The statement of the question tells us that 45% of the customers getting an oil change will have their car tires rotated. Therefore:
probability of both = 0.7 x 0.45
= 0.315
= 31.5%
There are 13 diamonds in the deck, so 
ways of drawing 3 diamonds.
There is a total of 
ways of drawing any 3 cards from the deck.
So the probability of drawing 3 diamonds is
where 
.
So let's add variables according to the ratio:
3n + 2n = <span>£80
5n = </span><span>£80
n = 16
3(16):2(16)
48:32
Tom gets </span>£48, and Jerry gets <span>£32</span>
Answer:
$0.025x² . . . where x is a number of percentage points
Step-by-step explanation:
The multiplier for semi-annual compounding will be ...
(1 + x/2)² = 1 + x + x²/4
The multiplier for annual compounding will be ...
1 + x
The multiplier for semiannual compounding is greater by ...
(1 + x + x²/4) - (1 + x) = x²/4
Maria's interest will be greater by $1000×(x²/4) = $250x², where x is a decimal fraction.
If x is a percent value, as in x = 6 when x percent = 6%, then the difference amount is ...
$250·(x/100)² = $0.025x² . . . where x is a number of percentage points
_____
<u>Example</u>:
For x percent = 6%, the difference in interest earned on $1000 for one year is $0.025×6² = $0.90.
The equivalent to (1/3)^3 is
(1/3) x (1/3) x (1/3) = .<span>037
</span>
The answer is 1/27 or 0.37.
