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2 years ago

Find the area of the trapezoid. 40 mm 24 mm 19 mm A= mm2

Mathematics

1 answer:

UNO [17]2 years ago

5 0

Answer:

A = 708 mm^2

Step-by-step explanation:

$A=\frac{a+b}{2} h\\\\A=\frac{19+40}{2} *24\\\\A=\frac{59}{2} *24\\\\A= 708$

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2. Which of the following statements describes the graph below?

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Paul and Tom both commute to work. Paul's commute on the train takes 15 minutes more than one third as many minutes as Tom's com

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Answer:

45 = (one third)x + 15

Step-by-step explanation:

If x represents the number of minutes Tom commutes, then (1/3)x is "one-third as many minutes as Tom's commute." 15 minutes more than that is ...

(1/3)x + 15

We are told this is the length of Paul's commute, and that it is 45 minutes. So, the appropriate equation is ...

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3 years ago

There were three concerts in Lakeside. The first concert had 953 people in the attendance. The second and third concerts each ha

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2 years ago

Insurance companies are interested in knowing the population percent of drivers who always buckle up before riding in a car. The

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Answer:

The 84% confidence interval for the population proportion that claim to always buckle up is (0.74, 0.80).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the z-score that has a p-value of $1 - \frac{\alpha}{2}$ .

They randomly survey 387 drivers and find that 298 claim to always buckle up.

This means that $n = 387, \pi = \frac{298}{387} = 0.77$

84% confidence level

So $\alpha = 0.16$ , z is the value of Z that has a p-value of $1 - \frac{0.16}{2} = 0.92$ , so $Z = 1.405$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.77 - 1.405\sqrt{\frac{0.77*0.23}{387}} = 0.74$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.77 + 1.405\sqrt{\frac{0.77*0.23}{387}} = 0.8$

The 84% confidence interval for the population proportion that claim to always buckle up is (0.74, 0.80).

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3 years ago

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Answer:

it would be a 3/15 or 1/5 chance

Step-by-step explanation:

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3 years ago

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