Answer:
f(x) + g(x) = (-2x + 8)+ 3x
f(x) + g(x) = -2x + 8 + 3x Combine like terms.
f(x) + g(x) = x + 8
f(x) + g(x) = (f+g)(x) = x + 8
(f + g)(-1) = -1 + 8
(f + g)(-1) = 7
Step-by-step explanation:
Using the normal distribution, considering it's symmetry, it is found that the value of C is of 2.19.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean 
and standard deviation 
is given by:
- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
The standard normal distribution has mean and standard deviation given, respectively, by:
.
Hence, considering the symmetry of the normal distribution, the value of c is <u>Z with a p-value of (1 + 0.9715)/2 = 0.98575</u>, hence c = Z = 2.19.
More can be learned about the normal distribution at brainly.com/question/24663213
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Answer:
Next year Aimee will be 13 years old
Step-by-step explanation:
Let's call Aimee's age A, and Jamie's age J.
From the information given, we have that:
A = (1/3) * J
A + 12 = (1/2) * (J + 12)
Using the value of A from the first equation in the second one, we have:
J/3 + 12 = J/2 + 6
J/2 - J/3 = 6
J/6 = 6
J = 36
Now we can find A:
A = (1/3) * 36 = 12
So next year Aimee will be 13 years old
Answer:
- y +4 = (-1/6)(x -9)
- y = -1/6x -2.5
Step-by-step explanation:
The point-slope form of the equation for a line with slope m through point (h, k) is ...
y -k = m(x -h)
For your given values m=-1/6 and (h, k) = (9, -4), your equation is ...
y +4 = (-1/6)(x -9)
__
Solving for y puts this in slope-intercept form.
y = -1/6x +9/6 -4 . . . . eliminate parentheses, subtract 4
y = -1/6x -2.5
