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3 years ago

14

Let x be a random variable representing the amount of sleep each adult in New York City got last night. Consider a sampling dist

ribution of a sample means x. A.) As the sample size becomes increasingly large, what distribution does the x distribution approach?

1 answer:

Ivan3 years ago

5 0

Answer:

A normal distribution

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An a adult ticket to the zoo costs $20 and a child’s ticket costs $10.How much will it cost for Mr. and Mrs.Brown and their 4 ch

liubo4ka [24]

Answer:

Step-by-step explanation:

you add 20 for mr brown 20 for mrs brown 10 for kid one 10 for kid 2 ten for kid 3 and 10 for kid for giving you a grand total of 80 dollars

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If you have 24 classmates, how many ways are there for you to choose 4 team mates?

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Find the x-coordinates of the two points on the curve

scZoUnD [109]

Answer: x = {-2, 2}

<u>Step-by-step explanation:</u>

Tangent means it is touching. Find the intersection of the two equations.

Solve the linear equation for y, then set the two equations equal to each other.

$4y=x+8\qquad \rightarrow \qquad y=\dfrac{x+8}{4}$

$\dfrac{x-1}{x}=\dfrac{x+8}{4}\\\\\\\text{Cross multiply and solve for x:}\\4(x-1)=x(x+8)\\4x-4=x^2+8x\\.\qquad 0=x^2+4x+4\\.\qquad 0=(x+2)^2\\.\qquad 0=x+2\\.\qquad x=-2$

To find the next point that is parallel to the linear equation and tangent to the curve, we need to use the linear equation with slope (m) = $\dfrac{1}{4}$ and unknown b.

Let's try b = 0, then the equation of the linear equation is: $y=\dfrac{1}{4}x$

Set the equations equal to each other and solve for x:

$\dfrac{x-1}{x}=\dfrac{x}{4}\\\\\\4(x-1)=x^2\\4x-4=x^2\\.\qquad 0=x^2-4x+4\\.\qquad 0=(x-2)^2\\.\qquad 0=x-2\\.\qquad x=2$

This works!!! If it didn't work, we would have tried other values for b until we arrived at a solution.

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