If there 10% of a 60ml bottle is filled with antifreeze, how much antifreeze (ml) was in the bottle? If 50% of a 20ml bottle is filled with antifreeze, how much antifreeze (ml) was in that bottle?

Part A: 6ml of antifreeze

Part B: 10ml of antifreeze

Step-by-step explanation:

10% of 60ml is 6ml

60/10 = 6

1/10 of 60 equals 6ml.

50% of 20ml is 10ml.

20/2 = 10

1/2 of 20 equals 10ml.

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!