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nikitadnepr [17]
4 years ago
10

Hallie used a birthday check her mother gave her to start a savings account. She plans to save $25 per month as well. After 9 mo

nths, hallow has $300. Write and solve a linear equation to find the original check amount from hallies mother.
Mathematics
1 answer:
Julli [10]4 years ago
6 0

Answer:

[x + (9 - 1) 25] = 300

$100

Step-by-step explanation:

Hallie's mother gave her a birthday check of $x to start a savings account.

She also plans to save $25 per month as well.

So, after 9 months Hallie has in her account $[x + (9 - 1) 25]

Therefore, from the given condition we can write that  

[x + (9 - 1) 25] = 300 ......... (1) (Answer)

⇒ x + 200 = 300

⇒ x = $100

So, the original check amount from Hallie's mother was $100. (Answer)

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Answer:

0.0668 = 6.68% probability that the worker earns more than $8.00

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When the distribution is normal, we use 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.

The average hourly wage of workers at a fast food restaurant is $7.25/hr with a standard deviation of $0.50.

This means that \mu = 7.25, \sigma = 0.5

If a worker at this fast food restaurant is selected at random, what is the probability that the worker earns more than $8.00?

This is 1 subtracted by the pvalue of Z when X = 8. So

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

Z = \frac{8 - 7.25}{0.5}

Z = 1.5

Z = 1.5 has a pvalue of 0.9332

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Answer:

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<u>Analytic geometry</u>

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