With amounts measured in gallons, let
x = amount of 65% antifreeze
y = amount of 90% antifreeze
1 gal of the 65% brand contains 0.65 gal of pure antifreeze; x gal would contain 0.65x gal. Similarly, y gal of the 90% brand contains 0.90y gal of pure antifreeze.
To obtain 120 gal of 80% antifreeze solution (which contains 0.80•120 = 96 gal of pure antifreeze), we must have
x + y = 120 … … … … … [total volume of antifreeze solution]
0.65x + 0.90y = 96 … [total volume of pure antifreeze]
Solve the first equation for y :
y = 120 - x
Substitute this into the second equation and solve for x :
0.65x + 0.90 (120 - x) = 96
0.65x + 108 - 0.90x = 96
0.25x = 12
x = 48
Solve for y :
y = 120 - 48
y = 72
That number is closer to 700,000 than 185,505 for example, because it is a bigger number. Hope that makes sense.
The answer is <span>1.082 x 10^<span>8
Hope this helps!!
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Answer:
P(A and B) is greater than 1 is never happened ⇒ C
Step-by-step explanation:
Two events are independent if the result of the second event is not affected by the result of the first event
If A and B are independent events, the probability of both events is the product of the probabilities of the both events P (A and B) = P(A) · P(B)
∵ The probability of any event is less than 1
∵ P(A) < 1
∵ P(A) > 
- That means P(A) is greater than half and less than 1
∴ < P(A) < 1
∵ P(B) < 1
∵ P(B) >
- That means P(B) is greater than half and less than 1
∴ < P(B) < 1
∵ P(A and B) = P(A) . P(B)
- Remember the product of any fractions less than 1 is less than 1
∴ 
< P(A) . P(B) < 1
- That means any expression equals to P(A) . P(B) must be greater
than and less than 1
∴ < P(A and B) < 1
∴ P(A and B) is greater than 1 is never happened
64.75 inch height means you are 5.3958333 feet tall
