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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Step-by-step explanation:
coefficients is 3
constants are 2 and 7
I think the answer is 5! I hope this helps!!
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Find Monthly Income
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Gross Annually Income = $43 908
Gross Monthly Income = $43 908 ÷ 12
Gross Monthly Income = $3659
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Paycheck deducted for 401k
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6% of $3659
= 0.06 x 3659
= $219.54
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Employer contribution to his 401k
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4% of $2659
= 0.04 x 3659
= $146.36
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Total contribution to his 401k
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$219.54 + $146.36 = $365.90
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Answer: $365.90 (Answer C)
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Answer:
Step-by-step explanation:
A rectangle is a closed planer quadrilateral with four right angles and its opposite sides are the same length. The fence around it including the gates is 200 feet long, so basically they are providing the perimeter of the rectangle. The perimeter of a rectangle is equal to the sum of all its sides. Hence:
The ectangular playground is 40 feet wide, so:
Therefore:
Solving for h:
The area of a rectangle is equal to the product of two of its contiguous sides, hence:
I attached you a picture of the rectangle
