Base: 11 m, area: 1115.5 m2

Let f(x) = x ^ 2 and g(x) = x - 3 . Evaluate (g?f)(0).

nignag [31]

Answer:

$g(f(0))=-3$

Step-by-step explanation:

we have

$f(x)=x^{2}$

$g(x)=x-3$

we know that

$(g o f)(x)=g(f(x))$

substitute the variable x in the function g(x) by the function f(x)

so

$g(f(x))=x^{2}-3$

Evaluate $g(f(0))$

For x=0

$g(f(0))=0^{2}-3$

$g(f(0))=-3$

5 0

3 years ago

According to a 2018 survey by Bankrate, 20% of adults in the United States save nothing for retirement (CNBC website). Suppose t

nalin [4]

Answer:

0.5981 = 59.81% probability that three or less of the selected adults have saved nothing for retirement

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they save nothing for retirement, or they save something. The probability of an adult saving nothing for retirement is independent of any other adult. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

20% of adults in the United States save nothing for retirement (CNBC website).

This means that $p = 0.2$

Suppose that sixteen adults in the United States are selected randomly.

This means that $n = 16$

What is the probability that three or less of the selected adults have saved nothing for retirement?

This is:

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{16,0}.(0.2)^{0}.(0.8)^{16} = 0.0281$

$P(X = 1) = C_{16,1}.(0.2)^{1}.(0.8)^{15} = 0.1126$

$P(X = 2) = C_{16,2}.(0.2)^{2}.(0.8)^{14} = 0.2111$

$P(X = 3) = C_{16,3}.(0.2)^{3}.(0.8)^{13} = 0.2463$

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0281 + 0.1126 + 0.2111 + 0.2463 = 0.5981$

0.5981 = 59.81% probability that three or less of the selected adults have saved nothing for retirement

4 0

3 years ago

What is the base of the exponential function?

jeka94

Answer:

the answer might be 0.86 I don't know though

4 0

2 years ago

Ryan took out a 66 month loan to pay for a 28500 car.if he paid 33829.50,in total at the end of the loan,find the interest rate

professor190 [17]

9514 1404 393

Answer:

3.4%

Step-by-step explanation:

The total amount due is ...

A = P(1 +rt/12) . . . . . principal P, annual rate r, t months

33829.50 = 28500(1 +66/12r)

1.187 = 1 +5.5r . . . . . divide by 28500, simplify

0.185/5.5 = r = 0.034 = 3.4%

The interest rate on the loan is 3.4%.

3 0

2 years ago

Data management:<br><br> Find n if <br><br> C ( n+ 2 , 2 ) = 36

Lana71 [14]

Please, Karla, explain what "C" and "n" represent. Are you talking about combinations (for example, n+2 objects taken n at a time? Or is C some kind of function? I don't quite see the relationship of this problem to 'data management.'

3 0

3 years ago