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Yakvenalex [24]
3 years ago
13

daniella wants to run a total of 3,600 laps during the next 52 weeks. What is the total number of laps she will run if she runs

70 laps each week for 50 weeks? Write an equation
Mathematics
1 answer:
solmaris [256]3 years ago
8 0

Answer:

3500

Step-by-step explanation:

I divided everything and I ended up just multiplying 70x50 which got me 3500. I'm sorry, but I don't know in what way to write the equation. I don't know if it's y=mx+b or some other way. all I was able to come up with was y=50x+70

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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}

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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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