What is the measure of ABC?

Use the Rational Zero Theorem to list all possible rational zeros for the given function. f(x) = -2x3 + 4x2 - 2x + 8

Scorpion4ik [409]

Rational zero theorem is all combinations of p(factors of the constant) divided by q(factors of the first coefficient)

factors of 8 are 1, 2, 4, 8
factors of 2 are 1, 2

so all possible rational zeros are all combinations of p/q

+/- 1/1, 1/2, 2/1, 2/2, 4/1, 4/2, 8/1, 8/2

Now there are some repeats in there so you have to leave those out and once we do that we get

+/- 1, 1/2, 2, 4, 8

Remember all those are plus OR minus

6 0

3 years ago

Suppose an article reported that 14% of unmarried couples in the United States are mixed racially or ethnically. Consider the po

Anvisha [2.4K]

Answer: $\mu_{\hat{p}}=0.14$ and $\sigma_{\hat{p}}=0.0347$

Step-by-step explanation:

In sampling distribution of $\hat{p}$ .

The mean and standard deviation of the sampling distribution of p is given by :-

$\mu_{\hat{p}}=p$

$\sigma_{\hat{p}}=\sqrt{\dfrac{p(1-p)}{n}}$ , where p= population proportion and n= sample size.

Let p be the population proportion of unmarried couples in the United States are mixed racially or ethnically.

As per given , we have

n = 100

p= 14% =0.14

Then, the mean and standard deviation of the sampling distribution of p will be :

$\mu_{\hat{p}}=0.14$

$\sigma_{\hat{p}}=\sqrt{\dfrac{0.14(1-0.14)}{100}}$

$\sigma_{\hat{p}}=\sqrt{\dfrac{0.14(0.86)}{100}}$

$\sigma_{\hat{p}}=\sqrt{\dfrac{0.1204}{100}}$

$\sigma_{\hat{p}}=\sqrt{0.001204}$

$\sigma_{\hat{p}}=0.0346987031458\approx0.0347$

Hence, the required answer : $\mu_{\hat{p}}=0.14$ and $\sigma_{\hat{p}}=0.0347$

8 0

3 years ago

Please help em fast I really need help

kozerog [31]

Answer:

f[g(2)] = 50

Step-by-step explanation:

<u>Given functions:</u>

$f(x)=2(x+1)^2$

$g(x)=3x-2$

We are asked to determine f[g(2)], which is known as a composite function. When solving composite functions, you always work inside out.

Step 1: Find the value of g(2) by substituting 2 for x in function g(x).

$\implies g(2)=3(2)-2$

$\\\implies g(2)=6-2\Rightarrow g(2)=\boxed{4}$

Step 2: Substitute the found value into the composite function.

$\\\implies f[g(2)]= 2(4+1)^2$

$\implies f[g(2)] = 2(5)^2 \Rightarrow 2(25) \Rightarrow \boxed{50}$

Hence, the value of the composite function f[g(2)] is 50.

Learn more about composite functions here:

brainly.com/question/28062427

brainly.com/question/26215408

6 0

2 years ago

Read 2 more answers

A basketball player is fouled while attempting to make a basket and receives two free throws. The opposing coach believes there

zzz [600]

Answer:

a)

$P(X = 0) = 0.64$

$P(X = 1) = 0.11$

$P(X = 2) = 0.25$

b) 0.75 = 75% probability that he makes no more than one of the shots

Step-by-step explanation:

We have these following probabilities:

64% = 0.64 probability that he misses both shots, that is, makes none of them.

11% = 0.11 probability that he makes one shot.

25% = 0.25 probability that he makes both shots.

a. Construct the appropriate probability distribution. (Round your answers to 2 decimal places.)

Binomial probability distribution, in which P(X = x) is the probability of making x shots. So

$P(X = 0) = 0.64$

$P(X = 1) = 0.11$

$P(X = 2) = 0.25$

b. What is the probability that he makes no more than one of the shots? (Round your answer to 2 decimal places.)

$P(X \leq 1) = P(X = 0) + P(X = 1) = 0.64 + 0.11 = 0.75$

0.75 = 75% probability that he makes no more than one of the shots

7 0

4 years ago

Can you help me and explain ? thank you !

prisoha [69]

First, you would add 9x to both sides so that you get:

x^2 + 9x + 20 = 0.

Then, you want to factor. You want coefficients of x that add to 9 and have the constants add to 20:

(x + 5) * (x + 4) = 0

The answer is (C).

4 0

3 years ago

Read 2 more answers