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motikmotik
3 years ago
11

The base of a square prism has an area of 16 in. The

Mathematics
2 answers:
Inessa05 [86]3 years ago
7 0

Surface Area of square prism = 896 inches^2

Step-by-step explanation:

Base  of a square prism has an area = 16 in

Height of prism = 6 in

Surface Area of square prism = ?

The formula used to calculate the Surface Area of square prism is:

Surface\,\,Area=2a^2+4ah

where a is base area and h is height.

Putting Values to find Surface area:

Surface\,\,Area=2a^2+4ah\\Surface\,\,Area=2(16)^2+4(16)(6)\\Surface\,\,Area=2(256)+4(96)\\Surface\,\,Area=512+384\\Surface\,\,Area=896

So, Surface Area of square prism = 896 inches^2

Keywords: Surface Area of square prism

Learn more about Surface Area of square prism at:

  • brainly.com/question/12613605
  • brainly.com/question/6443737
  • brainly.com/question/12041380

#learnwithBrainly

MAVERICK [17]3 years ago
5 0

Answer:

i think it's c

Step-by-step explanation:

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70 degrees

Step-by-step explanation:

Find the diagram attached

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Step-by-step explanation:

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PLEASE ANSWER QUICKLY ITS TIMED!!! Which is the correct calculation for the volume of the prism
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Step-by-step explanation:

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3 years ago
A college requires applicants to have an ACT score in the top 12% of all test scores. The ACT scores are normally distributed, w
DochEvi [55]

Answer:

a) The lowest test score that a student could get and still meet the colleges requirement is 27.0225.

b) 156 would be expected to have a test score that would meet the colleges requirement

c) The lowest score that would meet the colleges requirement would be decreased to 26.388.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value 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. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 21.5, \sigma = 4.7

a. Find the lowest test score that a student could get and still meet the colleges requirement.

This is the value of X when Z has a pvalue of 1 - 0.12 = 0.88. So it is X when Z = 1.175.

Z = \frac{X - \mu}{\sigma}

1.175 = \frac{X - 21.5}{4.7}

X - 21.5 = 1.175*4.7

X = 27.0225

The lowest test score that a student could get and still meet the colleges requirement is 27.0225.

b. If 1300 students are randomly selected, how many would be expected to have a test score that would meet the colleges requirement?

Top 12%, so 12% of them.

0.12*1300 = 156

156 would be expected to have a test score that would meet the colleges requirement

c. How does the answer to part (a) change if the college decided to accept the top 15% of all test scores?

It would decrease to the value of X when Z has a pvalue of 1-0.15 = 0.85. So X when Z = 1.04.

Z = \frac{X - \mu}{\sigma}

1.04 = \frac{X - 21.5}{4.7}

X - 21.5 = 1.04*4.7

X = 26.388

The lowest score that would meet the colleges requirement would be decreased to 26.388.

6 0
4 years ago
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