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lesantik [10]
3 years ago
9

May I please receive help?

Mathematics
1 answer:
san4es73 [151]3 years ago
8 0

Answer: (175*π)yd^2

Step-by-step explanation:

If we find the total area enclosed by the outer circle, the subtract the area enclosed by the inner circle, the we inevitably get the area between the two regions.

The radius of the outer circle is 15yd + 5yd, which is 20yd. Use the formula for the area of a circle, A = pi*r^2. Therefore, the area enclosed by the outer circle is:

A=\pi* 20^2=400\pi

Now, the radius of the inner circle was stated to be 15yd. Do the same thing. Plug it into the formula:

A=\pi *15^2=225\pi

Subtract the two areas to find the shaded blue area. Hopefully this was intuitive by thinking of area as an enclosed region of space.

A=400\pi -225\pi =175\pi

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Eight percent of all college graduates hired by companies stay with the same company for more than five years. The probability,
Maurinko [17]

Answer:

0.1662 = 16.62% probability that exactly 2 will stay with the same company for more than five years

Step-by-step explanation:

For each graduate, there are only two possible outcomes. Either they stay for the same company for more than five years, or they do not. Graduates are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

Eight percent of all college graduates hired by companies stay with the same company for more than five years.

This means that p = 0.08

Sample of 11 college graduates:

This means that n = 11

The probability, rounded to four decimal places, that in a random sample of 11 such college graduates hired recently by companies, exactly 2 will stay with the same company for more than five years is: the absolute tolerance is +-0.0001

The tolerance means that the answer is rounded to four decimal places.

The probability is P(X = 2). So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 2) = C_{11,2}.(0.08)^{2}.(0.92)^{11} = 0.1662

0.1662 = 16.62% probability that exactly 2 will stay with the same company for more than five years

4 0
3 years ago
How do you calculate the number of inches if you are given a distance measured in feet in the English system? Multiple choice
shepuryov [24]

Answer:

It's A.

Step-by-step explanation:

There are 12 inches in 1 foot.

Therefore you multiply by 12.

3 0
4 years ago
I need help with this fast! Thanks!
zavuch27 [327]

Answer: 8 1/20 or 8.05.

Step-by-step explanation: First you would want to make 9 3/4 - 2 1/5 to 39/4 - 11/5. We need to get the LCD or Least Common denominator of 4 and 5, which is 20. The rule is what you multiplied the denominator by you must multiply the numerator by, so our new equation is 195/20 - 44/20, which is 151/20. Now, we have to find the LCD of 2 and 20, which is 10. So 151/20 + 10/20 is 161/20 or 8 1/20.

4 0
3 years ago
Whats would the slope of (-3,10),(-5,-4) coordinates be?
valentina_108 [34]

Answer:

The slope is 7.

Step-by-step explanation:

Let the given points are (p, q)= (-3, 10) & (r, s) =(-5, -4).

Then the slope (m) = (s-q)/(r-p)

⇒ m = (-4 -10)/(-5-(-3))

⇒ m = (-14) / (-5 +3)

⇒ m = -14/- 2

⇒m = 7

Hence the slope is m =7 .

6 0
3 years ago
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Tim and his brother are building towers out of blocks. Tim is using blue blocks that are 6 cm tall and his brother is using gree
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Answer:

The shortest they could have made it is 24cm. Tim used four blue blocks (6x4=24) and his brother used 3 green blocks (8x3=24)

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