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2 years ago

5

Mackenzie needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer

for 3.75 hours and charged her $157 for parts. The total was $400.75. Write and solve an equation which can be used to determine x, the cost of the labor per hour.

1 answer:

Ann [662]2 years ago

6 0

Answer:

x=65

Step-by-step explanation:

Based on the given conditions, formulate: 157+3.75 X x=400.75

Rearrange unknown terms and Calculate the sum:

3.75x = 400.75 - 157

3.75x = 243.75

x=243.75 / 3.75

x=65

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3 years ago

student randomly receive 1 of 4 versions(A, B, C, D) of a math test. What is the probability that at least 3 of the 5 student te

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Answer:

1.2%

Step-by-step explanation:

We are given that the students receive different versions of the math namely A, B, C and D.

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Thus, the probability that the student does not receive version A = $1-\frac{1}{4}$ = $\frac{3}{4}$ .

So, the possibilities that at-least 3 out of 5 students receive version A are,

1) 3 receives version A and 2 does not receive version A

2) 4 receives version A and 1 does not receive version A

3) All 5 students receive version A

Then the probability that at-least 3 out of 5 students receive version A is given by,

$\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{3}{4}\times \frac{3}{4}$ + $\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{3}{4}$ + $\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}$

= $(\frac{1}{4})^3\times (\frac{3}{4})^2+(\frac{1}{4})^4\times (\frac{3}{4})+(\frac{1}{4})^5$

= $(\frac{1}{4})^3\times (\frac{3}{4})[\frac{3}{4}+\frac{1}{4}+(\frac{1}{4})^2]$

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To the nearest tenth, the required probability is 1.2%.

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3 years ago

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Answer/Step-by-step explanation:

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Therefore, 1 is a solution of $4.4r - 2.8 = 1.6$ .

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