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AURORKA [14]
3 years ago
12

Solve each inequality. (x – 3)(x - 2)^2 > 0

Mathematics
1 answer:
Rudiy273 years ago
6 0

Answer:

Write it like x>3 instead.

Work:

Solve for  x  by simplifying both sides of the inequality, then isolating the variable.

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Tommy had a rectangular strip of paper that is 21 cm long. If he cuts it into smaller pieces, each 2 1/3 cm long, how many piece
abruzzese [7]

Answer:

The answer is 9.

Explanation: 21÷ 2 1/3= 9

7 0
3 years ago
Read 2 more answers
-18 + 2a = 2(3a + 1)
Nadusha1986 [10]

Answer:

a = -5

Step-by-step explanation:

Given

-18 + 2a = 2(3a + 1)

Expand the bracket on the right

-18 + 2a = 2 x 3a + 2 x 1

-18 + 2a = 6a + 2

Add 18 to both sides

-18 + 18 + 2a = 6a + 2 + 18

2a = 6a + 20

Subtract 6a from both sides

2a - 6a = 6a - 6a + 20

-4a = 20

Divide both sides by -4

-4a/-4 = 20/-4

a = -5

3 0
3 years ago
construct a 90% confidence interval of the population proportion using the giver information x=74 n=150
FrozenT [24]

Answer:

The 90% confidence interval of the population proportion is (0.43, 0.56).

Step-by-step explanation:

The (1 - <em>α</em>)% confidence interval for population proportion <em>p</em> is:

CI=\hat p\pm z_{\alpha/2}\ \sqrt{\frac{\hat p(1-\hat p)}{n}}

The information provided is:

<em>X</em> = 74

<em>n</em> = 150

Confidence level = 90%

Compute the value of sample proportion as follows:

\hat p=\frac{X}{n}=\frac{74}{150}=0.493

Compute the critical value of <em>z</em> for 90% confidence level as follows:

z_{\alpha/2}=z_{0.10/2}=z_{0.05}=1.645

*Use a <em>z</em>-table.

Compute the 90% confidence interval of the population proportion as follows:

CI=\hat p\pm z_{\alpha/2}\ \sqrt{\frac{\hat p(1-\hat p)}{n}}

     =0.493\pm 1.645\times \sqrt{\frac{0.493(1-0.493)}{150}}\\\\=0.493\pm 0.0672\\\\=(0.4258,\ 0.5602)\\\\\approx (0.43,\ 0.56)

Thus, the 90% confidence interval of the population proportion is (0.43, 0.56).

3 0
3 years ago
Find the missing number so that the equation has no solutions.<br> x+20=<br> –<br> 4x+3
valkas [14]

Answer: Its 3x

Step-by-step explanation:

I don't really know how to explain it.

8 0
3 years ago
Juan is painting the floor of an outdoor racquetball court. He knows that 1 gallon of paint will cover the shaded area shown bel
Ahat [919]

Answer:oof Juan is painting the floor of an outdoor racquetball court. He knows that 1 gallon of paint will cover the shaded area shown below. If it takes Juan 3h hours to apply 1 gallon of paint, approximately how many hours will it take him to paint the entire court? Show your work or explain in words.

Step-by-step explanation:

6 0
3 years ago
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