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gayaneshka [121]
4 years ago
6

Select the best definitions of population and sample. A sample is the group from whom information is being collected. A populati

on is the larger group the sample represents. A population is a number that describes an entire group. A sample is a number that describes a sub-collection of that group. A sample is the complete group under study. A population is a sub-collection of members selected from the sample A sample is a group selected in such a way that each member has a known chance of being in the group. A population is the larger group the sample represents. A population is the complete group under study. A sample is the sub-collection of members of the population from which data are actually collected.
Mathematics
1 answer:
Elena L [17]4 years ago
4 0

Answer:

A population is defined as the data set which consists of all members of a specified group and the sample contains a part or a subset of a population.

For example : all the students of a school are population. But out of all, how many students play sports is a sample.

Hence, the answer is - A population is the complete group under study. A sample is the sub-collection of members of the population from which data are actually collected.

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Write an equation of the line that passes through the points. (−3, 0), (0, 0)
uranmaximum [27]

\bf (\stackrel{x_1}{-3}~,~\stackrel{y_1}{0})\qquad(\stackrel{x_2}{0}~,~\stackrel{y_2}{0})\\\\\\ slope = m\implies\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{0-0}{0-(-3)}\implies \cfrac{0-0}{0+3}\implies \cfrac{0}{3}\implies 0\\\\\\ \begin{array}{|c|ll}\cline{1-1}\textit{point-slope form}\\\cline{1-1}\\y-y_1=m(x-x_1)\\\\\cline{1-1}\end{array}\implies y-0=0[x-(-3)]\\\\\\y=0(x+3)\implies \blacktriangleright y=0 \blacktriangleleft

8 0
3 years ago
Solve for y: 24x+2y=48 Please show how you did it.
Stella [2.4K]

Answer:

y=24-12x

Step-by-step explanation:

Subtract 24x from both sides.

2y=48−24x

Divide both sides by 2.

2y/2=48-24x/2

Dividing by 2 undoes the multiplication by 2.

y=48-24x/2

Divide 48−24x by 2.

y=24−12x

4 0
3 years ago
What integer is equal to 25 3/2
Ksivusya [100]

Answer:

5.32

Step-by-step explanation:

6 0
4 years ago
Ashley bought 4 packages of juice boxs in each package. She. gave 2 juice boxs to each of her friends. How many juice boxes does
Harlamova29_29 [7]
I am assuming there are more than one juice box in a package so if the amount of juice boxes in each package is X and there are four packages 4X.
So 4X - 2= Answer

If we make it so that there are 6 juice boxes in each package and use the same method this is what we'll get:
24 - 2= 22

22 would be the juice boxes left over.

I hope this answers your question, if it doesn't use the same method with the number of juice boxes in a package.
8 0
3 years ago
The point A, with coordinates (0,a,b) lies on the line l1, which has equation:
Luda [366]

a) The solution of the system is: (λ, a, b) = (- 5, - 11, - 26).

b) The coordinates of the point P are (x, y, z) = (- 16 / 3, - 43, 152 / 3).

c) Vectors <u>AP</u> and <u>PB</u> are <em>collinear</em> for their ends lie on the line. The ratio AP : PB is 83.248 : 73.491 (1.133 : 1).

<h3>How to analyze a line equation in vector form</h3>

a) In this problem we have a equation of the line in <em>vector</em> form, whose form is:

<u>r</u> = (5, 19, - 1) + λ · (1, 6, - 5)

Now we find the value of λ for the case <u>r</u> = (0, a, b):

(0, a, b) = (5, 19, - 1) + λ · (1, 6, - 5)

5 + λ = 0

19 + 6 · λ = a

- 1 + 5 · λ = b

The solution of the system is: (λ, a, b) = (- 5, - 11, - 26).

b) Then, the following condition must be fulfilled:

<u>OP</u> • <u>PB</u> = 0

(5 + λ, 19 + 6 · λ, - 1 + 5 · λ) • [(4, 13, 4) - (5 + λ, 19 + 6 · λ, - 1 - 5 · λ)] = 0

(5 + λ, 19 + 6 · λ, - 1 + 5 · λ) • (- 1 - λ, - 6 - 6 · λ, 5 + 5 · λ) = 0

(5 + λ) · (- 1 - λ) + (19 + 6 · λ) · (- 6 - 6 · λ) + (- 1 + 5 · λ) · (5 + 5 · λ) = 0

- (5 + λ) · (1 + λ) - 6 · (19 + 6 · λ) · (1 + λ) + 5 · (- 1 + 5 · λ) · (1 + λ) = 0

- (5 + 6 · λ + λ²) - 6 · (19 + 25 · λ + 6 · λ²) + 5 · (- 1 + 4 · λ + 5 · λ²) = 0

- 5 - 6 · λ - λ² - 114 - 150 · λ - 36 · λ² - 5 + 20 · λ + 25 · λ² = 0

- 12 · λ² - 136 · λ - 124 = 0

There are two solutions: λ₁ = - 1, λ₂ = - 31 / 3, whose points P are:

<u>r₁</u> = (5, 19, - 1) + (- 1) · (1, 6, - 5)

<u>r₁</u> = (4, 13, 4)

<u>r₂</u> = (5, 19, - 1) + (- 31 / 3) · (1, 6, - 5)

<u>r₂</u> = (- 16 / 3, - 43, 152 / 3)

Then, the coordinates of the point P are (x, y, z) = (- 16 / 3, - 43, 152 / 3).

c) Vectors <u>AP</u> and <u>PB</u> are <em>collinear</em> for their ends lie on the line. The ratio can be found by using the magnitudes of each vector:

Vector AP

<u>AP</u> = (- 16 / 3, - 43, 152 / 3) - (0, - 11, - 26)

<u>AP</u> = (- 16 / 3, - 32, 230 / 3)

AP = √(<u>AP</u> • <u>AP</u>)

AP ≈ 83.248

Vector PB

<u>PB</u> = (4, 13, 4) - (- 16 / 3, - 43, 152 / 3)

<u>PB</u> = (28 / 3, 56, - 140 / 3)

PB = √(<u>PB</u> • <u>PB</u>)

PB ≈ 73.491

The ratio AP : PB is 83.248 : 73.491 (1.133 : 1).

To learn more on lines: brainly.com/question/17188072

#SPJ1

8 0
2 years ago
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