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igomit [66]
3 years ago
6

An employee at an organic food store is assembling gift baskets for a display. Using wicker baskets, the employee assembled 2 sm

all baskets and 4 large baskets, using a total of 60 pieces of fruit. Using wire baskets, the employee assembled 2 small baskets and 10 large baskets, using a total of 132 pieces of fruit. Assuming that each small basket includes the same amount of fruit, as does every large basket, how many pieces are in each?
The small baskets each include______pieces and the large ones each include_____pieces.
Mathematics
1 answer:
Bingel [31]3 years ago
5 0

Let \: x,  y \: (x,y>0) \: be \: the \: number \: of \: fruits \: the \: small \: and \: large \: baskets \: hold \: respectively \\ We  \: have \:  a \:  system \:  of \:  equations:2x + 4y = 60 \: \wedge \: 2x + 10y = 132 \\ \Leftrightarrow x = 6 \: \wedge \: y = 12 \\ \Rightarrow The  \: small \:  baskets  \: each \:  include  \: 6  \: fruits \\ \Rightarrow The  \: large \: baskets \: each \: include \: 12 \: fruits

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It is known that 10% of adults can pass a fitness test. What notation would be used to describe a count of the number of adults
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Answer:  B. x ~ B(50, .1)

In other words, it's the second answer choice

===========================================================

Explanation:

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The random variable x is the count of how many people pass. So we could have x = 0, x = 1, x = 2, ..., x = 49, x = 50. Basically any whole number from 0 to 50 inclusive. Furthermore, x is approximately modeled by the binomial distribution which we denote as B(n, p) = B(50, 0.1)

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A 50 meter path surrounds a rectangular garden . The width of the garden is two-thirds its length. find its area.
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