Answer:
They gave away 75 tickets to the listeners and 25 to the employees.
Step-by-step explanation:
If you think about it the function for this would be f(x)=3x+x=100.
3x is the listeners while x is the employees. A simplified version of solving this is doing 100/4 and then 25 times 1 is 25, which is the number of tickets to emplyees.
The events of rolling a 3 or a 5 are disjoint, so

.
Each face has a

probability of occurring, so the event of interest occurs with probability

. The number of times a 3 or 5 is rolled across 288 trials has a binomial distribution,

.
Recall that the expected value of a binomial distribution

is

. So in this experiment, we should expect to witness approximately

instances of rolling a 3 or a 5.
Answer:
6
Step-by-step explanation:
8x+6x+6 = 90
14x = 84
x = 6
You would add the two numbers together
Answer:
119 square centimeters.
Step-by-step explanation:
Write the problem as an equation.
2(2x+3)+2x=48
Where x is width of the rectangle. 2x+3 represents the length.
4x+6+2x=48
6x+6=48
6x=42
x=7
The width is 7 cm. Then, find the length.
(2x+3) Given
(2)(7)+3 Plug in 7 for x
14+3
17
Then, find the area, width*length
17*7=119