Answer:
18 ounces of the 25% solution
21 ounces of the 38% solution
Step-by-step explanation:
let a be the ounces of 25% alcohol solution
let b be the ounces of 38% alcohol solution
a + b = 39
0.25a + 0.38b = 0.32(39) = 12.48
Rearrange a + b = 39:
a = 39 - b
Now we can substitute a = 39 - b into the other equation
0.25a + 0.38b = 12.48
0.25(39 - b) + 0.38b = 12.48
Simplify by distributing
9.75 - 0.25b + 0.38b = 12.48
Collect like terms
9.75 + 0.13b = 12.48
Isolate b to solve
0.13b = 2.73
b = 2.73/0.13
b = 21
Sub b = 21 into an equation to find "a"
a + b = 39
a + 21 = 39
a = 39 - 21
a = 18
Therefore we need 18 ounces of the 25% solution and 21 ounces of the 38% solution.
Answer: 0.0433
Step-by-step explanation:
Given: Sample size : n= 133
The number of females in sample = 65
Then the proportion of females : 
The formula to calculate the standard error of the proportion is given by :-
Hence, the standard error of the proportion of females is 0.0433.
Answer:
3 mi
Step-by-step explanation:
c = 3√2 ÷ √2 = 3
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