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son4ous [18]
3 years ago
5

Solve 2(x-2) = 3(x+2)-8

Mathematics
1 answer:
IgorC [24]3 years ago
7 0

Answer:

x = -2

Step-by-step explanation:

2(x-2) = 3(x+2)-8

Multiply the 2 and 3 out to the numbers in the parentheses. Don't multiply the 3 out to the -8 because it is outside of the parentheses.

2x-4 = 3x+6-8

Combine the 6 and -8

2x-4 = 3x-2

Subtract 2x from both sides

-4 = x-2

Add 2 to both sides

-2=x

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Suppose the population standard deviation is σ = 5 , an SRS of n = 100 is obtained, and the confidence level is chosen to be 98%
beks73 [17]

Answer:

1.165.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.98}{2} = 0.01

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.01 = 0.99, so z = 2.33

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

In this problem, we have that:

\sigma = 5, n = 100. So

M = z*\frac{\sigma}{\sqrt{n}}

M = 2.33*\frac{5}{\sqrt{100}} = 1.165

So the correct answer is:

1.165.

6 0
3 years ago
Simplify (-56) = 7.<br> o<br> O A-8<br> O B. 9<br> O a -9<br> O<br> D. 8
Sever21 [200]

Answer:

Step-by-step explanation:

o=-8

-56=7*(-8)=-56

3 0
2 years ago
An adult blinks about 450 times in 30 minutes. A 12-year-old blinks 150 times in 15 minutes.How many more times does an Adult bl
Scilla [17]

Answer:

1.5 times

Step-by-step explanation:

450=30 minutes

450*2=900=60 minutes

150=15 minutes

150*4=600=60 minutes

900/600=1.5 times

5 0
3 years ago
Read 2 more answers
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WITCHER [35]

Answer:

Step-by-step explanation:

3 0
3 years ago
The scatter plot below shows the relationship between the weekly hours of watching television and the weekly hours spent exercis
BartSMP [9]

Answer: 6 hours; the number of hours students watch television when they do not exercise

Step-by-step explanation:

Given:  The x-axis is labeled hours spent exercising, and the y-axis is labeled hours spent watching TV .

From the given scatter plot and with repect to the given optionsa , a data point is located at x=0 and y=6, which represents the y intercept of the line of best fit.

Here 6 represents 6 hours; the number of hours students watch television when they do not exercise. [since x=0]

8 0
3 years ago
Read 2 more answers
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