Answer:
The answers to the questions are;
(a) P(At least 1 defective)
= 0.9883.
(b) P(At least 1 defective)
= 0.6409.
Step-by-step explanation:
There are 110 cards and 20 defectives.
a) The probability of at least one defective is given by
P(At least 1 defective) = 1 - P(0 defective)
P(0 defective) = 20C0 × (90C0)/(110C20) = 0.0116
1 - 0.0116 = 0.9883
b) For a set of 110 boards that has 5 defective and 105 non-defective
P(At least 1 defective) = 1 - P(0 defective)
P(0 defective) = (20C0)(90C5)/(110C5) = 0.35909
1-0.35909
= 0.6409
Given:
Perimeter of a rectangular paper = 22 inches.
Area of the rectangular paper = 28 square inches.
To find:
The dimensions of the rectangular paper.
Solution:
Let l be the length and w be the width of the rectangular paper.
Perimeter of a rectangle is:

Perimeter of a rectangular paper is 22 inches.


...(i)
Area of a rectangle is:

Area of the rectangular paper is 28 square inches.

Using (i), we get



Splitting the middle term, we get



Using zero product property, we get


If
, then by using (i)


If
, then by using (i)


Therefore, the dimensions of the paper are either
or
.
Answer:
A. 
B. 
C. 
Step-by-step explanation:
For A pick a fraction that is less than a whole number.
For B pick a fraction that is a whole number.
For C pick a fraction that is greater than a whole number.
Answer:
2*6=12 my guy
Step-by-step explanation:
Y = 8x + 12
if x = -6
y = 8(-6) + 12
y = -48 + 12
y = - 36
if y = 13
13 = 8x + 12
13-12 = 8x
8x = 1
x = ¹/₈ ≈ 0.125