Let's set up some equations.
We know that 7/8 of a liter fills up our bottle 5/6 of the way. Thus 7/8=5/6 * b.
Now, let's divide both sides by 5/6 to get b = 21/20. However, none of the answer choices provided are correct. Let's look at each one to determine why it's not correct.
A. This answer is false because 35/48 < 7/8. If 7/8 of a liter doesn't completely fill up the bottle, there is no way that a value less than 7/8 can fill up the bottle - it's impossible.
B. Same case as answer A, but 11/38 instead of 35/48.
C. Same case as answer A, but 11/20 instead of 35/48.
D. This answer however is more than 35/48, so is it correct? No. 113/35 is just over 3. Since 7/8 of a liter almost fills the bottle but does not quite completely fill it, there is no way that adding 2 more liters can fill up the bottle just the tiny 1/6 of the way. That is disproportional and is thus wrong.
Answer:
Step-by-step explanation:
standard deviation σ =5000
Mean μ = 36500
X = 30000
Probability that tire fails to reach 30000 miles
P(< 30000) = P( z < (30000-36500) / 5000 )
= P ( z < - 1.3 )
= .0968 ( from z table )
refund per mile = .01
refund for 30000 mile = .01 x 30000 = 300
expected cost of promotion
= 300 x .0968
= 29.04
b )
refund of $50 is equivalent to shortage of milage by 50 / .01 = 5000 miles
Probability of miles less than 30000 - 5000 = 25000
P ( X < 25000 ) = P ( z < (25000 - 36500) / 5000 )
P ( z < - 2.3 )
= 0.0107 Answer .
Answer:
A, C
Step-by-step explanation:
Let's use a different benchmark for this: 1/2. Half of 5 is 2 1/2, so 3/5 is clearly <em>bigger</em> than 1/2 (since 3 is bigger than 2 1/2). Half of 3 is 1 1/2, so 1/3 is clearly <em>smaller</em> than a half (since 1 is smaller than 1 1/2). We have
1/3 < 1/2 < 3/5
Which, of course, implies that <em>1/3 is less than 3/5</em>, and by being smaller, <em>1/3 is closer to 0 than to 1</em>.
Answer:
224 ounces
Step-by-step explanation:
Multiply the mass value by 16 to find the ounce.
Hope it helps. Merry Christmas and Happy asking! :)
