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Natali [406]
2 years ago
7

3.) If you deposit $4,000 for 6 years at a simple interest rate of 6%, how much will be in the account?

Mathematics
1 answer:
jeka57 [31]2 years ago
5 0
6 x -y equals two times nine
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At Hogwarts School of Witchcraft and Wizardry, Professor Snape was concerned about grade inflation, and suggested that the schoo
ExtremeBDS [4]

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

=====================================================

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.

----------------------------

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.

3 0
1 year ago
A Ladder that is 32 ft long leans against a building. The angle of elevation of the ladder is 70 degrees. To the nearest tenth o
kolezko [41]
See the picture attached to better understand the problem

we know that
in the right triangle ABC
sin 70°=opposite side angle 70°/hypotenuse


in this problem
opposite side angle 70°=AB
hypotenuse=AC----> 32 ft
sin 70°=AB/32------> AB=32*sin 70°-----> AB=30.07 ----> AB=30.1 ft


4 0
3 years ago
Read 2 more answers
Which numbers will round to 19 when they are rounded to the nearest whole number?
Nonamiya [84]

Answer:

18.82 , 19.33 , 19.46

Hope this helps :)

6 0
3 years ago
Read 2 more answers
Ashley used 24 cm of tape to wrap 6 presents how many presents did ashley wrape with 44cm of tape
nekit [7.7K]

Answer:

11 packages

Step-by-step explanation:

24/6=4

44/4=11

4 0
2 years ago
The sum of the measures of the angles is 180. The sum of the measures of the second and third angles is two times the measure of
grigory [225]
<h2>60,47,73</h2>

Step-by-step explanation:

Let the first angle be a degrees

Let the second angle be b degrees

Let the third angle be c degrees

It is given that sum of angles is 180 degrees.

so,a+b+c=180                      ...(i)

It is given that sum of the measures of the second and third angles is two times the measure of the first angle.

b+c=2\times a                     ...(ii)

It is given that the third angle is 26 more than the second.

c=26+b                                ...(iii)

using (ii) and (iii),

b+b+26=2a

b+13=a

using (i),(ii) and (iii),

a+b+c=a+a-13+26+b=a+a-13+26+a-13=3a

3a=180

a=60

b=a-13=60-13=47

c=26+b=26+47=73

3 0
3 years ago
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