Using the following quadratic formula, which choice is the standard form equation?

The weight of baby goats is believed to be Normally distributed, with a mean of 5.75 pounds. The average weight of a random samp

Julli [10]

Answer:

The standard error of the mean is 0.0783.

Step-by-step explanation:

The Central Limit Theorem helps us find the standard error of the mean:

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , a large sample size can be approximated to a normal distribution with mean $\mu$ and standard deviation $\frac{\sigma}{\sqrt{n}}$ .

The standard deviation of the sample is the same as the standard error of the mean. So

$SE_{M} = \frac{\sigma}{\sqrt{n}}$

In this problem, we have that:

$\sigma = 0.35, n = 20$

So

$SE_{M} = \frac{\sigma}{\sqrt{n}}$

$SE_{M} = \frac{0.35}{\sqrt{20}}$

$SE_{M} = 0.0783$

The standard error of the mean is 0.0783.

7 0

3 years ago

Triangles DEF and D'E'F' are shown on the coordinate plane below: . . Triangle DEF and triangle D prime E prime F prime with ord

Brilliant_brown [7]

The correct answer is:
180° rotation.

Explanation: 
Comparing the points D, E and F to D', E' and F', we see that the x- and y-coordinates of each have been negated, but they are still in the same position in the ordered pair. 

A 90° rotation counterclockwise will take coordinates (x, y) and map them to (-y, x), negating the y-coordinate and swapping the x- and y-coordinates.

 A 90° rotation clockwise will map coordinates (x, y) to (y, -x), negating the x-coordinate and swapping the x- and y-coordinates.

Performing either of these would leave our image with a coordinate that needs negated, as well as needing to swap the coordinates back around.

This means we would have to perform the same rotation again; if we began with 90° clockwise, we would rotate 90 degrees clockwise again; if we began with 90° counter-clockwise, we would rotate 90 degrees counterclockwise again. Either way this rotates the figure a total of 180° and gives us the desired coordinates.

4 0

3 years ago

Read 2 more answers

What is greatest to least 7.081 , 7.81 ,7.002 , 7.14

wariber [46]

7.81 then 7.14 then 7.081 then 7.002

8 0

3 years ago

It has been estimated that only about 30% of California residents have adequate earthquake supplies. Suppose we are interested i

lidiya [134]

Answer:

Step-by-step explanation: