Pete starts with 4 quarts of 20% juice, which contains
0.20 • (4 quarts) = 0.8 quarts
of juice.
If he mixes this with <em>x</em> quarts of 60% juice, which contains
0.60 • (<em>x</em> quarts) = 0.6<em>x</em> quarts
of juice, then he would end up with a mixture with a volume of (<em>x</em> + 4) quarts that contains (0.8 + 0.6<em>x</em>) quarts of juice. The mix has to have a concentration of 50% juice, which means
(0.8 + 0.6<em>x</em>) / (<em>x</em> + 4) = 0.50
Solve for <em>x</em> :
0.8 + 0.6<em>x</em> = 0.50 (<em>x</em> + 4)
0.8 + 0.6<em>x</em> = 0.5<em>x</em> + 2
0.1<em>x</em> = 1.2
<em>x</em> = 12
So Pete needs 12 quarts of the 60% juice.
Answer:
<em>The sample size 'n' = 721</em>
<em>Number of cars 'n' = 721</em>
Step-by-step explanation:
<u><em>Explanation</em></u>:-
<em>Given Population proportion 'p' = 0.40</em>
<em>Given Margin of error = 0.03</em>
<em>90% of level of significance </em>
<em> </em>
<em></em>
<em>The Margin of error is determined by</em>
<em></em>
<em></em>

on calculation , we get
0.03√n = 0.8058

squaring on both sides , we get
n = 721.45≅721
<u><em>conclusion</em></u>:-
<em>The sample size 'n' = 721</em>
<em>Number of cars 'n' = 721</em>
I believe the answer is 3 and 3/5