If it takes 1/2 day to write a report, how much will be completed after 1/4 of a day?

You have completed only half in a 1/4 of a day

Step-by-step explanation:

think of it this way

lets say in half a day e.g at 12pm you finish the report

half of 12 is 6

so that would be a 1/4 of the day

100%=24 hours=whole day

50%=12 hours=half a day

25%=6 hours = quarter of a day

25% = 1/4

i hope this helps

Half report will be written in 1/4 of a day

Time to write complete report = 1/2 day

So by ratio and proportion

Report     :     Time of day

    1          :           1/2

    x         :            1/4

By cross multiplication

1/4 * 1 = 1/2 * x

X = 2 * 1/4

X = 1/2

So half report will be written in 1/4 of a day

b

step-by-step explanation:

given

- 2 (3x + 12y - 5 - 17x - 16y + 4 )

simplify the parenthesis by collecting like terms

= - 2 (- 14x - 4y - 1) ← distribute the parenthesis by - 2

= 28x + 8y + 2 → b

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