Answer:
x = 5
Step-by-step explanation:
7x is a secant- secant angle and has measure equal to half the difference of the intercepted arcs, that is
7x = 0.5(22x + 10 - 50)
7x = 0.5(22x - 40) ← distribute
7x = 11x - 20 ( subtract 11x from both sides )
- 4x = - 20 ( divide both sides by - 4 )
x = 5
What sets are you talking about
Step-by-step explanation:
the probability that the ticket will win you 600 dollars * 1/1500 = 600/1500.
the probability that the ticket will win you 50 dollars is 50 * 5/1500 = 250/1500.
the probability that the ticket will win you 25 dollars is 25 * 20/1500 = 500/1500.
your expected value is -1 + 600/1500 + 250/1500 + 500/1500 = -.1.
the average loss for each dollar that is bet is equal to 10 cents.
hope this helped
Answer:
<em>(8.21, -20.79)</em>
Step-by-step explanation:
Given the simultaneous equation;

From 2;
a = 29 + b ....3
Substitute 3 into 1;

Factorize
b = -18±√18²-4(-58)/2
b = -18±√324+232/2
b = -18±√556/2
b = -18±23.58/2
b = -18-23.58/2 and -18+23.58/2
b = -41.58/2 and 5.58/2
b = -20.79 and 2.79
Since a = 29 + b
when b = -20.79
a = 29 - 20.79
a = 8.21
<em>Hence the solution to the system of equation is (8.21, -20.79)</em>
Answer:
1,79,07,120 ways
Step-by-step explanation:
Ways in which 3 solids can be chosen from 19 solids = 19 c 3
33 striped prints can be chosen from 99 striped prints in 9 c 3 ways
33 floral prints can be chosen from 121 floral prints in 12 c 33 ways
So, total ways = (19 c 3) (9 c 3) (12 c 3)
(969) (84) (220)
1,79,07,120