Here is the expansion of <span>(x + y)n </span><span>for </span><span>n = 0, 1,…, 5</span><span> :</span>
<span>(x + y)0 = 1</span>
<span>(x + y)1 = x + y </span>
<span>(x + y)2 = x 2 +2xy + y 2 </span>
<span>(x + y)3 = x 3 +3x 2 y + 3xy 2 + y 3 </span>
<span>(x + y)4 = x 4 +4x 3 y + 6x 2 y 2 +4xy 3 + y 4 </span>
<span>(x + y)5 = x 5 +5x 4 y + 10x 3 y 2 +10x 2 y 3 +5xy 4 + y 5
</span>
hopefuly this helps you understand
See photo for drawing.
Words:
Suppose a square is 100%,
50%: the square is divided into two equal parts, and one of them is shaded, therefore it is 50%.
25%: the square is divided into 4 equal parts, and one of them is shaded, therefore it is 25%.
150%: there are two squares, each divided into 2 equal parts, and 3 of them is shadowed, therefore it is 150%.
Answer:
No, not correct.
Step-by-step explanation:
Note that 8 * 4.3 can be broken up as follows:
8 * (4 + 0.3)
and that 4*8 =32, and that 0.3(8) = 2.4 (not 0.24).
Then 8 * (4 + 0.3) becomes 32 + 2.4 = 34.4
Answer:
a
The probability that the selected joint was judged to be defective by neither of the two inspectors is 
b
The probability that the selected joint was judged to be defective by inspector B but not by inspector A is 
Step-by-step explanation:
From the question we are told that
The sample size is 
The number of outcome for inspector A is 
The number of outcome for inspector B is 
The number of joints judged defective by both inspector is 
The the probability that the selected joint was judged to be defective by neither of the two inspectors is mathematically represented as

Now

substituting values

So


the probability that the selected joint was judged to be defective by inspector B but not by inspector A is mathematically represented as

Now

substituting values

So


Answer:
9
Step-by-step explanation:
The number of darts that failed to hit the bulls eye is 40% of 15 subtracted from 15
Since 40% of the darts hit the bulls eye .
Therefore
40% of 15
40/100 x 15
0.4 x 15
6
This means that 6 darts hit the bulls eye.
Therefore,number of darts that did not hit the bulls eye is
15 - 6 = 9
9 darts failed to hit the bulls eye