Answer:
Only 4 different 3 topping pizzas are possible.
The probability of winning exactly 21 times is:-0.32
Given,
The probability of winning on an arcade game, p = 0.659
Number of times you play arcade game, n = 30
By assuming this as a normal distribution, we get
Mean=μ=30×0.659 =19.77
Standard deviation, σ = 
= 
≈ 2.60
Let X be a binomial variable
Then, the z score for x = 21 will be:
z = (x - μ) / σ = 
≈ 0.47
Now, the probability of winning exactly 21 times
P (x ≥ z) = P (21 ≥ 0.47) = 0.32
Hence the probability of winning exactly 21 times is 0.32
Learn more about probability here:-brainly.com/question/13067945
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3(x+5)=8x~~~First we distribute (we multiply 3 by x and 3 by 5)
3x+15=8x~~~Remove 3x from both sides
-3x -3x
15=5x~~~~Turn this equation around so x is on the other side
5x=15~~~Divide by 5x
÷5x ÷5x
x=3
Answer:
r= RE/I
Step-by-step explanation:
E=I(R+r)
divide both sides by I
E/I = R+r
subtract both sides by R
R(E/I) = r
r = RE/I
Answer:
a) 105 degrees
b) 75
c) 105
Step-by-step explanation:
a) 180-75 is 105 (supplementary angles)
b) same angle as kings ave and 4th street. (supplementary angles)
c) 180-75 is 105 (also vertical angle rule)