Which best describes the relationship between the successive terms in the sequence shown? 2.4, –4.8, 9.6, –19.2 The common difference is –7.2. The common difference is –2.4. The common ratio is –2.0. The common ratio is –0.5.

The common ratio is -2

Step-by-step explanation:

We can see that to get from 2.4 to -4.8 you multiply by -2. This applies for all of the terms. That means the common ratio is ,

-2

The common difference is –7.2.

Step-by-step explanation:

2.4  

–4.8,   difference = 7.2 here as -4.8 + -7.2 = 2.4

9.6,  difference = -14.4 here as 9.6 - 14.4 = -4.8

–19.2  difference = 28.8 here as -19.2  + 28.8 = 9.6

The common difference is –7.2. is correct

The common difference if it was  –2.4 we would not find the next number of the sequence.

With -7.2 we can subtract from 2.4 and find the second part of sequence and show -4.8 and so forth.

Therefore is the relationship as we add this difference to each previous number and can show this in n terms.

0 + 2.4 - 7.2  = -4.8

0 + 7.2 = 7.2

0+  7.2 + 7.2 = 14.4

0+ 14.4 + 7.2 + 7.2 = 28.8

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

a28=58

step-by-step explanation:

a1=a1+(n-1)d

a28= 4+ (28-1)2

a28=4+(27)(2)

a28=4+54

a28=58