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:
The y intercept is (0, 14) and the x intercept is (-112,0) all you have to do is just make y zero if you are trying to solve for x and the same for the x if you are trying to solve for y.
Answer:
28
Step-by-step explanation:
Answer:
T = total #
T = 5 (to the aunt) + 1/2 (T - 5) (to his friends) + 1 (to his sister) + 4 (left)
T = 5 + 1/2 (T - 5) + 1 + 4
T = 10 + 1/2 (T - 5)
2T = 20 + (T - 5)
2T = 20 + T - 5
2T = 15 + T
T = 15
Step-by-step explanation:
Answer:
Yes, it doubles.
Step-by-step explanation:
2 times 8.6 is 17.2
it doubles because of the ratio the sides of a rite triangle are in. the ratio is always the same