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dmitriy555 [2]
3 years ago
5

students collected 600 cans for the canned food drive.That was 80% of their goal.How many more cans do they need to reach their

goal
Mathematics
1 answer:
algol133 years ago
6 0

Answer:

C = 75.

Step-by-step explanation:

Set up our eq:

600 x

___ = ___

80 100

Cross multiply:

6 x 10 = 60 (add two zero's) = 6000

now, 80 * x. 80x

Now we divide:

6000

_____

80

C = 75

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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
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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:

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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.

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X - 550 = 100*1.28

X = 678

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

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