What values of x make the equation true?

What is the number that has the same absolute value as 81

LenaWriter [7]

The absolute value of -81 has the same absolute value as that of 81 because they both have the same distance to 0.

4 0

3 years ago

The SAT mathematics scores in the state of Florida for this year are approximately normally distributed with a mean of 500 and a

Greeley [361]

<u></u><u>The correct answer is 47.5%, or 0.475.</u>

Explanation:
The empirical rule states that in any normal distribution:

68% of data will fall within 1 standard deviation of the mean;
95% of data will fall within 2 standard deviations of the mean; and
99.7% of data will fall within 3 standard deviations of the mean.

The mean is 500 and the standard deviation is 100. This means that 700 is 2 standard deviations away from the mean:

(700-500)/100=200/100=2.

We know that 95% of data will fall within 2 standard deviations from the mean. However, included in the 95% is data less than the mean and greater than the mean. Since we are only concerned with the scores from 500 to 700, we only want the half that is greater than the mean:

95/2 = 47.5%, or 0.475.

8 0

3 years ago

Read 2 more answers

Ruby conducted a survey and found that 5/6 of her classmates have a pet and 2/3 of them are dogs what fraction of her classmates

lina2011 [118]

This is how I would solve it, I would act as if there were 36 people in the class.
36÷6=6×5=30
30÷3=10×2=20
20/36=10/18=5/9
You could also try another number such as 24;
24×(5÷6)=20
20×(2/3)=13.3(3 repeating)
13.333/24=5/9
5/9 people have dogs.
Tell me if this helps.

7 0

3 years ago

34. For the following exercises, given each set of information, find a linear equation satisfying the conditions, if possible.

skad [1K]

Answer:

The linear equation for the line which passes through the points given as (-1,4) and (5,2), is written in the point-slope form as $y=\frac{1}{3} x-\frac{13}{3}$ .

Step-by-step explanation:

A condition is given that a line passes through the points whose coordinates are (-1,4) and (5,2).

It is asked to find the linear equation which satisfies the given condition.

Step 1 of 3

Determine the slope of the line.

The points through which the line passes are given as (-1,4) and (5,2). Next, the formula for the slope is given as,

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Substitute 2&4 for $y_{2}$ and $y_{1}$ respectively, and $5 \&-1$ for $x_{2}$ and $x_{1}$ respectively in the above formula. Then simplify to get the slope as follows,