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2 years ago

Find area of shaded region! Please leave ur answer in terms of pi!

Mathematics

1 answer:

vaieri [72.5K]2 years ago

6 0

Answer:

16pi

Step-by-step explanation:

144pi is the area of the whole circle

(360 - 320)/360 = 1/9

144*1/9=16

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Simply the expression: 52 + 53 - 54 A) -475 B) -350 C) -125 D) 5

stira [4]

52 + 53 - 54 = 51

None of them is the answer

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3 years ago

An apple pie uses 4 cups of apples and 3 cups of flour. An apple cobbler uses 2 cups of apples and 3 cups of flour. You have 16

vova2212 [387]

Both the x and y have to be greater than zero so you need to add two inequalities, x>0, y>0

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3 years ago

Which statement is not true for a binomial distribution with n = 15 and p = 1/20 ? a) The standard deviation is 0.8441 b) The nu

malfutka [58]

Answer:

d) The highest probability occurs when x equals 0.7500

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability, given by the following formula:

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

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.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

In this problem, we have that:

$n = 15, p = \frac{1}{20}$

a) The standard deviation is 0.8441

$\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{15*0.05*0.95} = 0.8441$

This is correct

b) The number of trials is equal to 15

n is the number of trials and $n = 15$ . So this option is correct.

c) The probability that x equals 1 is 0.3658

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

$P(X = 1) = C_{15,1}.(0.05)^{1}.(0.95)^{14} = 0.3658$

This option is correct.

d) The highest probability occurs when x equals 0.7500

False. The number of sucesses is a discrete number, that is, 0, 1, 2,...,15. P(X = 0.75), for example, does not exist.

e) The mean equals 0.7500

$E(X) = np = 15*0.05 = 0.75$

This option is correct.

f) None of the above

d is false

3 0

2 years ago

Hours 7 2/3 1 2/5 4 3/4 8 4/5

VLD [36.1K]

1. 7 hours and 40 min
2. 1 hour and 24 min
3. 4 hours and 45 min
4. 8 hours and 48 min

3 0

3 years ago

b) A shopping center consists of two stores and two parking lots. In the diagram, w represents the width of Store B in meters. 2

Degger [83]

Answer:

Step-by-step explanation:

25(w+10) + 13.5(w +10)

5 0

3 years ago