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S_A_V [24]
3 years ago
6

Jordan has been offered two summer jobs. One job is at the mall and pays $7 per hour. the other job is with your neighbor, who w

ill pay $50 per week plus $5 per hour. How many hours per week would Jordan have to work for both jobs to pay the same amount?
Mathematics
2 answers:
Masja [62]3 years ago
8 0
7x=5x+50
2x=50
x=25

Jordan would have to work 25 hours per week in order for both jobs to pay the same amount.
m_a_m_a [10]3 years ago
5 0

Answer:

25 hours

Step-by-step explanation:

Suppose he works x hours in a week,

In the first job,

charges per hour = $ 7,

So, the total charges for x hours = 7x dollars,

In the second job,

Charges per hour = $ 5,

Also, charges for a week = $ 50

Thus, the total charges for x hours = 50 + 5x

If 7x = 50 + 5x

2x = 50

⇒ x = 25

Hence, he have to work 25 hours for which both jobs pay the same amount.

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Answer:

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9. Gold miners in Alaska have found, on average, 12 ounces of gold per 1000 tons of dirt excavated with a standard deviation of
netineya [11]

Answer:

9.18% probability the miners find more than 16 ounces of gold in the next 1000 tons of dirt excavated

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 = 12, \sigma = 3

What is the probability the miners find more than 16 ounces of gold in the next 1000 tons of dirt excavated?

This is 1 subtracted by the pvalue of Z when X = 16. So

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

Z = \frac{16 - 12}{3}

Z = 1.33

Z = 1.33 has a pvalue of 0.9082

1 - 0.9082 = 0.0918

9.18% probability the miners find more than 16 ounces of gold in the next 1000 tons of dirt excavated

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3 years ago
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