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VladimirAG [237]
3 years ago
9

If Josh can run 1.5 miles in 12 minutes how long will it take him to run a mile

Mathematics
1 answer:
yaroslaw [1]3 years ago
4 0

Answer:

9 minutes

Step-by-step explanation:

12 divided by 1.5 is 9.

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(SAT prep) Find the value of x in each case of the following exercises:
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The value of x from the figure is 70°

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It is important to note that alternate angles are equal and angles in a triangle sum up to 180°

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1 year ago
Simplify the problems
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convert the measurement 5,000 yards (There are 1.09 yards in a meter.) A. 4000 m B. 6000 m C. 5 km D. 500 m
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A

Step-by-step explanation:

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A is the correct answer. Hope this helps!

3 0
2 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

4 0
3 years ago
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