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3 years ago

Jonathan worked at McDonalds 20 hours per week and earned $195. Use the equation 20h=195 to find Jonathan's hourly wage.

Mathematics

2 answers:

77julia77 [94]3 years ago

3 0

9.75

Just divide 195 by 20. You’d get 9.75 as an answer.

77julia77 [94]3 years ago

3 0

Answer:

All you will need to do is divide 195/20 and you will get your answer. $9.75 cents

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AARP reported on a study conducted to learn how long it takes individuals to prepare their federal income tax return (AARP Bulle

Crank

Answer:

Confidence interval: (30.1,36.9)

Step-by-step explanation:

We are given the following data set:

35.3,30.5,37.4,26.5,13.0,49.9,28.8,44.0,61.6,0.5,40.5,34.9,47.9,36.6,24.1,39.8,47.8,18.5,36.6,39.2,14.5,37.3,40.5,49.3,45.5,28.3,19.5,5.6,52.6,41.4,45.3,39.0,33.7,29.4,14.5,40.1,33.7,36.9,5.6,33.7

Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{1339.9}{40} = 33.5$

$S.D = 11$ (given)

n = 40

Confidence interval:

$\mu \pm z_{critical}\frac{\sigma}{\sqrt{n}}$

Putting the values, we get,

$z_{critical}\text{ at}~\alpha_{0.05} = 1.96$

$33.5 \pm 1.96(\frac{11}{\sqrt{40}} ) = 6.34 \pm 3.4 = (30.1,36.9)$

6 0

3 years ago

One zero of the polynomial function f(x) = x3 − 9x2 + 20x is x = 0. What are the zeros of the polynomial function? 0, −5, −4 0,

jeyben [28]

Answer:

Step-by-step explanation:

As x = 0 is a zero, (x + 0) is a factor.

Dividing the equation by (x + 0) leaves x² - 9x + 20.

Factoring this polynomial

x² - 9x + 20 = (x - 4)(x - 5)

x - 4 = 0

x = 4

x - 5 = 0

x = 5

The zeros are at 0, 4, and 5.

Which can be verified by using a plotting calculator.

3 0

2 years ago

Read 2 more answers

Solve this and get 12 points

Pachacha [2.7K]

Answer:

Step-by-step explanation:

First, find x. Since x is the average of the three number, add the three up and then divided by three. Thus:

$x=\frac{13+-16+6}{3}=3/3=1$

y is the cube root of 8. Thus:

$y=\sqrt[3]{8}=2$

So:

$x^2+y^3\\=(1)^2+(2)^3\\=1+8=9$

5 0

3 years ago

Read 2 more answers

The test scores of a geometry class are given below. 90, 75, 72, 88, 85 The teacher wants to find the variance for the class pop

ella [17]

The data given as a whole would be called ungrouped data. Now to get the variance, you will need the formula:

s^2= Σ(x-mean)^2
n

x = raw data
mean = average of all data
n = no. of observations
s^2 = variance

Now we do not have the mean yet, so you have to solve for it. All you need to do is add up all the data and divide it by the number of observations.

Data: 90, 75, 72, 88, 85 n= 5
Mean=Σx
n
Mean = 90+75+72+88+85 = 410 = 82
5 5

The mean is 82. Now we can make a table using this.

The firs column will be your raw data or x, the second column will be your mean and the third will be the difference between the raw data and the mean and the fourth column will be the difference raised to two.

90-82 = 8
8^2 =64

75-82 = -7
-7^2 =49

72-82 = -10
-10^2=100

88-82=6
6^2 = 12

85-82=3
3^2=9

Now you have your results, you can now tabulate the data:

x mean x-mean (x-mean)^2
90 82 8 64
75 82 -7 49
72 82 -10 100
88 82 6 36
85 82 3 9

Now that you have a table, you will need the sum of (x-mean)^2 because the sigma sign Σ in statistics, means "the sum of."

64+49+100+36+9 = 258

This will be the answer to your question. The value of the numerator of the calculation will be 258.

6 0

4 years ago

A total of 937 people attended the play.

insens350 [35]

Answer:

1.75

2.25

1083.00

now we still know, that

508

−

so we can substitute it into the second formula

1.75

2.25

(

508

−

)

1083

now its just simple algebra

1.75

1143

−

2.25

1083

0.5

so:

120

Step-by-step explanation:

6 0

3 years ago