Answer:
Step-by-step explanation:
In other words, carl's losing odds are 7 : 5, so his winning odds will be 5 : 7
So if they play (7+5=12) 12 times, carl will win 5 times.
To find probability that carl will beat his friend, we take the probability of Carl winning. Simple!
The probability is 5/ 12
Answer:
50 degrees
Step-by-step explanation:
The 40⁰ angle is bisecting a right, or 90⁰ angle. The total of angles f and 40⁰ = 90⁰
f + 40⁰ = 90⁰
f = 50⁰
Three unknowns requires three equations to solve . . .
1) n + d + q = 30
2) d = 2n
3) (0.05)n + (0.10)d + (0.25)q = 5.50
* plug 2) into 1) and solve for q
n + 2n + q = 30
3n + q = 30
q = 30 - 3n
* now we have variables d and q expressed in terms of n, so we plug those equations into 3) and solve for n . . .
0.05n + 0.10(2n) + 0.25(30 - 3n) = 5.50
0.05n + 0.20n + 7.50 - 0.75n = 5.50
(0.05 + 0.20 - 0.75)n + 7.50 = 5.50
-0.50n + 7.50 = 5.50
-0.50n = 5.50 - 7.50
-0.50n = -2.00
n = -2.00/-0.50 = 4
d = 2n = 2(4) = 8
q = 30 - 3n = 30 - 3(4) = 30 - 12 = 18
The answer is . . .
n = 4 nickels
d = 8 dimes
q = 18 quarters
. . . for a total of (4 + 8 + 18) = 30 coins
. . . 8 dimes is twice 4 nickels
. . . $0.05(4) + $0.10(8) + $0.25(18) = $5.50
Answer:
2
Step-by-step explanation:
