1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Radda [10]
3 years ago
8

How many hours would someone earns 7.50 per hour have to work to earn $116.25

Mathematics
1 answer:
SCORPION-xisa [38]3 years ago
5 0

Let h = amount of hours

7.5h=116.25

Since they earn $7.50 per hour, we can multiply that by an unknown amount of hours to get $116.25. Let's solve:

7.5h=116.25

Divide both sides by 7.5 to isolate the h, amount of hours.

\frac{7.5h}{7.5}=\frac{116.25}{7.5}

Simplify.

h=15.5

In conclusion, someone would have to work 15.5 hours to earn $116.25 if they earn $7.50 per hour.

You might be interested in
Suppose the test scores for a college entrance exam are normally distributed with a mean of 450 and a s. d. of 100. a. What is t
svet-max [94.6K]

Answer:

a) 68.26% probability that a student scores between 350 and 550

b) A score of 638(or higher).

c) The 60th percentile of test scores is 475.3.

d) The middle 30% of the test scores is between 411.5 and 488.5.

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 = 450, \sigma = 100

a. What is the probability that a student scores between 350 and 550?

This is the pvalue of Z when X = 550 subtracted by the pvalue of Z when X = 350. So

X = 550

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

Z = \frac{550 - 450}{100}

Z = 1

Z = 1 has a pvalue of 0.8413

X = 350

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

Z = \frac{350 - 450}{100}

Z = -1

Z = -1 has a pvalue of 0.1587

0.8413 - 0.1587 = 0.6826

68.26% probability that a student scores between 350 and 550

b. If the upper 3% scholarship, what score must a student receive to get a scholarship?

100 - 3 = 97th percentile, which is X when Z has a pvalue of 0.97. So it is X when Z = 1.88

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

1.88 = \frac{X - 450}{100}

X - 450 = 1.88*100

X = 638

A score of 638(or higher).

c. Find the 60th percentile of the test scores.

X when Z has a pvalue of 0.60. So it is X when Z = 0.253

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

0.253 = \frac{X - 450}{100}

X - 450 = 0.253*100

X = 475.3

The 60th percentile of test scores is 475.3.

d. Find the middle 30% of the test scores.

50 - (30/2) = 35th percentile

50 + (30/2) = 65th percentile.

35th percentile:

X when Z has a pvalue of 0.35. So X when Z = -0.385.

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

-0.385 = \frac{X - 450}{100}

X - 450 = -0.385*100

X = 411.5

65th percentile:

X when Z has a pvalue of 0.35. So X when Z = 0.385.

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

0.385 = \frac{X - 450}{100}

X - 450 = 0.385*100

X = 488.5

The middle 30% of the test scores is between 411.5 and 488.5.

7 0
3 years ago
Annie received a 10% raise last year. If her salary now is $60,000, what was her salary last year?
sergeinik [125]
$6,000 was her salary last year:))
4 0
3 years ago
Alonzo and miguel scored a total of 40 points in the basketball game.miguel scored four more points than twice alonzo's score .H
elena-14-01-66 [18.8K]
I can tell you that you have to multiply Alonzo score by 16
<span />
8 0
3 years ago
Using the slope and the y-intercept, graph the line represented by the following equation. Then select the correct graph. x - y
Marizza181 [45]

The graph that represents the given line with slope and y-intercept is as attached below.

<h3>How to interpret Linear Graphs?</h3>

We are given the equation;

x - y - 3 = 0

Now, the standard way we should put the equation would be in slope intercept form which is; y = mx + c

where;

m is slope

c is y-intercept

Thus, our equation can be rearranged to get;

y = x - 3

Thus, y-intercept is c = -3

The graph that represents the given line is as attached below.

Read more about Linear Graphs at; brainly.com/question/14323743

#SPJ1

3 0
2 years ago
Need help with 7-10 please and thank you!!
Archy [21]

Answer:

#7: MK, LS and PR

#8: PN and PQ

#9: no

#10: no

Step-by-step explanation:

#7: lines MK, LS and PR are not intersecting each other, so these lines are parallel each other

#8: between lines PN and PQ is an right angle, so the lines PN and PQ are perpendicular

#9: lines PN and KM have an intesecting point, so they're not parallel

#10: there is no right angle between lines PR and NP

3 0
2 years ago
Other questions:
  • I suck at this, does anyone know?
    15·1 answer
  • Please can people help??!!<br> Photo below
    7·2 answers
  • At age 25, you decide to start your retirement account, and put $700 at the end of each quarter into an account paying 7.25% com
    7·1 answer
  • 5 times the difference of a number and 20 is the same as half the sum of 4 more than four times a number
    10·1 answer
  • Describe the piecewise function below by evaluating the function for given values of the domain
    7·1 answer
  • Solve for x. 7(x + 1) = 21
    8·2 answers
  • Jose has 120-inch roll of wrapping paper.he needs an 18-inch piece to wrap each present. Does Jose have enough to wrap 7presents
    12·1 answer
  • 2.
    7·1 answer
  • I giveeeeeeeeeeee brainlilstttttttttttttttt
    5·1 answer
  • I need to finish this question very quickly and I’m confused, any help is greatly appreciated
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!