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2 years ago

Find the area, circumference =6pi yd

1 answer:

7 0

Circumference = 2πr

Given that circumference 0s 6π, find radius:
2πr = 6π
r = 6π ÷ 2π = 3

Now that we know that the radius is 3 yard, find area:
Area = πr²
Area = π(3)²
Area = 9π = 28.27 yd²

Answer: 28.27 yd²

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According to a survey, 65% of murders committed last year were cleared by arrest or exceptional means. Fifty murders committed

monitta

Answer:

a) $P(X=41)=(50C41)(0.65)^{41} (1-0.65)^{50-41}=0.00421$

b) $P(X=36)=(50C36)(0.65)^{36} (1-0.65)^{50-36}=0.0714$

$P(X=37)=(50C37)(0.65)^{37} (1-0.65)^{50-37}=0.0502$

$P(X=38)=(50C38)(0.65)^{38} (1-0.65)^{50-38}=0.0319$

And adding these values we got:

$P(36 \leq X \leq 38)= 0.1535$

c) We can find the expected value given by:

$E(X) = np =50*0.65 = 32.5$

And the standard deviation would be:

$\sigma = \sqrt{np(1-p)} \sqrt{50*0.65*(1-0.65)}= 3.373$

We can use the approximation to the normal distribution and we have at leat 95% of the data within 2 deviations from the mean. And the lower limit for this case would be:

$\mu -2\sigma = 32.5- 2*3.373 = 25.75$

And then we can consider a value of 18 as unusual lower for this case.

Step-by-step explanation:

Let X the random variable of interest "number cleared by arrest or exceptional", on this case we can model this variable with this distribution:

$X \sim Binom(n=50, p=0.65)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

Part a

We want this probability:

$P(X=41)=(50C41)(0.65)^{41} (1-0.65)^{50-41}=0.00421$

Part b

We want this probability:

$P(36 \leq X \leq 38)$

We can find the individual probabilities:

$P(X=36)=(50C36)(0.65)^{36} (1-0.65)^{50-36}=0.0714$

$P(X=37)=(50C37)(0.65)^{37} (1-0.65)^{50-37}=0.0502$

$P(X=38)=(50C38)(0.65)^{38} (1-0.65)^{50-38}=0.0319$

And adding these values we got:

$P(36 \leq X \leq 38)= 0.1535$

Part c

We can find the expected value given by:

$E(X) = np =50*0.65 = 32.5$

And the standard deviation would be:

$\sigma = \sqrt{np(1-p)} \sqrt{50*0.65*(1-0.65)}= 3.373$

We can use the approximation to the normal distribution and we have at leat 95% of the data within 2 deviations from the mean. And the lower limit for this case would be:

$\mu -2\sigma = 32.5- 2*3.373 = 25.75$

And then we can consider a value of 18 as unusual lower for this case.

6 0

2 years ago

You just received an insurance settlement offer related to an accident you had six years ago. The offer gives you a choice of on

Usimov [2.4K]

answer:

Step-by-step explanation:

Option A. $1565 for 72months

Then the total is $112,680

Option B. $1012 for a month for 10 years,

10years is equivalent to 120months

Therefore, the total income is 1012×120

$121,440.

Option 3.

$100,000 once payment.

All the information is correct.

But,

Since the individual did not care if he receives the fund or it is transfer to his heir, so we can ignore the third option of collecting $100000 lump sum.

Also, since he is also ready to wait and he is indifferent about who earns the insurance settlement so he can as well wait and ignore the 72months.

So he can go for the second option because it pays the largest amount and he will receive the most payments.

He will receive $121,440 if he waits for ten years.

4 0

2 years ago

A high school track is shaped as a rectangle with a half circle on either side.

earnstyle [38]

Answer:

Step-by-step explanation:

perimeter=2(85)+π(12.5)=220+2×12.5π

=170+25×3.14

=170+78.5

=248.5

distance ran=3×248.5=745.5 yards.

8 0

2 years ago

Read 2 more answers

What is the value of x in the linear inequality? -3(4x-8.2) < -11.98x + 14 3/4

Dmitrij [34]

-3(4x-8.2) < -11.98x + 14 3/4

Expand by using distributive property

-12x + 24.6 < -11.98x + 14.75

Subtract 24.6 from both sides

-12x < -11.98x - 9.85

Add both sides by -11.98x

-0.02x < - 9.85

Divide both sides by -0.02 (sign will be flipped)

x > 492.5

Hope it helps.

8 0

2 years ago

A. B. C. D. E. Which expressions listed on the left are equivalent to ? Check all that apply. (Assume that a ≠ 0.) A B C D E

Neko [114]

The Answer Is .A,B,AND E

4 0

2 years ago

Read 2 more answers