Find the Area of the Trapezoid below *

Find f(3) given that f(3) = -x^4 + 3x^3 + x^2 - 8x - 16.

Hitman42 [59]

Answer: -31

<u>Step-by-step explanation:</u>

f(x) = -x⁴ + 3x³ + x² - 8x - 16

f(3) = -(3)⁴ + 3(3)³ + (3)² - 8(3) - 16

= -81 + 81 + 9 - 24 - 16

= -31

6 0

2 years ago

What is F(7) if (x) = 5x

Law Incorporation [45]

The answer is 35.
........

3 0

3 years ago

Read 2 more answers

9. A group of 14 friends went to a basketball game and paid a total of $70 for their admission tickets. They received a discount

lukranit [14]

the answer is $7

Step-by-step explanation:

70 divided by 14 is 5.

cost would be $5 per person before discount of $2

$5 plus $2 equal $7

p= $7

4 0

3 years ago

Five x plus seven is greater than or equal to 2

Paul [167]

I believe equal to two because 5x+7 do 5X to both sides 7÷5 is 1.4

3 0

3 years ago

Read 2 more answers

In Illinois, 9% of all drivers arrested for DUI (Driving Under the Influence) are repeat offenders; that is, they have been arre

Veseljchak [2.6K]

Answer:

a) 21.58% probability that exactly 3 people are repeat offenders

b) 97.91% probability that at least one person is a repeat offender

c) 3.69

d) 1.83

Step-by-step explanation:

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.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

9% of all drivers arrested for DUI (Driving Under the Influence) are repeat offenders

This means that $p = 0.09$

41 people arrested for DUI in Illinois are selected at random.

This means that $n = 41$

a. What is the probability that exactly 3 people are repeat offenders?

This is P(X = 3).

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

$P(X = 3) = C_{41,3}.(0.09)^{3}.(0.91)^{38} = 0.2158$

21.58% probability that exactly 3 people are repeat offenders

b. What is the probability that at least one person is a repeat offender?

Either none are repeat offenders, or at least one is. The sum of the probabilities of these outcomes is 1. So

$P(X = 0) + P(X \geq 1) = 1$

We want $P(X \geq 1)$ .

Then

$P(X \geq 1) = 1 - P(X = 0)$

In which

$P(X = 0) = C_{41,0}.(0.09)^{0}.(0.91)^{41} = 0.0209$

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0209 = 0.9791$

97.91% probability that at least one person is a repeat offender

c. What is the mean number of repeat offenders?

$E(X) = np = 41*0.09 = 3.69$

d. What is the standard deviation of the number of repeat offenders?

$\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{41*0.09*0.91} = 1.83$

4 0

2 years ago