Answer:
The mean of W is 55 ounces.
The standard deviation of W is 4.33 ounces.
Step-by-step explanation:
Let X: weight of a red delicious apple, and B: the weight of the box and packing material.
The distribution that will represent W: the total weight of the packaged 5 randomly selected apples will be also normally distributed.
Applying the property of the mean:
, the mean of W will be:

Applying the property of the variance:
, the variance of W will be:

The mean standard deviation of W will be the squared root of V(W):

The mean of W is 55 ounces.
The standard deviation of W is 4.33 ounces.
Answer:
a=50 b=20
Step-by-step explanation:
Call A and B the 2 present ages.
Ten years from now, A is twice as old as B -->
(A + 10) = 2(B + 10) (1)
Five years ago, A was 3 times as old as B -->
(A - 5) = 3(B - 5) (2).
Solve the system (1) and (2).
From (2) --> A = 3B - 15 + 5 = 3B - 10.
Replace this value of A into (1) -->
3B - 10 + 10 = 2B + 20 --> B = 20. Then,
A = 3B - 10 = 60 - 10 = 50.
Check
!0 years from now --> A = 60 and B = 30 --> A = 2B .OK
5 years ago --> A = 45 and B = 15 --> A = 3B. OK
Answer:
Araceli would have used 2.25 (or 2 1/4) yards of fabric for each bag.
Step-by-step explanation:
First, you have the 9 bags you are making and they all must be the same because they are identical, so you divide the nine bags by the four yards and I got an answer of 2.25 yards per bag. The answer can also be 2 1/4 as well.
Answer:
therefore the solution of the system of equations is (x,y) = (4,2)
the solution is unique and therefore the the system is neither "inconsistent" nor "dependent"
Step-by-step explanation:
i) x + 2 = 6
x = 4
ii) x - y = 2
4 - y = 2 , therefore y = 4 - 2 , therefore y = 2
iii) therefore the solution of the system of equations is (x,y) = (4,2)
iv) the solution is unique and therefore the the system is neither "inconsistent" nor "dependent"