Answer:
And we can find this probability using the complement rule and with excel or the normal standard table:
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".
Solution to the problem
Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:
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 complement rule and with excel or the normal standard table:
G(x) = 0 can never happen.
When x is 0, the answer is 4
When x is 1, the answer is 19.6
When x is 4, the answer is 66.4
According to Wolfram Alpha though, x is equal to -(10/39). If that's not a choice for you, don't worry about it. :)
Option A:
The probability that Everett and Finley end up with an even number and a blue disk is 
.
Solution:
Given data:
Everett is rolling a block with numbers = {1, 2, 3, 4, 5, 6}
Finley is drawing one disk from basket with colors = {blue, red, yellow}
Total number of numbers = 6
Total number of colors = 3
Divide numerator and denominator by the common factor 3.
Option A is the correct answer.
Hence the probability that Everett and Finley end up with an even number and a blue disk is .
1 1/8 = 1.125
2 2/8 = 2.25
1.125 +2.25 = 3.375 yards total
n = 3.375 x 4.30
n = 14.5125 rounds to $14.51 total
Angle PTG = arccos((18^2 + 13^2 - 27^2) / (2 x 18 x 13)) = arccos(-236 / 468) = arccos(-0.5043) = 120 degrees.
The triangle is an obtuse triangle (because one of the angles is greater than 90 degrees) and a scalene triangle (because all the sides are not equal).
