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3 years ago

8

The formula for the surface area of a cube is A equal 6 s to the power of 2 comma where s is the side length. Cube X has a side

length of 1, and cube Y has a side length of 2. How much greater is the surface area of cube Y than cube X?

1 answer:

cricket20 [7]3 years ago

3 0

Answer:

Surface area of Cube Y is 3 times greater than the surface area of cube X

Step-by-step explanation:

Surface area of a cube,A = 6s²

Where,

s = side length

Cube X has a side length of 1,

Surface area of cube, X = 6s²

= 6 * 1²

= 6 * 1

= 6

cube Y has a side length of 2

Surface area of cube, Y = 6s²

= 6 * 2²

= 6 * 4

= 24

How much greater is the surface area of cube Y than cube X?

Surface area of Cube Y is 3 times greater than the surface area of cube X

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fiasKO [112]

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now we can calculate the value of
5sin²α+3cos²α / 3sin²α-5cos²α
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3 years ago

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iren [92.7K]

Answer:

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Step-by-step explanation:

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3 years ago

A sample of n = 4 scores is obtained from a population with a mean of 70 and a standard deviation of 8. If the sample mean corre

jeka57 [31]

Answer:

The value of the sample mean is 78.

Step-by-step explanation:

We are given that a sample of n = 4 scores is obtained from a population with a mean of 70 and a standard deviation of 8.

Also, the sample mean corresponds to a z score of 2.00.

<em>Let </em> $\bar X$ <em> = sample mean</em>

The z-score probability distribution for a sample mean is given by;

Z = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\mu$ = population mean = 70

$\sigma$ = standard deviation = 8

n = sample size = 4

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

<u>Now, we are given that the sample mean corresponds to a z score of 2.00 for which we have to find the value of sample mean;</u>

So, <em><u>z-score</u></em> formula is given by ;

z-score = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ = $\frac{\bar X-70}{\frac{8}{\sqrt{4} } }$

2.00 = $\frac{\bar X-70}{\frac{8}{\sqrt{4} } }$

2.00 = $\frac{\bar X-70}{4 } }$

$\bar X = 70+(2 \times 4)$

$\bar X$ = 70 + 8 = 78

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2 years ago

Given the trinomial 5x2 − 2x − 3, predict the type of solutions.

Contact [7]

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3 years ago

Please help and explain questions 20-22

zmey [24]

Hello!

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20.
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C = $2 \pi (6.5)$
C = $13 \pi$
C = 13(3.14)
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A = $\pi (6.5)^{2}$
A = $\pi (42.25)$
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The circumference of the circle is 40.8 in and the area of the circle is 132.7 in².

21.
[Since we are given the diameter for this problem, to find the circumference, we no longer need to multiply the radius by 2 as in $2 \pi r$ because the diameter is the radius × 2. For $\pi r^{2}$ we do need to divide the diameter by 2.]

C = $15.7 \pi$
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A = $\pi (7.85)^{2}$
A = $61.62 \pi$
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And that is all there is to it. I hope this helps you! (:

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