Hi please help quick 1 7/12 + 4 1/3

A. 5 8/15

B. 5 11/12

C. 3 3/12

D. 3 6/9

B. 5 11/12

Step-by-step explanation:

Simplify the following:

1 + 7/12 + 4 + 1/3

Put 1 + 7/12 + 4 + 1/3 over the common denominator 12. 1 + 7/12 + 4 + 1/3 = 12/12 + 7/12 + (12×4)/12 + 4/12:

12/12 + 7/12 + (12×4)/12 + 4/12

12×4 = 48:

12/12 + 7/12 + 48/12 + 4/12

12/12 + 7/12 + 48/12 + 4/12 = (12 + 7 + 48 + 4)/12:

(12 + 7 + 48 + 4)/12

| 2 |  

| 4 | 8

| 1 | 2

| | 7

+ | | 4

| 7 | 1:

71/12 = Convert to a mixed number:

71/12

Divide 71 by 12:

1 | 2 | 7 | 1

12 goes into 71 at most 5 times:

| | | 5

1 | 2 | 7 | 1

| - | 6 | 0

| | 1 | 1

Read off the results. The quotient is the number at the top and the remainder is the number at the bottom:

| | | 5 | (quotient)

1 | 2 | 7 | 1 |  

| - | 6 | 0 |  

| | 1 | 1 | (remainder)

The quotient of 71/12 is 5 with remainder 11, so:

5 11/12

well we know there are 4 clubs in 52 cards so it’s replaced so it should be 3/51

step-by-step explanation:

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