Hassan and dionnie played a game of darts, and dionnie scored 4 more points than hassan. the total of their scores was 180. how many points did each of them score ?

Let Hassan score be X

Then Dionnie score will be  X + 4

: the sum of Hassan and Dionnie is 180

X + ( X + 4 ) = 180

X + X + 4 = 180

COLLECTING LIKE TERMS

2X = 180 – 4

2X = 176

DIVIDING EACH TERM BY 2

2X/2 = 176/2

X = 88

: Hassan scored 88 and Dionnie score 92

Step-by-step explanation:

b is 38 degrees.

a is 52 degrees.

this is because if b is 38 and a is 14 degrees more than b than 38+14=52 and 52+38=90 degrees. hope this .

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