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user100 [1]
4 years ago
8

A research organization wanted to estimate the average number of hours a college student sleeps per night during the school year

. After randomly sampling 150 college​ students, the research organization determined the following​ 95% confidence​ interval: (7.1,7.5)​ hours/night. What is the value of the average number of hours slept per night during the school year for these 150 college​ students?
Mathematics
1 answer:
Alekssandra [29.7K]4 years ago
4 0

Answer:

Step-by-step explanation:

Given given that

  • Lower confidence interval = 7.1
  • Upper confidence interval = 7.5
  • As such, We are 95% confident that it's somewhere between 7.1 and 7.5 hours per night

Average value = LCI + UCI /2 = 7.1 + 7.5 / 2

= 7.3hours per night, so we are 95% confident that it's somewhere between 7.1 and 7.5 hours per night which is eventually 7.3hrs per night.

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Describe the nature of the roots for this equation.
kirza4 [7]

Answer:

Option D. two complex roots

Step-by-step explanation:

we know that

In a quadratic equation of the form ax^{2} +bx+c=0 the discriminant D is equal to

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in this problem we have

3x^{2} -2x+1=0  

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substitute the values

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3 years ago
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Anna71 [15]

The point-slope form:

y-y_1=m(x-x_1)

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The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (5, 4) and (2, -2). Substitute:

m=\dfrac{-2-4}{2-5}=\dfrac{-6}{-3}=2

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y=2x-6  - <em>slope-intercept form</em>

y=2x-6      <em>subtract 2x from both sides</em>

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

From the table we have two points (1, 3) and (2, 7). SubstituteL

m=\dfrac{7-3}{2-1}=\dfrac{4}{1}=4

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y-3=4x-4     <em>add 3 to both sides</em>

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y=4x-1      <em>subtract 4x from both sides</em>

-4x+y=-1     <em>change the signs</em>

4x-y=1    - <em>standard form</em>

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