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kolezko [41]
3 years ago
6

Please help asap nobody else has answered my other questions. thanks! answer question 2 please!

Mathematics
1 answer:
zzz [600]3 years ago
8 0

Answer:

15

Step-by-step explanation:

To find the y intercept set x=0

You are given two points: (7,-6)(-4,27)

y=mx+b

y2-y1=x2-x1

x1=7

y1=-6

x2=-4

y2=27

27-(-6)/-4-7=27+6/-4-7=33/-11=-3

y=-3x+b

-6=-3(7)+b

-6=-21+b

+21 +21

b=15 so, y=-3x+15

PLUG IN O TO THAT EQUATION

y=-3(0)+15

Your y intercept would be 15

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An instructor in a college class recently gave an exam that was worth a total of 100 points. The instructor inadvertently made t
solniwko [45]

Answer:

B) Method 2 will increase the standard deviation of the students' scores.

Step-by-step explanation:

Given that an instructor in a college class recently gave an exam that was worth a total of 100 points.

The average score for his students was 43 and the standard deviation of the scores was 5 points.

And now he is considering two different strategies for rescaling the exam results of which:

Method 1 = Add 17 points to everyone's score.

Method 2 = Multiply everyone's score by 1.7 .

And we have to check what will be the impact of these methods on the standard deviation of the students' scores.

For this let us consider a simple example to understand this:

Firstly, Formula for calculating Standard Deviation =  \sqrt{\frac{\sum (X-Xbar)^{2}}{n-1}}

Suppose,

     X             X - Xbar       (X - Xbar)^{2}

     3              3 - 6 = -3         -3 * -3 = 9

     5              5 - 6 = -1          -1 * -1 = 1

     10            10 - 6 = 4          4 * 4 = 16

<em>Mean of above data, Xbar</em> = \frac{3+ 5+10}{3} = 6

<em>Standard Deviation of data </em>= \sqrt{\frac{26}{3-1} } = 3.6055

Now let us suppose that we multiply each value of above data with 2 so the new data will be:

     X                X - Xbar           (X - Xbar)^{2}

 3*2 = 6        6 - 12 = -6         -6 * -6 = 36

 5*2 = 10       10 - 12 = -2       -2 * -2 = 4

10*2 =20      20 - 12 = 8         8 * 8 = 64

<em>Mean of new data, Xbar </em>= \frac{6+ 10+20}{3} = 12

<em>Standard Deviation of new data</em> = \sqrt{\frac{104}{3-1} } = 7.2111

<em>Hence, we see that when we multiply any value to the data the standard deviation will increase and in other words it will multiplied by that value which value we multiplied with each data value i.e. when we multiply each data value with 2 the standard deviation also get multiplied by as </em>

  3.6055 * 2 = 7.2111

Therefore option B is correct that Method 2 will increase the standard deviation of the students' scores.

<em>And on the other hand Similarly by adding any constant to the data the Standard Deviation will remain same. Therefore Method 1 will have no impact on standard deviation of the students' scores.</em>

8 0
3 years ago
If I have a 93% as my subject grade and I get an 68% percent on a quiz as a quiz grade, what is my final subject grade.
trapecia [35]

Answer:

Password for the 1hdhhdhfhdhrhehjfujdjwjwjdjhf

Step-by-step explanation:

4 0
3 years ago
Find the area of the figure. please help my teacher is waiting.......
katrin [286]

Answer:

The area of the shape is 89m²

Step-by-step explanation:

You need to subtract the area of the empty triangle from the area of the rectangle.

The rectangle's area is 13m × 8m = 104m²

The triangle's area is (6m × (13 - 8)m) / 2 = (6 × 5) / 2 m² = 15m²

Subtract the triangle's area from the rectangle:

104m² - 15m²

= 89m²

7 0
2 years ago
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9966 [12]
The answer to your question would be A
7 0
3 years ago
Factor the polynomials 23−162
masha68 [24]

Answer:

-139

Step-by-step explanation:

23-162=

-139

3 0
2 years ago
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