Answer:
m = -12 / 6 = -2 / 1 = -2
So its -2
Answer:
20
Step-by-step explanation:
so we know x+40=3x because opposite angles are congruent so if you solve it out you get x=20
"Completing the square" is the process used to derive the quadratic formula for the general quadratic ax^2+bx+c=0. Suppose you did not know the value of a,b, or c of the quadratic...
ax^2+bx+c=0 You need a leading coefficient of one for the process to work, so you divide the whole equation by a
x^2+bx/a+c/a=0 now you move the constant to the other side of the equation
x^2+bx/a=-c/a now you halve the linear coefficient, square that, then add that value to both sides, ie, (b/(2a))^2=b^2/(4a^2)...
x^2+bx/a+b^2/(4a^2)=b^2/(4a^2)-c/a now the left side is a perfect square...
(x+b/(2a))^2=(b^2-4ac)/(4a^2) now take the square root of both sides
x+b/(2a)=±√(b^2-4ac)/(2a) now subtract b/(2a) from both sides
x=(-b±√(b^2-4ac))/(2a)
It is actually much simpler keeping track of everything when using known values for a,b, and c, but the above explains the actual process used to create the quadratic formula, which the above solution is. :)
It's very easy!
.
First of all, add up all the amounts of all can flavors.
.
What do you think it approximates to?
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I'd say 245.
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Now, how much is 30 out of 245?
.
Around 24%.
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So, what's 245/100? (100 because it is default maximum percentage number)
<span>.
</span>2.45.
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24 divided by 2.45?
.
Around 9%.
.
Your best guess is 10% or D.
Answer:
0.0668 or 6.68%
Step-by-step explanation:
Mean time (μ)= 46 minutes
Standard deviation (σ) = 6 minutes
The z-score for any given time X is determined by:
For X = 37:
A z-score of -1.5 corresponds to the 6.68th percentile of a normal distribution. The probability that it will take less than 37 minutes to complete the test is
The probability is 0.0668 or 6.68%
