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user100 [1]
3 years ago
14

A study examined the alertness benefits of higher caffeine intake. In the study, the researchers investigated the link between d

aily caffeine intake and alertness at work (measured on a 7-point scale where 1-"not alert and 7- 'very alert"). Participants for the study were those who used a popular social networking Web site. Of the respondents, those who had very were excluded, leaving a sample size of 43 respondents. Complete parts a through high or very low intakes c below. b. Do the data represent a population or a sample?
A. The data represent a population since the data are all the units that are the subject of the study
B. The data represent a sample since the data are a subset of units.
C. The data represent a population since the data are a subset of units.
D. The data represent a sample since the data are all the units that are the subject of the study.
Mathematics
1 answer:
Katyanochek1 [597]3 years ago
3 0

Answer: B. The data represent a sample since the data are a subset of units.

Step-by-step explanation:

  • A population is the largest group of entire observations that can be made during a study.
  • A sample is a finite subset of the population that represents the entire population.

Here,

Population = Participants for the study were those who used a popular social networking Web site.

Since the entire data for the "persons used a popular social networking Web site" is not possible.

There have been taken a sample of them.

∴ Correct answer is B. The data represent a sample since the data are a subset of units.

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How much do you earn per week if your annual salary is $40,716?
Sidana [21]

Answer:

783

Step-by-step explanation:

There are 52 weeks in a year. Divide 40,716/52 and you get $783 weekly.

4 0
2 years ago
A filter filled with liquid is in the shape of a vertex-down cone with a height of 9 inches and a diameter of 6 inches at its op
Alina [70]

Answer: Level of the liquid dropping at 28.28 inch/second when the liquid is 2 inches deep.

Step-by-step explanation:

Since we have given that

Height = 9 inches

Diameter = 6 inches

Radius = 3 inches

So, \dfrac{r}{h}=\dfrac{3}{9}=\dfrac{1}{3}\\\\r=\dfrac{1}{3}h

Volume of cone is given by

V=\dfrac{1}{3}\pi r^2h\\\\V=\dfrac{1}{3}\pi \dfrac{1}{9}h^2\times h\\\\V=\dfrac{1}{27}\pi h^3

By differentiating with respect to time t, we get that

\dfrac{dv}{dt}=\dfrac{1}{27}\pi \times 3\times h^2\dfrac{dh}{dt}=\dfrac{1}{9}\pi h^2\dfrac{dh}{dt}

Now,  the liquid drips out the bottom of the filter at the constant rate of 4 cubic inches per second, ie \dfrac{dv}{dt}=-4\ in^3

and h = 2 inches deep.

-4=\dfrac{1}{9}\times \pi\times (2)^2\dfrac{dh}{dt}\\\\-9\pi =\dfrac{dh}{dt}\\\\-28.28=\dfrac{dh}{dt}

Hence, level of the liquid dropping at 28.28 inch/second when the liquid is 2 inches deep.

7 0
3 years ago
What is the slope of the line that passes through the points (7.-12) and (-9,36)?​
REY [17]

Answer:

Step-by-step explanation:

m = slope where

m = rise / run

rise = y2 - y1  

run = x2 - x1

where  

the given point P1 = (7, -12)

and is in the form of (x1,y1)  

and

the given point P2 = (-9,36)  

is  in   the   form  of   (x2,y2)

then

m =  ( y2 - y1 ) / ( x2 - x1 )

m = ( 36 - (-12) ) / ( -9 -7 )

m = ( 36 + 12 ) /  ( - 16 )

m =  48 /  - 16

m = - 3

the slope is negative 3

slope = - 3

4 0
3 years ago
Please explain the problem to me step by step​
JulijaS [17]
<h3>Solution:</h3>

\frac{4y}{9}  -  \frac{2y}{3}  = 10 \\  =  >  \frac{4y - 6y}{9}  = 10 \\  =  >  \frac{ - 2y}{9}  = 10 \\  =  > y = 10 \times  \frac{9}{ - 2}  \\  =  > y =  - 5 \times 9 \\  =  > y =  - 45

<h3>Answer:</h3>

-45

5 0
3 years ago
Factor x2+4x+3.
Alexxx [7]

Answer:

c. (x +3)(x + 1)

Step-by-step explanation:

Factoring an equation is a way of expressing an equation as the product of other linear expressions. The following expression,

x^2 +4x +3

Can be represented as the product of the following,

(x+3)(x+1)

To check this, one can distribute, one of the expressions over the other, then simplify, the result should be the starting expression,

(x+3)(x+1)\\

Distribute,

(x)(x)+(1)(x)+(3)(x)+(3)(1)

Simplify,

x^2 +x +3x + 3\\

x^2 +4x +3

8 0
3 years ago
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