Answer:
m=7
Step-by-step explanation:
Replace all occurrences of + − with a single -. A plus sign followed by a minus sign has the same mathematical meaning as a single minus sign because 1⋅
−
1
=
−
1
7(m-13)=-42
Divide each term by 7 and simplify.
m-13=-6
Move all terms not containing m to the right side of the equation.
m=7
Hope this helps!
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Answer:
Recognize and represent proportional relationships between quantities. Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin.
Step-by-step explanation:
The average annual rainfall will be more than 40.6 inches in about 2.1 percent of the years.
<h3>What is the
average annual rainfall?</h3>
Generally, the equation for the probability is mathematically given as
Therefore
The z score for the probability of 0.979 is 2.034, according to the table of z values.
In the given equation, replace the values of mu and sigma with their respective values, and then solve for x.
In conclusion, The average annual rainfall will be more than 40.6 inches in about 2.1 percent of the years.
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Answer:
Step-by-step explanation:
Since the coefficient of x^2 is positive, this quadratic is a parabola in the shape of a U, hence has a minimum.
We want to end up with the form (x-h)^2 + c. Since (x-h)^2>=0, this form shows that the minimum is achieved when x=h.
Completing the square will put the quadratic in the desired form. Note that:
(x-h)^2=x^2-2hx+h^2
Comparing this with the given form, we must have -8=-2h, or h=4. But we are missing h^2=4^2=16. We can add the missing 16 and subtract it elsewhere without changing the quadratic.
x^2-8x+16 + (16-4) = (x-4)^2 + 12
Now we know that at x=4 the quadratic has a minimum and that the minimum is 12.
The length is 89!!!!!!!!!!!!!!!!!!