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2 years ago

A contractor has two choices for billing a completed job.

Mathematics

2 answers:

kirill115 [55]2 years ago

7 0

Answer:C

just happen to take the test

dem82 [27]2 years ago

4 0

Answer:

C. The solution (25, 20) tells the contractor the number of hours on a job where the hourly rate is the same for both billing options.

Step-by-step explanation:

In the graph, the x axis represents the number of hours worked and the y-axis represents the hourly rate.

It is given that the hourly rate is $20.

While seeing the options, clearly, (0, 20), (0, 500) and (20, 25) are not points on the graph.

Hence, the correct option is (C).

You might be interested in

400 students were randomly sampled from a large university, and 289 said they did not get enough sleep. Conduct a hypothesis tes

melomori [17]

Answer:

The sample proportion represents a statistically significant difference from 50%

Step-by-step explanation:

Null hypothesis: The sample proportion is the same as 50%

Alternate hypothesis: The sample proportion is not the same as 50%

z = (p' - p) ÷ sqrt[p(1 - p) ÷ n]

p' is sample proportion = 289/400 = 0.7225

p is population proportion = 50% = 0.5

n is number of students sampled = 400

z = (0.7225 - 0.5) ÷ sqrt[0.5(1 - 0.5) ÷ 400] = 0.2225 ÷ 0.025 = 8.9

The test is a two-tailed test. Using a 0.01 significance level, critical value is 2.576. The region of no rejection of the null hypothesis is -2.576 and 2.576.

Conclusion:

Reject the null hypothesis because the test statistic 8.9 falls outside the region bounded by the critical values -2.576 and 2.576.

There is sufficient evidence to conclude that the sample proportion represents a statistically significant difference from 50%.

3 0

2 years ago

Explain how to find the greatest number of identical arrangements that can be made with 54 roses and 42 tulips with no flowers l

Basile [38]

Work out the Greatest Common Factor for both numbers

54 421×54 1×422×27 2×213×18 3×146×9 6×7

The common factors are: 1, 2, 3 and 6
The greatest common factor is 6
There are 6 identical arrangements that can be made

There will be 9 roses and 7 tulips in each arrangement

3 0

2 years ago

Read 2 more answers

Jake scored 17 out of 25 points on a math quiz. He then scored 16 out of 20 points on a spelling quiz. On which quiz did Jake sc

Nikolay [14]

Answer:

Jake scored more on the spelling quiz. 80% is more than 68% so therefore he scored more on the quiz. To find 80% and 68%, you can use a percent of proportion or divide and multiply by 100.

Step-by-step explanation:

To find the percent of a score, you divide.

17/25 (division) = 0.68

0.68 is a decimal so to make it a percent you multiply by 100 = 68%

Or you can do it with fractions:

17/25 = ?/100: 68

16/20 = 0.8

Again, 0.8 times 100 = 80%

Or you can do it with fractions:

16/20 = ?/100: 80

He scored more on the spelling quiz, I hope this helps (justification on the answer).

7 0

1 year ago

The quotient of 24 and x equals 14 minus 2 times x.

antoniya [11.8K]

Answer:

X = 4, 3

Step-by-step explanation:

I don't know if that's what you were looking for

7 0

2 years ago

In professional basketball games during 2009-2010, when Kobe Bryant of the Los Angeles Lakers shot a pair of free throws, 8 time

ziro4ka [17]

Answer:

Is plausible that the successive throws are independent

Step-by-step explanation:

1) Table with info given

The observed values are given by the following table

__________________________________________________

First shot Made Second shot missed Total

__________________________________________________

Made 152 33 185

Missed 37 8 45

__________________________________________________

Total 189 41 230

2) Calculations and test

We are interested on check independence and for this we need to conduct a chi square test, the next step would be find the expected value:

Null hypothesis: Independence between two successive free throws

Alternative hypothesis: No Independence between two successive free throws

_____________________________________________________

First shot Made Second shot missed

_____________________________________________________

Made 189(185)/230=152.0217 41(185)/230=32.9783

Missed 189(45)/230=36.9783 41(45)/230=8.0217

_____________________________________________________

On this case all the expected values are higher than 5 and the sample size 230 is enough to apply the chi squared test.

3) Calculate the chi square statistic

The statistic for this case is given by:

$\chi_{cal}^2 =\sum \frac{(O_i -E_i)}{E_i}$

Where O represent the observed values and E the expected values. Replacing the values that we got we have this

$\chi_{cal}^2 =\frac{(152-152.0217)^2}{152.0217}+\frac{(33-32.9783)^2}{32.9783}+\frac{(37-36.9783)^2}{36.9783}+\frac{(8-8.0217)^2}{8.0217}=0.000003098+0.00001428+0.00001273+0.0.00005870=0.00008881$

Now with the calculated value we can find the degrees of freedom

$df=(r-1)(c-1)=(2-1)(2-1)=1$ on this case r means the number of rows and c the number of columns.

Now we can calculate the p value

$p_v =P(\chi^2 >0.00008881)=0.9925$

On this case the pvalue is a very large value and that indicates that we can fail to reject the null hypothesis of independence. So is plausible that the successive throws are independent.

5 0

2 years ago