Find the area of a 9-inch by 6-inch rectangle with a 4-inch by 4-inch square removed from one corner.

38 square inches

Step-by-step explanation:

Given: A 9-inch by 6-inch rectangle with a 4-inch by 4-inch square removed from one corner.

To find: Area of the remaining portion.

Solution:

In order to find the area of the remaining portion, we first need to find the area of rectangle, and area of square, then we need to subtract the area of square from area of rectangle.

We have, the dimension of rectangle as 9-inch by 6-inch

So area of rectangle square inches

We have dimension of square as 4 inch.

So, area of square square inches

Now, area of remaining portion

area of remaining portion square inches

Hence, area of remaining portion is 38 square inches.

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

step-by-step explanation: