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Vika [28.1K]
3 years ago
8

Paul plans to put concrete on a rectangular portion of his driveway. The portion is 12 feet long and six inches high. The price

of concrete is $98 per cubic yard. The total cost of the concrete Paul needs is $108.89. Which of the following is closest to the width of the portion of the driveway on which Paul plans to put concrete?
[1 foot = 12 inches; 1 yard = 3 feet]

a) 3 feet
b) 5 feet
c) 8 feet
d) 10 feet
Mathematics
2 answers:
hammer [34]3 years ago
8 0
The answer would be B I took the test right now and got 100%
coldgirl [10]3 years ago
3 0
The width needed would be 5 feet, so B. 
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Does anyone know this one?
mel-nik [20]

Answer:

-3

Step-by-step explanation:

(-5) - (-2) = (-3)

hope it helps

6 0
2 years ago
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2. The National Safety Council routinely analyzes the benefit of seat belt use on driver safety. Their data showed that among 28
JulijaS [17]

Answer:

We conclude that there is difference in the proportion of deaths between the 2 groups.

Step-by-step explanation:

We are given that among 2823 drivers not wearing seat belts, 31 died as a result of injuries, and among 7765 drivers wearing seat belts 16 were killed.

Let p_1 = <u><em>proportion of deaths when drivers were not wearing seat belts.</em></u>

p_2 = <u><em>proportion of deaths when drivers were wearing seat belts.</em></u>

So, Null Hypothesis, H_0 : p_1=p_2      {means that there is no difference in the proportion of deaths between the 2 groups}

Alternate Hypothesis, H_A : p_1\neq p_2     {means that there is difference in the proportion of deaths between the 2 groups}

The test statistics that would be used here <u>Two-sample z test for proportions;</u>

                          T.S. =  \frac{(\hat p_1-\hat p_2)-(p_1-p_2)}{\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+\frac{\hat p_2(1-\hat p_2)}{n_2} } }  ~ N(0,1)

where, \hat p_1 = sample proportion of deaths when drivers were not wearing seat belts = \frac{31}{2823} = 0.011

\hat p_2 = sample proportion of deaths when drivers were wearing seat belts = \frac{16}{7765} = 0.002

n_1 = sample of drivers not wearing seat belts = 2823

n_2 = sample of drivers wearing seat belts = 7765

So, <u><em>the test statistics</em></u>  =  \frac{(0.011-0.002)-(0)}{\sqrt{\frac{0.011(1-0.011)}{2823}+\frac{0.002(1-0.002)}{7765} } }

                                       =  4.438

The value of z test statistics is 4.438.

<u>Now, at 5% significance level the z table gives critical values of -1.96 and 1.96 for two-tailed test.</u>

Since our test statistic doesn't lie within the range of critical values of z, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which <u>we reject our null hypothesis</u>.

Therefore, we conclude that there is difference in the proportion of deaths between the 2 groups.

Also, <u>Margin of error</u> (E) =  1.96 \times \sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+\frac{\hat p_2(1-\hat p_2)}{n_2} }

                                        =  1.96 \times \sqrt{\frac{0.011(1-0.011)}{2823}+\frac{0.002(1-0.002)}{7765} }

                                        =  <u>0.00397</u>

5 0
3 years ago
Pleas help I honestly hate ttm and this hasn't been taught yet
tia_tia [17]
Lateral surface area just means the surface area, but excluding the top and base, so for a pyramid the lateral surface area would just be the surface area of all four triangles.

To find the surface area of the four triangles, you first do base × height = 32 × 24 = 768, and then divide that by 2 which is 384. Now you can just multiply this by 4 and get your answer as 1,536 square centimeters.

I hope this helps!
3 0
3 years ago
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Find the surface area of the prism.
Mrac [35]

Answer: 136

Step-by-step explanation: 5x7=35 5x7=35 6x4/2=12 6x4/2=12 7x6=42 35+35+12+12+42=136

8 0
3 years ago
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1. Which Transformation would result in an image NOT congruent to its pre-image?
irga5000 [103]
A is the correct answer

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