Here are a few rules with exponents that you need to know:
- Dividing exponents of the same base:
For this, divide:
<u>Your final answer is </u>
Your company has offices in 2 cities. The Denver office has 137 employees with an average salary of $67,013. The Anchorage offic
2 answers:
Alright, lets get started.
The Denver office has 137 employees with an average salary of $67,013.
So the total salay of all employees at Denver office will be =
So the total salay of all employees at Denver office will be = $ 9180781
The Anchorage office has 25 employees with an average salary of $71,332.
So the total salary of employees at Anchorage office will be =
So the total salary of employees at Anchorage office will be = $ 1783300
So, complete total salary of employees at both offices will be =
So, complete total salary of employees at both offices will be = $ 10964081
Total number of employees at both offices are =
So, the average salary of employee across the company =
So, the average salary of employee across the company = 67679.5
Rounding off,
So, the average salary of employee across the company = $ 67680 : Answer
Hope it will help :)
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Answer:
No, there is not enough evidence to support the claim that true average task time with armor is less than 2 seconds.
Step-by-step explanation:
This is a hypothesis test for the population mean.
The claim is that true average task time with armor is less than 2 seconds.
Then, the null and alternative hypothesis are:
The significance level is 0.01.
The sample has a size n=52.
The sample mean is M=1.95.
As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=0.2.
The estimated standard error of the mean is computed using the formula:
Then, we can calculate the t-statistic as:
The degrees of freedom for this sample size are:
This test is a left-tailed test, with 51 degrees of freedom and t=-1.803, so the P-value for this test is calculated as (using a t-table):
As the P-value (0.039) is bigger than the significance level (0.01), the effect is not significant.
The null hypothesis failed to be rejected.
There is not enough evidence to support the claim that true average task time with armor is less than 2 seconds.
To solve this we are going to use the formula fro the force applied to a spring: 
where
is the spring constant
is the extension
Since we know the
, we can replace that in our formula and solve for 
:
where
is the acceleration
is the spring constant
is the extension
is the mass
We know for our problem that
, 
, and 
. So lets replace those values in our formula to find :
We can conclude that the acceleration of the block when s=0.4m is
.
where
Since we know the
where
We know for our problem that
We can conclude that the acceleration of the block when s=0.4m is
Answer:
The minimum cost would be 480$ when Inna works for 8 hours and Jim works for 20 hours.
Step-by-step explanation:
We are given the following information in the question:
Charges for 1 hour for Inna = $15
Number of pages typed by Inna in 1 hour = 6
Charges for 1 hour for Jim = $18
Number of pages typed by Jim in 1 hour = 8
Let x be the number of hours Inna work and let y be the number of hours Jim work.
Total cost =
We have to minimize this cost.
Then, we can write the following inequalities:
The corner points as evaluated from graph are: (8,20) and (24,8)
C(8,20) = 480$
C(24,8) = 504$
Hence, the minimum cost would be 480$ when Inna works for 8 hours and Jim works for 20 hours.
The attached image shows the graph.
