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dedylja [7]
2 years ago
5

50 POINTS!!!!

Mathematics
1 answer:
Softa [21]2 years ago
3 0

Answer:

Step-by-step explanation:

Given that X -  the distribution of heights of male pilots is approximately normal, with a mean of 72.6 inches and a standard deviation of 2.7 inches.

Height of male pilot = 74.2 inches

We have to find the percentile

X = 74.2

Corresponding Z score = 74.2-72.6 = 1.6

P(X<174.2) = P(Z<1.6) = 0.5-0.4452=0.0548=5.48%

i.e. only 5% are below him in height.

Thus the malepilot is in 5th percentile.

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The distance from the center to where the foci are located exists 8 units.

<h3>How to determine the distance from the center?</h3>

The formula associated with the focus of an ellipse exists given as;

c² = a² − b²

Where c exists the distance from the focus to the center.

a exists the distance from the center to a vertex,

the major axis exists 10 units.

b exists the distance from the center to a co-vertex, the minor axis exists 6 units

c² = a² − b²

c² = 10² - 6²

c² = 100 - 36

c² = 64

c = \sqrt{64}

c = 8

Therefore, the distance from the center to where the foci are located exists 8 units.

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Mr. Smith borrowed $22,000 to purchase stock for his baseball card shop. He repaid the simple interest loan after four years. He
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Based on the calculations, the interest rate on the stock in four (4) years is equal to 7.1%.

<u>Given the following data:</u>

Amount borrowed (Principal) = $22,000.

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To determine the interest rate on the stock in four (4) years:

<h3>How to calculate simple interest?</h3>

Mathematically, simple interest can be calculated by using this formula:

I = PRT

<u>Where:</u>

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Making R the subject of formula, we have:

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Substituting the given parameters into the formula, we have;

R = 6260/(22,000 × 4)

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