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Basile [38]
3 years ago
5

If y varies directly as x, what is the value of y in these ordered pairs? (8, 4) and (4, y)

Mathematics
1 answer:
soldi70 [24.7K]3 years ago
6 0
So if we see the first one (8,4) x=8 and y=4

And we see the 2nd one (4,y)  x=4 and y=?

We notice that the value of x its been halved. So y varies with x so y value also has to be halved so y= 2
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Answer:

a)= 2

b) 6.324

c) P= 0.1217

Step-by-step explanation:

a) The mean of the sampling distribution of X`1- X`2 denoted by ux`-x` = u1-u2 is equal to the difference between population means i.e = 2 ( given in the question)

b) The standard deviation of the sampling distribution of X`1- X`2 ( standard error of X`1- X`2) denoted by σ_X`1- X`2 is given by

σ_X`1- X`2 = √σ²/n1 +σ²/n2

Var ( X`1- X`2) = Var X`1 + Var X`2 =  σ²/n1 +σ²/n2

so

σ_X`1- X`2 =√20 +20 = 6.324

if the populations are normal the sampling distribution X`1- X`2 , regardless of sample sizes , will be normal with mean u1-u2 and variance σ²/n1 +σ²/n2.

Where as Z is normally distributed with mean zero and unit variance.

If we take X`1- X`2= 0 and u1-u2= 2  and standard deviation of the sampling distribution = 6.324 then

Z= 0-2/ 6.342= -0.31625

P(-0.31625<z<0)= 0.1217

The probability would be 0.1217

8 0
2 years ago
Marshall can buy 5 T-shirts for $55.
Stells [14]

Answer:

$33

Step-by-step explanation:

55 divided by 5 is 11, so each shirt costs $11. So that means 3 shirts would be $33.

4 0
3 years ago
Read 2 more answers
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antoniya [11.8K]
The answer is 7.14% 

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Answer:

45Y + 13Y equals 58Y is the answer

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Answer:

9/5

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The scale factor is what do we multiply A by to get B

Take the ratio of B/A

18/10

9/5

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