<span>In a triangle the sum of two sides is always greater than the third side.
12-5 < x < 12+5
7 < x < 17 </span>← answer
There are 792 different ways of choosing 5 books from a shelf containing 12 books. This problem can be solved using the combination formula of mathematics. The combination formula of mathematics is a number of way of selecting thing from a collection and the formula stated as n(n-1)...(n-k+1)/k(k-1)...1 (Calculation: 12*11*10*9*8/5*4*3*2*1 = 95040/120 = 792)<span>.</span>
Approximately 95% of bags contain between 65 and 85 potato chips.
<u>Step-by-step explanation</u>:
step 1 :
Given,
The mean, M = 75
Standard deviation, SD = 5
step 2 :
From Normal distribution,
The left side of mean is 32% = M-SD, 16% = M-2SD and 2% = M-3SD
The right side of mean is 32% = M+SD, 16% = M+2SD and 2% = M+3SD
step 3 :
Calculate for left side: M-SD = 75-5 = 70 and M-2SD = 75-10 = 65
Calculate for right side: M+SD = 75+5 = 80 and M+2SD = 75+10 = 85
step 4 :
Calculate the percentage between 65 and 85:
(M-SD) + (M-2SD) + (M+SD) + (M+2SD) = 32% + 16% + 32% + 16%
= 96 % (which is approximately 95 %)
Answer:
by frying it duh
Step-by-step explanation:
The complex conjugate of <span>7i</span><span> is </span><span>−7i </span>The complex conjugate of a number
z is a number with opposite imaginary part.
So if <span>z=a+bi</span> then conjugate is: <span><span>¯z</span>=a−bi</span> for any <span>a,b∈R</span>
We can note, that if we represent all complex numbers in coordinate system, then for any number: the number z and its conjugate <span>¯z</span> are symetrical according to "real part" axis.
