The square of 9 less than a number is 3 less than the number, what is the number?

78

Step-by-step explanation:

The square of 9 is 9^2 which implies 9 × 9 = 81

Let the unknown number be represented by X. Thus,

9^2 - x = 3

81 - x = 3

Add x to both sides

81 - x + x = 3 + x

81 = 3 + x

Subtract 3 from both sides

81 - 3 = 3 - 3 + x

78 = x

x = 78

Check

81 - x = 3

Since x = 78

81 - 78 = 3

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

d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

  = pi 5^2

  = 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360   60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi