Answer:
<h3>
f(x) = - 3(x + 8)² + 2</h3>
Step-by-step explanation:
f(x) = a(x - h)² + k - the vertex form of the quadratic function with vertex (h, k)
the<u> axis of symmetry</u> at<u> x = -8</u> means h = -8
the <u>maximum height of 2</u> means k = 2
So:
f(x) = a(x - (-8))² + 2
f(x) = a(x + 8)² + 2 - the vertex form of the quadratic function with vertex (-8, 2)
The parabola passing through the point (-7, -1) means that if x = -7 then f(x) = -1
so:
-1 = a(-7 + 8)² + 2
-1 -2 = a(1)² + 2 -2
-3 = a
Threfore:
The vertex form of the parabola which has an axis of symmetry at x = -8, a maximum height of 2, and passes through the point (-7, -1) is:
<u>f(x) = -3(x + 8)² + 2</u>
Answer:


Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the grade points avergae of a population, and for this case we know the following properties
Where
and
The empirical rule, also referred to as the three-sigma rule or 68-95-99.7 rule, is a statistical rule which states that for a normal distribution, almost all data falls within three standard deviations (denoted by σ) of the mean (denoted by µ). Broken down, the empirical rule shows that 68% falls within the first standard deviation (µ ± σ), 95% within the first two standard deviations (µ ± 2σ), and 99.7% within the first three standard deviations (µ ± 3σ).
So we can find the z score for the value of X=3.44 in order to see how many deviations above or belowe we are from the mean like this:

So the value of 3.44 is 2 deviations above from the mean, so then we know that the percentage between two deviations from the mean is 95% and on each tail we need to have (100-95)/2 = 2.5% , because the distribution is symmetrical, so based on this we can conclude that:

Answer:
Step 1. Perimeter P means adding up all three sides of a triangle.
Step 2. Then P=s+s+s=3s where s is the length of the side of the equilateral triangle.
Step 3. ANSWER: Perimeter P=3s.
I hope the above steps and explanation were helpful.
Step-by-step explanation:
HOPE THIS HELPS
To make it simple make them all the same fraction
6/24 to trim 4/24 to style and she wants to work for 80/24 hours for 5 days
if each appointment she wants to take 6/24 to trim and 4/24 to style then every appointment will take 10/24 of an hour.
she wants to do 80/24 so she can do 8 appointments a day if each take 10/24
8 appointments a day 5 days a week
8x5= 40
Pikachu is right.
Undetermined Coefficients (that we learn here) only work when f(x) is a polynomial, exponential, sine, cosine, or a linear combination of those.
And,
As we can see that the equation given is a Polynomial,
So, Pikachu is right.
Learn more about Polynomial:
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