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
Answer:
5th graders = 93 people 6th graders = 156 teachers = 51
Step-by-step explanation:
93 5th graders bought shirts, 156 6th graders bought shirts, 51 teachers bought shirts
Answer: x=5 z=115
Step-by-step explanation:
First, subtract 91 from 180(which is the amount of degrees on the line)
Secondly, subtract 24 from 89(which is the amount of degrees on the x portion
Next, divide 65 (the amount of angles missing after subtracting 24)
Lastly, add 65(for the perpendicular value), then find the difference between 180 and 65 to get to the value of z.
The number or letter to eliminate are 2 and 5
<h3>How to determine the number or letter to eliminate?</h3>
The equation in the question is given as:
y = 2x + 5
Subtract 5 from both sides of the equation
So, we have:
y - 5 = 2x + 5 - 5
Evaluate the like terms
So, we have:
y - 5 = 2x
Notice that the number 5 has been eliminated from the side of x
Next, we divide both sides of the equation by 2.
So, we have:
(y - 5)/2 = 2x/2
Evaluate the quotients
So, we have:
(y - 5)/2 = x
Notice that the number 2 has been eliminated from the side of x
Hence, the number or letter to eliminate are 2 and 5
Read more about equations at:
brainly.com/question/2972832
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