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3 years ago

9

a circular garden has a diameter of 12 feet. what is the best approximation for the circumference of the garden? use 3.14 to app

roximation pi

1 answer:

Nuetrik [128]3 years ago

3 0

Answer:

37.68

Step-by-step explanation:

C(circumference)= 2pi r

If the diameter is 12, the r adius is 6

plug into equation

2(pi)(6)

=12pi

=37.68

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Del ray can run 20 1/2 miles in 2 1/4 hours. How many miles per hour can he run?

emmasim [6.3K]

$20 \frac{1}{2} :2 \frac{1}{4} = \frac{41}{2}: \frac{9}{4}= \frac{41}{2}* \frac{4}{9} =\frac{82}{9} = 9 \frac{1}{9} \ \ \text{miles per hour}$

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3 years ago

Suppose that the probability that any particle emitted by a radioactive material will penetrate a certain shield is 0.01. If 10

AnnyKZ [126]

Answer:

a)P=0.42

b) $n\geq 297$

Step-by-step explanation:

We have a binomial distribution, since the result of each experiment admits only two categories (success and failure) and the value of both possibilities is constant in all experiments. The probability of getting k successes in n trials is given by:

$P=\begin{pmatrix}n\\ k\end{pmatrix} p^k(1-p)^{n-k}=\frac{n!}{k!(n!-k!)}p^k(1-p)^{n-k}$

a) we have k=2, n=10 and p=0.01:

$P=\frac{10!}{2!(10!-2!)}0.01^2(1-0.01)^{10-2}\\P=\frac{10!}{2!*8!}0.01^2(0.99)^{8}\\P=45*0.01^2(0.99)^8=0.42$

b) We have, $1-(1-p)^n=P$ , Here P is the probability that at least one particle will penetrate the shield, this probabity has to be equal or greater than 0.95. Therefore, this will be equal to subtract from the total probability, the probability that the particles do not penetrate raised to the total number of particles.

$1-0.99^n\geq 0.95\\0.99^n\leq 1-0.95\\0.99^n\leq 0.05\\n\geq 297$

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3 years ago

Please help ASAP !!!!!

Ket [755]

Answer:

I got you

Step-by-step explanation:

you just gotta get good kid :D

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3 years ago

Convert 3,200,000 to scientific notation

Crank

Answer:

Step-by-step explanation:

3.2x10^6

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3 years ago

Read 2 more answers

Anita is paid P25 for working for 5hours.how much would she be paid if she works for 7 hours

Tresset [83]

Answer:

35$

Step-by-step explanation:

Set up a proportion

5hr=25

7hr=x

Cross multiply

5x=175

divide both sides by 5

x=35$

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3 years ago