Answer:
10 ounces
Step-by-step explanation:
The total amount of ounces will the the amount worth 30 cents an ounce (x) plus the 50 ounces worth 20 cents an ounce. This amount is x + 50. The total worth of the mixture should be the worth of the unknown quantity (30 cents an ounce * x ounces) plus the worth of the known quantity (18 cents an ounce * 50 ounces). The total worth is then 30x + 18(50).
Selling the mixture at 20 cents an ounce means the total worth divided by the total amount equals 20 cents per ounce:
[30x + 18(50)] cents / [x + 50] ounces = 20 cents/ounce
Multiplying both sides by (x + 50) ounces yields
(30x + (18)(50) cents = 20(x + 50) cents
which solves to (30x + 900) cents = (20x + 1000) cents
now we use algebra to solve for the value of x
(30x + 900) - 900 = 20x + 1000 - 900 --> 30x = 20x + 100 -->
30x - 20 x --> 20x - 20 x + 100 --> 10x = 100 --> x = 10 ounces
-1. This is because it is the furthest from 1.12 when going backwards
Answer:
18
Step-by-step explanation:
Answer:
0.99379
Step-by-step explanation:
The first thing to do here is to calculate the z-score
mathematically;
z-score = x-mean/SD/√(n)
From the question x = 9.5 ,
mean = 9, SD = 2 and n = 100
Plugging the values we have;
z-score = (9.5-9)/2/√(100) = 0.5/2/10 = 0.5/0.2 = 2.5
So the probability we want to calculate is;
P(z<2.5)
We use the standard table for this
and that equals 0.99379
Find the area of all six rectangular faces of the prism. (A= l x b)
A1: 3.1 x 5 = 15.5
A2: 7.4 x 3.1 = 22.94
A3: 5 x 7.4 = 37
A4: 3.1 x 7.4 = 22.94
A5: 7.4 x 5 = 37
A6: 3.1 x 5 = 15.5
Add all answers together to get your answer of 150.88 cm^2.
Hope this helps!!
