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2 years ago

6

The bill for the repair of a car was $357. The cost for the parts was $285. The cost of labor was $32 per hour. Use an equation

to find out how long it took for the mechanic to repair the car?

1 answer:

Ilya [14]2 years ago

4 0

Answer:

2.25 hours

Step-by-step explanation:

Hope this helps! sorry was a tad bit late

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Calculate the future value of $7,000 earning 6% interest compounded quarterly for 7 years. (Round your answer to two decimal pla

qwelly [4]

Use the compound interest formula.

Let A = the ending amount

Let P = the principal

Let r = the interest rate

Let n = the amount compounded a year

Let t = time

A = P(1 + r/n) ^(n/t)

Substitute your numbers in

A = $7,000(1 + 0.06/4)^(4/7)

Solve for A

A = $7,059.81

7 0

3 years ago

Last weekend, Charlie raked leaves in his front yard l. He noticed that 7/3 kilograms of leaves filled 4/9 of a bag. What is the

Archy [21]

7kg:4/9 bag
?kg:1 bag

7÷4/9 or 7×9/4=63/4 or 15.75. As a result, the unit rate is 15.75 kg of leaves per bag. Hope it help!

3 0

2 years ago

Which of the following figures could have both line symmetry and rotational symmetry?

Lana71 [14]

Answer:

Triangle and square!

Step-by-step explanation:

Let me know if im wrong and I will fix it.

6 0

2 years ago

Read 2 more answers

Researchers studying starfish collected two independent random samples of 40 starfish. One sample came from an ocean area in the

krek1111 [17]

Answer:

The test statistic for the appropriate test is $\frac{0.15-0.275}{\sqrt{0.2125(1-0.2125)[\frac{1}{40}+\frac{1}{40}]}}$ .

Step-by-step explanation:

The experiment conducted here is to determine whether there is a difference in proportion of starfish over 8 inches in length in the two ocean areas, i.e. north and south.

The hypothesis to test this can be defined as follows:

<em>H₀</em>: There is no difference in proportion of starfish over 8 inches in length in the two ocean areas, i.e. <em>p</em>₁ = <em>p</em>₂.

<em>Hₐ</em>: There is a difference in proportion of starfish over 8 inches in length in the two ocean areas, i.e. <em>p</em>₁ ≠ <em>p</em>₂.

The two-proportion <em>z</em>-test would be used to perform the test.

A sample of <em>n</em> = 40 starfishes are selected from both the ocean areas.

It provided that of the 40 starfish from the north, 6 were found to be over 8 inches in length and of the 40 starfish from the south, 11 were found to be over 8 inches in length.

Compute the sample proportion of starfish from north that were over 8 inches in length as follows:

$\hat p_{n}=\frac{6}{40}=0.15$

Compute the sample proportion of starfish from south that were over 8 inches in length as follows:

$\hat p_{s}=\frac{11}{40}=0.275$

The test statistic is:

$z=\frac{\hat p_{n}-\hat p_{s}}{\sqrt{P(1-P)[\frac{1}{n_{n}}+\frac{1}{n_{s}}]}}$

Compute the combined proportion <em>P</em> as follows:

$P=\frac{X_{n}+X_{s}}{n_{n}+n_{s}}=\frac{6+11}{40+40}=0.2125$

Compute the test statistic value as follows:

$z=\frac{\hat p_{n}-\hat p_{s}}{\sqrt{P(1-P)[\frac{1}{n_{n}}+\frac{1}{n_{s}}]}}$

$=\frac{0.15-0.275}{\sqrt{0.2125(1-0.2125)[\frac{1}{40}+\frac{1}{40}]}}$

Thus, the test statistic for the appropriate test is $\frac{0.15-0.275}{\sqrt{0.2125(1-0.2125)[\frac{1}{40}+\frac{1}{40}]}}$ .

8 0

3 years ago

HELP HELP HELP PLEASE ASAP

Vadim26 [7]

Answer:

0.37 feet.

Step-by-step explanation:

The following data were obtained from the question:

Volume (V) = 4100 ft³

Height (h) = 1.8 miles

Radius (r) =?

Next, we shall convert 1.8 miles to foot.

This can be obtained as follow:

Recall:

1 mile = 5280 ft

Therefore,

1.8 miles = 1.8 × 5280 = 9504 ft

Finally, we determine the radius as follow:

Volume (V) = 4100 ft³

Height (h) = 9504 ft

Pi (π) = 3.14

Radius (r) =?

V = πr²h

4100 = 3.14 × r² × 9504

4100 = r² × 29842.56

Divide both side by 29842.56

r² = 4100/29842.56

Take the square root of both side

r = √(4100/29842.56)

r = 0.37 ft

Therefore, the radius of the hole is 0.37 feet.

7 0

2 years ago