The absolute value of a number is the distance from point to the origin. Since Paula is located at a position of −12 feet relative to the ground, then the distance from point -12 on the number line to the origin is 12 (distance cannot be negative).

Thus, |-12|=12 and Paula is at a distance of 12 feet.

Answer: correct choice is C

3 0

2 years ago

9 divided by 204 show your work

andrew-mc [135]

Dude, you could just use a calculator but the answer is 51.

6 0

3 years ago

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An international polling agency estimates that 36 percent of adults from Country X were first married between the ages of 18 and

alukav5142 [94]

Answer:

(B) 0.2843

Step-by-step explanation:

Let d be the difference in proportions from Country X and Country Y who were first married between the ages of 18 and 32.

Then hypotheses are

$H_{0}$ : d=0.15

$H_{a}$ : d<0.15

Test statistic can be found using the equation

$z=\frac{p1-p2-0.15}{\sqrt{{p*(1-p)*(\frac{1}{n1} +\frac{1}{n2}) }}}$ where

p1 is the sample proportion of Country X (0.36)

p2 is the sample proportion of Country Y (0.26)

p is the pool proportion of p1 and p2 ( $\frac{60*0.36+50*0.26}{50+60}=0.31$ )

n1 is the sample size of adults from Country X (60)

n2 is the sample size of adults from Country Y (50)

Then $z=\frac{0.36-0.26-0.15}{\sqrt{{0.31*0.69*(\frac{1}{60} +\frac{1}{50}) }}}$ ≈ 0.5646

p-value of test statistic is ≈ 0.2843

p-value states the probability that the difference in proportions between a random sample of 60 adults from Country X and a random sample of 50 adults from Country Y who were first married between the ages of 18 and 32 is at least 0.15

3 0

2 years ago

What is pi to 2 decimal places. Will give brainliest

Anni [7]

3.14 my good sir.
hope this helps.

3 0

2 years ago

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