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yawa3891 [41]
3 years ago
7

What will be the annual salary for a mechanic who works 40 hours per week for 52 a year and make 25.21 per hour

Mathematics
1 answer:
inysia [295]3 years ago
8 0
The hours he works per year
40 * 52
2080 hours

Make money per hour = 25.21
Make money for 2080 hours = 25.21*2080
                                              = 52436.2

So the annual salary 
52436.2
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Which graph shows a graph of a circle with equation x 2 + (y+3) 2 =9
Nat2105 [25]
<h2>Answer:</h2>

The graph of the circle is given in the image attached

6 0
2 years ago
Cos(A) = ?<br> 13/5<br> 12/5<br> 12/13<br> 5/13
ollegr [7]

Answer:

cosA = \frac{5}{13}

Step-by-step explanation:

cosA = \frac{adjacent}{hypotenuse} = \frac{AC}{AB} = \frac{5}{13}

6 0
3 years ago
Solve x/5 - 1=7? help please !!
xxTIMURxx [149]
First, add 1 on both sides of the equation to begin to isolate x

x/5 = 8

Now, to isolate x, multiply both sides of the equation by 5/1

\frac{x}{5} · \frac{5}{1} = \frac{5x}{5} = x

x= 7 · 5/1 = 7 · 5 = 35

x = 35
6 0
3 years ago
Which is the graph of f(x)=2(3)^x
likoan [24]

Let's plug the values and see which couple satisfy the equation: since y = 2\cdot 3^x, if we plug the values from the first option (x,y)=(1,6) we have


6 = 2\cdot 3^1 = 2\cdot 3


which is correct.


If we plug the values from the second option (x,y)=(1,9) we have


9 = 2\cdot 3^1 = 2\cdot 3


which is not correct


If we plug the values from the third option (x,y)=(2,9) we have


9 = 2\cdot 3^2= 2\cdot 9


which is not correct


If we plug the values from the fourth option (x,y)=(2,12) we have


12 = 2\cdot 3^2= 2\cdot 9


which is not correct


So, the answer is the first one.

3 0
3 years ago
A leading magazine (like Barron's) reported at one time that the average number of weeks an individual is unemployed is 33.9 wee
MArishka [77]

Answer:

P(35.3 < M < 35.4) = 0.0040.

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 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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 33.9, \sigma = 6.7, n = 119, s = \frac{6.7}{\sqrt{119}} = 0.6142

Find the probability that a single randomly selected value is between 35.3 and 35.4

This is the pvalue of Z when X = 35.4 subtracted by the pvalue of Z when X = 35.3. So

X = 35.4

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

By the Central Limit Theorem

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

Z = \frac{35.4 - 33.9}{0.6142}

Z = 2.44

Z = 2.44 has a pvalue of 0.9927

X = 35.3

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

Z = \frac{35.3 - 33.9}{0.6142}

Z = 2.28

Z = 2.28 has a pvalue of 0.9887

0.9927 - 0.9887 = 0.0040

So the answer is:

P(35.3 < M < 35.4) = 0.0040.

4 0
3 years ago
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