Solar-heat installations successfully reduce the utility bill 60% of the time. What is the probability that at least 9 out of 10 solar-heat installations are successful and will reduce the utility bill? a. 0.0464 b. 0.9432 c. 0.0403 d. 0.8429

P=0.04635.

Step-by-step explanation:

We know that solar-heat installations successfully reduce the utility bill 60% of the time. We calculate the probability that at least 9 out of 10 solar-heat installations are successful and will reduce the utility bill.

We know that: 60%=0.6=p and n=10.

We have a binomial distribution: X : (10, 0.6).

We use the formula to calculate the probability:

We get:

Therefore, the probability is P=0.04635.

ad = ae + ed = y + 7

similar triangles therefor

ac/ab = ad/ae

6/4 = (y + 7) / y

cross multiply

6y = 4(y + 7)

6y = 4y + 28

2y = 28

y = 14

step-by-step explanation: