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4 years ago

Show that f(x)=πx-2 and f-1(x)=(x+2/π) are inverse functions of one another

1 answer:

5 0

They are not inverse functions of one another. For f(x) and g(x) to be inverses of each other, f(g(x)) = x. In this case, pi(x+2/pi)-2 = pi* x, which is not x.

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A researcher wishes to conduct a study of the color preferences of new car buyers. Suppose that 50% of this population prefers t

Thepotemich [5.8K]

Answer:

The probability that exactly 12 buyers would prefer green

=0.00555

Step-by-step explanation:

We are given that

p=50%=50/100=0.50

n=14

We have to find the probability that exactly 12 buyers would prefer green.

q=1-p

q=1-0.50=0.50

Using binomial distribution formula

$P(X=x)=nC_r p^r q^{n-r}$

$P(x=12)=14C_{12}(0.50)^{12}(0.50)^{14-12}$

$P(x=12)=14C_{12}(0.50)^{12}(0.50)^2$

$P(x=12)=14C_{12}(0.50)^{14}$

$P(x=12)=\frac{14!}{12!2!}(0.50)^{14}$

$P(x=12)=\frac{14\times 13\times 12!}{12!2\times 1}(0.50)^{14}$

$P(x=12)=91\cdot (0.50)^{14}$

$P(x=12)=0.00555$

Hence, the probability that exactly 12 buyers would prefer green

=0.00555

3 0

3 years ago

What is the sum of 2/10 and 9/100

zhannawk [14.2K]

First we need to find a common denominator

$\frac{2}{10}$ = $\frac{20}{100}$
now we can add them

$\frac{20}{100}$ + $\frac{9}{100}$ = $\frac{29}{100}$

5 0

3 years ago

Read 2 more answers

Need this very badly

Fofino [41]

Can u show us how the location looks please?

7 0

3 years ago

A multiple choice exam has ten questions. Each question has five possible answers, of which one is correct. Suppose that a stude

Ber [7]

Answer:

8.81% probability that the student answers exactly 4 questions correctly

Step-by-step explanation:

For each question, there are only two possible outcomes. Either he answers it correctly, or he does not. The probability of answering a question correctly is independent of other questions. So we use the binomial probability distribution 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.

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