The standard deviation for the number of people with the genetic mutation in such groups is 3.1305.
<h3>Standard Deviation</h3>
In statistics, the standard deviation is a measure of the amount of variation or dispersion of a set of values. A low standard deviation indicates that the values tend to be close to the mean of the set, while a high standard deviation indicates that the values are spread out over a wider range.
Let X be the number of people with genetic mutation is a group of 500,
The formula of standard deviation is given as
![SD=\sqrt{n*p(1-p)} \\SD=\sqrt{500*0.02*0.98} \\SD=3.1305](https://tex.z-dn.net/?f=SD%3D%5Csqrt%7Bn%2Ap%281-p%29%7D%20%5C%5CSD%3D%5Csqrt%7B500%2A0.02%2A0.98%7D%20%5C%5CSD%3D3.1305)
The standard deviation of the given sample is 3.1305
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if we zero out f(x), namely make y = 0, we can get the roots or x-intercepts for this quadratic equation
![\bf 0 = (x+4)(x-2)\implies \begin{cases} 0=x+4\implies &-4=x\\ 0=x-2\implies &2=x \end{cases}](https://tex.z-dn.net/?f=%5Cbf%200%20%3D%20%28x%2B4%29%28x-2%29%5Cimplies%20%5Cbegin%7Bcases%7D%200%3Dx%2B4%5Cimplies%20%26-4%3Dx%5C%5C%200%3Dx-2%5Cimplies%20%262%3Dx%20%5Cend%7Bcases%7D)
now, the equation is in x-terms, meaning is a vertically opening parabola, so the axis of symmetry will be x = something, a vertical line.
well, we have two x-intercepts, one at -4 and another at 2, and the vertex is right half-way between those guys
-4------------(-1)------------2
so the vertex is at x=-1, namely the axis of symmetry is x = -1.
Answer
The answer and procedures of the exercise are attached in the following archives.
Step-by-step explanation:
You will find the procedures, formulas or necessary explanations in the archive attached below. If you have any question ask and I will aclare your doubts kindly.
Answer:
B
Step-by-step explanation:
I got this answer correct on a test
The correct graph to the inequality is a number line with open dot at <em>negative 3</em> with shading to the left and an open dot at 6 with shading to the right. The correct option is the second option
<h3>Linear Inequalities </h3>
From the question, we are to determine the graph for the given compound inequality
The given compound inequality is
4p + 1 < −11 or 6p + 3 > 39
Solve the inequalities separately
4p + 1 < −11
4p < -11 - 1
4p < -12
p < -12/4
p < -3
OR
6p + 3 > 39
6p > 39 - 3
6p > 36
p > 36/6
p > 6
Thus,
p < -3 OR p > 6
Hence, the correct graph to the inequality is a number line with open dot at <em>negative 3</em> with shading to the left and an open dot at 6 with shading to the right. The correct option is the second option
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