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Dmitrij [34]
3 years ago
9

In general, the air temperature decreases 12 degrees for every 4,000 feet increase in altitude. If a hiker climbs 3,000 feet by

how much can she expect the temperature to decrease?
Mathematics
1 answer:
djyliett [7]3 years ago
4 0
<span>
 3,000, 4,000 = 3/4 
3/4 * 12 = 36/ 4. = 9 degrees </span>
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Determine the minimum sample size required when you want to be 99% confident that the sample mean is within 0.50 units of the po
vfiekz [6]

Answer:

b. 224

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.99}{2} = 0.005

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.005 = 0.995, so z = 2.58

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

In this problem:

We want to find n, when M = 0.5, \sigma = 2.9 So

M = z*\frac{\sigma}{\sqrt{n}}

0.5 = 2.58*\frac{2.9}{\sqrt{n}}

0.5\sqrt{n} = 7.482

\sqrt{n} = 14.964

(\sqrt{n})^{2} = (14.964)^{2}

n = 223.9

The nearest integer number to 223.9 is 224.

So the correct answer is:

b. 224

6 0
3 years ago
Find the measure of arc EFC
babunello [35]

Answer:

73 degrees buddy

Step-by-step explanation:

Figure attached.We know there are 360 degrees in a ...

6 0
3 years ago
Sprinter #1 is running at a speed of 96 inches/second. Sprinter #2 is running at a speed of 475
ladessa [460]

Answer:

Sprinter #1

Step-by-step explanation:

Sprinter #1 is running at 96/12 feet per second: 8 feet per second

Sprinter  #2 is running at 475/60 feet per second: approximately 7.9 feet per second

Sprinter #1 covers more distance per second.

6 0
2 years ago
A train travels 250 miles at a constant speed (x), in miles per hour.
Sedaia [141]
250 = 5 x is the equation you can use
4 0
3 years ago
Read 2 more answers
Three points, A, B, and C exists in space such that B is "between" A and C. It is known that AB=7, BC=4, and AC=9. Are points A,
LenKa [72]
Two or more points are said to be collinear if they lie on the same straight line.

Given a straight line XY, with a point P on the straight line between point X and Y, then
XP + PY = XY

From the question, it was given that AB = 7 and BC = 4, so if A, B, C are colinear, then
AB + BC = AC
i.e. 7 + 4 = 11

But, from the equation, AC = 9.

Therefore, points A, B and C are not collinear.
7 0
3 years ago
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