Write the equation of the line in slope intercept form. (Algebra 2) Thanks in advance.

4) Let A = {7, 8, 9, 10, 11, 12), B = {9, 11, 13), C = {7, 8, 10, 12), D = {7, 12), and U = {7, 8, 9, 10, 11, 12, 13). 4) Вас A)

Elenna [48]

It is true as A consist {7,8,9,10,11,12} and B consists of{9,11,13} and C consist of {7,8,10,12} and D has{7,12} there are the set of numbers from 7 to 13 only so the answer is true that U={7,8,9,10,11,12,13}.

6 0

3 years ago

If 600 students at the school took the SAT, how many scored in the 701 to 1000 range?

-Dominant- [34]

Answer:

I think your answer would be 204

Step-by-step explanation:

34% of 600 is 204

7 0

3 years ago

Find the difference.<br><br> (−x2+9xy)−(x2+6xy−8y2)

VLD [36.1K]

Answer:

-2 $x^{2}$ +3xy+8 $y^{2}$

Step-by-step explanation:

4 0

3 years ago

Using traditional methods it takes 92 hours to receive an advanced flying license. A new training technique using Computer Aided

DanielleElmas [232]

Answer:

The value of the test statistic is z = 1.39.

The p-value of the test is 0.0823 > 0.05, which means that there is not evidence at the 0.05 level that the technique lengthens the training time.

Step-by-step explanation:

Using traditional methods it takes 92 hours to receive an advanced flying license.

This means that at the null hypothesis, it is tested if the mean is of 92, that is:

$H_0: \mu = 92$

Test if there is evidence that the technique lengthens the training time

At the alternative hypothesis, it is tested if the mean is more than 92, that is:

$H_1: \mu > 92$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

92 is tested at the null hypothesis:

This means that $\mu = 92$

A researcher used the technique on 70 students and observed that they had a mean of 93 hours. Assume the population variance is known to be 36.

This means that $n = 70, X = 93, \sigma = \sqrt{36} = 6$

Value of the test statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{93 - 92}{\frac{6}{\sqrt{70}}}$

$z = 1.39$

The value of the test statistic is z = 1.39.

P-value of the test and decision:

The p-value of the test is the probability of finding a sample mean above 93, which is 1 subtracted by the p-value of z = 1.39.

Looking at the z-table, z = 1.39 has a p-value of 0.9177.

1 - 0.9177 = 0.0823.

The p-value of the test is 0.0823 > 0.05, which means that there is not evidence at the 0.05 level that the technique lengthens the training time.

8 0

3 years ago

Which equivalent four-term polynomial can be created using the X method? x2 8x 8x 48 x2 – 12x – 4x 48 x2 12x 4x 48 x2 – 8x – 8x

Lerok [7]

Polynomial are expressions. The equivalent four-term polynomial of x²+16x+48 is x²+12x+4x+48.

<h3>What are polynomial?</h3>

Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.

In order to find the equivalent four-term polynomial of the given quadratic equation, we will break constant b(16) into two parts such that the sum of the parts is 16, while their product is equal to the product of the constant a(1) and c(48).

Therefore, the solution of the polynomial is,

$x^2+ 16x+48\\\\ = x^2 + 12x+4x+48$

Hence, the equivalent four-term polynomial of x²+16x+48 is x²+12x+4x+48.

Learn more about Polynomial:

brainly.com/question/17822016

7 0

3 years ago