What is the solution to the equation x+14=63

The correlation between a car’s engine size and its fuel economy (in mpg) is r = - 0.774.

fgiga [73]

Answer: 59.91%.

Step-by-step explanation:

We know that the fraction of the variability in data values accounted by a model is given by $r^2$ , where r is the coefficient of correlation.

We are given , that the correlation between a car’s engine size and its fuel economy (in mpg) is r = - 0.774.

Then, the fraction of the variability in fuel economy is accounted for by the engine size would be $r^2=( - 0.774)^2=0.599076\approx59.91\%$

[Multiply 100 to convert a decimal into percent]

Hence, the fraction of the variability in fuel economy is accounted for by the engine size is 59.91%.

None of the options are correct.

5 0

3 years ago

An example of dependent events is drawing a red marble out of one jar and then drawing a

sladkih [1.3K]

Answer:

Second Option:

"green marble out of the same jar, without replacing the first marble"

Step-by-step explanation:

Two events r and s are independent if the probability that r occurs does not affect the probability that s occurs.

When choosing an object of some color b from a jar with n objects where there are x objects of the desired color b, the probability of obtaining 1 object of color b when randomly selecting an object from the jar is:

$P_1 =\frac{x}{n}$

If after taking the object it does not return it to the jar (without replacement) then, now the probability of obtaining an object of color b is:

$P_2 = \frac{x-1}{n-1}$ if the one selected in the first trial was the color b.

$P_2 = \frac{x}{n-1}$ if the one selected in the first test was not the color b

Note that now the probability P depends on the result obtained in the previous test.

This event is dependent.

However, if by take object b in the first test, and the object is returned to the jar, and then the second test is made, then

$P_1 = P_2$ .

The probability does not depend on the result of the first trial. The same happens if the objects are taken from different jars.

These would be independent events.

Finally the correct option is the second option.

5 0

3 years ago

Simplify the following radical: 84

Cloud [144]

Answer:

±2√21.

Step-by-step explanation:

First, you break 84 down into √4⋅√21.

That is equal to ±2√21.

Hope I helped! Please mark Brainliest!

3 0

3 years ago

Read 2 more answers

1. The snow pack on Mt. Hood in the Oregon Cascades was 150 inches on

Damm [24]

Answer:

The rate of change is 10%

Step-by-step explanation:

The computation of the rate of change is as follows:

Given that as on Jan 15, the snow pack is 150 inches

And, the last year, it would decrease by 11 inches a week after jan 15

So, the rate of change is

= 15 ÷ 150

= 10%

8 0

2 years ago

Last year my parents had a combined income of 56,000 They paid 13,600 in federal income taxes. What simplified fraction shows ho

koban [17]

Answer:

$\frac{17}{70}$

Step-by-step explanation:

From the information given, you know that your parents paid $13,600 in taxes from their income that was $56,000. The fraction would be:

$\frac{13600}{56000}$

To simplify this, first you can eliminate two zeros at the end of each number:

$\frac{136}{560}$

Now, you can divide both numbers by 8, which will result in:

$\frac{17}{70}$

According to this, the simplified fraction that shows how much your parents spent on their federal taxes is $\frac{17}{70}$ .

5 0

3 years ago