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liraira [26]
3 years ago
9

Combine the cube of k and 27

Mathematics
2 answers:
Reptile [31]3 years ago
5 0

Answer:

27k

Step-by-step explanation:

27 + k

Sergio [31]3 years ago
3 0
27k
explanation:
27 + k
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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
PLEASE HELP I WILL GIVE BRAINLIEST
Leona [35]
Answer to a : 30-19=x but for b i’m not that smart
6 0
2 years ago
Original amount: 27<br> End amount: 38.61<br><br> Increase or decrease
vichka [17]

Answer:

increase

Step-by-step explanation:

11.61 was added to 27

5 0
3 years ago
Can someone please help me??
Svet_ta [14]

Answer:

A= 153.86

A=49\pi

Step-by-step explanation:

You again....

4 0
3 years ago
Read 2 more answers
A parallelogram has an area of x^2 + 9x - 36.
posledela

Answer:

The least value is 1

Step-by-step explanation:

Area of a Parellelogram = Base x Height

6 0
3 years ago
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