Answer:
31.89%
Step-by-step explanation:
This situation can be modeled with the Negative Binomial Distribution, where <em>the probability of having r “failures” before k “successes” occur is given by</em>
<em>being p the probability that a “success” occurs.</em>
is the number of combinations of m elements taken n at a time.
In the specific case of this problem we have “success” is having a copy with a defect, with probability 0.1, k=1 and r=6 (6 “failures” before 1 “success”).
Computing the formula either by hand or with a computer, we get
Answer:
x = 10
Step-by-step explanation:
cos 45 = 5
/ x
x = 5 / cos 45, cos 45 = / 2
x = 10
Answer:
Each bag of pretzels costs $1.75
Step-by-step explanation:
Let the cost of 1 box of popcorn be $x
Let the cost of 1 bag of pretzel be $y
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A customer buys 2 boxes of popcorn and 1 bag of pretzels for $6.75.
cost of 2 box of popcorn =2*$x = $2x
sum of cost 2 boxes of popcorn and 1 bag of pretzels in terms of x and y
2x + y = 6.75 equation A
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Another customer buys 1 box of popcorn and 2 bags of pretzels for $6.00
cost of 2 box of pretzel =2*$y = $2y
sum of cost of 1 box of popcorn and 2 bags of pretzels in terms of x and y
x + 2y = 6 equation B
x = 6 - 2y
substituting this value of x in equation A
2(6 - 2y) + y = 6.75
=> 12 - 4y + y = 6.75
=> -3y = 6.75 - 12 = -5.25
=> y = -5.25/-3 = 1.75
Thus, Each bag of pretzels costs $1.75
90/15=6x4=24 Riley would on average score 24 points.
