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1 year ago

Find the coordinates of the midpoint of a segment with the given endpoints. A(-12,2), C(-3,5)

Mathematics

1 answer:

DIA [1.3K]1 year ago

4 0

The coordinates of the midpoint of a segment with the given endpoints will be (-7.5, 3.5).

<h3>What is the mid-point of the line segment?</h3>

Let AB be the line segment and C be the mid-point of line segment AB. Let the coordinate of point A (x₁, y₁), the coordinate of point B (x₂, y₂), and the coordinate of the mid-point (x, y).

Then the coordinate of the mid-point of the line segment is given as,

(x, y) = [(x₁ + x₂) / 2, (y₁ + y₂) / 2]

The endpoints are A(-12, 2) and C(-3,5).

Then the coordinates of the midpoint of a segment with the given endpoints will be

(x, y) = [(- 12 - 3) / 2, (2 + 5) / 2]

(x, y) = (-15/2, 7/2)

(x, y) = (-7.5, 3.5)

The coordinates of the midpoint of a segment with the given endpoints will be (-7.5, 3.5).

More about the mid-point of the line segment link is given below.

brainly.com/question/17188072

#SPJ4

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In November 2010 The average cost of 5 gallons of regular unleaded gasoline in the United States was $14.46 what was the average

Vedmedyk [2.9K]

Answer:

$46.27

Step-by-step explanation:

we know that

The average cost of 5 gallons of regular unleaded gasoline in the United States was $14.46

using proportion

Find out the average cost for 16 gallons of gas

Let

x ----> the average cost for 16 gallons of gas

$\frac{5\ gal}{\$14.46}=\frac{16\ gal}{x}\\\\x=16(14.46)/5\\\\x=\$46.27$

4 0

3 years ago

a sample size n=5 is selected from a population. under what conditions is the sampling distribution x normal?

Korolek [52]

Answer:

Look below

Step-by-step explanation:

The mean of the sampling distribution always equals the mean of the population.

μxˉ=μ

The standard deviation of the sampling distribution is σ/√n, where n is the sample size

σxˉ=σ/n

When a variable in a population is normally distributed, the sampling distribution of for all possible samples of size n is also normally distributed.

If the population is N ( µ, σ) then the sample means distribution is N ( µ, σ/ √ n).

Central Limit Theorem: When randomly sampling from any population with mean µ and standard deviation σ, when n is large enough, the sampling distribution of is approximately normal: ~ N ( µ, σ/ √ n ).

How large a sample size?

It depends on the population distribution. More observations are required if the population distribution is far from normal.

A sample size of 25 is generally enough to obtain a normal sampling distribution from a strong skewness or even mild outliers.

A sample size of 40 will typically be good enough to overcome extreme skewness and outliers.

In many cases, n = 25 isn’t a huge sample. Thus, even for strange population distributions we can assume a normal sampling distribution of the mean and work with it to solve problems.

6 0

2 years ago

3 lines are shown. A line with points T, R, W intersects with a line with points S, R, V at point R. Another line extends from p

Marrrta [24]

Answer:

The vertical angles are ∠ WRS and ∠ VRT ⇒ 2nd answer

Step-by-step explanation:

* Lets explain the meaning of the vertical angles

- Vertical angles are the angles opposite to each other when two lines

are intersected

- The vertical angle are equal in measures

- Look to attached figure which represents the lines