1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
pychu [463]
3 years ago
10

Find the slope of the line through these pair of points. (12,-18) (-15,-18)

Mathematics
1 answer:
zysi [14]3 years ago
8 0
The slope, m, is given by the equation m = (y2-y1)/(x2-x1), where (x1, y1) and (x2, y2) are points on the graph. Thus:
m = (-18-(-18))/(-15-12)
= (-18+18)/-27
= 0/27 = 0
Therefor the slope is 0
You might be interested in
A gift basket has 2 pounds of cookies 3/5 pound of fudge and 1 1/4 pounds of nuts.what is the total weight of the items in the b
DanielleElmas [232]
3.85 pounds or 3 17/20 pounds
6 0
3 years ago
Read 2 more answers
When looking at the median of a data set, what information do you get when looking at the median?
cestrela7 [59]
You get the middle of all the data while looking at the median of a data set!

I hope this helped! Mark me Brainliest! :) -Raven❤️
7 0
3 years ago
The mean of a population is 74 and the standard deviation is 15. The shape of the population is unknown. Determine the probabili
Lena [83]

Answer:

a) 0.0548 = 5.48% probability of a random sample of size 36 yielding a sample mean of 78 or more.

b) 0.9858 = 98.58% probability of a random sample of size 150 yielding a sample mean of between 71 and 77.

c) 0.5793 = 57.93% probability of a random sample of size 219 yielding a sample mean of less than 74.2

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

The mean of a population is 74 and the standard deviation is 15.

This means that \mu = 74, \sigma = 15

Question a:

Sample of 36 means that n = 36, s = \frac{15}{\sqrt{36}} = 2.5

This probability is 1 subtracted by the pvalue of Z when X = 78. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{78 - 74}{2.5}

Z = 1.6

Z = 1.6 has a pvalue of 0.9452

1 - 0.9452 = 0.0548

0.0548 = 5.48% probability of a random sample of size 36 yielding a sample mean of 78 or more.

Question b:

Sample of 150 means that n = 150, s = \frac{15}{\sqrt{150}} = 1.2247

This probability is the pvalue of Z when X = 77 subtracted by the pvalue of Z when X = 71. So

X = 77

Z = \frac{X - \mu}{s}

Z = \frac{77 - 74}{1.2274}

Z = 2.45

Z = 2.45 has a pvalue of 0.9929

X = 71

Z = \frac{X - \mu}{s}

Z = \frac{71 - 74}{1.2274}

Z = -2.45

Z = -2.45 has a pvalue of 0.0071

0.9929 - 0.0071 = 0.9858

0.9858 = 98.58% probability of a random sample of size 150 yielding a sample mean of between 71 and 77.

c. A random sample of size 219 yielding a sample mean of less than 74.2

Sample size of 219 means that n = 219, s = \frac{15}{\sqrt{219}} = 1.0136

This probability is the pvalue of Z when X = 74.2. So

Z = \frac{X - \mu}{s}

Z = \frac{74.2 - 74}{1.0136}

Z = 0.2

Z = 0.2 has a pvalue of 0.5793

0.5793 = 57.93% probability of a random sample of size 219 yielding a sample mean of less than 74.2

5 0
3 years ago
Which list shows these numbers in ascending order?<br> -V6, 2, -23, 2.5
Kryger [21]
-v6,-23,2,2.5
Correct to ascending order
3 0
3 years ago
riangle ABC is an obtuse triangle with the obtuse angle at vertex B. Angle A must be less than 90°. greater than 90°. congruent
Softa [21]
Angle A must be less than 90<span>°</span>
5 0
3 years ago
Other questions:
  • Plss give step by step solutions !!!!!​
    13·1 answer
  • (Y+8) (y-8) how do I solve this?
    5·2 answers
  • What is the length of the hypotenuse
    15·2 answers
  • I am attaching the question
    5·1 answer
  • The perimeter of a square is 32 inches. what is the side length of the square
    12·2 answers
  • Binomio al cubo <br> (x+2)3​
    14·1 answer
  • Y is inversely proportional to x.<br> When x=9, y = 8.<br> Find y when x= 6.
    8·2 answers
  • Hi help please thanks
    9·1 answer
  • I need help on this
    11·1 answer
  • Which points are 4 units apart?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!