From the question we know that Maria and Josie went to the movies and spent a total amount of money, which should be the price of the tickets added to the price of the snacks.
Knowing that the price of the snacks is $3.75 and the price of the tickets is t, it looks like all that is left is to assign a variable to the total amount of maney they spent at the movies and write out the equation.
If we let the total amount of money they spent be x, then x= t+3.75, whcih should be your answer!
First, we must calculate the weekly pay of an employee that is paid a fixed amount. Given that there are 52 weeks in a year, the weekly pay for a regularly paid employee is:
67,000 / 52 = $1,288.46
Now, we calculate the number of hours an employee that is paid hourly works per week:
0 + 10 + 8 + 8 + 7 + 6.5 + 4.5 = 44
So this employee is paid:
25 x 40 + 37.5 x 4 = $1,150
Therefore, it is recommended that a new employee goes for the salaried pay since the weekly earnings are greater in this option.
The answer is C<span>.</span>
An epic hero must be most couragous than an actual oerson because that is what makes them brave and it gives them the ablitiy to fight
First, you have to find the equation of the perpendicular bisector of this given line.
to do that, you need the slope of the perpendicular line and one point.
Step 1: find the slope of the given line segment. We have the two end points (10, 15) and (-20, 5), so the slope is m=(15-5)/(10-(-20))=1/3
the slope of the perpendicular line is the negative reciprocal of the slope of the given line, m=-3/1=-3
step 2: find the middle point: x=(-20+10)/2=-5, y=(15+5)/2=10 (-5, 10)
so the equation of the perpendicular line in point-slope form is (y-10)=-3(x+5)
now plug in all the given coordinates to the equation to see which pair fits:
(-8, 19): 19-10=9, -3(-8+5)=9, so yes, (-8, 19) is on the perpendicular line.
try the other pairs, you will find that (1,-8) and (-5, 10) fit the equation too. (-5,10) happens to be the midpoint.
Answer:
9.34%
Step-by-step explanation:
p = 4%, or 0.04
n = Sample size = 667
u = Expected value = n * p = 667 * 0.04 = 26.68
SD = Standard deviation = 
= 5.06
Now, the question is if the manager is correct, what is the probability that the proportion of flops in a sample of 667 released films would be greater than 5%?
This statement implies that the p-vlaue of Z when X = 5% * 667 = 33.35
Since,
Z = (X - u) / SD
We have;
Z = (33.35 - 26.68) / 5.06
Z = 1.32
From the Z-table, the p-value of 1.32 is 0.9066
1 - 0.9066 = 0.0934, or 9.34%
Therefore, the probability that the proportion of flops in a sample of 667 released films would be greater than 5% is 9.34%.
