Mathematics High School

Match the vocabulary word to its correct definition.

1. mean
The mean is the average value of the data you collect. In statistics, you find the mean of your sample. Then you use that mean to approximate the mean of the entire population. If you want the mean of the data to be a good approximation of the mean of the entire population, your need to make sure that you collect a random sample. To find the mean, you find the sum of the data points you collected and divide it by the number of data points in the set. For example, if the data you collected was {3, 3, 6}. Then the mean would be (3 + 3 + 6) ÷ 3 = 12 ÷ 3 = 4. It's important to note that the mean does not have to be a data point in your set. You can generalize the formula as well. If you collect n data points {d1, d2, d3, … dn}, then the mean of your data set is . The Greek letter μ—pronounced "mu"—is used because the word "mean" begins with the letter "m." It is important that you divide by the number of data points in your set, n.
2. population
An experiment is a well-defined procedure under controlled conditions designed to gather data that tests a hypothesis. For example, you want to test the hypothesis that flowers grow faster when they are watered every other day as opposed to every day. Then you could water one set of plants every day and another set of plants every other day. What data would you collect? The height of each plant once a day. What conditions would you need to control? You would need to make sure that the groups of plants are treated the same in every other way by getting the same amount of sun and being maintained at the same temperature, etc.
3. experiment
Bias is the preference for a particular group or subset. In the example above, the bias was toward viewers who like sports. When your sample is not chosen at random, you introduce bias into your study. So, in a certain sense, a biased sample is the opposite of a random sample. Why? In a biased sample, some members of the population are more likely to be chosen than others. In a random sample, every member of the population is equally likely to be chosen. Bias may also occur in surveys. See "survey" below for more information on this type of bias.
4. sample
A population is the entire group you want to understand. So, in a certain sense, you can think of the population as the "opposite" of the sample because a sample is not the entire population. A sample is chosen subset upon that you use to draw conclusions about the entire population.
5. bias
Random means free from bias. So, if you choose a random sample from a population, every member of the population has an equal chance of being chosen. It should be pointed out that this "true randomness" is an ideal which is difficult to achieve in real world experiments conducted on real world populations. That is why statisticians make every effort to ensure their samples chosen as free from bias as is possible, that is, as randomly as possible under real world conditions.
6. survey
A sample is a subset chosen from a population. In most cases, you want a random sample. Why? A random sample has the best chance of accurately representing the entire population.
7. random
A survey is the means of collecting a sample. In statistics, a survey is often a question or set of questions. It is critical that the questions, like the sample itself, be free from bias. Bias in a question tends to favor one response. As an extreme example of a biased question about colors might be, "Don't you think blue is beautiful and yellow is yucky?" An unbiased form of the question might be, "Which color do you prefer, blue or yellow?" Though careful, statisticians might be concerned about the order in which the colors are offered, so that might further simplify the question to, "What is your favorite color?" This type of question is most free from bias because it does not suggest a response and therefore does not favor a response.

Answers

Answer 1

Answer:

1. mean-The mean is the average value of the data you collect. In statistics, you find the mean of your sample. Then you use that mean to approximate the mean of the entire population. If you want the mean of the data to be a good approximation of the mean of the entire population, your need to make sure that you collect a random sample. To find the mean, you find the sum of the data points you collected and divide it by the number of data points in the set. For example, if the data you collected was {3, 3, 6}. Then the mean would be (3 + 3 + 6) ÷ 3 = 12 ÷ 3 = 4. It's important to note that the mean does not have to be a data point in your set. You can generalize the formula as well. If you collect n data points {d1, d2, d3, … dn}, then the mean of your data set is . The Greek letter μ—pronounced "mu"—is used because the word "mean" begins with the letter "m." It is important that you divide by the number of data points in your set, n.

2. Population-A population is the entire group you want to understand. So, in a certain sense, you can think of the population as the "opposite" of the sample because a sample is not the entire population. A sample is chosen subset upon that you use to draw conclusions about the entire population.

3. Experiment-An experiment is a well-defined procedure under controlled conditions designed to gather data that tests a hypothesis. For example, you want to test the hypothesis that flowers grow faster when they are watered every other day as opposed to every day. Then you could water one set of plants every day and another set of plants every other day. What data would you collect? The height of each plant once a day. What conditions would you need to control? You would need to make sure that the groups of plants are treated the same in every other way by getting the same amount of sun and being maintained at the same temperature, etc.

4. Sample-A sample is a subset chosen from a population. In most cases, you want a random sample. Why? A random sample has the best chance of accurately representing the entire population.

5. Bais-Bias is the preference for a particular group or subset. In the example above, the bias was toward viewers who like sports. When your sample is not chosen at random, you introduce bias into your study. So, in a certain sense, a biased sample is the opposite of a random sample. Why? In a biased sample, some members of the population are more likely to be chosen than others. In a random sample, every member of the population is equally likely to be chosen. Bias may also occur in surveys. See "survey" below for more information on this type of bias.

6. Survey-A survey is the means of collecting a sample. In statistics, a survey is often a question or set of questions. It is critical that the questions, like the sample itself, be free from bias. Bias in a question tends to favor one response. As an extreme example of a biased question about colors might be, "Don't you think blue is beautiful and yellow is yucky?" An unbiased form of the question might be, "Which color do you prefer, blue or yellow?" Though careful, statisticians might be concerned about the order in which the colors are offered, so that might further simplify the question to, "What is your favorite color?" This type of question is most free from bias because it does not suggest a response and therefore does not favor a response.

7. Random-Random means free from bias. So, if you choose a random sample from a population, every member of the population has an equal chance of being chosen. It should be pointed out that this "true randomness" is an ideal which is difficult to achieve in real world experiments conducted on real world populations. That is why statisticians make every effort to ensure their samples chosen as free from bias as is possible, that is, as randomly as possible under real world conditions.

Step-by-step explanation:

It says what each of them are in each paragraph, you just need to match them up.

Hope this helps :)

Related Questions

NEED HELP ASAP I HAVE 3 MINS

Answers

Answer:

Step-by-step explanation:

System of a equation has no solution when both the lines are parallel.

In other words, if the equations of a system have equal slopes there will be no solution.

1). x + 4y = 23

   4y = -x + 23

   [tex]y=-\frac{1}{4}x+23[/tex] ------(1)

   -3x = 12y + 1

   12y = 3x - 1

    [tex]y=\frac{1}{4}x-\frac{1}{12}[/tex] -------(2)

Since, both the equations have different slopes, system will have at least one solution.

2). 2x + 4y = 22 -----(1)

    -x = 2y - 11

    -x - 2y = -11

    x + 2y = 11

    2x + 4y = 22 ------(2)

   Since, both the equations are same, there will be infinite number of solutions.

3). 2x + y = 15 ------(1)

    x = 15 - 2y

    x + 2y = 15 -----(2)

   Both the equations are different, therefore system of equations will have at least one solution.

4). 2x + y = 17 ------(1)

    -4x = 2y - 34

    -4x - 2y = -34

    2x + y = 17 -----(2)

   Both the equations are different, therefore, system of equations will have infinite solutions.

5). 3y = 10 - x

    x + 3y = 10

    2x + 6y = 20 -------(1)

    2x + 6y = 7 ---------(2)

    Since, both the lines are parallel (Same slopes), system will have no solution.

6). y = 13 - 2x ------(1)

   4x - y = -1

   -y = -4x - 1

   y = 1 + 4x --------(2)

   Since, both the equations are different, system of equations will have at least one solution.

First one gram equals 1000 grams, so a 39 kilogram equals 39000 grams. Then, 1000 pillows times 300 equals a 39 kilogram sofa. Is my answer correct?

Answers

Answer:

No

Step-by-step explanation:

Kilogram is the unit of weight. Kilogram is the measure of how much matter or the mass an object has in it. Kilogram is the bigger unit of measurement while gram and milligram are the smaller units to measure the weight of any object.

We know,

1 kilogram = 1000 gram x 1

So, 1000 gram is equal to 1 kilogram

That means, 39,000 gram is equal to 39 kilogram.

In the question it is asked whether 1000 pillows times 300 is equal to 39 kilogram sofa or not.

The answer is not correct, because we do not know the weight of the 1000 pillows.

And also, 1000 x 300 will give you 300,000 and not 39 kilogram or 39,000 grams.

HELP PLS
The function g(x) = x² is transformed to obtain function h:
h(x) = g(x + 7).
Which statement describes how the graph of h is different from the graph of g?
​

Answers

Answer:

C

Step-by-step explanation:

Consider f(x) = x^3 and g(x) = (x+1).

Every point is then shifted to the left. Why?

We can plug in some points, let's say x=0.

For f(x), we get 0, for for g(x), we get 1.

Normally, f(x) = 1 when x = 1, but now g(x) = 1 at x = 0. Basically, every point is now shifted left. It's a general rule you have to remember. Sometimes, I used to mix up the plus and minus signs becuase + intuitively for me (at least after doing some physics) is right. But it actually shifts the graph to the left. Just plug in some points and see for yourself. It's honestly the best explanation I can give you at this point in time.

Find the surface area of the solid given the net

Answers

Surface area = 17*(sqrt(1155) + 19)

h^2 = 19^2 - 17^2/4
=> h = sqrt(4*19^2 - 17^2)/2 = sqrt(1155)/2
Surface area = 4(1/2*h*17) + 17*19 = 17(sqrt(1155) + 19)

-2b^2-18b^2
Help me. Plz

Answers

Answer:

[tex]{ \tt{ - {2b}^{2} - 18 {b}^{2} }} \\ = - {20 {b}^{2}} [/tex]

A 90 ° angle is divided into 2 angles. Find the size of the angles. 5x+10 and 6x-41 Not drawn to scale

Answers

Answer:

65 and 25

Step-by-step explanation:

90=(5x+10)+(6x-41)

121=11x

11=x

Going back to the angles:

5(11)+10

=55+10

=65 this is the first angle

6(11)-41

=66-41

25 this is the second angle

Write a formula that connects the number of sides of the end face,
S
, with the number of vertices,
V
.
Hence, find the number of vertices of a prism whose cross-section is a 30-sided polygon.

Answers

Answer:

56

Step-by-step explanation:

Euler theorem is a theorem used to show the relationship between the face, vertices and edge of a three dimensional shape (polyhedron)

Euler theorem is given as:

Face + vertex = Edge + 2

We can prove this theorem using the table attached.

For triangular prism: 5 + 6 = 9 + 2

For rectangular prism: 6 + 8 = 12 + 2

For pentagon prism: 7+ 10 = 15 + 2

For hexagonal prism: 8 + 12 = 18 + 2

The relationship between the vertex and face is:

vertex = face + (face - 4)

Therefore, for a prism with 30 sides, that is 30 faces, we have:

vertices = 30 + (30 - 4) = 30 + 26 = 56

Subtract the second equation from the first.

Answers

Answer:

2y = 8

Step-by-step explanation:

4x+3y = 17

- ( 4x+y = 9)

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

Distribute the minus sign

4x+3y = 17

-  4x -y =- 9

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

  0x +2y = 8

Answer:

2y = 8

Step-by-step explanation:

4x+3y=17

-4x-y=9

_______

0+2y=8

2y=8

Find the volume of this object.
Use 3 for i.
Volume of a Cone
V=7r2h
3
Volume of a
Rectangular Prism
V = (wh
cmi
5 cm
6 cm
1 cm
V~ [?]cm3
12 cm
Enter

Answers

Answer:

125.97

Step-by-step explanation:

We’ll start by the cone

We first have to know how to calculate the volume of a cone

V = pi(r^2)(h)/3 where r = radius & h = height

But since we’re only seeing a diameter of 6 cm in the bottom of the cone, we’ll need to divided 6 by 2

Radius = 3

Then we can start solving for the volume of the cone!

V = pi(3^2)(7)/3

V = pi(9)(7)/3

V = pi(63)/3

V = 197.82…/3

V = 65.97

The volume of the cone is approximately 66 cm

Now for the Rectangular Prism:

V = l • w • h where l = length w = width and h = height

V = 12 • 5 • 1
V = 60 • 1
V = 60

Finally add each of the volumes!

65.97 + 60 = 125.97

The volume of the object is approximately 126 cm

Can someone please help me solve this problem

Answers

Step-by-step explanation:

Step 1:  After adding 875 to both sides of the original equation, you get

[tex]x^2+10x+\text{ ----- }=875[/tex]

Step 2: b is the coefficient of the x term, so b = 10.  Divide in half (always half for completing the square!).

[tex]\frac{10}{2}=5[/tex]

Square that result to get 25.  That's c, the amount to add to both sides of the equation.

Step 3:  Adding c to both sides produces

[tex]x^2+10x+25=875+25[/tex]

Step 4: The result of Step 3 is [tex]x^2+10x+25=900[/tex], and the left side factors as a perfect square.

[tex](x+5)^2=900[/tex]

Step 5: After taking square roots of both sides, you get

[tex]x+5=\pm 30[/tex]  which represents "two equations in one."

Separate them.

[tex]x+5=30 \text{ or } x+5 =-30\\x=25 \text{ or } x=-35[/tex]

Roma swims at a rate of 54 metre per minute. At this rate how long does she take to swim 270 metre ?​

Answers

Answer:

Step-by-step explanation:

54 times 270 = 14580

On a number line 8.2 would be located where

Answers

Answer:

Step-by-step explanation:

8.2 comes between 8 and 9

8.2 = [tex]8\frac{2}{10}[/tex].

As you know, the interval between 8 and 9 is divided into 10 equal parts and each part is 1/10 or 0.1.

The sales tax in a certain city is 2%. A man buys a camera and pays a sales tax of $3.20. What was the cost of the camera, exclusive of the sales tax?

Answers

Divide the amount of tax by the rate of tax.

3.20 / 0.02 = 160

The cost of the camera is $160

If the sales tax in a certain city is 2% and man paid sales tax of $3.20 then the cost of the camera, exclusive of sales tax is $156.80.

What is sales tax?

Sales tax is the tax that is paid by buyer to seller on the amount of goods sold.

How to find cost?

We have been given that sales tax in a certain city is 2% and sales tax paid by man for camera is $3.20 and we have to find the cost of the product excluding sales tax.

Sales tax=tax percentage*total price

3.20=2/100*total price

Total price=3.20*100/2

=$160

Price excluding sales tax=total price - sales tax

=160-3.20

=157.80

Hence if the sales tax in a certain city is 2% and man paid sales tax of $3.20 then the cost of the camera, exclusive of sales tax is $156.80.

Learn more about sales tax at https://brainly.com/question/9437038

#SPJ2

using the graph, determine the coordinates of the roots of the parabola​

Answers

Answer:

x = 1, x = 7

Step-by-step explanation:

The roots are the values of x where the graph crosses the x- axis

The graph crosses the x- axis at 1 and 7 , then

the roots are x = 1, x = 7

Answer:

(1,0) and (7,0)

Step-by-step explanation:

Roots are also known as the zeroes, or x-intercepts. This is where the line crosses the x axis, here it crosses where x is 1 and where x is 7.

Calculate the range Data Set 1 = 2, 9, 10, 4, 8, 4, 12

Answers

Answer:

10

Step-by-step explanation:

2, 9, 10, 4, 8, 4, 12

Put the data from smallest to largest

2, 4 , 4, 8,9, 10 ,12

The range is the largest number minus the smallest number

12 - 2 = 10

If anyone knows the answer plz tell me, thank you

Answers

Answer:

A

Step-by-step explanation:

plug it in

(-3)^2+(4)^2=9+16=25

Answer:

[tex]\text{A) }x^2+y^2=25[/tex]

Step-by-step explanation:

The equation of a circle with center [tex](h, k)[/tex] and radius [tex]r[/tex] is given by:

[tex](x-h)^2+(y-k)^2=r^2[/tex].

We're given:

The circle's center is at the origin (0, 0)The point (-3, 4) is on the circle

Since we're given the circle's center, we just need to find the radius. Because the center of the circle is at (0, 0), the radius will be equal to the distance from (-3, 4) and (0, 0).

For points [tex](x_1, x_2)[/tex] and [tex](x_2, y_2)[/tex], the distance between them is given by the formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Let:

[tex](x_1, y_1)\implies (0, 0)\\(x_2, y_2)\implies (-3, 4)[/tex]

The distance between these two points must be:

[tex]d=\sqrt{(-3-0)^2+(4-0)^2},\\d=\sqrt{9+16},\\d=\sqrt{25},\\d=5[/tex]

Therefore, the radius of the circle is 5 and the equation of the circle is:

[tex](x-0)^2+(y-0)^2=5^2,\\\boxed{x^2+y^2=25}[/tex]

What coordinates for point c would make pqt simular to abc

Answers

Answer:

A. (7, -5)

Step-by-step explanation:

The given coordinates of the vertices of ΔPQT are;

P(-2, 5), Q(-2, 1) and T(-5, 1)

The length of the side TQ = 3 units

The length of the side PQ = 4 units

Therefore, the length of the side PT = √(3² + 4²) = 5

The coordinates of the line segment AB = A(1, 3), B(1, -5)

Therefore, using a scale factor of 2, where the sides PQ and AB are corresponding sides, we have;

Where BC is the corresponding side to the TQ on ΔPQT, we have;

The length of BC = 2 × The length of TQ = 2 × 3 units = 6 units (distant from B along the x-axis)

Therefore, the possible points for the point C are;

C(1 - 6, -5) or C(1 + 6, -5)

C(-5, -5) or C(7, -5)

Therefore, the correct option is option A. C(7, -5).

On the following composite figure, all angles are right angles. All short edges of the figure have a measure of 1.5 centimeters. All long edges have a measure of 3 centimeters. Find the area of the figure. Explain or show how you got your answer.

Answers

Answer:

27

Step-by-step explanation:

you have to break it down into 5 parts separating the middle part by itself being 3x3=9+ the 4 other parts that is 1.5x3=4.5x4=18 add them together and it's 27

Mr. Atkinson manages playgrounds for the 8 elementary schools in the Franklin School District. This year, he wants to put new sandboxes at each of the schools. He estimates that he will need 3 tons of sand for this project. How many 50-pound bags of sand should he order for each school?

Answers

Answer: 5 bags of sand

Step-by-step explanation:

Given

There are 8 elementary schools

3 Tons of sand is needed

It is contained in a 50- Pound bag

1 ton is equivalent to 2000 Pound

No of 50- Pound bag required is

[tex]\Rightarrow n=\dfrac{2000}{50}\\\\\Rightarrow n=40[/tex]

These 40 bags will be required in 8 schools. So, each school requires

[tex]\Rightarrow \dfrac{40}{8}=5\ \text{bag}[/tex]

Answer:

The number of bags required for each school is 16.53

Step-by-step explanation:

Number of schools = 8

Total sand required = 3 tons

mass of each bag = 50 pounds

Sand required for each school = 3 ton/ 8 = 3000 / 8 kg = 375 kg

1 pound = 0.454 kg

1 kg = 2.205 pounds

So, 375 kg = 826.7 pounds

So, the number of bags required for each school =  826.7/50 = 16.53 bags

vPatty, Quinlan, and Rashad want to be club officers. The teacher who directs the club will place their names in a hat and choose two without looking. The student whose name is chosen first will be president and the student whose name is chosen second will be vice president.

Which choice represents the sample space, S, for this event?

S = {PQR}
S = {PQR, PRQ, QPR, QRP, RPQ, RQP}
S = {PQ, PR, QR}
S = {PQ, QP, PR, RP, QR, RQ}

Answers

the list S describes all possible outcomes of the event.

the fourth option

two will get choosen, and the order matters.

please help with math properties I need 5 and 8 :)

Answers

Answer:

Step-by-step explanation:

            Statements                               Reasons

1. m∠A = 6x - 10                              1. Given

2. m∠B = 2x                                    2. Given

3. m∠C = 8x - 2                               3. Given

4. m∠A + m∠B + m∠C = 180°         4. Triangle sum theorem

5. (6x - 10) + (2x) + (8x - 2) = 180°   5. Substitution

6. 16x - 12 = 180                              6. Algebra

7. 6x = 192                                       7. Addition property of equality

8. x = 12                                           8. Division property of equality  

−5.8c+4.2−3.1+1.4c helppppppp

Answers

Answer:

its 4

Step-by-step explanation:

Solve for x. Round to the nearest tenth, if necessary. 1.8 & x

Answers

Answer:

x ≈ 1.4

Step-by-step explanation:

Using the sine ratio in the right triangle

sin50° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{RS}{RT}[/tex] = [tex]\frac{x}{1.8}[/tex] ( multiply both sides by 1.8 )

1.8 × sin50° = x , then

x ≈ 1.4 ( to the nearest tenth )

10x^3/5x^2 2/x. 2x 2 x/2

Answers

-5x•(2x^2+x+3) is the answer

HELP PLEASE ITS TIMED!!!

Answers

Answer:

[tex]y=\sqrt[3]{-x}[/tex] and [tex]y=-\sqrt[3]{x}[/tex]

Step-by-step explanation:

The 4th and last one

A 12oz box of cereal costs $3.50. An 18oz box of cereal costs $5.40 Set up eqautions to determine which is the better buy?

Answers

Answer:

12 oz

Step-by-step explanation:

3.50/12  = $.29   5.40/18 =$ .30

what is the square root of 25 ​

Answers

the answer would be 5 because 5*5 or 5 squared (5^2) is equal to 25, hope this helps!

Answer:

5

Step-by-step explanation:

What does square root even mean?

A Square root of a number is a value that when multiplied by itself gives the number

Example: 4^2 = 16 so square root of 16 = 4

i Needdd helppp with this??

Answers

Answer:

B I'm thinking, I have to answer any question so I might be wrong here, also eat some salad it's nasty I know

Answer:

option c. ±[tex] \sqrt{65} [/tex]

Step-by-step explanation:

In the given right angled triangle we can see that :-

hypotenuse is 9 adjacent is 4 opposite is x

by Pythagoras theorem

hypotenuse² = adjacent ² + opposite ²

9² = 4² + x²

81 = 16 + x²

combining like terms

81 - 16 = x²

65 = x²

x = ±[tex] \sqrt{65} [/tex]

I am a 3D object.
I have four triangular faces and four vertices.
What am I?

Answers

Answer:

It is a tetrahedron.

differentiate with product rule

​

Answers

Answer:

[tex]{ \boxed{ \bf{ \frac{dy}{dx} = v \frac{du}{dx} + u \frac{dv}{dx} }}}[/tex]

u = ( x + 1 )

v = ( 2x + 5 )²

[tex]{ \tt{ \frac{dy}{dx} = {(2x + 5) {}^{4} .(1) + (x + 1).(2)(2x + 5) {}^{3} } }} \\ = { \tt{ {(2x + 5)}^{3} ((2x + 5) +(2x + 2) }} \\ = { \tt{ \frac{dy}{dx} = {(2x + 5)}^{3}(4x + 7) }}[/tex]

Other Questions
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