Answer:
12
Step-by-step explanation:
5^2 + p^2 = (p+1)^2
25 + p^2 = p^2 + 2p + 1
25 = 2p + 1
24 = 2p
12 = p
Answer: h= 7/10
Step-by-step explanation:
9(4h - 6 ) = 2(-13 - 2h) Distribute on both sides
9(4h) + 9(-6) = 2(-13) + 2(-2h)
36h - 54 = -26 - 4h Add 4h to both sides
+4h +4h
40h - 54 = -26 Add 54 to both sides
+54 +54
40h = 28 Divide both sides by 40
h = 7/10
Answer:
0.205 ; 0.117 ; 0.999
Step-by-step explanation:
Using binomial probability distribution :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
Probability of success, p = 0.5
P(x = 4) = 10C4 * 0.5^4 * 0.5^6
P(X = 4) = 0.205078125
B.) 3 heads and 7 tails
P(X = 7) = 10C7 * 0.5^7 * 0.5^3
P(X = 7) = 120 * 0.0009765625
P(X = 7) = 0.117
P(atleast one head)
P(x greater than equal to 1) = p(x =1) +... P(x = 10)
Using a binomial probability calculator :
P(x greater than equal to 1) = 0.999
Answer: 1/12
Step-by-step explanation:
Your outcome, 2H, divided by the total size of the output set. Thus gives you probability 1/12
Multiply the probability of Heads P(x=H | coin) = 1/2 . The probability of 2 P(x=2 | Die) = 1/6. Multiply 1/2(1/6) = 1/12.
Answer:
176 miles
Step-by-step explanation:
- you have to know how many 1/4ths are in 2 3/4
- 4×2= 8 +3 = 11 so 11/4ths.
- there are 11 , 1/4ths
- determine the total mileage by multiplying 11 by 16
- 11×16=176
- 176 miles in total