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3 years ago

A contractor is pouring a concrete driveway. The perimeter is 108 ft. What length will the driveway be if the width is 14 ft.?

Mathematics

2 answers:

hram777 [196]3 years ago

7 0

The answer is length=40ft

BigorU [14]3 years ago

6 0

Answer:

Length = 40 ft.

Step-by-step explanation:

Perimeter P = 2L + 2W where L = the length and W = the width.

So we plug in W = 14 and P = 105:

108 = 2L + 2(14)

108 - 28 = 2L

2L = 80

L = 40.

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timurjin [86]

The correct expression that is equivalent to the algebraic expression -5x - 15 + 25x - 30 is -5(-4x + 9).

<h3>How to determine the equivalent expression</h3>

We shall simplify the given algebraic expression by carrying out basic mathematics operations as follows;

Given: -5x - 15 + 25x - 30

we group like terms together

25x - 5x - 15 - 30

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by factoring out 5

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also;

5(4x - 9) = -5(-4x + 9)

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1 year ago

A sanitation department is interested in estimating the mean amount of garbage per bin for all bins in the city. In a random sam

bekas [8.4K]

Answer:

The 95.7% confidence interval for the expected amount of garbage per bin for all bins in the city

(48.937 , 50.863)

Step-by-step explanation:

Explanation:-

Given data random sample of 46 bins, the sample mean amount was 49.9 pounds and the sample standard deviation was 3.641

The sample size 'n' =46

mean of the sample x⁻ = 49.9

Standard deviation of the sample S = 3.641

Confidence intervals:-

The 95.7% confidence interval for the expected amount of garbage per bin for all bins in the city

$(x^{-} - t_{\alpha } \frac{S}{\sqrt{n} } ,x^{-} + t_{\alpha } \frac{S}{\sqrt{n} })$

Degrees of freedom = n-1 = 46-1 =45

The tabulated value t₀.₉₆ = 1.794 ( from t-table)

$(49.9 - 1.794 \frac{3.641}{\sqrt{46} } ,49.9+ 1.794 \frac{3.641}{\sqrt{46} })$

(49.9 -0.9630 , 49.9+0.9630)

(48.937 , 50.863)

Conclusion:-

The 95.7% confidence interval for the expected amount of garbage per bin for all bins in the city

(48.937 , 50.863)

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3 years ago