Answer:
They are parallel because they have the same slope of −2.
Step-by-step explanation:
got it right on the test, it is correct
Answer:1,4,5,2
Step-by-step explanation:
Answer:
38%
Step-by-step explanation:
Option: 38%.
Total number of numbers: 150
Number of odd numbers: 72
Number of nines: 15
Number of odd numbers other than nine: 72 - 15 = 57
Probability = [number of odd numbers other than nine] / [total number of numbers] = 57/150 = 0.38
0.38 = 38%
Answer:
For this case we have the following info related to the time to prepare a return

And we select a sample size =49>30 and we are interested in determine the standard deviation for the sample mean. From the central limit theorem we know that the distribution for the sample mean
is given by:
And the standard deviation would be:

And the best answer would be
b. 2 minutes
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 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
For this case we have the following info related to the time to prepare a return

And we select a sample size =49>30 and we are interested in determine the standard deviation for the sample mean. From the central limit theorem we know that the distribution for the sample mean
is given by:
And the standard deviation would be:

And the best answer would be
b. 2 minutes
The angles with measures 5x + 15 and 115 are corresponding angles.
For lines a and b to be parallel, those angles must be congruent.
5x + 15 = 115
5x = 100
x = 20