Answer:
5.10 people
Step-by-step explanation:
Calculation to Find the standard deviation for the number of people with the genetic mutation
Using this formula
Standard deviation = √ ( n * p * q)
Where,
n = 400
p = .07
q = 100%-7% = 93% or .93
Let plug in the formula
Standard deviation =√400*07*.93
Standard deviation =√26.04
Standard deviation = 5.10 people
Therefore the standard deviation for the number of people with the genetic mutation is 5.10 people.
<h3>
<u>Explanation</u></h3>
The structure or equation is similar to a quadratic function.
The value of a determines the slope of graph.
Tthe value of h determines the horizontal shift of graph.
The value of k determines the vertical shift of the graph.
From the given equation,
We can say that the graph shifts to the right 2 units and shifts down 7 units. Hence the vertex would be at x = 2 and y = -7. It can be written in coordinate form as (2,-7).
<h3>
<u>Answer</u></h3>
<u>
</u>
You can find the value of y when you substitute the x value into the equation.
Since x = 3, the equation becomes:
y = 3 + 5
The answer to question 13 is y = 8
Answer: The width is: " 10 in. " .
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Explanation:
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Consider a "rectangular prism".
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The formula for the Volume of a rectangular prism:
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V = L * w * h ;
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in which:
V = volume = 120 in.³ ;
L = length = 8 in.
w = width = ??
h = height = 1.5 in.
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We want to solve for "w" (width) ;
____________________________________________
Given the formula:
____________________________________________
V = L * w * h ;
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Rewrite the formula; by dividing EACH SIDE of the equation by
"(L * h)" ; to isolate "w" on one side of the equation;
and to solve for "w" ;
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→ V / (L * h) = ( L * w * h) / (L * h) ;
to get:
_________________________________
→ V / (L * h) = w ;
↔ w = V / (L * h) ;
_________________________________
Plug in our given values for "V", "L"; and "h"; to solve for "w" ;
____________________________________________________
→ w = (120 in.³) / (8 in. * 1.5 in.) ;
→ w = (120 in.³) / (12 in.²) ;
→ w = (120/12) in. = 10 in.
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Answer:
y - 7 = 2(x - 1)
Step-by-step explanation:
Going from (-3, -1) to (1, 7), x increases by 4 and y by 8. These numbers are the 'run' and 'rise' of the line, respectively. Thus, the slope of the red line is m = rise/run = m = 8/4 = 2.
Using the point-slope formula and the point (1, 7), we get:
y - 7 = 2(x - 1)
