The outcomes on rolling a 5-sided die are : {1,2,3,4,5,6}
The factors of these outcomes are:
1 = 1 x 1
2 = 1 x 2
3 = 1 x 3
4 = 2 x 2
5 = 1 x 5
6 = 2 x 3
1 is not a prime number. So the numbers which have 2 prime factors are 4 and 6.
Thus, number of favorable outcomes = 2
The probability of rolling a number with exactly 2 prime factors = 2/6 = 1/3
Answer:
126°
Step-by-step explanation:
In quadrilateral DSRC, SR || DC (given)
AP = BQ = CR = DS = ET (given)
CR bisects

(
is the measure of an angle of pentagon)

(Measure of interior angles on the same side of transversal)

Answer:

Step-by-step explanation:
Linear function:
A linear function has the following format:

In which m is the slope and b is the q-intercept.
One week you charged $4 per guest and averaged 80 guests per night. The next week you charged $10 per guest and averaged 44 guests per night.
This means that we have these following points: (4,80), (10,44).
Finding the slope:
With a pair of points, the slope is given by the change in q divided by the change in p.
Change in q: 44 - 80 = -36
Change in p: 10 - 4 = 6
Slope: 
So

Finding b:
We replace one of the points. Replacing (4,80).



So

2x+7x=747
9x=747
x=83
83(2) = 166
83(7) = 581