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scZoUnD [109]
3 years ago
14

Can someone please answer this?

Mathematics
1 answer:
rosijanka [135]3 years ago
3 0

Answer:

13 foot rounded to the nearest foot

Step-by-step explanation:

the ratio is

nose to head: 2:9

Rushmore  mountain Roosevelt :

nose to head : x/60

2/9=x/60

120=9x

x=120/9= 13 1/3 or 13.33

x=13 foot rounded to the nearest foot

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Answer:

a)P=0.42

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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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2 years ago
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Its 100% correct just not in the order you put it in, I think you might of switched them but I just did the Warm-Up and its right my dudes :)

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