It is given that -7, h, k, 20,... are the first 4 terms of an arithmetic progression. Find the value of h and k.
A. h=11 k= 2
B. h=2 k=11
C. h=5 k=13
D. h=13 k = 5

the answer should be B

Step-by-step explanation:

the first part is basically finding the difference between the terms, as we know that d=T2-T1

so by comparing the T2-T1 and T3-T2 we can find the difference with the two variables h and k

afterwards do the same with T4-T3 and T3-T2, comparing them and you will get another equation

now that you have two equations, you can do simultaneous equation to get the answers

hope i helped :D

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