F(x) = 3x + 2 and g(x) = x + 5

Mathematics

1 answer:

hjlf2 years ago

5 0

Answer:

G(f(x)) = A. 3x + 7

Step-by-step explanation:

Plug F(x) into the x on G. so (3x+2) +5 = 3x+7

You might be interested in

How many different types of cross sections of a cone are possible? A.3

adoni [48]

The answer is B. 5.
There are five different types of cross sections of a cone possible.

8 0

3 years ago

Please help on number 15 thank you!

Serggg [28]

It's b because it's b !

6 0

3 years ago

The base of a triangle is 5/8 ft. The height is 1/3 ft.

Ierofanga [76]

5/8÷1/3=5/8×3/1
(multiply by reciprocal instead of dividing)
5/8×3/1=15/8=1.875

3 0

3 years ago

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

3 years ago

In the town zoo 3/8 of the animals are birds. Of the birds 4/15 are birds of prey. What fraction of the animals are nirds of pre

poizon [28]

3/8 of the animals are birds
of the birds: 4/15 are birds of prey

If you want to know what fraction of the animals at the zoo are birds of prey, you can calculate this using the following steps:

4/15 * 3/8 = 12 / (15*8) = 1 / (5*2) = 1 / 10 = 0.1

Result: In the town zoo, 1/10 of animals are birds of prey.

5 0

3 years ago