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
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Answer:
Sorry if I'm wrong but I'm leaning towards answer D.
Answer:
The distance between points P and Q on this campus map of the local college is 13.038 units
Step-by-step explanation:
We are given that Joanne does a daily walk from building P to building Q

We are supposed to find the distance between points P and Q on this campus map of the local college
We will use distance formula :

Substitute the values in the formula .

Hence the distance between points P and Q on this campus map of the local college is 13.038 units
Answer: 7^17
Step-by-step explanation:
(7^5 * 7^3)^4 = 7^32
7^32 * 7^-2 = 7^30
7^-7 * 7^20 = 7^13
7^30 / 7^13 = 7^17
Look up indices laws to revise this.
Answer: [D]: " 196π in.³ " .
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Explanation:
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Given: radius, "r", equal 7 in.
Given: height, "h", equals 4 in.
Volume: V = Base area * h ;
The base area of a cone is a circle: A = π * r² = π* (7²) = 49π .
(NOTE: Since all answer choices given are in terms of "π" ; we will leave the units in terms of "π").
V = (Based area) * h = (49π in.) * (4 in.) = (49*4)π in.³
= 196π in.³ ; which is: Answer choice: [D] .
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