Answer:
f(-4)= -1
Step-by-step explanation:
Divide 8 by 8= 1
divide 40 by 8=5
1/5
Answer:

And i fwe look into the normalstandar dtable we can find the desired probability:

And then the The area to the right of z = 1.51 is 0.0655
Step-by-step explanation:
For this case we want to find the following probability:

And for this case we can use the normal standard distribution and the complement rule and we have this:

And i fwe look into the normalstandar dtable we can find the desired probability:

And then the The area to the right of z = 1.51 is 0.0655
Answer:
Aidan is 2 miles far from the ending point when he reaches the water station.
Step-by-step explanation:
The locations of the starting point, water station and ending point are (3, 1), (3, 7) and (3, 9), all expressed in miles. First we determine the distances between starting and ending points and between starting point and water station by the Pythagorean Theorem:
From starting point to ending point:
(Eq. 1)

From starting point to water station:
(Eq. 2)

The distance between the water station and the ending point is:
(Eq. 3)


Hence, Aidan is 2 miles far from the ending point when he reaches the water station.
Answer:
At least 68% of observations lie between 22 and 26 months.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 24
Standard deviation = 2
22 = 24 - 2
22 is one standard deviation below the mean
26 = 24 + 2
26 is one standard deviation above the mean.
So, by the empirical rule, at least 68% of observations lie between 22 and 26 months.