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klemol [59]
3 years ago
5

the mean household income for a certain state is $71,000 with a standard deviation of $10,000 assuming a normal distribution abo

ut 95% of all households have an income over what amount?​
Mathematics
1 answer:
Vesnalui [34]3 years ago
7 0

Answer:

About 95% of households have an income over $54,550

Step-by-step explanation:

95% is a probability of around 0.95

So we start by calculating the z-score with a probability of 0.95

We can use the standard normal distribution table for this

the z-score is -1.645

Mathematically;

z-score = (x-mean)/SD

-1.645 = (x-71,000)/10,000

10,000 * -1.645 = x-71,000

-16450 = x - 71000

x = 71,000 - 16450

x = 54,550

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a rectangular has an area of 30 square meters and a perimeter of 34 meters what are the dimensions of the rectangle
stellarik [79]
Simple..

For area, it's A=l*w

15*2=30

And, perimeter, it's P=l+l+w+w

15+15+2+2=34

Thus, your answer.

l=15 and w=2,or, w=15 and l=2
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3 years ago
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What is the constant of proportionality of a graph if x equals 3 and y equals 90?
solmaris [256]
y = kx

'k' is the constant of proportionality, or otherwise known as constant of variation. 

y = 90
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90 = k(3)
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3 years ago
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Given the standard form of the equation,solve for y, What is y if x=4?
erik [133]
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3 years ago
Hannah finds purple, blue, and silver space rocks while exploring.
Lisa [10]

Answer:

She has 15 more purple rocks than blue.

Step-by-step explanation:

purple= 2/3 of all rocks

blue= 3/4 of all rocks that aren't purple

silver= 3 (or 1/4 of all rocks that aren't purple)

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-----

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