8th Grade Math Equation. Please help! I accept any type of help!

Mathematics

1 answer:

muminat4 years ago

5 0

Hello from MrBillDoesMath!

Answer:

Positive x-intercept = + sqrt(3)

Negative x-intercept = - sqrt(3)

Discussion:

Generally, the x-intercept of a function g(x) occurs where g(x) = 0. In our case this is

g(x) = 0 =>

3x^2 - 9 = 0 => (add 9 to both sides of the equation)

3 x^2 = 9 => (divide both sides by 3)

x^2 = 9/3 = 3 =>

x = +\- sqrt (3)

Positive x-intercept = + sqrt(3)

Negative x-intercept = - sqrt(3)

Thank you,

MrB

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Answer:

The hypothesis is:

H₀: $p_{X}-p_{Y}=0$ .

Hₐ: $p_{X}-p_{Y}$ .

Step-by-step explanation:

Let X = number of men who exercise regularly and Y = number of women who exercise regularly.

The information provided is:

$n_{X}=150\\X=88\\n_{Y}=200\\Y=130$

Compute the sample proportion of men and women who exercise regularly as follows:

$\hat p_{X}=\frac{X}{n_{X}}=\frac{88}{150}=0.587$

$\hat p_{Y}=\frac{Y}{n_{Y}}=\frac{130}{200}=0.65$

The random variable X follows a Binomial distribution with parameters n = 150 and $\hat p_{X}=0.587$ .

The random variable Y also follows a Binomial distribution with parameters n = 200 and $\hat p_{Y}=0.65$ .

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

$\hat p=p$