Of customers ordering a certain type of computer, 15% order an upgraded graphics card, 30% order extra memory, 20% order both the upgraded graphics card and extra memory, and 35% order neither. Fifteen orders are selected at random. Let 1,2,3,4 denote the respective number of orders in the four given categories. A. Find P(1=3,2=4,3=2,4=6).

2.0104*10^(-9)

Step-by-step explanation:

Given that of customers ordering a certain type of computer, 15% order an upgraded graphics card, 30% order extra memory, 20% order both the upgraded graphics card and extra memory, and 35% order neither

15 orders are selected at random

P(x1=3, x2 =4, x3 =2 and x4 =6) where x1 , x2, x3 and x4 represent the upgraded graphics, extra memory, both and neither respectively.

Each order is independent of the other.

P(x1) = 0.15, P(X2) = 0.30 , P(x3) = 0.20 and P(x4) = 0.35

Since independent we  get

P(x1=3) =

P(X2=4) =

P(X3=2) =

P(X4=6) =

Required probability = Product of all these four

= 2.0104*10^(-9)

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

~

a

step-by-step explanation:

when a number is between two straight lines it means the absolute value.

to find absolute value you need to know how many numbers is that number away from 0.

when finding absolute value the number will always come out positive

so absolute value of -3 is 3

absolute value of 3/2 is 3/2

absolute value of -2 is 2

absolute value of 3.5 is 3.5

absolute value of -1 is 1

now put these numbers in order:

a)   |-1|, |3/2|, |-2|, |-3|, |3.5|