Answer:
13: Skew
14: Parallel
16: Intersecting
17: Skew
18: No
19: Yes
20: No
21: Yes
Step-by-step explanation:
Skew is when 2 lines dont intersect, nor are parallel (On different planes)
Parallel is when 2 lines are on the same plane, and will never touch
Intersecting is when any set of given points go through each other
Answer:
a)
And we can find this probability using the normal standard table or excel and we got:
b)
And we can find this probability using the complement rule and the normal standard table or excel and we got:
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".
Part a
Let X the random variable that represent the time for the step 1 and Y the time for the step 2, we define the random variable R= X+Y for the total time and the distribution for R assuming independence between X and Y is:
Where
and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability using the normal standard table or excel and we got:
Part b
And we can find this probability using the complement rule and the normal standard table or excel and we got:
Answer:
1/2
Step-by-step explanation:
Answer:
it will 16y-8x and common 8 is so 2y-x