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2 years ago

The product of the ages of two adults is 572. Find their ages.

Mathematics

1 answer:

AlladinOne [14]2 years ago

7 0

Answer:

286

Step-by-step explanation:

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For X a binomial random variable with n=5 and p=1/4, answer the following

mash [69]

Recall that for $X\sim\mathrm{Bin}(n,p)$ , i.e. a random variable $X$ following a binomial distribution over $n$ trials and with probability parameter $p$ ,

$\mathbb P(X=x)=f_X(x)=\begin{cases}\dbinom nx p^x(1-p)^{n-x}&\text{for }x\in\{0,1,\ldots,n\}\\\\0&\text{otherwise}\end{cases}$

So you have

$\mathbb P(X=2)=\dbinom52\left(\dfrac14\right)^2\left(1-\dfrac34\right)^{5-2}=\dfrac{135}{512}\approx0.26$

$\mathbb P(2\le X\le4)=\displaystyle\sum_{x=2}^4\mathbb P(X=x)$
$=\dbinom52\left(\dfrac14\right)^2\left(1-\dfrac14\right)^{5-2}+\dbinom52\left(\dfrac14\right)^3\left(1-\dfrac14\right)^{5-3}+\dbinom52\left(\dfrac14\right)^4\left(1-\dfrac14\right)^{5-4}$
$=\dfrac{375}{1024}\approx0.37$

The expected value of $X\sim\mathrm{Bin}(n,p)$ is simply $np$ , while the standard deviation is $\sqrt{np(1-p)}$ . In this case, they are $\dfrac54=1.25$ and $\sqrt{\dfrac{15}{16}}\approx0.97$ , respectively.

7 0

2 years ago

Select the car that has the best fuel efficiency (greatest number of kilometer per liter of gasoline? Pls hurry

navik [9.2K]

Answer:

C is correct.

Step-by-step explanation:

Khan Academy said so.

3 0

2 years ago

Read 2 more answers

Which of the following quantities are to the left of zero on a number line? Select three that apply.

emmainna [20.7K]

Answer:

A, D, and E

Step-by-step explanation:

because they are negative

5 0

2 years ago

The endpoints of a side of rectangle ABCD in the coordinate plane are at A(1,4) and

andrew-mc [135]

Answer:

Step-by-step explanation:

A(1, 4)

B(4, 1)

$m_{AB}$ = $\frac{1-4}{4-1}$ = - 1

y - 1 = - 1 ( x - 4 )

<em>y = - x + 5</em>

6 0

2 years ago

If a car averages 21.8 miles per gallon, how many miles will it travel on 16 gallons of gas?

asambeis [7]

Answer: 348.8 miles on 16 gallons of gas

Step-by-step explanation:

Make the following proportion:

$\frac{21.8 miles}{1 gallon}$ = $\frac{x miles}{16 gallons}$

Since the car consumes gas at the same rate and only the amount of gas is changed, these two fractions must be equivalent. If the rate at which the car consumes gas changes, it would be different.

Use basic algebraic skills and you should get 348.8 miles.

7 0

2 years ago