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rewona [7]
3 years ago
9

Ms. Haven recorded the number of homework assignments her students completed

Mathematics
1 answer:
STatiana [176]3 years ago
3 0

Answer:

(6, 97) is the outlier.

Step-by-step explanation:

When we have a data set:

x: x₁, x₂, x₃, ..., xₙ

y: y₁, y₂, y₃, ..., yₙ

Each one of the pairs (x₁, y₁), (x₂, y₂), etc, is an ordered pair that belongs to the data set.

Usually, these values are distributed in some way that, we assume, is normalized. So if one of these ordered pairs is really different from the others, then that pair is called an "outlier".

In the data set, we have:

Number of homework completed vs Score assigned.

You can see that, as the number of homework completed increases, also does the score

For example, for the smaller number of homework completed, (5) the score is 67, the minimum score.

And as the number of homework completed reaches to 10, the score increases to 90 or 98.

But there is an outlier there, you can see that a student that only completed 6 times the homework, has a score of 97 (one of the largest scores) (this score is more than all the scores for the students with 6, 7, 8 and 9 completed homeworks) so we can conclude that this one is the outlier.

(6, 97) is the outlier.

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9) Janelle has $20 and is saving $6 per week. April has $150 and is spending $4 per week. When will
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Answer:

13 weeks; 98 dollars.

Step-by-step explanation:

Let's say x represents the number of weeks, and y the number of dollars. For Janelle, an equation to find out how much money she has is y = 20 + 6x. For April, the equation is y = 150 - 4x. Now we need to find how long it will take them to have the same amount of money, and how much that is. A new equation to figure that out is 150 - 4x = 20 + 6x. To solve, make it so the variable is only one side. Add 4x to both sides. You now get 150 = 20 + 10x. Then we continue solving. Subtract 20 from both sides to get 130 = 10x. Then divide both sides by 10 to get 13 = x. This means in thirteen weeks, they will have the same amount of money. To find out how much money they have, choose one (or both to be sure) of the equations and solve for y. For example, Janelle's equation is y = 20 + 6x. Fill in 13 for x to get y = 20 + 6(13). y = 20 + 78. y = 98. This means in 13 weeks, Janelle will have 98 dollars. To be sure, also check with April's equation. y = 150 - 4x. y = 150 - 4(13). y = 150 - 52. y = 98. Therefore, in 13 weeks, both people will have 98 dollars.

7 0
3 years ago
PLEASE HELP ME ASAP!!!!!
melomori [17]
Circumference = 2 * PI * radius
Circumference = 2 * PI *14
Circumference = <span> <span> <span> 87.9645943005 feet</span></span></span>
96 degrees is (96/360) of a circle = <span> <span> <span> 0.266666666</span></span></span>
<span><span><span /></span></span>
The distance traveled is 87.9645943005 * <span>0.266666666 =</span>
<span /> <span> <span> <span> 23.4572251468 </span> </span> </span> feet =
23.46 feet
<span><span /></span>
<span><span> </span> </span>
7 0
3 years ago
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