Answer:
a)

For any integer k between 0 and 15, and 0 for other values of k.
b)

c) P(6 ≤ X ≤ 10) = 0.2737
d) μ = 15*0.75 = 11.25. σ² = 11.25*0.25 = 2.8125
Step-by-step explanation:
X is a binomial random variable with parameters n = 15, p = 0.75. Therefore
a)

For any integer k between 0 and 15, and 0 for other values of k.
b)
P(X>10) = P(X=11) + P(X=12)+ P(X=13)+P(X=14)+P(x=15)





Thus,

c) P(6 ≤ X ≤ 10) = P(X = 6) + P(X = 7) + P(X = 8) + P(X=9) + P(X=10)





Thereofre,

d) μ = n*p = 15*0.75 = 11.25
σ² = np(1-p) = 11.25*0.25 = 2.8125
1. The winner threw the ball 175 ft, so what we want to do now is we convert (175) ft into yd.
We already know that 1ft= 1/3 yd, so the distance in yd is:
175 ft* (1/3 yd/ 1 ft) = 58 1/3 yd.
The answer is A. 58 1/3 yards.
2. 75 min* (4.5 miles/ 15 min)= 22.5 miles.
The correct answer is D. 22.5
3. Let's say that there are 4 weeks in a month. There are 5 weekdays in a week, so the number of weekdays in a month is:
5 weekdays/ 1 week* (4 weeks/ 1 month)= 20 weekdays/ 1 month.
Alex runs 5.9 miles/ 1 weekday, so the number of miles he runs every month is:
(5.9 miles/ 1 weekday)* (20 weekdays/ 1 month)= 118 miles/ month.
The nearest number to 118 is 120, so the answer is D.120 miles
4. 10 sweaters to 8 shirts:
10:8= 10/8= 5/4
The answer is B. 5/4
Hope this would help~
Answer: 
Step-by-step explanation:
Given
Sharmila has
portion of cake
she gave
portion to her brother
The remaining cake is given by

i.e.
portion of cake will remain with her
110% OF 70 is 77( if you meant of as in multiply)
otherwise...I'm sure its 0.77
sorry if its incorrect
hope I was able to help in some way...