Fourteen less than the quotient of a number and 5

Mathematics

1 answer:

Ede4ka [16]2 years ago

6 0

Answer:

Step-by-step explanation:

14-(a/5)

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If y has moment-generating function m(t) = e 6(e t −1) , what is p(|y − µ| ≤ 2σ)?

Lostsunrise [7]

Since $\mathrm M_Y(t)=e^{6(e^t-1}$ , we know that $Y$ follows a Poisson distribution with parameter $\lambda=6$ .

Now assuming $\mu,\sigma$ denote the mean and standard deviation of $Y$ , respectively, then we know right away that $\mu=6$ and $\sigma=\sqrt6$ .

So,

$\mathbb P(|Y-\mu|\le2\sigma)=\mathbb P(6-2\sqrt6\le Y\le6+2\sqrt6)=\dfrac{66366}{175e^6}\approx0.940028$

6 0

3 years ago

Abigail”s car used 9 gallons of gas to travel 378 miles. How many gallons of gas would she need to travel 210 miles?

pochemuha

Answer: 5 gallons

Step-by-step explanation:

First, we need to know how many miles we can get by on a gallon of gas. To find this, we need to divide 378 miles by 9 gallons.

378/9 = 42

42 miles per gallon.

Now, we need to find how many gallons of gas it will take Abigail to travel 210. To find this, we simply divide 210 by 42.

210/42 = 5

It will take Abigail 5 gallons of gas to travel 210 miles.