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3 years ago

What is the equation of a line that models wages with a slope of 15 that passes through the point (5, 90)?

Mathematics

1 answer:

Klio2033 [76]3 years ago

3 0

Hello :
<span>the equation is :
y - 90 = 15(x - 5)</span>

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The cost,C, of grapes varies directly as the weight, w, of the grapes in pounds. Wendy pays $3.36 for 1.2 pounds of grapes. At t

Dafna1 [17]

I think she is gonna have to pay $14 because if you divide the number it costs by the number of pounds she bought, you get the price per pound. Not sure though.

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3 years ago

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The probability that a randomly selected box of a certain type of cereal has a particular prize is 0.20.

MatroZZZ [7]

Answer:

a) the probability is 0.0734 (7.34%)

b) the probability is 0.7382 (73.82%)

c) 10 boxes

Step-by-step explanation:

Since each box is independent of the others and defining the random variable X= number of boxes of cereal purchased without prices until having 2 prices , then X has a negative binomial distribution . Thus

P(X=k)= C(k+r-1,k)*p^k *(1-p)^r

where

p= probability to not obtain a price when a box is purchased = 1- 0.2 = 0.8

C ( ) = combinations

k = number of boxes without prices

r= number of boxes with prices=2

P(X=k) = probability of purchasing k boxes without prices until obtaining r boxes with prices

a) for k= 8 - r = 6

P(X=6)= C(7,6)*0.8^6*0.2^2 = 7*0.8^6*0.2^2 = 0.0734 (7.34%)

b) for k≥9-2=7

P(X≥7) = 1- P(X<7)= 1- Fn(X=7)

where Fn(X) is the cumulative negative binomial distribution. We can calculate it through its relationship with the cumulative binomial distribution Fb(X) that is easily found in tables :

Fn(k=7,r=2,p=0.8) = Fb(k=7,n=k+r=9,p=0.8) = 0.2618

thus

P(X≥7) = 1- P(X<7)= 1- Fn(X=7) = 1- 0.2618 = 0.7382 (73.82%)

c) the expected value E(X) for a negative binomial distribution is

E(X)= p*r/(1-p) = 0.8*2/0.2 = 8 boxes that do not contain prices

thus

n=k+r = 8 + 2 = 10 boxes

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4 years ago

The art teacher mixed 1/3 oz of red paint with 3/4 oz of blue paint to make purple paint. To make more of the same purple paint,

Sedbober [7]

Answer:

8/9 sorry if wrong

Step-by-step explanation:

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3 years ago

PLEASE HURRYmy question is in the picture

Andreyy89

The answer t our question is the first one
I just substituted he number one in every x
The original equation is equal to 147 when x equals to 1
And the first option is also equal to 147 when x equals to one

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3 years ago

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Solve the problem:

stepan [7]

volume of the box is 675 cubic inches

A machine produces open boxes using square sheets of plastic.

It is a square sheet so length and width are same

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The machine cuts equal-sized squares measuring 3 inches on a side from each corner of the sheet.

After turning up the sides the height of the box becomes 3 inches

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