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3 years ago

If 31,000 citizens died in an automobile accidents in 2015. how many died each hour

Mathematics

2 answers:

Dima020 [189]3 years ago

7 0

There are 8760 hours in a year so if you divide 31,000 by 8760 hours you should get 3.5 as your answer

stira [4]3 years ago

6 0

Work out the number of hours in 1 year:-

1 year = 365*24 = 8760

So the number dying each hour = 31,000 / 8760 = 3.54

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You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard devia

Arturiano [62]

Answer:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (3)

$n=(\frac{2.58(54.5)}{5})^2 =790.846 \approx 791$

So the answer for this case would be n=791 rounded up to the nearest integer

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

Since the Confidence is 0.99 or 99%, the value of $\alpha=0.01$ and $\alpha/2 =0.005$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.005,0,1)".And we see that $z_{\alpha/2}=2.58$

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (2)

And on this case we have that ME =+5 and we are interested in order to find the value of n, if we solve n from equation (2) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (3)

$n=(\frac{2.58(54.5)}{5})^2 =790.846 \approx 791$

So the answer for this case would be n=791 rounded up to the nearest integer

4 0

3 years ago

Classify the triangle as acute, right, or obtuse based on the side lengths of 8, 11, and 14.

ratelena [41]

Answer:

Obtuse

Step-by-step explanation:

$8^2+11^2=14^2\\64+121=196\\185=196$

Since the hypotenuse is bigger, the triangle is obtuse

8 0

2 years ago

Read 2 more answers

Find the solution of the system of equations.

Alex17521 [72]

Answer:

the answer is Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(−17/2, -7)

Equation Form:x=-17/2 y=-7

5 0

3 years ago

Read 2 more answers

1. Kayla wants to find the width, AB, of a river. She walks along the edge of the river 100 ft and marks point C. Then she walks

Zolol [24]

You are given Kayla's walking distance along the edge of the river 100 ft and marks point C, then she walks 100 ft further and marks point D and she turns 90° and walks until her location, point A, and point C are collinear. She marks point E at this location. ABC and EDC are congruent. thats just what i think it is tho

6 0

2 years ago

Each side of a square is increasing at a rate of 6 cm/s. at what rate is the area of the square increasing when the area of the

katrin [286]

A = s^2
A' = 2s*s'

When the area is 36 cm^2, the side (s) is 6 cm. The area is increasing at the rate
A' = 2(6 cm)*(6 cm/s) = 72 cm^2/s

8 0

3 years ago