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3 years ago

What is the solution set for [-x]=10

1 answer:

6 0

X = -10

Because it is the "absolute value" of "10"

Here's why

-X - 10 = 0, right ?

So, now we have to add a positive 10 to each of our sides to get one step closer to our answer

-X + 10 = 0 ⬅️cancel this
0 + 10 = 10 ⬅️keep this

We can multiply by a negative 1 (-1 )

10(-1) = -10
0(-1) = -0

So that's how we found out that X = -10

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14 less than 8 times a number is 3 more than 4 times the number what is the number?

Anestetic [448]

Answer:

Step-by-step explanation:

8.x-13=3+4.x

8.x-13=7.x

x-13+8=7.x

x-5=7.x

x-x=7+5

x-x=12

x=12

3 0

3 years ago

A researcher would like to estimate p, the proportion of U.S. adults who support recognizing civil unions between gay or lesbian

Minchanka [31]

Answer:

Question 1:

(b) 4,445

Question 2:

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is of:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

Question 1:

We have no previous estimate for the population proportion, so we use $\pi = 0.5$ .

The sample size is n for which M = 0.015. So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.015 = 1.96\sqrt{\frac{0.5*0.5}{n}}$

$0.015\sqrt{n} = 1.96*0.5$

$\sqrt{n} = \frac{1.96*0.5}{0.015}$

$(\sqrt{n})^2 = (\frac{1.96*0.5}{0.015})^2$

$n = 4268$

Samples above this value should be used, and the smaller sample above this value is of 4445, so the answer is given by option b.

Question 2:

Now we find M for which $n = 2222$ .

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$M = 1.96\sqrt{\frac{0.5*0.5}{2222}}$

$M = 0.021$

So 2.1%, and the correct answer is given by option c.

3 0

2 years ago

65% of what number is 78? <br><br> Quick

SOVA2 [1]

Answer:

The answer is 120.

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Can someone helpppp

Dmitry [639]

Yes, I can help what would you like me to do

5 0

3 years ago

-3(6v-4)+6v=-2(v+3) HOW CAN I SIMPLIFY THIS

ddd [48]

Subtract 12 from each side
so it should look like this
-12v=-2v-18
now add 2v to each side
so it should look like this
-10v=-18
now divdie each side by -10
and you should get
v=9/5 or 1 4/5

8 0

3 years ago

Read 2 more answers