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liraira [26]
3 years ago
10

Solve this equation -2x + 8 = 22

Mathematics
1 answer:
hichkok12 [17]3 years ago
8 0

I got you :)

-2x + 8 = 22

Subtract 8 from both sides....

-2x = 14    Divide by 2 on both sides....

<h2><u>x = -7</u></h2>

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Find the slope of the line passing through each pair of points.
Klio2033 [76]

Answer:

you have to use the slope equation, which is (y2-y1) / (x2-x1)

3. (5-0)/(1 -(-8))

5/1+8

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6. (-2-8)/(1-0.5)

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7. (7-(-1))/ (4-4)

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the slope is undefined

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3 years ago
3. Connor works part-time at Tom Thumb. On Wednesday, Thursday and Friday, he
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An employee shreds 341 pages in 11 minutes of work. How many pages will she shred in 20 minutes?
gavmur [86]

We have been given that an employee shreds 341 pages in 11 minutes of work.

First of all we will divide 341 by 11 to find number of pages shred by employee in one minute.

\text{Pages shred by employee in one minute}=\frac{341}{11}=31

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6 0
3 years ago
Please someone help me
Yuki888 [10]

Answer: H

Step-by-step explanation:

We can see this rectangular prism will have side lengths of 5, 3, 7.

So we can use the fact Surface Area = 2(lh+wh+lw) to get:

2(15 + 35 + 21) = 2(71) = 142

5 0
2 years ago
An article in Fire Technology investigated two different foam-expanding agents that can be used in the nozzles of firefighting s
UNO [17]

Answer:

Step-by-step explanation:

Hello!

The objective of this experiment is to test if two different foam-expanding agents have the same foam expansion capacity

Sample 1 (aqueous film forming foam)

n₁= 5

X[bar]₁= 4.7

S₁= 0.6

Sample 2 (alcohol-type concentrates )

n₂= 5

X[bar]₂= 6.8

S₂= 0.8

Both variables have a normal distribution and σ₁²= σ₂²= σ²= ?

The statistic to use to make the estimation and the hypothesis test is the t-statistic for independent samples.:

t= \frac{(X[bar]_1 - X[bar]_2) - (mu_1 - mu_2)}{Sa*\sqrt{\frac{1}{n_1} + \frac{1}{n_2 } } }

a) 95% CI

(X[bar]_1 - X[bar]_2) ± t_{n_1 + n_2 - 2}*Sa* \sqrt{\frac{1}{n_1}+\frac{1}{n_2} }

Sa²= \frac{(n_1-1)S_1^2 + (n_2-1)S_2^2}{n_1 + n_2 - 2}= \frac{(5-1)0.36 + (5-1)0.64}{5 + 5 - 2}= 0.5

Sa= 0.707ç

t_{n_1 + n_2 -2: 1 - \alpha /2} = t_{8; 0.975} = 2.306

(4.7-6.9) ± 2.306* (0.707\sqrt{\frac{1}{5}+\frac{1}{5} })

[-4.78; 0.38]

With a 95% confidence level you expect that the interval [-4.78; 0.38] will contain the population mean of the expansion capacity of both agents.

b.

The hypothesis is:

H₀: μ₁ - μ₂= 0

H₁: μ₁ - μ₂≠ 0

α: 0.05

The interval contains the cero, so the decision is to reject the null hypothesis.

<u>Complete question</u>

a. Find a 95% confidence interval on the difference in mean foam expansion of these two agents.

b. Based on the confidence interval, is there evidence to support the claim that there is no difference in mean foam expansion of these two agents?

8 0
3 years ago
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