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
Answer:
option D

Step-by-step explanation:
Given in the question are 4 number
5√1/3 - 
2 - 
9 + 

A Complex Number is a combination of a Real Number and an Imaginary Number
<h3>Example </h3>
a + ib
where a is real number
b is imaginary number
i is 'lota' which is √-1
<h3>So according to the definition above </h3>
is complex number in which
is real part
=
is the imaginary part
7w + 3 = 5w + 9
Step 1:
Get the 3 to the other side by subtracting
7w = 5w + 6
Step 2:
Get the 5w to the other side by subtracting
2w = 6
Step 3
Divide
6/2 = 3
Answer is 3
Answer:
See below
Step-by-step explanation:
First, lets see how many feet of the original Eiffel tower (O) are represented in 1 foot of Caesar's tower model (M). We know that 1.5 foot is equal to 984 feet of the original, so we can say:
1.5 M = 984 O, this is our equivalence.
Now divide both sides by 1.5
1.5 M / 1.5 = 984 O / 1.5
1 M = 656 O
So, 1 foot of Cesar's Model is 684 feet of the original tower. We also know that 1 foot is equal to 12 inches, so we can say that 12 inches of Cesar Model (12 m) are equivalent to 656 feet of the original tower. So:
12 m = 656 O
If we divide both sides by 12:
m = 656/12 O
m = 56.67
So, 1 inch in Cesar's model represent 56.67 feet of the original Eiffel Tower.
Lets verify our result by multiplying 56.67 by 12 to get 1 feet and then by 1.5 to get the measure of the model:
56.67*12*1.5 = 984 feet, which is the height of the Eiffel tower.
Scale: 1 inch = 56.67 feet
Explanation in this file
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