Answer:
Probability = 0.4443
Step-by-step explanation:
The provided information is:
Consider X be the weight of extra-large egg that is normally distributed with mean
and standard deviation 
Also, sample size n = 12.
Thus, the probability that an egg in a carton of a dozen eggs weights more than 3.5 oz is:

Answer:
Step-by-step explanation:
We will use two properties to solve this problem,
1). Medians of a triangle bisect the sides of a triangle.
2). Centroid of a triangle divides the medians in the ratio of 2 : 1.
Length of FH = 2 × Length of HX
= 2 × 12
FH = 24
PF : PZ = 2 : 1


PF = 8
GX = GP + PX
GP = 9 [Given]
Since, 
PX =
= 4.5
Therefore, GX = 9 + 4.5
GX = 13.5
Answer:
the probability is closer to 1 than it is to 0
Step-by-step explanation:
This problem can be solved with a series of additions and subtractions.
The starting value is 500 and we first subtract 120 because on Monday they withdrew 120 dollars which leaves us with 380 dollars.
Next, we add 50 because on Wednesday they deposited 50 dollars which results in 430.
And, If I am not mistaken, we are done because when Braxton bought their basketball ticket, they used their debt card and did not withdrew from their checking account.
So, the answer is 430 dollars.
1. Take an arbitrary point that lies on the first line y=3x+10. Let x=0, then y=10 and point has coordinates (0,10).
2. Use formula
to find the distance from point
to the line Ax+By+C=0.
The second line has equation y=3x-20, that is 3x-y-20=0. By the previous formula the distance from the point (0,10) to the line 3x-y-20=0 is:
.
3. Since lines y=3x+10 and y=3x-20 are parallel, then the distance between these lines are the same as the distance from an arbitrary point from the first line to the second line.
Answer:
.