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
jasenka [17]
3 years ago
12

What is the distance between a line that has endpoints at (1,5) and (1,-5)?

Mathematics
1 answer:
Tanzania [10]3 years ago
5 0
Since the x values (1) and (1) are the same, we just have to worry about the (5) and (-5)

the distance between a (5) and (-5)
would be  (5) - (-5)
which is equal to   (5) + (5) = 10

therefore your answer would be C. 10

note that distance should always be a positive number
You might be interested in
Factor -3bk 2 + 9bk - 6b
satela [25.4K]
First you do -3bk+9bk and that equals 6bk then since there are no more like terms the experssion would be simplified into 6bk+2-6b
    HOPE THAT HELPED!
8 0
3 years ago
According to 2013 report from Population Reference Bureau, the mean travel time to work of workers ages 16 and older who did not
gregori [183]

Answer:

a) 48.80% probability that his travel time to work is less than 30 minutes

b) The mean is 30.7 minutes and the standard deviation is of 3.83 minutes.

c) 13.13% probability that in a random sample of 36 NJ workers commuting to work, the mean travel time to work is above 35 minutes

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 normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore 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 pvalue, 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.

In this question, we have that:

\mu = 30.7, \sigma = 23

a. If a worker is selected at random, what is the probability that his travel time to work is less than 30 minutes?

This is the pvlaue of Z when X = 30. So

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

Z = \frac{30 - 30.7}{23}

Z = -0.03

Z = -0.03 has a pvalue of 0.4880.

48.80% probability that his travel time to work is less than 30 minutes

b. Specify the mean and the standard deviation of the sampling distribution of the sample means, for samples of size 36.

n = 36

Applying the Central Limit Theorem, the mean is 30.7 minutes and the standard deviation is s = \frac{23}{\sqrt{36}} = 3.83

c. What is the probability that in a random sample of 36 NJ workers commuting to work, the mean travel time to work is above 35 minutes?

This is 1 subtracted by the pvalue of Z when X = 35. So

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

By the Central Limit Theorem

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

Z = \frac{35 - 30.7}{3.83}

Z = 1.12

Z = 1.12 has a pvalue of 0.8687

1 - 0.8687 = 0.1313

13.13% probability that in a random sample of 36 NJ workers commuting to work, the mean travel time to work is above 35 minutes

8 0
3 years ago
6. What is the length of BC?
denis23 [38]
The length of BC is 9
6 0
2 years ago
PLEASE HURRY
givi [52]
Point A is the midpoint of CT which means the ratio of CA:CT would be 1:2.
To find CT, you need to find the distance of CA then applies 2 times of the distance to the point C

Xca= Xa-Xc= 1- (-2)= 3
Yca= Ya- Yc= -3 -5= -8

Xt= Xc + 2* Xca= -2 + 2*3= 4
Yt= Yc + 2* Yca= 5 + 2*-8= -11
T(Xt, Yt)= T(4, -11)

The coordinate for point T would be (4, -11)
8 0
3 years ago
What is the slope of y=2x-6
Korvikt [17]
The slope is 2x. In other words 2/1
5 0
3 years ago
Other questions:
  • Triangle JKL has vertices J (-7, 4), K (7.1),
    7·1 answer
  • Mary is 5 Times as old as Morgan and the sum of their ages is 72.how old is each person
    5·1 answer
  • How many thirds are in1
    5·2 answers
  • A stack of six bricks is two feet high. Use that information to answer the questions below. How high is a stack of 20 bricks?
    14·1 answer
  • How many centimeters are equal to 0.05 meters?
    7·2 answers
  • What is 2x3-5x2-28x+15;x+3
    7·1 answer
  • Simplify the product using a table
    15·2 answers
  • .<br> How are rotations represented as a function?
    9·1 answer
  • Pls help I don’t understand this question very well
    7·1 answer
  • What is the percent of increase from 75 to 99?
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!