Answer: The correct option is (C) 
Step-by-step explanation: We are given to choose the correct simplification for the following expression :
We will be using the following property of exponents :
So, the simplification of expression (i) is as follows :
Thus, the correct simplification of the given expression is
Option (C) is CORRECT.
X goes first then y meaning the first number will be x and the second would be y
Answer:
1. 1/120
2. 7/24
Step-by-step explanation:
n = 10
Number of defective = 3
1. Probability of all defective =
(Number of defective/n) x (number of defective -1/n -1)...(number of defective -n/n-1)
=3/10 x 2/9 X 1/8
= 6/720
= 1/120
2. probability of none defective
Since 3 are defective, those that are not defective = 7
The probability is therefore:
7/10 x 6/9 x 5/8
= 210/720
= 7/24.
Answer:
-$14(2.5) & -$34.73
Step-by-step explanation:
Which estimate uses compatible numbers to estimate the problem?
✔ -<u>$14(2.5)
</u>
What is the exact answer?
✔ -<u>$34.73
</u>
<u></u>
<span>We know that sin^2(x) = 1 - cos^2(x), so
2 - 2 cos^2(x) = 2 + cos(x)
cos(x) + 2 cos^2(x) = 0
One immediate possibility is that cos(x) = 0, in which case x = Pi/2 or
3pi/4. If cos(x) is not zero, then divide both sides by cos(x) to obtain
cos(x) = -1/2
which gives x = 2Pi/3 and x = 4Pi/3.
So your solutions are
Pi/2, 3Pi/4, 2Pi/3, and 4Pi/3
Hope this helps :D</span>
