Answer:
B
Step-by-step explanation:
You can read this as "find g of f of 2"
Also written as g(f(2)).
What we're doing is is looking at the function <em>f</em> and getting the value when you input 2. <em>f(2)</em>
Since the function f is the curved one, you will find the coordinate where the input is 2. At input 2 or x=2, we get the value of 0.
Now back to g(f(2)) -- Because we have found the value of <em>f</em> when it is 2, we can replace this equation with:
g(0)
Now we find the value we get from g when we put 0 as the input. When 0 is our input, or when our x is 0, we see the point of g is (0,2) so our output is 2.
Answer:
A
Step-by-step explanation:
I will edit and add my explanation
The 3 and 2 are both positive if the information that was given in the screenshot is standalone.
So if the numerals are both positive, they must be traveling to the right because the number line is increasing towards the right.
We can narrow the choices down to A and C because they both move right.
Since neither of the numbers are negative, it must start from the center 0 and increase, so it must be A.
3 * 2 is also 6, so it must end on 6.
Answer: -24x^3
(the dot means multiplying right)
Answers:
The z scores are approximately:
- Care of Magical Creatures: z = 0.333
- Defense Against the Dark Arts: z = 0.583
- Transfiguration: z = -0.263
- Potions: z = -0.533
From those scores, we can say:
- Best grade = Defense Against the Dark Arts
- Worst grade = Potions
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Further Explanation:
We'll need to convert each given score to a corresponding standardized z score.
The formula to use is
z = (x - mu)/sigma
where,
- x = given grade for each class
- mu = mean
- sigma = standard deviation
Let's find the z score for the Care of Magical Creatures class
z = (x - mu)/sigma
z = (3.80 - 3.75)/(0.15)
z = 0.333 approximately
Repeat this process for the Defense Against the Dark Arts score.
z = (x - mu)/sigma
z = (3.60 - 3.25)/(0.60)
z = 0.583 approximately
And for the Transfiguration class as well
z = (x - mu)/sigma
z = (3.10 - 3.20)/(0.38)
z = -0.263 approximately
The negative z score means his grade below the average, whereas earlier the other scores were above the average since he got positive z scores.
Now do the final class (Potions) to get this z score
z = (x - mu)/sigma
z = (2.50 - 2.90)/(0.75)
z = -0.533 approximately
This grade is below average as well.
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To summarize, we have these z scores
- Care of Magical Creatures: z = 0.333
- Defense Against the Dark Arts: z = 0.583
- Transfiguration: z = -0.263
- Potions: z = -0.533
Harry did his best in Defense Against the Dark Arts because the z score of 0.583 (approximate) is the largest of the four z scores. On the other hand, his worst grade is in Potions because -0.533 is the lowest z score.
Well u would times $1.16 by 5 and then u get the answer
