make or compute the histogram, the average, and the (population) standard deviation of {1, 2, 3, 4, 5, 6} and compare to the roll data.

Answers

Answer 1

The average of the data is 3.5, indicating the central tendency. The population standard deviation is approximately 1.71, representing the spread or variability of the data.

To compute the histogram, average, and population standard deviation of the data {1, 2, 3, 4, 5, 6}, we can follow these steps:

Histogram: A histogram represents the frequency distribution of the data. Since the data is already given, we can directly compute the histogram by counting the number of occurrences of each value.

Data: {1, 2, 3, 4, 5, 6}

Histogram:

1: |

2: ||

3: |||

4: |||

5: ||

6: |

Average (Mean): To calculate the average, we sum up all the values and divide by the number of data points.

Average = (1 + 2 + 3 + 4 + 5 + 6) / 6 = 21 / 6 = 3.5

Therefore, the average of the given data is 3.5.

Population Standard Deviation: The population standard deviation measures the spread of the data points around the average. It can be calculated using the formula:

Standard Deviation = √[(Σ(x - μ)^2) / N]

where Σ denotes the sum, x represents each data point, μ represents the average, and N represents the number of data points.

Standard Deviation = √[((1 - 3.5)^2 + (2 - 3.5)^2 + (3 - 3.5)^2 + (4 - 3.5)^2 + (5 - 3.5)^2 + (6 - 3.5)^2) / 6]

Standard Deviation ≈ √[17.5 / 6] ≈ √2.9167 ≈ 1.71

Therefore, the population standard deviation of the given data is approximately 1.71.

Comparing to Roll Data:

To provide a comparison with the roll data, the roll data must be provided or specified. Please provide the roll data so that a meaningful comparison can be made.

Learn more about approximately here:

https://brainly.com/question/31695967

#SPJ11


Related Questions

How doe the definition of percent help you wright fraction and decimal equivalent

Answers

The definition of percent helps you write fraction and decimal equivalents by understanding that "per cent" means "per hundred".

For example, if you are asked to write the fraction and decimal equivalent of 25%, you would divide 25 by 100 to get the fractional equivalent of ¼, and divide 25 by 100 to get the decimal equivalent of 0.25.

The decimal equivalent of a fraction or percentage is the numerical value expressed in decimal form. For example, the decimal equivalent of 1/2 is 0.5 and the decimal equivalent of 25% is 0.25. Decimal equivalents are useful for calculations and can be used to convert fractions and percentages into decimal form.

Learn more about decimal equivalent :

https://brainly.com/question/28513467

#SPJ74

Which of the following quadrilaterals always have diagonals thats are congruent? check all that apply

Parallelogram
Rectangles
Rhombi
Squares
Isosceles trapezoid

Answers

Answer: Rectangles, Squares, Isosceles Trapezoid

The following quadrilaterals always have diagonals that are congruent :

RectanglesSquaresIsosceles Trapezoid

Learn more about Congruency:

https://brainly.com/question/18019780?referrer=searchResults

Given
fx=4x+5, find f(3).
19

17

12

35

Answers

Answer:

17

Step-by-step explanation:

Plug in 3 for x and you'll get

\(4(3) + 5\)

Which is 17.

Answer:

I think it is 19

Step-by-step explanation:

A bag contains 24 ounces of soil. You use 2 7/8 ounces of soil to plant 1 herb.Is there enough soil in the bad to plant 8 herbs?

Answers

Answer:

There's enough soil to plant 8 herbs.

Step-by-step explanation:

24 ÷ 2 7/8 = 8.3

This shows that there's enough soil to plant 8 herbs.

5
A Petri dish is filled with 250 bacterial cultures. The number of bacteria in the dish triples
every hour.
Select the recursive and explicit formulas that model the scenario.

5A Petri dish is filled with 250 bacterial cultures. The number of bacteria in the dish triplesevery

Answers

The recursive and the explicit formulas are f(n) = 3f(n - 1), where f(1) = 250 and f(n) = 250(3)ⁿ‐¹

Calculating the recursive and explicit formulas that model the scenario.

From the question, we have the following parameters that can be used in our computation:

Initial = 250 bacterial cultures.Rate = triples every hour.

This means that

Initial, a = 250 bacterial cultures.

Rate = 3

So, the recursive formulas is

f(n) = 3f(n - 1), where f(1) = 250

For the explicit formula, we have

f(n) = 250(3)ⁿ‐¹

Hence, the recursive and the explicit formulas are f(n) = 3f(n - 1), where f(1) = 250 and f(n) = 250(3)ⁿ‐¹

Read more about sequence at

https://brainly.com/question/6561461

#SPJ1

6. 10 brown eggs to 12 white eggs
ratios

Answers

Answer:

10/12 or you can simplify 5/6

Step-by-step explanation:

It’s 10/12 or simplified 5/6.

Help ASAP! I need this badly, my last question!

Help ASAP! I need this badly, my last question!

Answers

Answer:

Step-by-step explanation:

...... The problem is glitched re send the image/

A company that makes​ hair-care products had 7,000 people try a new shampoo. Of the 7,000 people, 28 had a mild allergic reaction. What percent of the people had a mild allergic​ reaction?

Answers

Answer: 0.4%

Step-by-step explanation:

First, a porportion needs to be set up.

part/whole = percent/100

28/7,000 = x/100

Second, cross multiply.

2800=7,000x

x=0.4

what is the value of 11²

Answers

Answer: 121

11^2 = 11 x 11 = 121

Answer:

121

Step-by-step explanation:

To square a number, we have to multiply the number by itself. This means we'll multiply 11 by 11.

11 · 11 = 121

So, 11² = 121.

I hope this helps :)

Can you please solve what is a constant and what is a term I’m just too lazy

Can you please solve what is a constant and what is a term Im just too lazy

Answers

a number that does not have a variable next to it

3x+8-x=42

And can you please include a step-by step? I can't figure this out.

Answers

Answer:

x=17

Step-by-step explanation:

3x - x is 2x so 2x + 8 = 42

minus 8 from both sides is 2x = 34

divide 2 from both sides x = 17

The sum of the angle measures of a triangle is 180°. Two angles of a triangle measure 40°and 60°, so Juan concludes that the third angle measures 80°. What do you notice about the how the conclusions were made from the statement above?

Answers

Answer:

Step-by-step explanation:

Third angle = 180 - (40 + 60)

                   = 180 - 100

                   =  80°

When you subtract the sum of 40 and 60 from 180, you will get the third angle.

The Cooper family has a monthly income of $4,000.

How much money do the Coopers spend on food each month?

Answers

Answer:

$440

Step-by-step explanation:

4000×11% = 440

since on average 11% of overall income is spent on food

You want to develop a three-sigma R-chart.
You know the average range is 14 based on several samples of size
6. Which of the following is the resulting LCL?

Answers

The resulting LCL for the three-sigma R-chart is approximately 8.08.

To determine the lower control limit (LCL) for a three-sigma R-chart, we need to calculate the control limits using the average range and the appropriate factors. In this case, the average range is given as 14.

The control limits for an R-chart can be calculated using the formula:

LCL = D3 * Average Range

For a three-sigma R-chart, the factor D3 is 0.577.

Substituting the values into the formula, we get:

LCL = 0.577 * 14

LCL ≈ 8.08

Therefore, the resulting LCL for the three-sigma R-chart is approximately 8.08.

Learn more about lower control limits here: https://brainly.com/question/33185812

#SPJ11

consider the vector field. f(x, y, z) = 2ex sin(y), 8ey sin(z), 3ez sin(x) (a) find the curl of the vector field.

Answers

The curl of the vector field F = 2e^x sin(y)i + 8e^y sin(z)j + 3e^z sin(x)k is given by curl(F) = (cos(x) + 2)j - (3cos(x) - 2e^z)k.

To find the curl of a vector field, we need to compute the cross product of the del operator (∇) with the vector field. The del operator in Cartesian coordinates is given by ∇ = ∂/∂x i + ∂/∂y j + ∂/∂z k.

Let's calculate the curl of the vector field F:

curl(F) = (∇ x F)

Using the del operator, we can calculate the cross products of the del operator with the vector field components:

∇ x (2e^x sin(y)i) = (∂/∂y(2e^x sin(y)) - ∂/∂z(2e^x sin(y)))j + (∂/∂z(2e^x sin(y)) - ∂/∂x(2e^x sin(y)))k

= (2e^x cos(y))j - 0k

= 2e^x cos(y)j

∇ x (8e^y sin(z)j) = (∂/∂z(8e^y sin(z)) - ∂/∂x(8e^y sin(z)))k + (∂/∂x(8e^y sin(z)) - ∂/∂y(8e^y sin(z)))i

= (8e^y cos(z))k - 0i

= 8e^y cos(z)k

∇ x (3e^z sin(x)k) = (∂/∂x(3e^z sin(x)) - ∂/∂y(3e^z sin(x)))i + (∂/∂y(3e^z sin(x)) - ∂/∂z(3e^z sin(x)))j

= 0i - (3e^z cos(x))j

= -3e^z cos(x)j

Adding these results together, we get:

curl(F) = 2e^x cos(y)j + 8e^y cos(z)k - 3e^z cos(x)j

= (cos(x) + 2)j - (3cos(x) - 2e^z)k

Therefore, the curl of the vector field F is given by curl(F) = (cos(x) + 2)j - (3cos(x) - 2e^z)k.

Visit here to learn more about vector field:

brainly.com/question/28565094

#SPJ11

A distribution has a mean of 16 and a standard deviation of 6. What is the z score that corresponds with 25?.

Answers

Using the normal distribution formula, we know that the z score that is equivalent to 25 is 1.5.

What is a normal distribution?

A continuous probability distribution for a real-valued random variable in statistics is known as a normal distribution or Gaussian distribution.

The characteristics of normal distributions are as follows: Bell-like in its symmetry.

The distribution's mean and median, which are both at its center, are equal.

68 percent of the data, or approximately, falls within one standard deviation of the mean.

So, the formula is used to determine the Z score for a data point x in a normal distribution:

Z = z - mean/standard deviation

Now, use the formula to calculate the z value as follows:

Z = z - mean/standard deviation

Z = 25 - 16/6

Z = 9/6

Z = 3/2

Z = 1.5

Therefore, using the normal distribution formula, we know that the z score that is equivalent to 25 is 1.5.

Know more about a normal distribution here:

https://brainly.com/question/4079902

#SPJ4

Look at the pattern below. step 1 with 1 square step 2 with 3 squares step 3 with 6 squares step 4 with 10 squares How many squares will be in the pattern in step 6

Answers

Answer:

21 squares

Step-by-step explanation:

Here in this question, we are given a pattern and we want to determine what the values in that pattern will be at a specific step.

We proceed as follows;

What we can see in this pattern is that the difference in number of squares between a pattern and the next pattern increases by the addition of the next integer to the number of squares we have in the last pattern.

Thus for step 5, we shall be adding the next integer( 5) to the number of squares ;

That would be 10 + 5 = 15 squares

For step 6, we shall be adding the next integer (6) to the number of squares in step 5.

That would be 15 + 6 = 21 squares

How we got the initial next integer?

step 1 = 1 square

step 2 = 3 squares ( integer difference of 2)

step 3 = 6 squares ( integer difference of 3)

step 4 = 10 squares ( integer difference of 4)

so;

step 5 = 15 squares ( integer difference of 5)

step 6 = 21 squares( integer difference of 6)

Convert.
ounces
1
pound
8

Convert.ounces1pound8

Answers

Answer:

2 ounces

\(0.125*16=2\)

Multiply mass by 16 to find.

Franklin has a grade of 60 and wants to raise it to 80. What percent increase is this?

Answers

Answer:

33.4%

Step-by-step explanation:

60+33.4%=80

60x1.334=80

I really need help on my math hw
IT IS DUE TOMORROW!

I really need help on my math hw IT IS DUE TOMORROW!

Answers

According to the information the triangle would be as shown in the image.

How to draw the correct triangle?

To draw the correct triangle we have to consider its dimensions. In this case it has:

AB = 3cmAC = 4.5cmBC = 2cm

In this case we have to focus on the internal angles because this is the most important aspect to draw a correct triangle. In this case, we have to follow the model of the image as a guide to draw our triangle.

To identify the value of the internal angles of a triangle we must take into account that they must all add up to 180°. In this case, we took into account the length of the sides to join them at their points and find the angles of each point.

Now, we can conclude that the internal angles of this triangle are:

Angle A ≈ 51.23 degreesAngle B ≈ 59.64 degreesAngle C ≈ 69.13 degrees

To find the angle measurements of the triangle with side lengths AB = 3cm, AC = 4.5cm, and BC = 2cm, we can use the trigonometric functions and the laws of cosine and sine.

Angle A:

Using the Law of Cosines:

cos(A) = (b² + c² - a²) / (2bc)cos(A) = (2² + 4.5² - 3²) / (2 * 2 * 4.5)cos(A) = (4 + 20.25 - 9) / 18cos(A) = 15.25 / 18

Taking the inverse cosine:

A ≈ arccos(15.25 / 18)A ≈ 51.23 degrees

Angle B:

Using the Law of Cosines:

cos(B) = (a² + c² - b²) / (2ac)cos(B) = (3² + 4.5² - 2²) / (2 * 3 * 4.5)cos(B) = (9 + 20.25 - 4) / 27cos(B) = 25.25 / 27

Taking the inverse cosine:

B ≈ arccos(25.25 / 27)B ≈ 59.64 degrees

Angle C:

Using the Law of Sines:

sin(C) = (c / a) * sin(A)sin(C) = (4.5 / 3) * sin(A)

Taking the inverse sine:

C ≈ arcsin((4.5 / 3) * sin(A))C ≈ arcsin(1.5 * sin(A))

Note: Since we already found the value of A to be approximately 51.23 degrees, we can substitute this value into the equation to calculate C.

C ≈ arcsin(1.5 * sin(51.23))C ≈ arcsin(1.5 * 0.773)C ≈ arcsin(1.1595)C ≈ 69.13 degrees

According to the above we can conclude that the angles of the triangle are approximately:

Angle A ≈ 51.23 degreesAngle B ≈ 59.64 degreesAngle C ≈ 69.13 degrees

Learn more about triangles in: https://brainly.com/question/31012736
#SPJ1

I really need help on my math hw IT IS DUE TOMORROW!

Question 11 of 19
On Monday, stock XYZ opened at $8.94. On Friday, it closed at $10.12. What
is the rate of change of stock XYZ for this particular week?
OA. 13.2%
B. 10.1%
C. 1.2%
D. 8.9%

Answers

The rate of change of stock XYZ for this particular week is 13.2%, which is option A.

To calculate the rate of change of stock XYZ

We need to find the percentage change from the opening price to the closing price.

The percentage change is calculated as follows:

Percentage change = ((closing price - opening price) / opening price) x 100%

Plugging in the given values, we get:

Percentage change = (($10.12 - $8.94) / $8.94) x 100%

Percentage change = ($1.18 / $8.94) x 100%

Percentage change = 0.132 x 100%

Percentage change = 13.2%

Therefore, the rate of change of stock XYZ for this particular week is 13.2%, which is option A.

Learn more about Percentage here : brainly.com/question/24304697

#SPJ1

Translate (-2,-2) up 1 unit. Then reflect the result over the x-axis. What are the coordinates of the final point?

Answers

Answer:

The coordinates should be (2,-1) also theres a website my friend showed me called mathaway it answers any question except word problems :)

Step-by-step explanation:

Please help !!!! ASAP

Please help !!!! ASAP

Answers

Answer:

Solution given:

length of arc LM={angle}/360*2*π*r

=here π=180 for angle and π for length

=(3π/4)/360*2*π *6

=(3*180/4)/360*2*π*6

=9/2π

option C

9/2π is a required answer.

Force f acts between a pair of charges, q1 and q2, separated by a distance d. for each of the statements, use the drop-down menus to express the new force in terms of f. q1 is halved, q2 is doubled, but the distance between the charges remains d. q1 and q2 are unchanged. the distance between the charges is doubled to 2d. q1 is doubled and q2 is tripled. the distance between the charges remains d.

Answers

The initial force between the two charges is given by:

\(F=k\frac{q_{1} q_{2} }{d^2}\)

where k is Coulomb's constant, q1 and q2 are the two charges, and d is their separation. Let's analyze now the other situations:

1. F

In this case, q1 is halved, q2 is doubled, but the distance between the charges remains d.

So, we have:

q'₁=q₁/2

q'₂=2q₂

d'=d

So, the new force is:

\(F'=k\frac{q'_{1}q'_{2} }{d^2} \\\\F'=k\frac{(\frac{q_{1} }{2})(\frac{q_{2} }{2}) }{d^2} \\\\F'=k\frac{q_{1}q_{2} }{d^2} =F\)

So the force has not changed.

2. F/4

In this case, q1 and q2 are unchanged. The distance between the charges is doubled to 2d.

So, we have:

q'₁=q₁

q'₂=q₂

d'=2d

So, the new force is:

\(\\F'=k\frac{q'_{1} q'_{2} }{d^2} \\\\F'=k\frac{q_{1}q_{2} }{2d^2} \\\\F'=\frac{1}{4} k\frac{q_{1}q_{2} }{d^2} \\\\F'=\frac{F}{4}\)

So the force has decreased by a factor of 4.

3. 6F

In this case, q1 is doubled and q2 is tripled. The distance between the charges remains d.

So, we have:

q'₁=2q₁

q'₂=3q₂

d'=d

So, the new force is:

\(F'=k\frac{q'_{1} q'_{2} }{d^2} \\\\F'=k\frac{2q_{1}3q_{2} }{d^2}\\ \\F'=6k\frac{q_{1}q_{2} }{d^2} =6F\)

So the force has increased by a factor of 6.

To know more about the distance between charges:

https://brainly.com/question/12288272

#SPJ4

Answer:

1. F

2. F/4

3. 6F

Please help!! I have 10 minutes left!!

Please help!! I have 10 minutes left!!

Answers

I can’t see sorry . . . . . . . . .

Which values will be part of the sequence?

3, 4.5, 6, 7.5, …

A. 9
B. 11.5
C. 15
D. 19.5

Answers

Answer:

9

just add 1.5 to each of the numbers

Answer:

9

Step-by-step explanation:

because 3, 4.5, 6, 7.5

3 to 4.5 it skips over 4 then 4.5 to 6 it skips over 5 and 5.5 and because the pattern i see it is 9 because it is gonna skip 8 and 8.5  

Find the Surface area of the trapezoid
please help
show work

Find the Surface area of the trapezoidplease helpshow work

Answers

Answer:

259.5

Step-by-step explanation:

8.1*12=97.2
Area of trapiezium = 1/2(b+a)h
(2.8+8.1)=10.9
10.9*3/2=16.35
16.35*2=32.7
2.8*12=33.6
33.6+32.7+97.2=163.5
4*12*2=96
163.5+96=259.5

Kellen cuts a foam block along the red line. When he looks at the newlyexposed face, what is the shape of the cross-section?9 cm7 cm5 cmA. A square, 7 cm by 7 cmB. A rectangle, 7 cm by 5 cmC. A rectangle, 9 cm by 5 cmD. A rectangle, 9 cm by 7 cmSUBMIT

Kellen cuts a foam block along the red line. When he looks at the newlyexposed face, what is the shape

Answers

The answer is B, A rectangle, 7 cm by 5 cm

Carlton is a project manager for a landscape design company. He is analyzing the duration of four current projects. Which graph best shows how many days each project has lasted? A. B. C. D.

Answers

Answer:i am pretty sure it is c

Step-by-step explanation:

this is because it says Which graph best shows how many days each project has lasted? and c is the only one that is talking about days

Find x rounded to the nearest while number

Find x rounded to the nearest while number

Answers

Answer:

10.35

Step-by-step explanation:

The given triangle is a right angled ∆ .The data given is ,

Base = x Hypontenuse = 23 Angle = 63° .

We can use ratio of cosine here , as ,

=> cos∅ = b/h

=> cos 63° = x/23

=> 0.45 = x/23

=> x = 23 × 0.45

=> x = 10.35

Hence the value of x is 10.35
Other Questions
Select the correct answer.Which word or phrase best describes the political and religious atmosphere of the sixteenth and seventeenth centuries? A. progressive B. radical yet plain C. highly ritualistic D. tumultuous An 80-kg man standing on a frozen lake tosses a 0.500-kg football to his dog. The ball leaves his hands at 15 m/s relative to Earth. What minimum source energy did the man supply?His 20-kg dog, standing still, catches the ball and slides with it. How much energy is dissipated in the catch? what is supplementary angle of LGC What did classical Rome contribute to modern Western civilization? Select 3 correct answer(s) Question 10 options: network of long-distance paved roads large infrastructure projects to benefit the public architectural style featuring columns and domes foundation of the Islamic religion. For her final project, stacy plans on surveying a random sample of students on whether they plan to go to florida for spring break. From past years, she guesses that about % of the class goes. Is it reasonable for her to use a normal model for the sampling distribution of the sample proportion? why or why not?. Q) What do you think the poem below is trying to say about the comfort of music?The poemvvvvvvvvvvvvSing to me! Something of sunlight and bloom, I am so compassed with sorrow and gloom, I am so sick with the worlds noise and strife, Sing of the beauty and brightness of lifeSing to me, sing to me! Sing to me! Something thats jubilant, glad! I am so weary, my soul so sad.All my earth riches are covered with rust, All my bright dreams are but ashes and dust.Sing to me, sing to me! Sing of the blossoms that open in spring, How the sweet flowers blow, and the long lichens cling, Say, though the winter is round about me, There are bright summers and springs yet to be.Sing to me, sing to me! Sing me a song full of hope and of truth, Brimming with all the sweet fancies of youth! Say, though my sorrow I may not forget, I have not quite done with happiness yet.Sing to me, sing to me! Lay your soft fingers just here, on my cheek; Turn the light lowerthereno, do not speak, But sing! My heart thrills at your beautiful voice; Sing till I turn from my grief and rejoice.Sing to me, sing to me! A country that relies on the pragmatic nationalist view would say that:. Mrs. Marks has 3/4 pounds of cheese on use making sandwiches. She uses about 1/32 pound of cheese on each sandwich. How many sandwiches can she make with the cheese she has? a firm is operating such that the marginal product of labor is 10 and the marginal product of capital is 20. the firm is minimizing its costs only if:____. A local electronics store is offering a $200.00 rebate along with a 20% discount. Let x represent the original price of an item in the store. Find the composite function (D R)(x) Group of answer choices 200 0.8x 0.8x (0.8x 80) 0.8x 200 0.8x - 80 Write an equation for the constant of proportionality. Which type of pathogen causes Lyme disease? a hardware component that has its jumper pins set incorrectly is an example of a hardware ____. A particle moves along a line. Its position, s in metres, at t seconds is given by: s(t) = (t-4t+3) a) Determine the initial position of the particle. b) What is the velocity at 6 seconds? c) Determine the total distance traveled during the first 6 seconds. d) At t = 6 is the particle moving to the left or to the right? Explain how you know. WILL REPORT AND GIVE BRAINLYEST can someone help me pls!!!! Imma give u brainliest 1. Describe one way in which the committee system impacts legislation.2. Describe one difference between the role played by party leaders in the House and the role played by party leaders in the Senate.3. Explain one reason why it is difficult for party leaders to control the way the members of their party vote on legislation. 4 b a 1. Joseph plans to give a bag of candy to each of the 22 students in his class. Each bag of candy will cost $2.87 after tax. Which expression gives the best estimate for the total cost of the bags of candy? A. $2 x 20 B. $2 x 30 C. $3 x 20 D. $3 x 30 Graph the polygon with the given vertices and its image after a reflection in the line y=x.A(2, -1), B(-1, 2), C(2, 3), D(4,2) in the 1800s, why was there a greater need for labor unions than there is now?