During the summer, you work 40 hours per week at a coffee shop and eam $9.25 per hour. You also tutor for $10.00 per hour and can work as many hours as you want. You want to earn a total of $425 per week. How many hours must you tutor?

6 hours worked as a tutor

Step-by-step explanation:

40 x 9.25 = 370$

425 - 370 = 55

55/10 = 5.5

so 5.5 but because you work full hour round up to 6 hour worked as a tutor

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