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SVETLANKA909090 [29]
1 year ago
14

Solve |2x + 2| = 10

Mathematics
1 answer:
Vladimir [108]1 year ago
5 0

Answer:

x = - 6 , x = 4

Step-by-step explanation:

the absolute value function always gives a positive value but the expression inside can be positive or negative , that is

2x + 2 = 10 or - (2x + 2) = 10

solving both

2x + 2 = 10 ( subtract 2 from both sides )

2x = 8 ( divide both sides by 2 )

x = 4

or

- (2x + 2) = 10

- 2x - 2 = 10 ( add 2 to both sides )

- 2x = 12 ( divide both sides by - 2 )

x = - 6

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4)In order to set rates, an insurance company is trying to estimate the number of sick daysthat full time workers at an auto rep
bagirrra123 [75]

Answer:

A sample of 18 is required.

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 - 0.92}{2} = 0.04

Now, we have to find z in the Z-table as such z has a p-value of 1 - \alpha.

That is z with a pvalue of 1 - 0.04 = 0.96, so Z = 1.88.

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.

A previous study indicated that the standard deviation was 2.2 days.

This means that \sigma = 2.2

How large a sample must be selected if the company wants to be 92% confident that the true mean differs from the sample mean by no more than 1 day?

This is n for which M = 1. So

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

1 = 1.88\frac{2.2}{\sqrt{n}}

\sqrt{n} = 1.88*2.2

(\sqrt{n})^2 = (1.88*2.2)^2

n = 17.1

Rounding up:

A sample of 18 is required.

3 0
3 years ago
WILL MARK BRANLIEST!!!!!! HELP ASAP!!
lubasha [3.4K]

Answer:

5 11/36

Step-by-step explanation:

7 0
3 years ago
How is breaking apart the problem 16x34 like solving four simpler problems?
dedylja [7]
10*30=300
10*4=40
6*30=180
6*4=24
add them up: 300+40+180+24=544
7 0
3 years ago
Tony is making new numbers
KonstantinChe [14]

Answer:

The biggest number he can make is 348. Hope this helps!!!

Step-by-step explanation:

You have to multiply 4 and 7 together to get 28. Since if we multiplied every number together, we would end up with a lesser number, since anything multiplied by 1 is itself. Therefore, you next add 1 to 28 to get 29. Finally multiply 29 by 12 to get 348.

7 0
3 years ago
PLEASE HELP ASAP. Don’t send a link just put the answer. I’ll give brainpower to whoever answers!!!!!
givi [52]

Answer:

d/c = 8

Step-by-step explanation:

f(x) = 5.4321×2^×

f(4) = 5.4321×2^4 = d

f(1) = 5.4321×2^1 = c

d/c = (5.4321×2^4)/(5.4321×2^1) = 2^3 = 8

6 0
2 years ago
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