$137.60 (gross pay)
$10.53 (FICA)
$13.18 (Federal Tax)
$9.81 (State Tax)
---------------------------------
$103.78 (Net Pay)
$77.84 (Deposit)
---------------------------------
$25.94 (To You)
$38.92 (To Savings)
For the answer to the question above, when you carry your jewelry box or your phone 3 floors down
and 2 miles to the left, the angles and side lengths don't change,
and it still looks exactly the same as it did before you picked it up
and moved it.
Translation can't change angles or lengths. And if those don't
change, then the later shape is congruent to the earlier shape.
Sample response: <span>Yes, the fan will provide enough airflow. The volume of the ranger station is 720 cubic feet. The ranger station requires a 720 CFM fan. 1,500 CFM is greater than 720 CFM, so it will be enough airflow.</span>
The first thing we must do for this case is to define a variable:
x: number of years
y: total salary
We have then:
For first company:
y = 1500x + 31000
For second company:
y = 2000x + 28500
Equaling both equations we have:
1500x + 31000 = 2000x + 28500
Clearing x:
2000x - 1500x = 31000 - 28500
500x = 2500
x = 2500/500
x = 5
Answer:
It will take for the salaries to be the same about:
x = 5 years
For a probability distribution the expected value is the summation of product of probabilities with their respective data values. Let x be the probability that Jackson goes gym for 2 days and y be the probability that he goes gym for 3 days.
For the given case we have following values and their probabilities:
0 : 0.1
2 : x
3 : y
So the expected value will be = 0(0.1) + 2(x) + 3(y)
Expected value is given to be 2.05. So we can write the equation as:
2x + 3y = 2.05 (Equation 1)
Also for a probability distribution, the sum of probabilities must always equal to 1. So we can set up the second equation as:
0.1 + x + y = 1
x + y = 0.9 (Equation 2)
From Equation 2 we can write the value of x to be x = 0.9 - y. Using this value in equation 1, we get:
2(0.9 - y) + 3y = 2.05
1.8 - 2y + 3y = 2.05
1.8 + y = 2.05
y = 0.25
Using the value of y in equation 2 we get value of x to be 0.65
Therefore we can conclude that:
The probability that Jackson goes to gym for 2 days is 0.65 and the probability that he goes to gym for 3 days is 0.25
