Answer:
a. Mean = 6
Variance = 2.4
Standard Deviation = 1.55
b. P(X=16) = 0.124
Step-by-step explanation:
Given
n = Total shots = 10
p = Probability of success = 60%
p = 60/100
p= 0.6
q = Probability of failure
q = 1-p
q = 1 - 0.6
q = 0.4
a.
Mean = np
Mean = 10 * 0.6
Mean = 6
Variance = npq
Variance = 10 * 0.6 * 0.4
Variance = 2.4
Standard Deviation = √Variance
Standard Deviation = √2.4
Standard Deviation = 1.549193338482966
Standard Deviation = 1.55 --------- approximated
b.
We have X = 16
x = 10
Assume that the events "success" on the various throws are independent.
The 10th success came on the 16th attempt
So, the player had exactly 10 successes and 6 failures on 16th trial
So Probability = nCr 0.6^10 * 0.4^6
Where n = 15 and r = 9 (number of attempts and success before the 16th trial)
15C9 * 0.6^10 * 0.4^6
= 5005 * 0.0060466176 * 0.004096
= 0.123958563176448
= 0.124 ------ Approximated
Tips = 15.50 - 12.50 = 3.00
Covert the tips to percentage
3 ÷ 12.50 x100% = 24%
It is more than 20%
At age 6, he read six. That doubled would be 12 books. So at age 7, he read 12. 12 doubled is 24. At age 8, he read 24. That doubled would be 48. At age 9, he read 48. That double would be 96. So by age 10, he would have read 96 books.
Answer:
question (1)
height of building = 308 ft
question (2)
cos 67.11 = 7/18
Explanation:
question (1)
Taking a look at the triangle, we can see that it is a right-angled triangle. This means that we can apply the special trigonometric identities.
The one we will use here is:
tan Θ = opposite / adjacent
where:
Θ = 72
the opposite side is the height of the building
the adjacent side = 100 ft
Substitute to get the height as follows:
tan(72) = height / 100
height = tan(72)*100 = 307.76 which is approximately 308 ft
question (2):
We are given that:
cos Θ = 7/18
therefore:
Θ = cos^-1(7/18)
Θ = 67.114
approximating to the nearest tenth, we would find that:
Θ = 67.11°
Hope this helps :)
Answer:
I do not know sorry for taking your points
