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3 years ago

Please help me get an answer

Mathematics

1 answer:

balandron [24]3 years ago

3 0

The y intercept in the scatter plot means that at 0 years working, you will get paid $8 per hr. The y intercept can be represented by the ordered pair (0,8). The independent variable is the # of years and the dependent variable is pay per hour.

Hope this helped :)

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The expression f(x) = 12(1.035)* models the monthly growth of membership in the new drama club at a school. According to the fun

olga nikolaevna [1]

Answer:

The monthly growth rate is 3.5%.

Step-by-step explanation:

The exponential growth function is given as follows:

$y=a(1+r)^{x}$

Here,

y = final value

a = initial value

r = growth rate

x = time taken

The provided expression for the monthly growth of membership in the new drama club at a school is:

$f(x) = 12\cdot(1.035)^{x}$

Comparing this function with the exponential growth function:

$a(1+r)^{x}=12(1.035)^{x}\\\\a(1+r)^{x}=12(1+0.035)^{x}$

Then value of r is 0.035 or 3.5%.

Thus, the monthly growth rate is 3.5%.

7 0

3 years ago

The hourly wages earned by 20 employees are shown in the first box and whisker plot below. The person earning $15 per hour quits

serg [7]

I added the plots in the attachments.

Answer:

The mean will decrease

The median will remain the same

Explanation:

1- checking the mean:

Mean of the salaries is calculated as follows:

$Mean = \frac{sum-of-salaries}{number-of-employees}$

Now, we can note that two parameters affect the mean, let's consider each:

a. Number of employees:

We are given that one employee is replaced with another. This means that the number of employees did not change

b. Sum of salaries:

We are given that a person earning $15 left and the new person earns $7. This means that:

New sum of salaries = old sum of salaries - 15 + 7 = old sum of salaries - 8

This means that the sum of salaries decreased by 8

Now, for the mean:

We can conclude that since the numerator decreased while the denominator stayed the same, the mean will decrease

2- checking the median:

In the whisker plots, the median is represented by the vertical line inside the plot.

In the first plot, we can note that the vertical line is nearly half the distance between 9 and 10. This means that, for the first plot, the median is approximately 9.5

In the second plot, the place of the median is unchanged. It is still approximately midway between 9 and 10 which means that the median in the second plot is approximately 9.5

Therefore, the median of the data remains unchanged.

Hope this helps :)