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mezya [45]
3 years ago
14

Smallville High School's Principal is concerned about his school’s Advanced Placement (AP) test scores. He wonders if there is a

relationship between the students’ performance in class and their AP test scores so he randomly selects a sample of ten students who took AP examinations and compares their final exam scores to their AP test scores. .
AP Score: 5 1 4 2 1 4 2 1 3 5

Final Score %: 97 70 84 66 62 79 73 63 82 90

Create an equation and graph using the points: (5, 97), (1, 70), (4, 84), (2, 66), (1, 62), (4, 79), (2, 73), (1, 63), (3, 82), and (5, 90). Use the equation of your line of best fit to predict the final exam score of another Smallville HS student who scored a 3 on their AP test.​
Mathematics
1 answer:
vichka [17]3 years ago
4 0

Answer:

use your calculator

Step-by-step explanation:

To calculate the Linear Regression (ax+b): Press [STAT] to enter the statistics menu. Press the right arrow key to reach the CALC menu and then press 4: LinReg(ax+b). Ensure Xlist is set at L1, Ylist is set at L2 and Store RegEQ is set at Y1 by pressing [VARS] [→] 1:Function and 1:Y1.

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7. In a quiz bee, Marlon scored 132 points during the first round. This score was thrice as much as his score during the second
podryga [215]

Answer:

II + III = 176

II = 44

III = 132

Step-by-step explanation:

Third round: 132

Second round: 3x=132

x=44 (second round)

2rounds: 132+44=176

4 0
2 years ago
Factor the expression <br> 5x^2 -22x -15
Murljashka [212]
5x^2-22x-15=5x^2\underbrace{-25x+3x}_{-22x}-15\\\\=(5x^2-25x)+(3x-15)=5x(x-5)+3(x-5)\\\\=\boxed{(x-5)(5x+3)}

3 0
3 years ago
Use the discriminant to predict the nature of the solutions to the equation 4x-3x²=10. Then, solve the equation.
AleksandrR [38]

Answer:

Two imaginary solutions:

x₁= \frac{2}{3} -\frac{1}{3} i\sqrt{26}

x₂ = \frac{2}{3} +\frac{1}{3} i\sqrt{26}

Step-by-step explanation:

When we are given a quadratic equation of the form ax² +bx + c = 0, the discriminant is given by the formula b² - 4ac.

The discriminant gives us information on how the solutions of the equations will be.

  1. <u>If the discriminant is zero</u>, the equation will have only one solution and it will be real
  2. <u>If the discriminant is greater than zero</u>, then the equation will have two solutions and they both will be real.
  3. <u>If the discriminant is less than zero,</u> then the equation will have two imaginary solutions (in the complex numbers)

So now we will work with the equation given: 4x - 3x² = 10

First we will order the terms to make it look like a quadratic equation ax²+bx + c = 0

So:

4x - 3x² = 10

-3x² + 4x - 10 = 0 will be our equation

with this information we have that a = -3 b = 4 c = -10

And we will find the discriminant: b^{2} -4ac = 4^{2} -4(-3)(-10) = 16-120=-104

Therefore our discriminant is less than zero and we know<u> that our equation will have two solutions in the complex numbers. </u>

To proceed to solve the equation we will use the general formula

x₁= (-b+√b²-4ac)/2a

so x₁ = \frac{-4+\sqrt{-104} }{2(-3)} \\\frac{-4+\sqrt{-104} }{-6}\\\frac{-4+2\sqrt{-26} }{-6} \\\frac{-4+2i\sqrt{26} }{-6} \\\frac{2}{3} -\frac{1}{3} i\sqrt{26}

The second solution x₂ = (-b-√b²-4ac)/2a

so x₂=\frac{-4-\sqrt{-104} }{2(-3)} \\\frac{-4-\sqrt{-104} }{-6}\\\frac{-4-2\sqrt{-26} }{-6} \\\frac{-4-2i\sqrt{26} }{-6} \\\frac{2}{3} +\frac{1}{3} i\sqrt{26}

These are our two solutions in the imaginary numbers.

7 0
3 years ago
Divide 7 by 10 the write answer as a fraction
mash [69]

1/7

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
The perimeter of a parallelogram is 72 meters. The width of the parallelogram is 4 meters less than its length. Find the length
mafiozo [28]
Perimeter of a parallelogram = 2(l + w). But w = l - 4
Therefore, 72 = 2(l + l - 4) = 2(2l - 4) = 4l - 8
4l = 72 + 8 = 80
l = 80/4 = 20
w = 20 - 4 = 16

Therefore, length = 20 meters and width = 16 meters
7 0
3 years ago
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