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Sonbull [250]
3 years ago
13

The number 12,089 is?

Mathematics
1 answer:
Ratling [72]3 years ago
8 0
12,089 is less than 12,098
The first choice is the correct one.
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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
3 years ago
PLEASE HELP ASAP
Shtirlitz [24]

Answer:

i think its photosinthisis because...

Step-by-step explanation:

Sometime around 3 billion years ago (about 1.5 billion years after Earth formed!), photosynthesis began. Photosynthesis allowed organisms to use sunlight and inorganic molecules, such as carbon dioxide and water, to create chemical energy that they could use for food.

Hope this helps and maybe a brainlest?

8 0
2 years ago
What is the surface area of the sphere below?
dexar [7]

Answer:

A =4πr2

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
What’s the difference between a 16-ounce brick and a carpenter
NNADVOKAT [17]
One weighs a pound and the other pounds away!

7 0
3 years ago
Help helppp help i need answerr thank Uuuuuuuuu​
Galina-37 [17]

Answer:

see explanation

Step-by-step explanation:

(a)

The angles are vertical and congruent, that is

x - 10 = 125 ( add 10 to both sides )

x = 135

-------------------------------------------------

(b)

Supplementary angles sum to 180°

The angles are in the ratio 2 : 3 = 2x : 3x ( x is a multiplier ), then

2x + 3x = 180

5x = 180 ( divide both sides by 5 )

x = 36

thus

2x = 2 × 36 = 72

3x = 3 × 36 = 108

Then the 2 angles are 72° and 108°

3 0
2 years ago
Read 2 more answers
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