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Brrunno [24]
3 years ago
14

In a sample of 138 tables, the average height was found to be 32.6in. with a variance of 2.8. Give a point estimate for the popu

lation variance of the height of the tables. Round your answer to two decimal places, if necessary. Answer
Mathematics
1 answer:
vesna_86 [32]3 years ago
5 0

Answer:

\hat{\sigma}^2 = 2.8  

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 138

Average = 32.6 inch

Population variance,

\sigma^2 = 2.8

We have to find a point estimate for the population variance of the height.

The point estimate for the population variance is the population variance itself.

\hat{\sigma}^2 = \sigma^2 = 2.8

Thus, the point estimate of population variance is the population variance that is 2.8.

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The average income, I, in dollars, of a lawyer with an age of x years is modeled with the following function: I = -425x^2 + 45,5
lord [1]

We are given

The average income, I, in dollars is

I=-425x^2+45500x-650000

(a)

now, we are given

average income is $275000

so, I=275000

now, we can set them equal

and then we can solve for x

275000=-425x^2+45500x-650000

-425x^2+45500x-925000=0

we will have to use quadratic formula

x=\frac{-45500+\sqrt{45500^2-4\left(-425\right)\left(-925000\right)}}{2\left(-425\right)}:\quad \frac{-\sqrt{45500^2-1572500000}+45500}{850}

x=\frac{-45500-\sqrt{45500^2-4\left(-425\right)\left(-925000\right)}}{2\left(-425\right)}:\quad \frac{\sqrt{45500^2-1572500000}+45500}{850}

we get

x=27.28199

x=79.776

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It means that we need to choose smallest value

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(b)

we are given

x=40

so, we can plug it and find I

I=-425(40)^2+45500(40)-650000

I=490000..............Answer

6 0
3 years ago
Q10 Q2.) Find the standard form of the equation of the parabola satisfying the given conditions.
Kipish [7]
Hello!!

Equation forms:

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Therefore, x^2 - 2x + 4y - 13 = 0

And, this is how your graph would look

Good luck :)

8 0
3 years ago
In a right triangle whose area is 12, each leg is as long as the side of a certain square. What is the area of the square?
kakasveta [241]
The area of a Square is 144 because 12x12 is 144 and if both sides are 12 then that equals 144. 

Hope this helps!
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