Answer:
3
Step-by-step explanation:
colinear points mean along the same line
Line m has 3 points labeled
Line n has 3 points labeled
Each line has only 3 points labeled
This is an edit from my previous answer.
Initially I wrote that there were 5 collinear points. My line of reasoning was that A,B,C are on one line (making them collinear), and points D,B,E are on another line (another set of collinear points).
However, if the question is asking how many collinear points are on one particular line, then the answer would be 3 collinear points. You can focus on either line and it's the same number of collinear points.
Definition: The term "collinear" means all points fall on the same straight line.
Using the sample proportion, it is found that the point estimate is of 0.15 = 15%.
A sample proportion is given by the number of desired outcomes divided by the number of total outcomes. It can also serve as the point estimate for the population proportion.
In this problem, 12 out of the 80 items sold were returned, hence:
12/80 = 0.15 = 15%.
The point estimate is of 0.15 = 15%.
More can be learned about point estimates at brainly.com/question/24651197
Answer:
a)
b)
And the 95% confidence interval would be given (0.072;0.228).
c) For this case since the confidence interval not contains the value 0.06 or 6% and since the lower limit for the confidence interval is higher than 0.06 (0.072>0.06), we have enough statistical evidence to support the conclusion that the true proportion of items returned is higher than 0.06 or 6% at a significance of 5%.
Step-by-step explanation:
Assumign the following question for the problem:
a. Construct a point estimate of the proportion of items returned for the population of sales transactions at the Houston store.
For this case the best estimate for the true proportion is given by the sample proportion:
b. Construct a 95% confidence interval for the porportion of returns at the Houston store.
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
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 confidence interval would be given by this formula
For the 95% confidence interval the value of and , with that value we can find the quantile required for the interval in the normal standard distribution.
And replacing into the confidence interval formula we got:
And the 95% confidence interval would be given (0.072;0.228).
c. Is the proportion of returns at the Houston store significantly different from the returns for the nation as a whole? Provide statistical support for your answer.
For this case since the confidence interval not contains the value 0.06 or 6% and since the lower limit for the confidence interval is higher than 0.06 (0.072>0.06), we have enough statistical evidence to support the conclusion that the true proportion of items returned is higher than 0.06 or 6% at a significance of 5%.
Please show solving
The inverse function theorem says
We have
defined on , for which we get
and
The derivative of is
So we end up with
Answer:
b
Step-by-step explanation:
Please mark brainiest
Answer:
Step-by-step explanation:
Given the pair of numbers - |-11| and - (-11), we want to determine which is greater or whether they are equal
First lets rewrite both numbers.
- |-11| = -11 (note that the modulus sign will change any negative value into a positive value and that's why |-11| is equivalent to 11)
- (-11) = 11 (note that the negative sign here was retained since it is not an absolute value like the former)
It can be seen that both numbers are therefore not equal i.e - |-11| is less than - (-11). Hence the expression - |-11| < - (-11) is a true statement
B. 0.835
C. 0.815
D. 0.970
Answer:
B. 0.835
Step-by-step explanation:
We can use the z-scores and the standard normal distribution to calculate this probability.
We have a normal distribution for the portfolio return, with mean 13.2 and standard deviation 18.9.
We have to calculate the probability that the portfolio's return in any given year is between -43.5 and 32.1.
Then, the z-scores for X=-43.5 and 32.1 are:
Then, the probability that the portfolio's return in any given year is between -43.5 and 32.1 is: