3. Write an equivalent problem 3.2 1.76 11 3.2 .76

Simplifying the following expression 2x-5(2x-7y+3)+(-8)

sergejj [24]

Answer:

2x-10x+35y-15-8

-8x+35y+(-15-8)

= -8x+35y-23

3 0

3 years ago

Read 2 more answers

The lines shown below are parrel if the green line has a slope of -3/7 what is the slope of the red line

Fofino [41]

Answer:

-3/7

Step-by-step explanation:

If two lines are parallel, it is determined that both of their slopes are the same. In this case, they are and one slope is given so, the other is the same.

5 0

3 years ago

Read 2 more answers

As quality control manager at a raisin manufacturing and packaging plant, you want to ensure that all the boxes of raisins you s

9966 [12]

Answer:

Step-by-step explanation:

The population average number of raisins per box is 30.

The type of statistical analysis to be run here is the inferential statistical analysis and its assumptions include normality, linearity and equality of variance.

Null hypothesis: Average number of raisins per box is 30: u = 30

Alternative hypothesis: Average number of raisins per box is not 30: u ≠ 30

To perform a two tailed single sample test, we have

z statistic = (the sample mean - hypothesized mean) / (SD/√n)

sample mean = 28.05, SD = 3.87 hypothesized mean = 30 n = 36

Thus, we have 28.05 - 30 / (3.87/√36)

= -1.95 / (3.87/6)

= -1.95 / 0.645

= -3.023

we say this is a left tailed test and use the negative z table

where -3.02 = 0.0013

To determine whether the average number of raisins per box differs from the expected 30.

Using p < 0.05, since the observed value 0.0013 is less than 0.05, we conclude the the average number of raisins per box differs from the expected 30.

6 0

4 years ago

Help!!!! Stefanie has 36 eggs. She needs 3 eggs for each omelette she is planning to make. Write an expression that you could us

scoundrel [369]

36 divided by 3 equals 12

5 0

3 years ago

Do you hypotenuse of a triangle is 1 foot more than twice the length of the shorter leg the longer leg is 7 feet longer than the

Lera25 [3.4K]

Answer:

Shorter leg: 8 units

Longer leg: 15 units

Hypotenuse: 17 units

Step-by-step explanation:

We are given $h=1+2s$ where $h$ is the hypotenuse and $s$ is the length of the shorter leg.

We got this equation from reading that the "hypotenuse of a triangle is 1 foot more than twice the length of the shorter leg". I replaced the "hypotenuse of a triangle" with $h$ , "is" with $=$ , "1 foot more than" with $1+$ and finally "twice the length of the shorter leg" with $2s$ .

We also have "longer leg is 7 feet longer than the shorter leg".

I'm going to replace "longer leg" with $L$ .

I'm going to replace "is" with $=$ .

I'm going to replace "7 feet longer than the shorter leg" with $7+s$ .

So we have the equation $L=7+s$ .

So we have a right triangle since something there is a side being referred to as the hypotenuse. We can use Pythagorean Theorem to find a relation between all these sides.

So by Pythagorean Theorem, we have: $s^2+L^2=h^2$ .