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jek_recluse [69]
3 years ago
13

Find the coordinates for the midpoint of the segment with endpoints given (3,5)(-2,0)​

Mathematics
1 answer:
densk [106]3 years ago
4 0

Answer:

(\frac{1}{2},\frac{5}{2})

General Formulas and Concepts:

<u>Pre-Alg</u>

  • Order of Operations: BPEMDAS

<u>Alg I</u>

  • Midpoint Formula: (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})

Step-by-step explanation:

<u>Step 1: Define</u>

Point (3, 5)

Point (-2, 0)

<u>Step 2: Find midpoint</u>

  1. Substitute:                    (\frac{3-2}{2},\frac{5+0}{2})
  2. Subtract/Add:               (\frac{1}{2},\frac{5}{2})
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A small town has 2000 families. The average number of children per family is mu = 2.5, with a standard deviation sigma = 1.7. A
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Answer:

Let X the random variable that represent the number of children per fammili of a population, and for this case we know the following info:

Where \mu=2.5 and \sigma=1.7

We select a sample of n =64 >30 and we can apply the central limit theorem. From the central limit theorem we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And for this case the standard error would be:

\sigma_{\bar X} = \frac{1.7}{\sqrt{64}}= 0.2125

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

Solution to the problem

Let X the random variable that represent the number of children per fammili of a population, and for this case we know the following info:

Where \mu=2.5 and \sigma=1.7

We select a sample of n =64 >30 and we can apply the central limit theorem. From the central limit theorem we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And for this case the standard error would be:

\sigma_{\bar X} = \frac{1.7}{\sqrt{64}}= 0.2125

6 0
3 years ago
Russia has recently started a push for stronger smoking regulations much like those in western countries concerning cigarette ad
Blababa [14]

Answer:

a) 0.46

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c) For those Russians who do smoke, estimate the number of cigarettes smoked per day.= 23

Step-by-step explanation:

check below for more detailed solution

7 0
3 years ago
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olasank [31]

Answer:

use photomath

Step-by-step explanation:

6 0
3 years ago
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What is the equation for the line that passes through the points (-2,1) and (1,-11)
givi [52]

Answer:

y=4x+7

Step-by-step

(-2,1) and (1,-11)

1)Rule you should use is run over rise aka slope

y²-y^1=

x^2-x^1=

(-11)-1=12

1-(-2)=3

12/3=4

slope =4

2)Rule of point slope intercept

y - y1 = m(x - x1)

y+1=4(x+2)

y+1=4x+8

   -1     -1

y=4x+7

8 0
3 years ago
WORTH 20 POINTS, PLEASE ANSWER CORRECTLY! (THE ANSWER IS NOT 26.005)
alekssr [168]

Answer:

  23.590 feet

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relationship between trig functions and sides of a right triangle:

  Tan = Opposite/Adjacent

Here, that means ...

  tan(65°) = height/(11 ft)

Multiplying by 11 ft, we get ...

  height = (11 ft)tan(65°) ≈ 23.5896 ft

  height ≈ 23.590 ft

4 0
3 years ago
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