How do you solve 6n = 30

17. Evaluate each pair of expressions.<br> a. (-3)-8 and -3-8<br> b. (-3)-9 and -3-9

Semmy [17]

A = -11
B= -12

This is because of how calculations work in negatives. Because they are both negative they work similarly to addition

5 0

3 years ago

Please provide the answer?

Brums [2.3K]

Using the given table:

a) the average rate of change is 32.5 jobs/year.

b) the average rate of change is 12.5 jobs/year.

<h3>How to find the average rate of change?</h3>

For a function f(x), the average rate of change on an interval [a, b] is:

$\frac{f(b) - f(a)}{b - a}$

a) The average rate of change between 1997 and 1999 is:

$A = \frac{695 - 630}{1999 - 1997} = 32.5$

So the average rate of change is 32.5 jobs/year.

b) Now the interval is 1999 to 2001.

The rate this time is:

$A ' = \frac{720 - 695}{2001 - 1999} = 12.5$

So the average rate of change is 12.5 jobs/year.

If you want to learn more about average rates of change:

brainly.com/question/8728504

#SPJ1

3 0

1 year ago

The average score of all pro golfers for a particular course has a mean of 70 and a standard deviation of 3.0 (Think of these as

bija089 [108]

Answer:

0.477 is the probability that the average score of the 36 golfers was between 70 and 71.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 70

Standard Deviation, σ = 3

Sample size, n = 36

Let the average score of all pro golfers follow a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

P(score of the 36 golfers was between 70 and 71)

$\text{Standard error of sampling} = \displaystyle\frac{\sigma}{\sqrt{n}} = \frac{3}{\sqrt{36}} = \frac{1}{2}$

$P(70 \leq x \leq 71) = P(\displaystyle\frac{70 - 70}{\frac{3}{\sqrt{36}}} \leq z \leq \displaystyle\frac{71-70}{\frac{3}{\sqrt{36}}}) = P(0 \leq z \leq 2)\\\\= P(z \leq 2) - P(z \leq 0)\\= 0.977 - 0.500 = 0.477= 47.7\%$

$P(70 \leq x \leq 71) = 47.7\%$

0.477 is the probability that the average score of the 36 golfers was between 70 and 71.

8 0

3 years ago

A college professor reports that students who finish exams early tend to get better grades than students who hold on to exams un

s344n2d4d5 [400]

Answer:

The correlation between exam score and amount of time spent on the exam is an example of a <u>negative correlation</u>.

Step-by-step explanation:

Consider the provided statement.

College professor reports that students who finish exams early tend to get better grades than students who hold on to exams until the last possible moment.

That means the student who finish the exam early will get the highest marks. One who finish after the first student will get second highest mark and the one who finish in the end will get the least marks.

Now consider time as first variable and marks as second variable.

That means as the first variable increase the second variable decreases.

According to the definition of Negative correlation: It is a relationship between two variables in which one variable increases as the other decreases, and vice versa.

Hence, the correct answer is negative correlation.

7 0

3 years ago

How much is the percent change if the price was $75 and now it is $300?

ale4655 [162]

Answer:

300 percent change

Step-by-step explanation:

300 is 400 percent of 75.(75x4 is 300.) Therefore, the percent change is

400 - 100 = 300.

6 0

3 years ago