<h2>
Hello!</h2>
The answers is:
The first mechanic's rate is $70 per hour.
The second mechanic's rate is $110 per hour.
<h2>
Why?</h2>
Let's write the given information in order to make the equations that will help us to solve this problem.
Let be "x" the first mechanic's rate and "y" the second mechanic's rate, so:
If the first mechanic worked for 5 hours and the second mechanic worked for 15 hours, and the together charged a total of $2000.
Also, we know that the sum of the two rates was $170 per hour, so:
Then, isolating "x" and replacing it into the first equation, we have:
So, the second mechanic's rate is $110 per hour.
Now, to calculate the first mechanic's rate we need to replace "y" into the second equation:
So, the first mechanic's rate is $70 per hour.
Have a nice day!
Answer:
x = 4
Step-by-step explanation:
(5x+131)° and (5x+19)° are supplementary. Therefore, (5x+19)° + (5x+131)° equals to 180°.
Knowing that, we can do the following:
- (5x+19) + (5x+131) = 180
- 5x + 19 + 5x + 131 = 180
- 10x + 140 = 180
- 10x = 40
- <em>x = 4</em>
The median weight for shelter A is greater than that for shelter B.
The data for shelter B are a symmetric data set.
The interquartile range of shelter A is greater than the interquartile range of shelter B.
Hope this helps :-)
Answer: x < 2
Explanation: To solve for <em>x</em> in this inequality, our goal is the same as it would be if this were an equation, to get <em>x</em> by itself on one side.
Since 3 is being subtracted from <em>x</em>, we add 3
to both sides of the inequality to get <em>x < 2</em>.
Before we graph, write your answer in set notation.
We can write this as {x: x < 2}.
It's important to understand what this means.
This means that any number less than 2 is a solution to this inequality.
I have graphed the inequality for you below.
Start with an open dot on +2.
We use an open dot because +2 is not included as a solution.
Then draw an arrow going to the left.
Answer:
Gets smaller
Step-by-step explanation:
- The standard deviation is the quantification of spread of data. According to descriptive statistics the standard deviation s is given by:
s = Σ ( x - u ) / sqrt ( n )
Where, n : sample size
u : Mean value
- So we see that standard deviation (s) is inversely proportional to square root of sample size (n).
- We can see that as sample size (n) increases the standard deviation (s) decreases.
