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3 years ago

Question 3(Multiple Choice Worth 5 points)

Mathematics

1 answer:

Oksi-84 [34.3K]3 years ago

7 0

First Equation

STEP 1: Move the variable to the right side and change its sign

3x=8-y

STEP 2: Divide both sides of the equation by 3

x=8/3 - y/3

STEP 3: Write all numerators above the common denominator

x=8-y/3

THE FINAL ANSWER IS:

x=8-y/3

Second Equation

STEP 1: Move variable to the right side and change its sign

-x= -10+2y

STEP 2: Change the signs on both sides of the equation

x=10-2y

THE FINAL ANSWER IS:

x=10-2y

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64 percent rounds to the nearest

Serggg [28]

Tenth have to make answer longer for this app sorry

5 0

3 years ago

A consumer products company is formulating a new shampoo and is interested in foam height (in mm). Foam height is approximately

Genrish500 [490]

Answer:

a) 0.057

b) 0.5234

c) 0.4766

Step-by-step explanation:

To find the p-value if the sample average is 185, we first compute the z-score associated to this value, we use the formula

$z=\frac{\bar x-\mu}{\sigma/\sqrt N}$

where

$\bar x=mean\; of\;the \;sample$

$\mu=mean\; established\; in\; H_0$

$\sigma=standard \; deviation$

N = size of the sample.

So,

$z=\frac{185-175}{20/\sqrt {10}}=1.5811$

$\boxed {z=1.5811}$

As the sample suggests that the real mean could be greater than the established in the null hypothesis, then we are interested in the area under the normal curve to the right of 1.5811 and this would be your p-value.

We compute the area of the normal curve for values to the right of 1.5811 either with a table or with a computer and find that this area is equal to 0.0569 = 0.057 rounded to 3 decimals.

So the p-value is

$\boxed {p=0.057}$

Since the z-score associated to an α value of 0.05 is 1.64 and the z-score of the alternative hypothesis is 1.5811 which is less than 1.64 (z critical), we cannot reject the null, so we are making a Type II error since 175 is not the true mean.

We can compute the probability of such an error following the next steps:

Step 1

Compute $\bar x_{critical}$

$1.64=z_{critical}=\frac{\bar x_{critical}-\mu_0}{\sigma/\sqrt{n}}$

$\frac{\bar x_{critical}-\mu_0}{\sigma/\sqrt{n}}=\frac{\bar x_{critical}-175}{6.3245}=1.64\Rightarrow \bar x_{critical}=185.3721$

So we would make a Type II error if our sample mean is less than 185.3721.

Step 2

Compute the probability that your sample mean is less than 185.3711

$P(\bar x < 185.3711)=P(z< \frac{185.3711-185}{6.3245})=P(z$

So, the probability of making a Type II error is 0.5234 = 52.34%

The power of a hypothesis test is 1 minus the probability of a Type II error. So, the power of the test is

1 - 0.5234 = 0.4766

3 0

3 years ago

Meg and her mother are opening a cupcake shop. They buy an oven, a walk-in cooler, and a decorating table. In terms of factors o

irina1246 [14]

The correct answer is Capital

Entrepreneurship is their business, the land and labor are not it. In here, it is capital because it is their investment that is supposed to pay off and bring them more money.

8 0

3 years ago

Plz Halppp

Zanzabum

Hello!

You read scientific notation by moving the decimal that amount of spaces next the the 10

1.263 * 10^3

You move the decimal over 3 places

1.263 * 10^3 = 1263

The answer is 1.263 * 10^3

Hope this helps!

4 0

3 years ago

Read 2 more answers

i need help asa!! . f(x) = 4x + 6 g(x) = 2x + 10 At what input would both functions produce the same output?

adelina 88 [10]

x = 2

solve 4x + 6 = 2x + 10

subtract 2x from both sides

2x + 6 = 10

subtract 6 from both sides

2x = 10 - 6 = 4

divide both sides by 2

x = $\frac{4}{2}$ = 2

as a check f(2) =(4 × 2 )+ 6 = 14 and g(2) =( 2× 2) + 10 = 14

3 0

3 years ago