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2 years ago

Steven Kellogg, a jet airplane mechanic, works at an hourly rate of

Mathematics

1 answer:

lozanna [386]2 years ago

3 0

Answer:

Part a) The straight-time pay is $\$1,332$

Part b) The overtime pay is $\$432$

Part c) The total pay is $\\$1,764$

Step-by-step explanation:

Part a) What is his straight-time pay?

To find out his straight-time pay multiply the hourly rate of $36 by 37 hours worked

$(36)(37)=\$1,332$

Part b) What is his overtime pay?

we know that

The hourly rate for overtime is equal to

$(1.5)(36)=\$54$

Multiply the hourly rate for overtime by the number of hours overtime

$(54)(8)=\$432$

Part c) What is his total pay?

we know that

The total pay is equal to sum the straight-time pay plus the overtime pay

$\$1,332+\$432=\$1,764$

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2 years ago

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If angle ABC is one degree less than three times angle ABD and angle DBC=47 find each measure

Contact [7]

It has not been indicated whether the figure in the questions is a triangle or a quadrilateral. Irrespective of the shape, this can be solved. The two possible shapes and angles have been indicated in the attached image.

Now, from the information given we can infer that there is a line BD that cuts angle ABC in two parts: angle ABD and angle DBC

⇒ Angle ABC = Angle ABD + Angle DBC

Also, we know that angle ABC is 1 degree less than 3 times the angle ABD, and that angle DBC is 47 degree

Let angle ABD be x

⇒ Angle ABC = 3x-1

Also, Angle ABC = Angle ABD + Angle DBC

Substituting the values in the above equations

⇒ 3x-1 = x+47

⇒ 2x = 48

⇒ x = 24

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2 years ago

Which of the following estimates at a 95% confidence level most likely comes from a small sample?

dusya [7]

The correct answer is:

A) 60% ± 18%.

Explanation:

In a confidence interval, the margin of error is given by z*(σ/√n), where σ is the standard deviation and n is the sample size.

First we find the value of z:

We want a 95% confidence level; 95% = 95/100 = 0.95.

To find the z-score, we first subtract this from 1:
1-0.95 = 0.05.

Divide by 2:
0.05/2 = 0.025.

Subtract from 1 again:
1-0.025 = 0.975.

Using a z-table, we find this value in the middle of the table. The z-score that is associated with this value is 1.96.

Back to our formula for margin of error, we have 1.96(σ/√n). The larger n, the sample size, is, the larger its square root is. When we divide by a larger number, our answer is smaller; this gives us a smaller margin of error.

This means that if we had a small sample size, we would divide by a smaller number, making our margin of error larger. The largest margin of error we have in this question is 18%, so this is our correct answer.

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2 years ago