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zheka24 [161]
2 years ago
10

The table shows the relationship “Construction workers make 13 dollars per hour.” A 2-column table with 5 rows. Column 2 is labe

led Hours with entries 1, 2, 3, 4, 5. Column 2 is labeled Dollars with entries 13, 26, 39, 52, 65. Which statements are correct? Select all that apply. The amount of dollars earned causes a change in the number of hours worked. The number of hours worked causes a change in the amount of dollars earned. d is the independent variable. d is the dependent variable. h is the independent variable. h is the dependent variable.
Mathematics
1 answer:
dsp732 years ago
8 0

Answer:

Correct statement are:

  • The number of hours worked causes a change in the amount of dollars earned.
  • <em>d</em> is the dependent variable.
  • <em>h</em> is the independent variable.

Step-by-step explanation:

In simple linear regression analysis, the relationship between an independent and dependent variable are explained.

The independent variable are the variables that can be controlled by the experimenter. Whereas the dependent variable is the variables that is being observed for any changes when the independent variable is changed.

The general form of a simple linear regression equation is:

y=\alpha +\beta x

Now, here the data provided represents the relationship:

“Construction workers make 13 dollars per hour.”

Let, <em>d</em> = dollars earned and <em>h</em> = hours worked.

The data for the number of hours worked and the amount paid is provided.

From the statement itself it can be concluded that the amount paid to the workers are based on the number of hours they work.

So, the dependent variable is the amount paid and the independent variable is the number of hours.

Thus, the correct statement are:

  • The number of hours worked causes a change in the amount of dollars earned.
  • <em>d</em> is the dependent variable.
  • <em>h</em> is the independent variable.
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The number 2A5A0A2 is divisible by 99. What is the digit A
ludmilkaskok [199]

Answer:

A = 3

2A5A0A2 = 2353032

Step-by-step explanation:

Given:

2A5A0A2 is divisible by 9

2A5A0A2 can be divisible by 99 if the sum of the digits can be divided by 9

Digits A is between 0 to 9

2 + A + 5 + A + 0 + A + 2 = 9x

Where,

x = multiples of 9

9 + 3A = 9x

Make A the subject

A = (9x - 9) / 3

When x = 0

A = {9(0) - 9} / 3

= (0 - 9) /3

= -9/3

= -3

When x = 1

A = (9x - 9) / 3

= 9(1) - 9 /3

= 9-9/3

=0/3

A = 0

When x = 2

A = (9x - 9) / 3

= 9(2) -9 / 3

= 18-9/3

= 9/3

A = 3

When x = 3

A = (9x - 9) / 3

= 9(3) - 9 / 3

=27 - 9 /3

= 18/3

A = 6

When x = 4

A = (9x - 9) / 3

= 9(4) -9 /3

= 36-9/3

= 27/3

= 9

Recall, Digits A is between 0 to 9

Substituting A = 0

2050002 ÷ 99

= 20707.09

Substituting A = 3

2A5A0A2

2353032 ÷ 99

= 23,768

Substituting A = 6

2A5A0A2

2656062 ÷ 99

= 26,838.91

Substituting A = 9

2A5A0A2

2959092 ÷ 99

= 29,889.82

Therefore, the only A digit that will not give a decimal number when divided by 9 is 3

A = 3

4 0
2 years ago
Ryan conducted a 6-day study observing the effects of an organic plant food on the growth of his sprouting bean plant. He tracke
LekaFEV [45]

Answer:

The relationship is a function because only one amount of plant food remains each day

Step-by-step explanation:

The relationship is a function because only one amount of plant food remains each day

y (remaining at finish of the day) = - 12 x + 72

x = 1     y = 60

x = 2     y = 48

x = 3     y = 36

x = 4     y = 24

x = 5     y = 12

x = 6     y = 0

8 0
2 years ago
Three potential employees took an aptitude test. Each person took a different version of the test. The scores are reported below
Kay [80]

Answer:

Due to the higher z-score, Cade should be offered the job.

Step-by-step explanation:

Z-score:

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.

If the company has only one position to fill and prefers to fill it with the applicant who performed best on the aptitude test, which of the applicants should be offered the job?

Whoever had the higher z-score.

Reyna:

Reyna got a score of 75.3; this version has a mean of 69.3 and a standard deviation of 12.

This means that X = 75.3, \mu = 69.3, \sigma = 12

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

Z = \frac{75.3 - 69.3}{12}

Z = 0.5

Kaitlyn:

Kaitlyn got a score of 228.4; this version has a mean of 206 and a standard deviation of 28.

This means that X = 228.4, \mu = 206, \sigma = 28

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

Z = \frac{228.4 - 206}{28}

Z = 0.8

Cade:

Cade got a score of 7.88; this version has a mean of 7.2 and a standard deviation of 0.4. This means that X = 7.88, \mu = 7.2, \sigma = 0.4

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

Z = \frac{7.88 - 7.2}{0.4}

Z = 1.7

Due to the higher z-score, Cade should be offered the job.

7 0
2 years ago
In Applied Life Data Analysis (Wiley, 1982), Wayne Nelson presents the breakdown time of an insulating fluid between electrodes
solong [7]

Our data are:

0.19

0.78

0.96

1.31

2.78

3.16

4.15

4.67

4.85

6.50

7.35

8.01

8.27

12.06

31.75

32.52

33.91

36.71

72.89

From this data we have n=19

Mean is (\bar{x}) equal to:

\bar{x} = \frac{\sum x_i}{n}

We summarize all the values and divide them by the total number of samples.

\bar{x}=\frac{272.82}{19}

\bar{x} = 14.3589

In another hand we have that Standard Variation is equal to

s=\sqrt{\frac{\sum(x_i-\bar{x})^2}{n-1}}

For this case we take the value of each of our samples, we subtract the average and we square it to that value. We do this with each of the data and in the end we divide them by the total population of the sample (n) minus 1.

s= \frac{(0.19-14.3589)^2.... (72.89-14.35)^2}{19-1}

s=18.880

8 0
2 years ago
Find the circumference of a circle that has an area of 452.16 square meters. (Use 3.1416 as the value of π.) A. 37.6992 meters B
Leto [7]

Answer:

Option C

Step-by-step explanation:

Given that area of a circle = 452.16 sq metres

Hence radius = \sqrt{\frac{452.16}{3.1416} } =11.9969 m

After rounding off we get radius = 12metres

To find circumference

We know that circumference of a circle = 2pir

= 2(3.1416)(11.99694)=75.3984 m

Option C is right

Option D is right

5 0
2 years ago
Read 2 more answers
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