees of freedom, that is, the sample size subtracted by 1. So

df = 21-1 = 20.

Then, we need to subtract one by the confidence level \alpha and divide by 2. So:

\frac{1-0.99}{2} = \frac{0.01}{2} = 0.005

Now, we need our answers from both steps above to find a value T in the t-distribution table. So, with 20 and 0.005 in the two-sided t-distribution table, we have T = 2.528

Now, we find the standard deviation of the sample. This is the division of the standard deviation by the square root of the sample size. So

s = \frac{0.40}{\sqrt{21}} = 0.0873

Now, we multiply T and s

M = 2.528*0.0873 = 0.2207

Then

The lower end of the interval is the mean subtracted by M. So:

L = 3.27 - 0.2207 = 3.0493

The upper end of the interval is the mean added to M. So:

LCL = 3.27 + 0.2207 = 3.4907

The 99% confidence interval is (3.0493, 3.4907).

Interpretation:

We are 99% sure that the true mean of the students Perry score is in the above interval.

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3 years ago
PLEASE HELP ASAPPP !!! WILL GIVE BRAINLIEST AND 5 STAR RATING
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Answer:

1/3

Step-by-step explanation:

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Step-by-step explanation:

So 8 is being multiplied by something to get to 21

So 8x = 21

Solve for x:

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-Chetan k

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