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DerKrebs [107]
3 years ago
14

ACT scores are normally distributed and from 2015 to 2017, the mean was 20.9 with a standard deviation of 5.6.

Mathematics
1 answer:
KatRina [158]3 years ago
3 0

Answer:

You need a z-score of at least 1.09 to get accepted.

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 question, we have that:

\mu = 20.9, \sigma = 5.6

To get accepted into OSU, you need at least a 27. What is the z-score you need to get accepted?

We need to find Z when X = 27. So

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

Z = \frac{27 - 20.9}{5.6}

Z = 1.09

You need a z-score of at least 1.09 to get accepted.

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(18x)-3

Step-by-step explanation:

8 0
3 years ago
In triangle MNP, m = 5 cm, n = 4 cm, and p = 8 cm. Which formula can you use to find P?
charle [14.2K]
Answer:
8² = 4² + 5² - 2(4)(5) cos(P)
which is the third option

Explanation:
The general rule of cosine is:
a² = b² + c² - 2bc*cos(A)

In our triangle:
a is substituted by p = 8 cm
b is substituted by n = 4 cm
c is substituted by m = 5 cm
A is substituted by P which we want to find

Replace the variables in the general equation with the givens as follows:
p² = n² + m² - 2mn*cos(P)
8² = 4² + 5² - 2(4)(5) cos(P)

Hope this helps :)
4 0
3 years ago
Read 2 more answers
What are the complementary and supplementary angles of 120?
IgorC [24]
Complementary angles mean the angles add up to 80 and Supplementary angles mean the angles add up to 180. So 120 doesn't have those kinds of angle pairs. The only combo i can think of is 40,40,40.
6 0
3 years ago
Find the length of diagonal AV in a three dimensional figure.​
coldgirl [10]

Although I'm going to answer this question, I have to point out that this problem is NOT stated clearly. The problem being we don't know if angle AMV is a right angle.

But I'm assuming it is and thus we need to use the Pythagorean theorem.

AV=\sqrt{5^2+12^2}

AV=13

Therefore answer is C. :D

8 0
3 years ago
Clara buys 11 pounds of organic blueberries. Each pound costs​ $5. If she gives the cashier three​ $20 bills, how much change sh
Eddi Din [679]

She should get $5 back

20x3=60

11x5=55

60-55= 5

3 0
3 years ago
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