Solve the second equation for x to get x=-9-y, the plug it in into the first equation, so you get 2(-9-y) -3y = 12, distribute the 2, so you get -18-2y-3y=12, add like terms so you get -18-5y = 12, then move the constants to the right so you get -5y = 30 and solve to get y=-6, and then plug it into x=-9-y to get x=-3 <span />
The standard deviation for the number of people with the genetic mutation is 3.77
<h3>How to determine the standard deviation?</h3>
The given parameters are:
Sample size, n = 300
Proportion that has the particular genetic mutation, p = 5%
The standard deviation for the number of people with the genetic mutation is calculated as:
Standard deviation = √np(1 - p)
Substitute the known values in the above equation
Standard deviation = √300 * 5% * (1 - 5%)
Evaluate the product
Standard deviation = √14.25
Evaluate the exponent
Standard deviation = 3.77
Hence, the standard deviation for the number of people with the genetic mutation is 3.77
Read more about standard deviation at
brainly.com/question/12402189
#SPJ1
Answer: (4, -2)
<u>Step-by-step explanation:</u>
Inverse is when you swap the x's and y's: (-2, 4) --> (4, -2)
Answer:
(4) -1.
Step-by-step explanation:
First evaluate f(π/2) which is 2 * π/2 = π.
So g(f(π/2)) = g(π)
= cos π
= -1.
Step-by-step explanation:
2x+6=14
2x=14-6
2x=8
x=8/2
hence; x=4