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Sati [7]
4 years ago
11

Amanda uses the equation y = kx to determine how much money (y) she earns after working any number of hours (x). Amanda earned $

350 after working 40 hours. What is the value of k in Amanda’s equation? A) 8.75 B) 40 C) 350 D) 390
Mathematics
2 answers:
qwelly [4]4 years ago
6 0
A is the correct answer
stiks02 [169]4 years ago
5 0
The answer would be A) 8.75 

To solve you substitute the numbers into the equation y=kx
                                                                                        350=40k 
then you would divide and get 8.75
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Step-by-step explanation:

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The net weight in pounds of a packaged chemical herbicide is uniform for 49.62 < x < 50.04 pounds.
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Answer:

a) E(X)=\frac{50.64+49.62}{2}=50.13 pounds

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c) P(X

But we see that the distribution is defined ust between 49.62 and 50.04

And in order to find this we can use the CDF (Cumulative distribution function) given by:

F(X) =\frac{x-a}{b-a}

And if we replace we got:

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And makes sense since all the values are between 49.62 and 50.04

Step-by-step explanation:

For this case we define the random variable X ="net weigth in pounds of a packaged chemical herbicide" and the distribution for X is given by:

X \sim U(a= 49.62, b=50.04)

Part a

For the uniform distribution the expected value is given by E(X) =\frac{a+b}{2} where X is the random variable, and a,b represent the limits for the distribution. If we apply this for our case we got:

E(X)=\frac{50.64+49.62}{2}=50.13 pounds

Part b

The variance for an uniform distribution is given by:

Var(X)= \frac{(b-a)^2}{12}

And if we replace we got:

Var(X)= \frac{(b-a)^2}{12} =\frac{(50.04-49.62)^2}{12}=0.0147

Part c

For this case we want to find this probability:

P(X

But we see that the distribution is defined ust between 49.62 and 50.04

And in order to find this we can use the CDF (Cumulative distribution function) given by:

F(X) =\frac{x-a}{b-a}

And if we replace we got:

P(X

And makes sense since all the values are between 49.62 and 50.04

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I don’t know why the answer is in decimal as mostly it won’t be. Maybe you have made a mistake with the question so pls do check the question too!

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Step-by-step explanation:

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