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Vilka [71]
3 years ago
14

Matt plans to put concrete on a rectangular portion of his driveway. The portion is 8 feet long and 4 inches high. The price of

concrete is 98 dollars per cubic yard. The total cost of the concrete Matt needs 58.07. Which of the following is closest to the width of the portion of the driveway on which Matt plans to put concrete?
Mathematics
1 answer:
kakasveta [241]3 years ago
7 0

Answer:

The width of the yard is approximately 6 feet.

Step-by-step explanation:

1 cubic yard = 27 cubic feet. Then we must find the number of cubic yards.

So we know for 1 cubic yard = $98

And for "x" cubic yard = $58.07

1/x =98/58.07

x = 0.5925

After we figure this out we need to convert this into cubic feet

1 cubic yard = 27 cubic feet

0.5925 cubic yard = x cubic feet

1/0.5925= 27/x

x = 15 .99 cubic feet

So,

width x height x length = 16 cubic feet

w x 8 x (1/3) = 16

w = 48/8 = 6 feet

So:

The answer is:

The width of the yard is approximately 6 feet.

Hope this helps, have a good day. c;

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Tim walks at a pace of 80 meters per minute. His school is 4 km away. If school begins at 8:00, what time does Tim need to leave
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Answer:

7:10

Step-by-step explanation:

did the math

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3 years ago
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The population of a certain country since 1990 can be approximated by f(t)=0.008t2+2.1t+175 where f(t) is the population in mill
azamat

Answer:

\frac{f(20)-f(0)}{20-0} = \frac{220.2-175}{20}  = 2.26

Step-by-step explanation:

as with all functions f(t), the average rate of change on [a.b] is

\frac{f(b)-f(a)}{b-a}

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3 years ago
A manufacturer produces piston rings for an automobile engine. It is known that ring diameter is normally distributed with σ=0.0
oksian1 [2.3K]
<h2>Answer with explanation:</h2>

The confidence interval for population mean is given by :-

\overline{x}\pm z^* SE                   (1)

, where \overline{x} = sample mean

z* = critical value.

SE = standard error

and SE=\dfrac{\sigma}{\sqrt{n}} , \sigma = population standard deviation.

n= sample size.

As per given , we have

\overline{x}=74.021

\sigma=0.001

n= 15

It is known that ring diameter is normally distributed.

SE=\dfrac{0.001}{\sqrt{15}}=0.000258198889747\approx0.000258199

By z-table ,

The critical value for 95% confidence  = z*= 1.96

A 99% two-sided confidence interval on the true mean piston diameter :

74.021\pm (2.576) (0.000258199)     (using (1))

74.021\pm 0.000665120624

74.021\pm 0.000665120624\\\\=(74.021- 0.000665120624,\ 74.021+ 0.000665120624)\\\\=(74.0203348794,\ 74.0216651206)\approx(74.020,\ 74.022)  [Rounded to three decimal places]

∴  A 99% two-sided confidence interval on the true mean piston diameter  = (74.020, 74.022)

By z-table ,

The critical value for 95% confidence  = z*= 1.96

A 95% lower confidence bound on the true mean piston diameter:

74.021- (1.96) (0.000258199)    (using (1))

74.021- 0.00050607004=74.02049393\approx74.020 [Rounded to three decimal places]

∴  A 95% lower confidence bound on the true mean piston diameter= 74.020

7 0
3 years ago
13. Suppose the probability of passing a driving test is 65%. (a) On a certain afternoon 15 people are tested. (i) What is the e
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Answer: 9

Step-by-step explanation:

Based on the information given in the question, the expected number of people who pass will be calculated as:

= Probability of passing the driving test × Number of people tested

= 65% × 15

= 0.65 × 15

= 9.75

Therefore, expected number of people who pass is 9.

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What dose this equation equal ? -8x+4+(-3)=?
Marianna [84]
-8x+1 is the answer
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