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vladimir2022 [97]
3 years ago
12

Charlotte needs to collect at least 5,000 signatures for her petition. She has already collected 3,187 signatures. Write and sol

ve an equation to determine how many more signatures Charlotte needs.​
Mathematics
1 answer:
Feliz [49]3 years ago
5 0

Okay!

The most important part of this problem is knowing which inequality sign to use

Greater than >

Less Than  <

Equal to .. =

Greater or equal to ≥

Less than or equal to  ≤

Charlotte needs AT LEAST 5,000 votes, meaning she has to have 5,000 votes <u>or more </u>

That means we use this sign →  ≤

Now lets set up an equation to find how many more we need

5,000  ≤  3,187 + X

solve for X

1,813 ≤ X

Hope I helped :) Sorry for the long explanation

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A group of high school athletes has an average GPA of 2.7 with a standard deviation of 0.9. a)Find the percentage of athletes wh
mart [117]

Answer:

a) The percentage of athletes whose GPA more than 1.665 is 87.49%.

b) John's GPA is 3.645.

Step-by-step explanation:

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 = 2.7, \sigma = 0.9

a)Find the percentage of athletes whose GPA more than 1.665.

This is 1 subtracted by the pvalue of Z when X = 1.665. So

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

Z = \frac{1.665 - 2.7}{0.9}

Z = -1.15

Z = -1.15 has a pvalue of 0.1251

1 - 0.1251 = 0.8749

The percentage of athletes whose GPA more than 1.665 is 87.49%.

b) John's GPA is more than 85.31 percent of the athletes in the study. Compute his GPA.

His GPA is X when Z has a pvalue of 0.8531. So it is X when Z = 1.05.

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

1.05 = \frac{X - 2.7}{0.9}

X - 2.7 = 1.05*0.9

X = 3.645

John's GPA is 3.645.

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Answer:

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Step-by-step explanation:

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