Answer:
x = 19
Step-by-step explanation:
(whole secant) x (external part) = (tangent)^2
(x-7+4) * 4 = 8^2
(x-3)*4 = 64
Divide each side by 4
x-3 =16
Add 3 to each side
x-3+3 = 16+3
x = 19
1 topping on the 8$ they will cost the same but the 10$ cost more with aditional toppings unless both pizzas have 5 toppings then the 8$ would cost 50 cents more
M> 1 + m>2 = 90°
x-12 + 5x = 90°
6x - 12 = 90°
6x -12 +12 = 90°+12
6x = 102
6x/6 = 102/6
x = 17
m>1 = x-12
m>1 = 17-12
m>1 = 5
m>2 = 5x
m>2 = 5(17)
m>2 = 85
Answer:
6
Step-by-step explanation:
|-6| = 6
|6| = 6
- -6 = +6
so, we have
6 - 6 + 6 = 6
Answer:
The mathematical expectation of a student who purchases 10 tickets is -$39.65.
Step-by-step explanation:
A student that purchases 10 tickets out of 2900 has a probability of winning the cruise that can be calculated as:

Each ticket cost $5, so he has spent $50 for the 10 tickets.
Then, the expected value of this operation is equal to the expected value of the earnings (probability of winning the prize multiplied by the value of the prize), minus the costs:

The mathematical expectation of a student who purchases 10 tickets is -$39.65.