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Katarina [22]
3 years ago
9

What is |2x-16|=10 ?

Mathematics
2 answers:
yuradex [85]3 years ago
8 0

Well, first off, let's just temporarily forget about the absolute value.  All we have is 2x - 16 = 10.  First we solve this.

2x-16=10

Combine like terms

2x=26

Isolate the variable through division

x=13.

Now we remember those absolute value brackets.  When we have an absolute value sign, most of the time it is going to mean that we include the answer you got, and the opposite of that number as well.  So in this case, x doesn't just equal 13, but it also equals -13.

x=13,-13

Hope this helped!

-TTL

antoniya [11.8K]3 years ago
4 0

x=13 or x=3

hope this helps

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Which inequality represents that −14 more than twice a number is no less than 18?
yuradex [85]
-14>2x>18

Hope this helps!
5 0
3 years ago
Joe heard from a reliable source that only 22% of people actually sleep 8 hours or more per night. You do a survey and find 58 o
Juliette [100K]

Answer:

95% Confidence interval:  (31.32%,47.04%)

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 148

Number of people who sleep for 8 hours or longer, x = 58

\hat{p} = \dfrac{x}{n} = \dfrac{58}{148} = 0.3918

95% Confidence interval:

\hat{p}\pm z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

z_{critical}\text{ at}~\alpha_{0.05} = 1.96

Putting the values, we get:

0.3918\pm 1.96(\sqrt{\dfrac{0.3918(1-0.3918)}{148}})\\\\ = 0.3918\pm 0.0786\\\\=(0.3132,0.4704)=(31.32\%,47.04\%)

(31.32%,47.04%)  is the required 95% confidence interval.

8 0
3 years ago
What is 6 as a percent?
mr Goodwill [35]

6 as a percent is 600%.

6 0
3 years ago
What is the area of a parallelogram with a base of 38 meters and a height of 12 meters?
8090 [49]

For this case we have by definition that the area of a parallelogram is given by:

A = b * h

Where:

b: It's the base

h: It's the height

According to the data we have:

b = 38\ m\\h = 12 \ m

Substituting in the formula:

A = 38 * 12\\A = 456

The area of the parallelogram is A = 456 \ m ^ 2

Answer:

A = 456 \ m ^ 2

4 0
4 years ago
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What is the answer for this question?
Savatey [412]

Answer:

A

Step-by-step explanation:

6 0
2 years ago
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