The area of the frame would be 19.25’
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.
The answers to the questions are:
1. x = 4
2. x = 1.5
3. x = 1.875
4. x = 1
<h3>2 step equation:</h3>
1. 4x + 3 = 19
4x = 19 - 3
4x = 16
divide by 4
x = 4
<h3>2 step equation w/ fractions:</h3>
(4/3)x + 5 = 17
= 1.33x + 5 = 7
Take like terms
1.33x = 7-5
1.33x = 2
divide through by 1.33x to get 2
x = 2/1.33
x = 1.5
<h3>3. Distributive Property:</h3>
4x(6 - 2) - 10 = 20
Multiply and open the bracket
24x - 8x - 10 = 20
Take like terms
16x = 20+10
16x = 30
x = 30/16
= 1.875
<h3>4. Decimals:</h3>
4.3x + 0.7 = 5
4.3x = 5 - 0.7
4.3x = 4.3
x = 1
Read more on distributive properties here:
brainly.com/question/2807928
#SPJ1
Answer:
Option b
Step-by-step explanation:
To represent this proportion using fractions, let the numerators be the number of waffles sold and denominator, the number of sugar cones.
Thus, the proportion that can be used to represent the cone sales is
14/6 = 7/3
Answer:
No
Step-by-step explanation:
The lines arent equal
