Asked what the central limit theorem says, a student replies, As you take larger and larger samples from a population, the histogram of the sample values looks more and more Normal.Is the student right?

A. No. The central limit theorem says nothing about the histogram of the sample values. It deals only with the distribution of the sample means.
B. Yes. This is exactly what the theorem says

Answers

Answer 1

Answer:

Answer:

A. No, the student is not right. The central limit theorem says nothing about the histogram of the sample values. It deals only with the distribution of the sample means.

Step-by-step explanation:

No, the student is not right. The central limit theorem says nothing about the histogram of the sample values. It deals only with the distribution of the sample means. The central limit theorem says that if we take a large sample (i.e., a sample of size n > 30) of any distribution with finite mean $\mu$ and standard deviation $\sigma$ , then, the sample average is approximately normally distributed with mean $\mu$ and variance $\sigma^2/n$ .

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What number divided by 2 will give 12 as quotient

A swimming pool is being drained for maintenance. The volume of water in the pool changes by −12 gallons every minute. What is the change in volume over 90 minutes? Enter the your answer in the box.

Answers

Answer:

Step-by-step explanation:

Answer:

-1080

Step-by-step explanation:

1 min = -12

90 min = 90 * (-12) = - 1080

Does anyone know where to plot this?

Answers

Answer:

(-3,1) becomes (1,-1)

(-4,7) becomes (0,5)

(-6,3) becomes (-2,1)

(-9,8) becomes (-5,6)

Step-by-step explanation:

just move every point 4 to the right and 2 down. once you plot the new points draw and connect

Derive the equation of the parabola with a focus at (2, −1) and a directrix of y = −one half.f(x) = −(x + 2)2 − three fourths
f(x) = (x + 2)2 + three fourths
f(x) = −(x − 2)2 + three fourths
f(x) = −(x − 2)2 − three fourths

Answers

Basically, the parabola has to have all points that are equidistant from the focus and the directrix, the directrix being a horizontal line, and the focus being a point given. To derive an equation from this you need to use the distance formula which I'm guessing you already know because you're already in precalc.
The gist of it is that we have a random point on the parabola (x,y), and the point (x,y) will be equidistant from both the focus and the directrix. If we use the distance formula, you get something like this:
$\sqrt{(y-(- (1)/(2) ))^2} = √((x-2)^2+(y-(-1)^2)$
The square root of y-(-1/2) coming from the directrix, and the righthand side of the equal sign being derived from the focus.
All you need to do is simplify now!
$(y+(1)/(2))^2 = (x-2)^2+(y+1)^2 \n\ y^2+y+ (1)/(4) = x^2-4x+4 + y^2+2y+1 \n\ -y-(3)/(4) = x^2-4x+4 \n\ -y-(3)/(4) = (x-2)^2 \n\ -y = (x-2)^2+(3)/(4) \n\ y = -(x-2)^2-(3)/(4)$

Hope I helped!

Answer:

f(x) = −(x − 2)2 − three fourths

Step-by-step explanation:

has vertices J(3, –1), K(4, –4), and L(1, –3). Determine if is an equilateral, isosceles, or scalene triangle. A. equilateral B. isosceles C. scalene D. none of these

Answers

The solution is, the triangle is an isosceles triangle.

What is Triangle?

A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.

Here, we have,

To solve this problem we simply need to find the lengths of each side of the triangle.

To do this, we use the distance formula: √(x1-x2)^2+(y1-y2)^2.

Using points J and K, we find that the length of JK is

√(3-4)^2+(-1-(-4))^2

=√(-1)^2+(3)^2

=√1+9

=√10.

Then we do the same for JL and KL.

JL is √(3-1)^2+(-1-(-3))^2

=√(2)^2+(2)^2

=√4+4

=√8.

KL is √(4-1)^2+(-4-(-3)^2)

=√(3)^2+(-1)^2

=√9+1

=√10.

Now we have all three sides of the triangle: √10, √8, and √10.

Check for any similarities: you have two sides of √10.

Because there are two sides of the triangle of the same length, the triangle is an isosceles triangle.

Learn more about Triangle click here:

brainly.com/question/30256538

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To solve this problem we simply need to find the lengths of each side of the triangle. To do this, we use the distance formula: √(x1-x2)^2+(y1-y2)^2. Using points J and K, we find that the length of JK is √(3-4)^2+(-1-(-4))^2=√(-1)^2+(3)^2=√1+9=√10. Then we do the same for JL and KL. JL is √(3-1)^2+(-1-(-3))^2=√(2)^2+(2)^2=√4+4=√8. KL is √(4-1)^2+(-4-(-3)^2)=√(3)^2+(-1)^2=√9+1=√10. Now we have all three sides of the triangle: √10, √8, and √10. Check for any similarities: you have two sides of √10. Because there are two sides of the triangle of the same length, the triangle is an isosceles triangle.

How do I simplify this polynomial

Answers

25x^5/5x^2

You need to divide 25 by 5 and subtract the exponent

5x³

I hope that's help:0

24 cups in how many quarts

Answers

1 quart = 4 cups
6 quarts = 24 cups
Hope this helps :D

1 Quart = 4 Cups
So, 6 Quarts = 24 Cups

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