A family of bears is going to a movie. The following data points represent the ticket and candy price (in dollars) for each bear. Sort the data from least to greatest. Find the interquartile range (IQR) of the data set.

Answers

Answer 1

The interquartile range (IQR) is a measure of dispersion, which is a measure of how spread out a data set is. The IQR is calculated by subtracting the first quartile (Q1) from the third quartile (Q3).

Q1 = ( n +1 ) / 4th observation

    = ( 9 + 1) / 4

    = 2.5 th obseravation

That is the average of 2nd and 3rd observations.

Q1 = 2

Q3 = 3 ( n + 1) / 4 th observation

     = 3 ( 9 + 1) / 4

     = 7.5 th observation

That is the average of the 7th and 8th observation

Q3 = 5.5

Interquartile range = Q3 - Q1 = 5.5 - 2 = 3.5

In this data set, the first quartile is the average of the second and third observations (2), and the third quartile is the average of the seventh and eighth observations (5.5). Subtracting the first quartile from the third quartile gives us an IQR of 3.5. This means that the values in the data set are spread out over a range of 3.5 dollars.

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Related Questions

10. Beth has a wooden box. The inside of the box is 5 inches wide, 8.25 inches
long, and 4.5 inches tall. The box has not top. Beth wants to line the box with fest
to protect the items she puts in the box. How many square inches of felt will she
need?

Answers

Beth is an arsehole she’s absolutely mental

Answer:

the answer is 41.25

Step-by-step explanation: You multiply 5 x 8.25 at least thats

what I think

243 to the 1/5 power​

Answers

Answer:

-3

Step-by-step explanation:

Hopes this helps:

Answer: 3

How I know I use this app called Cymath.

What is the perimeter of a square with side length: 3 cm Do not include units (cm) in your answer. I also will be reporting any links as answers​

Answers

Answer:

perimeter of a square is 3 + 3 + 3 + 3 = 12 (cm)

Step-by-step explanation:

Or use the formula P = 4a = 4(3) = 12 (cm)

What is the y-intercept for this function?
y = x2 - 2x - 3

Answers

Answer:

-3

Step-by-step explanation:

URGENT HELP
Solve for X

Answers

Answer:

x = 3

Step-by-step explanation:

95 + 85 + 100 + 27x -1 = 360

280 + 27x - 1 = 360

279 + 27x = 360

27x = 81

x = 3

Double check your work:

95 + 85 + 100 + 27(3) - 1 = 360

95 + 85 + 100 + 81 -1 =360

360 = 360

At a school health fair, individual pieces of fruit are placed in paper bags and distributed to students randomly. There are 20 apples, 15 apricots, 25 bananas, 25 pears, and 30 peaches. Write the answer as a fraction in simplest form. Find the probability of NOT getting an apple.​

Answers

Answer:

Around 82%

Step-by-step explanation:

95/115

Last year 5200 people entered a contest to win free swimming lessons at the rec center. This year there was a 14% increase in the number of entrees. How many entries were there this year?

Answers

Answer:

There were 5928 entries

Step-by-step explanation:

You multiply 14% by 5200, which is 0.14 in decimal form, and you get 728. Then you add 5200 and 728 together, since 14% of 5200 is 728

Find the surface area or i will kiII myseIf (I give brainliest! :D)

Answers

Answer:

I'll cya in h.e.l.l

ima k.i.l.l. myself as well if they don't give us the answer

Step-by-step explanation:

Answer:

I believe its 122

Step-by-step explanation:

122 total surface area

In a survey at a shoe store, 200 customers were asked whether they have
running shoes or basketball shoes. The results are in the relative frequency
table.
Total
Have running shoes
0.23
Have basketball shoes
No basketball shoes
Total
No running shoes
0.31
0.32
0.14
What percentage of the people surveyed have basketball shoes?
A. 37%
B. 54%
O C. 46%
O D. 63%

Answers

Ok I think is there go check 1 more time I think is c or b not completely sure

Find the slope of the line that passes through the given points.

Answers

Answer: -1/6

Step-by-step explanation:

slope= change of y over change of x

3-4/ 5--1=

-1/6

Hope this helps!

Answer:

-1/6

Step-by-step explanation:

(-1, 4) and (5, 3)

y2 - y1 / x2 - x1

y2 = 3

y1 = 4

x2 = 5

x1 = -1

(3 - 4) / (5 - -1)

-1 / 6

slope = -1/6

17. An equation is shown.
3x7=+7
What number makes the number sentence true?
A 3
B, 14
C. 21
D. 28

Answers

the answer is 1 because 1x7=+7

Someone know this? Pls I really need help

Answers

Answer:

Step-by-step explanation:

d₃₄  = Value in the 3rd row and 4th column

      = 0

m₁₃ = Value in the 1st row and 3rd column

     = 2

k₂₁ = Value in the 2nd row and 1st column

     = 1

Find the slope.


help me find the answer,real answers only!

Answers

answer :

-2


step-by-step explanation:

rise over run
so down two over one = negative two

Help me please it’s for math class

Answers

Answer:

No solution

Step-by-step explanation:

To start, a solution requires the lines to intersect

However both lines share a slope of -3 and are thus parallel

Since parallel lines dont intersect, there is no solution

Answer:

Hi! The answer to your question is A. No solution, i also have a picture to help you if u need it.  

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

amber deposits $870 in an account that has a simple interest rate of 8% per year. After 5 years, how much interest will Amber have learned and what will the total balance be in the account

Answers

For simple interest, the formula is I = PRT, where I = interest, P = principal borrowed or deposited, R = rate as a decimal, and T = time in years.

Your information:
I = (870)(0.08)(5)
I = 348

Add the interest to the principal for your total balance

348 + 870 = $1218 will be the total balance in the account.

If Jamal currently has 2000 in saving, he will need to Save________each month

Answers

166.7 may be the answer but the question is very confusing

6 friends are going to a bowling alley. They have to pay a fee per game and $2 to
rent shoes. If they plan on only playing one game, the cost is $48.

Answers

Answer:

3

Step-by-step explanation:

Let x be the number of games they bowled.

Then, we know that each shoe rental was $2.50.  So, the total cost for shoes was 3 * $2.50 = $7.50

The total number of games they bowled was 3 * x (since there were 3 persons).

Now, the cost per game was $5.30.  So, the total cost for games bowled (minus shoes) was:

3x($5.30) = $15.90x

Now, add the cost of the shoes ($7.50) and you have the total cost ($55.20):

$15.90x + $7.50 = $55.20

Subtract $7.50 from both sides:

$15.90x = $47.70

Divide both sides by $15.90:

x = 3 (the number of games they bowled)

A high school basketball coach wants to see whether there is a linear relationship between player height, x , and the number of points scored in a game by basketball players in the coach’s state, y. The 96 percent confidence interval to estimate the slope of the linear regression line relating player height to points scored in a game is calculated to be (−0.432,1.844) . Assume all conditions for inference for the slope of a regression line were met. Based on the confidence interval, which of the following claims is supported by the confidence interval?
A. Each player scored at most 1.844 points in a game.
B. The average difference between actual points scored and predicted points scored is between -0.432 and 1.844.
C. There is a positive linear relationship between player height and number of points scored for basketball players in the coach's state.
D. There is a negative linear relationship between player height and number of points scored for basketball players in the coach's state.
E. It cannot be determined whether the linear relationship between player height and number of points scored for basketball players in the coach's state is positive or negative

Answers

Answer:

E

Step-by-step explanation:

Since 0 is in confidence interval, and negative and positive values are also, we are 96% confident in all possible answers in this interval so since true slope could be negative or positive in our interval, we cannot determine it

It cannot be determined whether the linear relationship between player height and number of points scored for basketball players in the coach's state is positive or negative (Option E)

How to interpret the confidence interval?

Suppose the confidence interval at P% for some parameter's values is given by

[tex]x \pm y[/tex]

That means, that parameter's estimated value is P% probable to lie in the interval

[tex][x-y,x+y][/tex]

For this case, the slope of the linear regression line relating player height to points scored in a game is in the interval (−0.432,1.844) with 96% confidence.

So, we are 96% sure about the slope of the considered linear regression being in this interval. There is nothing more conveyed by this confidence interval about the slope.

Option A, B, C and D therefore are false as they state facts about slope which are not obtainable from the given data.

Thus, "it cannot be determined whether the linear relationship between player height and number of points scored for basketball players in the coach's state is positive or negative "(Option E) is corect here.

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Solve x2 + 6x = 7 by completing the square. Which is the solution set of the equation?

Answers

Use the formula b over 2 squared In order to create a new term, solve for x by using this term to complete the square. X= 1, -7

Need the answer for x and y

Answers

Answer:

See below

Step-by-step explanation:

There is no 'y' in your question but I will answer the Q in the pic:

  the two sides are equal    so

10x-1 = 8x+11

2x = 12

x = 6                 then CD = 8x+11 = 8(6)+ 11 = 59  units

PLZ needed now plz URGENT!

Answers

Answer:

Realtionship B

Step-by-step explanation:

Relationship A doesn't pass the line test

Jonas has 16 carnations and 12 roses. He wants to make identical bouquets for a party. How many bouquets can he make?

Answers

Answer:

Jonas can make 4 bouquets, each containing 4 carnations and 3 roses.

Step-by-step explanation:

Given that Jonas has 16 carnations and 12 roses, and he wants to make identical bouquets for a party, to determine how many bouquets can he make the following calculation must be performed, obtaining the largest common divisor between both numbers:

12 = Divisible by 2, 3, 4, 6 and 12

16 = Divisible by 2, 4, 8 and 16

Thus, the common greatest divisor between the two numbers is 4.

12/4 = 3

16/4 = 4

So, Jonas can make 4 bouquets, each containing 4 carnations and 3 roses.

HELP PLEASEEEE!!! SOMEONE HELP ME FOR ONCE, NO ONE IS ANSWERING MY QUESTIONS AND IM SO FREAKING STRESSED OUT. OH MY GOD SOMEONE PLS IM BEGGING YOU EXPLAIN YOUR ANSWER STEP BY STEP FOR ONCE

In 1985 an antique automobile club had 23,000 members. Since then its membership has grown at an average rate of 5% per year. Assuming this trend continues, how many members will there be in 2020? Round to the nearest thousand.
a) 112,000 members
b) 78,000 members
c) 151,000 members
d) 127,000 members

Answers

Answer:

I have come to the conclusion that it is A. 112,000

Answer:

d) 127,000 members

Step-by-step explanation:

In this problem we have an exponential function of the form

where  a is the initial value

b is the base

The base is equal to  b=1+r

r is the average rate

In this problem we have  a=23,000 members

r=5%=5/100=0.05

b=1+0.05=1.05

substitute

x ----> is the number of years since 1985

How many members will there be in 2020?

x=2020-1985=35 years

substitute in the function

Round to the nearest thousand

1. In a fishing contest, the two largest bass weighed a total
of 22 pounds. The first-place bass weighed 8 pounds
more than the second-place bass. Find the weights of
the first-place and second-place bass.

Answers

Answer:

First place fish weights 15 pounds.

Second place fish weights 7 pounds.

Step-by-step explanation:

7+8=15

15+7=22

Hope this helped!

draw to show 5- 2 on the number line

Answers

Answer:

the image is there

Step-by-step explanation:

Calculus helpppppppppppppppp

Answers

Answer:

[tex]\displaystyle y' = \frac{5x^2 + 3}{3(1 + x^2)^\bigg{\frac{2}{3}}}[/tex]

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Algebra I

FunctionsFunction NotationExponential Rule [Root Rewrite]:                                                                     [tex]\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}[/tex]

Algebra II

Logarithms and Natural LogsLogarithmic Property [Multiplying]:                                                                 [tex]\displaystyle log(ab) = log(a) + log(b)[/tex]Logarithmic Property [Exponential]:                                                                [tex]\displaystyle log(a^b) = b \cdot log(a)[/tex]

Calculus

Derivatives

Derivative Notation

Derivative Property [Multiplied Constant]:                                                              [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]

Derivative Property [Addition/Subtraction]:                                                            [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]

Basic Power Rule:

f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹

Derivative Rule [Chain Rule]:                                                                                       [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]

Logarithmic Derivative:                                                                                                [tex]\displaystyle \frac{d}{dx} [lnu] = \frac{u'}{u}[/tex]

Implicit Differentiation

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle y = x\sqrt[3]{1 + x^2}[/tex]

Step 2: Rewrite

[Equality Property] ln both sides:                                                                     [tex]\displaystyle lny = ln(x\sqrt[3]{1 + x^2})[/tex]Logarithmic Property [Multiplying]:                                                                 [tex]\displaystyle lny = ln(x) + ln(\sqrt[3]{1 + x^2})[/tex]Exponential Rule [Root Rewrite]:                                                                     [tex]\displaystyle lny = ln(x) + ln \bigg[ (1 + x^2)^\bigg{\frac{1}{3}} \bigg][/tex]Logarithmic Property [Exponential]:                                                                [tex]\displaystyle lny = ln(x) + \frac{1}{3}ln(1 + x^2)[/tex]

Step 3: Differentiate

ln Derivative [Implicit Differentiation]:                                                             [tex]\displaystyle \frac{d}{dx}[lny] = \frac{d}{dx} \bigg[ ln(x) + \frac{1}{3}ln(1 + x^2) \bigg][/tex]Rewrite [Derivative Property - Addition]:                                                        [tex]\displaystyle \frac{d}{dx}[lny] = \frac{d}{dx}[ln(x)] + \frac{d}{dx} \bigg[ \frac{1}{3}ln(1 + x^2) \bigg][/tex]Rewrite [Derivative Property - Multiplied Constant]:                                      [tex]\displaystyle \frac{d}{dx}[lny] = \frac{d}{dx}[ln(x)] + \frac{1}{3}\frac{d}{dx}[ln(1 + x^2)][/tex]ln Derivative [Chain Rule]:                                                                                [tex]\displaystyle \frac{y'}{y} = \frac{1}{x} + \frac{1}{3} \bigg( \frac{1}{1 + x^2} \bigg) \cdot \frac{d}{dx}[(1 + x^2)][/tex]Rewrite [Derivative Property - Addition]:                                                        [tex]\displaystyle \frac{y'}{y} = \frac{1}{x} + \frac{1}{3} \bigg( \frac{1}{1 + x^2} \bigg) \cdot \bigg( \frac{d}{dx}[1] + \frac{d}{dx}[x^2] \bigg)[/tex]Basic Power Rule]:                                                                                           [tex]\displaystyle \frac{y'}{y} = \frac{1}{x} + \frac{1}{3} \bigg( \frac{1}{1 + x^2} \bigg) \cdot (2x^{2 - 1})[/tex]Simplify:                                                                                                             [tex]\displaystyle \frac{y'}{y} = \frac{1}{x} + \frac{1}{3} \bigg( \frac{1}{1 + x^2} \bigg) \cdot 2x[/tex]Multiply:                                                                                                             [tex]\displaystyle \frac{y'}{y} = \frac{1}{x} + \frac{2x}{3(1 + x^2)}[/tex][Multiplication Property of Equality] Isolate y':                                                [tex]\displaystyle y' = y \bigg[ \frac{1}{x} + \frac{2x}{3(1 + x^2)} \bigg][/tex]Substitute in y:                                                                                                  [tex]\displaystyle y' = x\sqrt[3]{1 + x^2} \bigg[ \frac{1}{x} + \frac{2x}{3(1 + x^2)} \bigg][/tex][Brackets] Add:                                                                                                 [tex]\displaystyle y' = x\sqrt[3]{1 + x^2} \bigg[ \frac{5x^2 + 3}{3x(1 + x^2)} \bigg][/tex]Multiply:                                                                                                             [tex]\displaystyle y' = \frac{(5x^2 + 3)\sqrt[3]{1 + x^2}}{3(1 + x^2)}[/tex]Simplify [Exponential Rule - Root Rewrite]:                                                    [tex]\displaystyle y' = \frac{5x^2 + 3}{3(1 + x^2)^\bigg{\frac{2}{3}}}[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Implicit Differentiation

Book: College Calculus 10e

The area of a rectangular living room is 264 square feet. The length of the room is 2 feet less than twice the width.
What is the width of the living room in feet?

Answers

9514 1404 393

Answer:

  12 ft

Step-by-step explanation:

Let the width of the room be represented by w. Then the length is (2w-2), and the area is ...

  A = LW

  264 = (2w-2)w

  132 = w² -w . . . . . . . divide by 2, eliminate parentheses

  132.25 = w² -w +.25 . . . . . add (-1/2)² to complete the square

  √132.25 = w -0.5 . . . . . take the square root

  0.5 +11.5 = w = 12 . . . . . add 0.5; use the positive root

The width of the living room is 12 feet.

If you apply the changes below to the quadratic parent function, f(x) = x?,
what is the equation of the new function?
• Shift 1 unit right.
• Vertically stretch by a factor of 5.
• Reflect over the x-axis.
O A. g(x) = (-5x + 1)2
O B. g(x) = -5(x + 1)2
O C. g(x) = 5x2 - 1
O D. g(x) = -5(x - 1)2

Answers

Answer:

The answer is A

Step-by-step explanation:

(D) g(x) = -5(x-1)² is the correct answer for the given changes in function.

What is the function?

A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.

The starting parent function is f(x) = x².

To shift 1 unit right, we need to replace x with (x-1).

To vertically stretch by a factor of 5, we need to multiply the function by 5.

To reflect over the x-axis, we need to multiply the function by -1.

So the new function g(x) can be written as:

g(x) = -5(x-1)²

Therefore, the correct answer is (D) g(x) = -5(x-1)².

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for the following problems do at least one problem using unit form and at least one problem using fraction form 3.2 x 1.4=

Answers

the one above me was correct just did it^^

Find the slope and the y intercept

Answers

Slope = 4/3
Y intercept = (0,2)
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