Use the frequency distribution shown below to construct an expanded frequency distribution.
High Temperatures ​(°F​)
Class
16​-26
27​-37
38​-48
49​-59
60​-70
71​-81
82​-92

​Frequency, f
17
45
66
67
82
66
22

Answers

Answer 1

Answer and Step-by-step explanation:

The calculation of midpoints, relative frequencies and cumulative frequencies are shown below:-

For Midpoint = [tex]\frac{Lower\ limit\ +\ Upper\ limit}{2}[/tex]

For Relative frequency = [tex]\frac{Frequency}{Total\ number\ of\ frequency}[/tex]

Class         Frequency     Midpoints    Relative       Cumulative

                                                             frequency     frequency

16​-26              17                     21                0.047          0.047

27​-37              45                    32               0.123           0.17

38​-48              66                   43                0.181            0.351

49​-59              67                    54               0.184           0.535

60​-70              82                    65              0.225            0.76

71​-81                 66                   76               0.181            0.941

82​-92              22                   87                0.060          1.001

Total                365

Therefore for computing the cumulative frequency we simply added relative frequency with previous cumulative frequency for class 27-37 and in the same manner of every class.

Use The Frequency Distribution Shown Below To Construct An Expanded Frequency Distribution.High Temperatures
Answer 2

The rate at which something occurs over a particular period of time or in a given sample:

"An increase in the frequency of accidents due to increased overtime"

Given

Use the frequency distribution shown below to construct an expanded frequency distribution.

The formula to calculate the midpoint and relative frequency are given below.

[tex]\rm Midpoint = \dfrac{Lower \ limit + Upper \ limit }{2}[/tex]

[tex]\rm Relative \ frequency = \dfrac{Frequency}{total \ frequency}[/tex]

The frequency distribution to construct an expanded frequency distribution is given below.

Class  Frequency   Midpoints  Relative frequency  Cumulative frequency      

16​-26              17                     21                0.047          0.047

27​-37              45                    32               0.123           0.17

38​-48              66                   43                0.181            0.351

49​-59              67                    54               0.184           0.535

60​-70              82                    65              0.225            0.76

71​-81                 66                   76               0.181            0.941

82​-92              22                   87                0.060          1.001

Total                365

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Related Questions

Use inductive reasoning to determine the next term in the sequence -2, 5, -4, 3, -6, ... *

Answers

The next number is 1

Answer:1,-8

Step-by-step explanation: -2,5( add 7) 5,-4(sub 9),-4,3(add 7), 3,-6(sub 9)

Pattern of +7,-9,+7,-9

-6+7=1 and 1-9=-8

2) In the Tour de France, cyclists ride 3,653.6 km in 20 days. How many miles do they go per day?

Answers

Answer:

The answer is 182.68 km

Step-by-step explanation:

To solve this question we use ratio and proportion

If in 20 days they ride 3,653.6 km , then

in 1 day they will ride [tex] \frac{3653.6 \times 1}{20} [/tex]

We have the final answer as

182.68 km

Hope this helps you

Lisa owns a "Random Candy" vending machine, which is a machine that picks a candy out of an assortment in a random fashion. Lisa controls the probability of picking each candy. The machine is running out of "Honey Bunny," so Lisa wants to program it so that the probability of getting a candy other than "Honey Bunny" twice in a row is greater than \dfrac{9}{4} 4 9 ​ start fraction, 9, divided by, 4, end fraction times the probability of getting "Honey Bunny" in one try. Write an inequality that models the situation. Use ppp to represent the probability of getting "Honey Bunny" in one try.

Answers

Answer:

[tex][P(X_{1})\times P (X_{2})]>[\frac{9}{4}\times P (H_{1})][/tex]

Step-by-step explanation:

Let the candy "Honey Bunny" be labelled as H and the other candies as X.

It is provided that the machine is running out of "Honey Bunny".

So, Lisa wants to program it so that the probability of getting a candy other than "Honey Bunny" twice in a row is greater than 9/4 times the probability of getting "Honey Bunny" in one try.

Probability of getting a candy other than "Honey Bunny" twice in a row,

        P (X₁) × P (X₂)

Probability of getting "Honey Bunny" in one try,

        P (H₁)

The inequality is as follows:

[tex][P(X_{1})\times P (X_{2})]>[\frac{9}{4}\times P (H_{1})][/tex]

Answer:

(1-p)^2>9/4p

Step-by-step explanation:

Find the standard form (ax + by + c = 0) of the line using the following information. Please show your work! Point: (6, -1) Slope: m is undefined I'll give brainliest!!!

Answers

Answer:

x - 6 = 0

Step-by-step explanation:

The only lines that have undefined slopes are vertical lines. Vertical lines are found in the form x = c where c is a constant. With vertical lines, it doesn't matter what the y value is because x will always be c. In this case, c = 6 because the x-coordinate of (6, -1) is 6. Therefore, our equation is x = 6. In standard form, that would be x - 6 = 0.

Answer:

[tex]\huge \boxed{x-6=0}[/tex]

Step-by-step explanation:

Vertical lines have undefined slopes.

The line crosses (6, -1), x = 6.

The equation of the vertical line is x = 6.

The equation of the line in standard form would be x - 6 = 0.

AB= please help step by step

Answers

Answer:

8x−14

Step-by-step explanation:

3x - 4 + 5x - 10

=3x+−4+5x+−10

Combine Like Terms:

=3x+−4+5x+−10

=(3x+5x)+(−4+−10)

what is the rate of change of the linear function that has a graph that passes through the points (2, 9) and (-1, 3)

Answers

Answer:

Slope= 2

Step-by-step explanation:

Rate of change can simply be called slope

So the rate of change or slope of the linear function that passes through the points (2, 9) and (-1, 3) is

Slope = (y2-y1)/(x2-x1)

Where y2= 3

Y1= 9

X2= -1

X1= 2

Slope = (y2-y1)/(x2-x1)

Slope= (3-9)/(-1-2)

Slope= -6/-3

Slope= 2

Which numbers in set ={,,,,,,,,,}eh equals left brace 1 comma 2 comma 3 comma 4 comma 5 comma 6 comma 7 comma 8 comma 9 comma 10 right brace are elements in both the subset of odd numbers and the subset of multiples of 3?

Enter your answer.


Answers

Answer:

D={3,9}

The numbers are 3 and 9

Step-by-step explanation:

The set A

={,,,,,,,,,}

Let B be the sub set of A containing odd numbers

B={1,3,5,7,9}

Let C be the sub set of A containing multiply of 3

C= {3,6,9}

Now let D be the be the sub set of A containing both odd numbers and multiples of 3

D={3,9}

how do you Evaluate. 58−(14)2= ________

Answers

Answer:

58-(14)2

58-28

30

Step-by-step explanation:

1.
Harriet has deposited $693 in a savings account that earns interest at a rate of 4.6% compounded monthly. What will the account balance be in thirteen years? (2 points)

$1,258.77

$1,243.50

$724.88

$3,187.80

Answers

Answer:

Future amount (A) = $1,258.77 (Approx)

Step-by-step explanation:

Given:

Amount deposit (p) = $693

Rate of interest monthly (r) = 4.9% / 12 = 0.003833

Number of month (n) = 13 × 12 = 156

Find:

Future amount (A)

Computation:

[tex]A = p [1+r]^n \\\\ A = 693 [1+0.003833]^{156}\\\\ A= 693[1.8163]\\\\ A = 1258.77[/tex]

Future amount (A) = $1,258.77 (Approx)

A customer wants to enlarge a photo to 2.75 it’s current height the photo current height is 3.25 inches what should its enlarged height be in inches

Answers

Answer:

8.9375

Step-by-step explanation:

2.75×3.25=8.9375

According to the question it said increase to and that is why I only multiplied but if the question said increase by then I would have to add my product (8.9375) to the original height of the photo.

pt 3 7/7 lasttt one helpppp

Answers

Answer:

2n+2

Step-by-step explanation:

-n + (-3) +3n + 5 -3

       (-3+5)  =2  

-n +2+n+3n

3n-n =  2n

2n+2

I need help on this question, please stop by.

Answers

Answer:

last option from the left

Step-by-step explanation:

To find the price of one water bottle, we can calculate 6 / 24 because 24 bottles cost $6. Now, to find the price of 10 bottles, we can multiply the price of 1 bottle by 10 so the answer is 6 / 24 * 10.

A brick layer can lay 320 bricks per day. Let y represent the total number of bricks he can lay in x days
Determine whether a graph created with each calculator display window defined in the table will show all points representing the total number of bricks that the brick layer can lay in 0 to 10 days
Select Yes or No for each display window.
The calculator display window shows:
Yes
No
O
о
400 < x < 3,400 and -1 < y < 11
-1 о
o
o
O
-1 -400 < x < 3,400 and - 400 < y < 321
о
O

Answers

Answer:

I may be incorrect but these are my answers

A) −400≤x≤3,400 and −1≤y≤11 NO

B) −1≤x≤11 and −400≤y≤3,400 YES

C) −1≤x≤11 and −1≤y≤321 YES

D) −400≤x≤3,400 and −400≤y≤321 YES

Step-by-step explanation:

The last three equations, B, C ,D all include the points needed to graph the total number of bricks he can lay in 0 to 10 days.

Answer:

Don't delete my answers!

No

Yes

Yes

Yes

I was doing the QUIZ!

Step-by-step explanation:

Convert the following to slope-intercept form.
4x + 3y = 24

Answers

Answer:

y = -4/3x +8

Step-by-step explanation:

Slope intercept form is

y = mx+b where m is the slope and b is the y intercept

4x+3y = 24

Subtract 4x from each side

3y = -4x+24

Divide each side by 3

y = -4/3x +24/3

y = -4/3x +8

Answer: y = -4/3x +8

At the end of the day of teaching the skill of cutting and sewing to make capes, Ms. Ironperson and Mr. Thoro decided to go to the Shawarma Mediterranean Grill. Ms. Ironperson ordered 3 chicken shawarma wraps and 2 orders of spiced potatoes for a total bill of $42.95. Mr. Thoro ordered 5 chicken shawarma wraps and 4 orders of spiced potatoes for a total bill of $74.91. What is the cost of a chicken shawarma wrap? What is the cost of one order of spiced potatoes? If x denotes the cost of a chicken shawarma wrap and y denotes the cost of an order of spiced potatoes, what are the equations needed to solve this problem?

Answers

Answer:

The cost of a chicken shawarma wrap = $10.99

The cost of an order of spiced potatoes=$4.99

Equations needed

3x+2y =42.95

5x + 4y=74.91

Step-by-step explanation:

x = the cost of a chicken shawarma wrap

y = the cost of an order of spiced potatoes

Ms. Ironperson

3x+2y =42.95

Mr. Thoro

5x + 4y=74.91

3x+2y =42.95 (1)

5x + 4y=74.91 (2)

Multiply (1) by 2

6x + 4y=85.9 (3)

5x + 4y=74.91. (2)

Subtract (2) from (3)

6x - 5x= 85.9 - 74.91

x=$10.99

Substitute the value of x into (1)

3x+2y =42.95 (1)

3(10.99) + 2y =42.95

32.97 + 2y = 42.95

2y = 42.95 - 32.97

2y=9.98

Divide both sides by 2

y=9.98/2

=4.99

y=$4.99

Therefore,

The cost of a chicken shawarma wrap = $10.99

The cost of an order of spiced potatoes=$4.99

Solve 3x-2=1/2 - x/3

Answers

3x-2=0.5-x/4, 3x-2-0.5= -x/3, 3x-2.5=-x/3, -3(3x-2.5)=-3(-x/3), -9x+7.5=x, x+9x=7.5, 10x=7.5, x=7.5/10, x=0.75

Convert the following point from spherical to rectangular coordinates: (6,5π4,3π4). (x,y,z)=______
Usage: To enter a point, for example (x,y,z), type "(x, y, z)".

Answers

Answer:

nxjhbfhbfwihsfnjkfdbjbshcxbdbjibebfhdhwhhdhdhffvnfnjehrhffbfgnfjrjhhfrj

Step-by-step explanation:

Write a multiplication sentence to show how 10 gallons and 300 miles are related. How are 5 gallons ad 150 miles related? How are 1 gallon and 30 miles related?

Answers

Answer:

It shows for each gallon consumed, we multiply by 30 to get the amount of miles

This applies for the three questions

Step-by-step explanation:

10 gallons and 300 miles are related in such a way that you divide the number if miles by number of gallons.

300/10 = 30 miles per gallon.

It shows for each gallon consumed, we multiply by 30 to get the amount of Miles.

5 gallons ad 150 miles related in such a way that you divide the number if miles by number of gallons.

150/5 = 30 miles per gallon.

It shows for each gallon consumed, we multiply by 30 to get the amount of Miles.

1 gallon and 30 miles related in such a way that you divide the number if miles by number of gallons.

30/1= 30 miles per gallon.

It shows for each gallon consumed, we multiply by 30 to get the amount of Miles.

Using this figure, A' is the ____ of A

Answers

Image

Step-by-step explanation:

It's actually called Translation but image is the same thing as translation

HELP MEEEEE
(The problem is in the picture)

Answers

Answer:

Hey there!

We don't have enough information. 7(n+5) can be written as either the 7 times the sum of n+5, or 7 multiplied by n+5.

Let me know if this helps :)

Josie has a bag of ice that weighs 5 pounds. She left it in a sealed container and it melted. How much does the resulting water weigh

Answers

Answer:

  5 pounds

Step-by-step explanation:

The only thing added or removed from the container was heat, which has no weight. The water has the same weight regardless of its chemical phase (solid, liquid, gas, plasma).

  5 pounds

A force of 150N is applied at an angle of 60° to the horizontal to pull a box through a distance of 50m. Calculate the work done

Answers

Answer:

Work done = 3750 Joules

Step-by-step explanation:

The force acting in the body should be resolved to it's horizontal component before we can use ut to solve for the problem

Horizontal component= 150 * cos 60

Horizontal component= 150*0.5

Horizontal component= 75N

Work done= Force * distance

Work done= 75*50

Work done= 3750 Nm

Work done = 3750 Joules

Find the following quotient and express the answer in standard form of a complex number.

Answers

Hello, please consider the following.

When you have a complex number in the denominator you need to multiply by its conjugate to eliminate the imaginary component.

The conjugate of 4 - 3i is 4 + 3i, right?

So, let's do it!

[tex]\dfrac{5-7i}{4-3i}=\dfrac{(5-7i)(4+3i)}{(4-3i)(4+3i)}\\\\=\dfrac{5(4+3i)-7i(4+3i)}{4^2-(3i)^2}\\\\=\dfrac{20+15i-28i-21i^2}{16+9}\\\\=\dfrac{20+21-13i}{25}\\\\\large \boxed{=\dfrac{41}{25}-\dfrac{13}{25}i\\}[/tex]

Thank  you.

Complex numbers are numbers with real and imaginary parts.

The expression in standard form of a complex number is: [tex]\mathbf{\frac{41}{25}-\frac{13}{25}i}[/tex]

The expression is given as:

[tex]\mathbf{\frac{5 - 7i}{4 - 3i}}[/tex]

Rationalize

[tex]\mathbf{\frac{5 - 7i}{4 - 3i} = \frac{5 - 7i}{4 - 3i} \times \frac{4 + 3i}{4 + 3i}}[/tex]

[tex]\mathbf{\frac{5 - 7i}{4 - 3i} = \frac{20 +15i -28i - 21i.i}{(4)^2 - (3i)^2}}[/tex]

[tex]\mathbf{\frac{5 - 7i}{4 - 3i} = \frac{20 +15i -28i - 21(-1)}{16 - 9(-1)}}[/tex]

[tex]\mathbf{\frac{5 - 7i}{4 - 3i} = \frac{20 +15i -28i + 21}{16 + 9}}[/tex]

Collect like terms

[tex]\mathbf{\frac{5 - 7i}{4 - 3i} = \frac{20 + 21+15i -28i }{16 + 9}}[/tex]

[tex]\mathbf{\frac{5 - 7i}{4 - 3i} = \frac{41-13i }{25}}[/tex]

Split

[tex]\mathbf{\frac{5 - 7i}{4 - 3i} = \frac{41}{25}-\frac{13i }{25}}[/tex]

[tex]\mathbf{\frac{5 - 7i}{4 - 3i} = \frac{41}{25}-\frac{13}{25}i}[/tex]

Hence, the expression in standard form of a complex number is: [tex]\mathbf{\frac{41}{25}-\frac{13}{25}i}[/tex]

Read more about complex numbers at:

https://brainly.com/question/12806985

Distribute and then combine like terms to simply the following expression -3 (2x + 4) - 2 (8 – 8x) + 52
I

Answers

Step-by-step explanation:

-6x - 12 - 16 + 16x + 52

10x + 24

hypothesis that there is a relationship between parents’ and children’s party identification. Would we be correct in inferring that such a relationship also exists in the population? Explain your answer. What is the probability that any relationship we found is due to pure chance?

Answers

Answer:

No

It could be purely due to chance.

Step-by-step explanation:

A population is defined as the whole group which has the same characteristics. For example a population of the college belongs to the same college . But a sample may be an element of a population.

So it is not necessary for a population to have the same characteristics as the sample.

But it is essential for the sample to have at least one same characteristics as the population.

So we would not be correct in inferring that such a relationship also exists in the population.

It is a hypothesis which can be true or false due to certain conditions or limitations as the case maybe.

For example in a population of smokers some may be in the habit of taking cocaine. But a sample of cocaine users does not mean the whole population uses it.

It could be purely due to chance if we find out that there is a relationship between parents’ and children’s party identification in the population.

The ares of a rectangle is 46 square inches, if the length is 4 times the width , the find the dimensions of the rectangle.

Answers

Answer:

[tex]\sqrt{11.5} =w[/tex] (Width)

[tex]4\sqrt{11.5}= Length[/tex]

Step-by-step explanation:

Area of a rectangle: 46 = w(L)

L = 4w

Substitute

46 = 4[tex]w^{2}[/tex]

Divide both by 4

[tex]11.5=w^{2}[/tex]

[tex]\sqrt{11.5} =w[/tex] (Width)

[tex]4\sqrt{11.5}= Length[/tex]

(Math question incoming) Are the Polynomials in standard form(Yes or No?) Identify the name of each Polynomial. Identify the leading coefficient. Identify the degree.

Answers

Standard polynomial form means that the terms are arranged from highest to lowest degree.

The leading coefficient is the number before the highest degree.

The degree of the polynomial is the power of the variable attached to the leading coefficient.

1) This is not in standard polynomial form.

The leading coefficient is -1.

This is a second-degree polynomial.

2) This is in standard polynomial form.

The leading coefficient is 3.

This is a fourth-degree polynomial.

3) This is not in standard polynomial form.

The leading coefficient is 3.

This is a fifth-degree polynomial.

4) This is in standard polynomial form.

The leading coefficient is -4.

This is a fifth-degree polynomial.

5) This is not in standard polynomial form.

The leading coefficient is -5.

This is a third-degree polynomial.

6) This is not in standard polynomial form.

The leading coefficient is -1.

This is a sixth-degree polynomial.

7) This is in standard polynomial form.

The leading coefficient is 2.

This is a second-degree polynomial.

8) This is in standard polynomial form.

The leading coefficient is 1.

This is a second-degree polynomial.

9) This is in standard polynomial form.

The leading coefficient is 1.

This is a third-degree polynomial.

10) This is not in standard polynomial form.

The leading coefficient is 6.

This is a fourth-degree polynomial.

Zev read 15% of his 56-page book. Kelly read 12% of her 64-page book. Marneisha read 14% of his 68-page book Aleisha read 10% of her 72-page book.

Answers

Answer:

zev=15/100*56=9.6 pages

Kendrick is using a compass and straightedge to copy angle M. The figure shows the portion of the construction that he has already completed. Where should Kendrick place the center of the compass to do the next step of the construction?

Answers

Answer:

The question is not complete, but I found a similar question (image) that applies to this case:

The correct answer is:

Point N ( or where the arc cuts the horizontal line)

Step-by-step explanation:

From the figure attached to this answer, to copy angle  in the first image on the left onto the inage in the right, Kendric first of all places tha centre of the compass at point M, and extends it to point N, to draw the first arc, which has already been done.

1. Next, the center of the compass should be placed at point N, and extended to the point where the arc touches the inclined line.

2. This measurement is then transferred to the new line, and the center of the compassed placed at point D, and a second arc drawn to cut the first arc.

3. Finally a line is drawn through the point where the two arcs meet to touch point C.

Use Stokes' Theorem to evaluate S curl F · dS. F(x, y, z) = x2y3zi + sin(xyz)j + xyzk, S is the part of the cone y2 = x2 + z2 that lies between the planes y = 0 and y = 3, oriented in the direction of the positive y-axis.

Answers

Answer:

[tex]$ \frac{2187 \pi}{4}$[/tex]

Step-by-step explanation:

Using Stoke's theorem, we get

[tex]$ \int \int_S curl F.dS = \int_C F.dr$[/tex]

Now parametrize C

r(t) = ( 3 cos t, 3 - 3 sin t )     where, t in [0 2π]

[tex]$ \int_C F. dr= \int_0 ^{2 \pi}F ( 3 \cos t, 3 - 3 \sin t). r'(t)dt$[/tex]

            [tex]$= \int_0^{2 \pi}(( 9 \cos^2 t)(27)(-3\sin t), \sin t \times (-27 \cos t \sin t)) . (-3 \sin t, 0 - 3 \cos t) dt $[/tex]

           [tex]$ = 27 \int_0^{2 \pi} 81 \cos ^2 t \sin ^2 t + 3 \cos ^2 t \sin tdt $[/tex]

           [tex]$ = 27 \int_0^{2 \pi} \frac{81}{4} \sin ^2 2t+27 [ - \cos^3 t]_0^{2 \pi}$[/tex]

           [tex]$ = 27 \times \frac{81}{4} \int_0^{2 \pi} \frac{(1- \cos 4t)}{2} $[/tex]

           [tex]$= \frac{2187}{8}[t-\frac{1}{4} \sin 4t]_0^{2 \pi} $[/tex]

           [tex]$= \frac{2187 \pi}{4}$[/tex]

   

By using Stokes Theorem the required S curl F.ds is [tex]\dfrac{2187\pi }{4}[/tex].

Given that,

Function F(x, y, z) = (x^2y^3z)i + sin(xyz)j + xyzk,

S is the part of the cone y^2 = x^2 + z^2 that lies between the planes y = 0 and y =3, oriented in the direction of the positive y-axis.

We have to determine,

Use Stokes' Theorem to evaluate S curl F·dS.

According to the question,

By using Stokes Theorem to evaluate S curl F .dS.

[tex]\int\ \int _s curlF.ds = \int _c F.dr\\\\[/tex]

Now parametrize C

r(t) = ( 3 cos t, 3 - 3 sin t ) ,

Where, t in [0 2π]

Then,

[tex]\int_c F.dr = \int^{2\pi }_0 F(3cost, 3-3sint).r'(t)dt\\\\[/tex]

[tex]= \int^{2\pi }_0 ((9cos^2t)(27)(-3sint),(sint) \times (-27cost.sint). (-3sint,0-3cost)dt\\\\= 27 \int^{2\pi }_0 81cos^2t .\ tsin^2t + 3 cos^2t. t sintdt\\\\= 27 \int^{2\pi }_0 \dfrac{81}{4}sin^22t+ 27[-cos^3t]^{2\pi }_0\\\\= 27 \times \dfrac{81}{4} \int^{2\pi }_{0} (\dfrac{1-cos4t}{2})\\\\= \dfrac{2187}{8}[t-\dfrac{1}{4}sin4t]^{2\pi }_0\\\\= \dfrac{2187}{8}[2\pi -\dfrac{1}{4}sin4(2\pi )- 0-\dfrac{1}{4}sin4(0 )]\\\\= \dfrac{2187\pi }{4}[/tex]

Hence, By using Stokes Theorem the required S curl F.ds is [tex]\dfrac{2187\pi }{4}[/tex].

To know more about Integration click the link given below.

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