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Harrizon [31]
3 years ago
14

Liam needed to get his computer fixed. He took it to the repair store. The technician at the store worked on the computer for 5.

25 hours and charged him $111 for parts. The total was $767.25. What was the cost of labor, per hour?
Mathematics
1 answer:
Luden [163]3 years ago
7 0

Answer:

$767.25 - $111 = $656.25

$656.25 ÷ 5.25 = $125

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If A = 50 degrees, B = 62 degrees, and a = 4, find b.<br><br> Round to the nearest tenth.​
Phoenix [80]
<h3>Answer:  4.6</h3>

=================================================

Work Shown:

Use the law of sines

b/sin(B) = a/sin(A)

b/sin(62) = 4/sin(50)

b = sin(62)*4/sin(50)

b = 4.61042489526572

b = 4.6

Make sure your calculator is in degree mode.

8 0
3 years ago
23, 34, 27, 7, 30, 26, 28, 31, 34 What number is an outlier for the given data? A) 7 B) 23 C) 31 D) 34
marin [14]
An outlier for a data set is a number which stands out, meaning it is not close to the rest of the numbers. It can either be greater OR less than the rest of the numbers. 

<span>23, 34, 27, 7, 30, 26, 28, 31, 34

Which number stands out from this data set?

Yep! 7. This is because it is not close to the other numbers, whereas the other numbers are closer to each other.

A) 7.</span>
7 0
3 years ago
Read 2 more answers
A manufacturer knows that their items have a normally distributed length, with a mean of 15.4 inches, and standard deviation of
Masteriza [31]

Answer:

0.9452 = 94.52% probability that their mean length is less than 16.8 inches.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 15.4 inches, and standard deviation of 3.5 inches.

This means that \mu = 15.4, \sigma = 3.5

16 items are chosen at random

This means that n = 16, s = \frac{3.5}{\sqrt{16}} = 0.875

What is the probability that their mean length is less than 16.8 inches?

This is the p-value of Z when X = 16.8. So

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

By the Central Limit Theorem

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

Z = \frac{16.8 - 15.4}{0.875}

Z = 1.6

Z = 1.6 has a p-value of 0.9452.

0.9452 = 94.52% probability that their mean length is less than 16.8 inches.

5 0
3 years ago
Rainfall in miami was measured during the month of june and is displayed in the following dot plot
Oksi-84 [34.3K]

Answer:

part A: Mean:6.42 Median:7

Part b: median

Part c: no it’s skewed left and unimodal

Step-by-step explanation:

3 0
3 years ago
2. Two angles have a common vertex but no common side. How can you tell whether the angles are vertical angles?
Maksim231197 [3]

Explanation:

The angles are <em>vertical angles</em> if the opposites of the rays forming one of the angles are the rays forming the other angle.

More formally, if V is the common vertex, and ...

  • R is a point on one of the rays forming Angle 1
  • S is a point on the ray that is the opposite of ray VR
  • T is a point on the other ray forming Angle 1
  • U is a point on the ray that is the opposite of ray VT

Then angle RVT and angle SVU are vertical angles.

___

Another way to say this is that points R, V, S are collinear, as are points T, V, U, and the two angles of interest are RVT and SVU.

If the above conditions cannot be met, then the angles are not vertical angles.

7 0
3 years ago
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