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3 years ago

10

Brainliest for correct answer

1 answer:

Kobotan [32]3 years ago

7 0

Answer:

m=14

n=32

p=64

Step-by-step explanation:

B=M, so 154=11m

m=154/11

m=14

E=P, so 118=n+86

n=118-86

n=32

A=L, so 116=180-p

p=180-116

p=64

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Scores on a college entrance exam are normally distributed with a mean of 550 and a standard deviation of 100. Find the value th

Alinara [238K]

Answer:

The value that represents the 90th percentile of scores is 678.

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:

$\mu = 550, \sigma = 100$

Find the value that represents the 90th percentile of scores.

This is the value of X when Z has a pvalue of 0.9. So X when Z = 1.28.

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

$1.28 = \frac{X - 550}{100}$

$X - 550 = 100*1.28$

$X = 678$

The value that represents the 90th percentile of scores is 678.

4 0

3 years ago

SO CONFUSED PLEASE SOMEONE EXPLAIN! DUE SOON AND NEED HELP!!!!!!!! QUESTION IN PICTURE BELOW

jeka57 [31]

Answer:

=> Apply law of cosine

$c^2=a^2+b^2-2abcos\left(C\right)$

=> input value

$z^2=6.5^2 + 9.4^2-\left(6.5\right)\left(9.4\right)\left(cos\left(131\right)\right)$

=> simplify

$z=\sqrt{\left(6.5^2+\:9.4^2\right)-\left(6.5\right)\left(9.4\right)\left(-0.65605902899\right)}$

=> calulcation

$z=\sqrt{-61.1\cos \left(131^{\circ \:}\right)+130.61},\:z=-\sqrt{-61.1\cos \left(131^{\circ \:}\right)+130.61}$

=> apply rule: Distance must be greater than 0

which is about 14.51828

4 0

2 years ago

John received $0.76 change from a purchase in the drugstore. if he received eight coins, and five of the coins are the same deno

Aliun [14]

<span>5 nickels , 2 quarters, and 1 pennies = 8 coins.</span>

<span> he received 2 quarters</span>

5 0

3 years ago

You purchased a new car for 17,999 in the year 2015. It is now 2020 and you want to sell your car for a fair price. If your car

salantis [7]

Answer:

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Step-by-step explanation:

We can use the following formula to solve:

$A=P(1-r)^t$

<em>P = principal value</em>

<em>r = rate (decimal)</em>

<em>t = time (years)</em>

<em />

First, change 15% into a decimal:

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8 0

3 years ago

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ratelena [41]

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3 0

3 years ago