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Amanda [17]
3 years ago
8

Kadence took a random sample of students at her school and asked them how much they typically slept on a school night versus a w

eekend night. She noticed a positive linear relationship between the times. Here is computer output from a least-squares regression analysis on her sample:
Regression: weekend vs school night

Predictor Coef SE Coef
Constant 3.182 2.319
School night 0.789 0.237
S= 1.75 R-Sq= 20.9%

Required:
What is an appropriate test statistic for testing the null hypothesis that the population slope in this setting is 000?
Mathematics
1 answer:
pochemuha3 years ago
3 0

Answer:

The answer is "3.329".

Step-by-step explanation:

Please find the complete question in the attached file.

\text{test statistic t} = \frac{slope}{standard \ error}

                      =\frac{0.789}{0.237}\\\\=3.329

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What are the roots of the equation 16x2 + 40x + 27 = 0 in simplest a + bi form?
bezimeni [28]

9514 1404 393

Answer:

  -5/4 +i(√2)/4 and -5/4 -i(√2)/4

Step-by-step explanation:

I find simplest form to be easier to get to if the leading coefficient is 1. Dividing by 16, we have ...

  x^2 +5/2x +27/16 = 0

Completing the square by adding and subtracting the square of half the x-coefficient, we get ...

  (x^2 +5/2x +25/16) +27/16 -25/16 = 0

  (x +5/4)^2 = 2/16

Subtracting 2/16, taking the square root, and subtracting 5/4 gives ...

  x +5/4 = ±√(-2/16)

  x = -5/4 ±i(√2)/4

The roots are -5/4 +i(√2)/4 and -5/4 -i(√2)/4.

7 0
3 years ago
A triangle has an area of 900m^2 . If a parallelogram has the same height and base as the triangle, what is the area of the para
igor_vitrenko [27]

Answer:

area = 1800 m²

Step-by-step explanation:

area of one triangle = 900 m²

if a parallelogram has the same height and base as the triangle, then that means the area or the two triangle and shaped as a parallelogram

is twice the area given.

area = 900 * 2

area = 1800 m²

6 0
3 years ago
More Literal Expressions, please include the way you worked out.
Artyom0805 [142]

A=h/2(a+b) solver for h

2A=h(a+b)

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4 0
3 years ago
Find the x-intercept and y-intercept of the line.
Mice21 [21]

5y = 6x + 21 \\ y =  \frac{6}{5} x + \frac{21}{5}

y intercept:

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7 0
3 years ago
A rectangular game board measures 126 centimeters by 90 centimeters. The game board is divided into small squares of equal size.
Ivahew [28]
The area of your game board is = 126 * 90 = 11340 cm^2;
A small suares has x^2 his area; where x measure his length;

Prime factorization

11340 | 2
 5670 | 2
 2835 | 5
  567  | 3
  189 | 3
    63 | 3
    21 | 3
      7 | 7
      1

11340 = 2^2 * 3^4 * 5 * 7 = 2^2 * ( 3^2 ) ^ 2 * 5 * 7 = 18^2 * 5 * 7

We observ that the possible length of the side is 18( we have 35 small squares ).
8 0
3 years ago
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