What is the interquartile range of the lengths of bananas?

What Is The Interquartile Range Of The Lengths Of Bananas?

Answers

Answer 1

Answer:42/80

Step-by-step explanation:

We know that the shop only buys abanans with lengths between 13 cm and 20 cm.So, the fraction of the 80 bananas is actually a ratio between the y-values of each lenth (13 and 20 cm) and the total 80. First, let's see which y-values belong to each length.Notice that 13 belons to 20 at Cumulative Frequency. And 20 belongs to 62. So, the pairs are (13,20) and (20,62).This fraction means that the shop only buys 42 bananas out of 80, because those are between 13 cm and 20 cm.

Answer 2

The solution is: the interquartile range of the lengths of bananas is  between 13 cm and 20 cm.

What is interquartile range?

In descriptive statistics, the interquartile range tells you the spread of the middle half of your distribution. Quartiles segment any distribution that's ordered from low to high into four equal parts. The interquartile range (IQR) contains the second and third quartiles, or the middle half of your data set.

We know that the shop only buys bananas with lengths between 13 cm and 20 cm.

So, the fraction of the 80 bananas is actually a ratio between the y-values of each length (13 and 20 cm) and the total 80.

First, let's see which y-values belong to each length.

Notice that 13 belongs to 20 at Cumulative Frequency.

And 20 belongs to 62.

So, the pairs are (13,20) and (20,62).

This fraction means that the shop only buys 42 bananas out of 80,

because those are between 13 cm and 20 cm.

Hence, The solution is: the interquartile range of the lengths of bananas is  between 13 cm and 20 cm.

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Related Questions

Can someone help me it geometry

Answers


First solve for x:

4x-8 + 3x+8 = 140

7x = 140

x= 20



Plug it in:

Angle ABD: 4(20) -8 = 72°

Angle DBC: 3(20) +8 = 68°

Which is the graph of y ≤ 1 – 3x?

Answers

Step-by-step explanation:

To graph an equation using the slope and y-intercept, 1) Write the equation in the form y = mx + b to find the slope m and the y-intercept (0, b). 2) Next, plot the y-intercept. 3) From the y-intercept, move up or down and left or right, depending on whether the slope is positive or negative.

Adam and Kevin are roommates. Adam can clean their apartment in 45 minutes. Kevin can clean it in 60 minutes. Rounded to the nearest minute, how much time will it take if they work together?

Answers

Rate of Adam = 45 min : 1 apartment
Rate of Kevin = 60 min : 1 apartment
If Adam works for 15 min he can cover: 1/3 apartment
If Kevin works for 15 min he can cover : 1/4 apartment
In 30 min Adam and Kev cover 1/3 + 1/4 = 7/12
For 12/12, whole apartment = (30/7) x 12
= 4.2857 x 12
51.428
= 51 minutes

An air traffic controller is tracking two planes.To start Plane A was at an altitude of 990 meters and plane B was at an altitude of 1476 meters.plane A is loosing altitude at 18 meters per second and plane b is loosing altitude at 27 meters per second.write an equation to show when the two planes would be at the same altitude

Answers

The equation representing when the two planes would be at the same altitude is 9x=486

In terms of mathematics, what is an equation?

Equation: A declaration that two expressions with variables or integers are equal. In essence, equations are questions, and attempts to systematically identify the solutions to these questions have been the driving forces behind the creation of mathematics.

From (a) we get that: Altitude of Plane A = 990-18x

Altitude of Plane B = 1476-27x

make 890 - 18x = 1476-27x

-18x+27 x = 1476-890

9x=486

X= 54

so pass 54 seconds will the two plane at the same altitude.

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What are the correct answers? 3 are correct

Answers

cut, quotient, separate, per

a grapefruit weight 3/4 of a kilogram. what is its weight in grams​

Answers

750 grams

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

Explanation below. Enjoy!

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

Personally, I think grapefruit is great. But that's unrelated. :)

You have to start with the values of kilograms and grams. So, here they are:

1 Kilogram = 1000 Grams

(For the record, the root kilo means 1000 in math.)

3/4 should be converted to decimals, so 0.75 is our number now.

0.75 kilograms = 750 grams

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

Have a wonderful day/night!

(Please consider leaving a Brainly, it would help me greatly!)

~pinetreee

Which ordered pair is a solution to the inequality 4x - 3y < 16?​

Answers

The ordered pair  (3, -1) that is a solution is the one which makes the inequality TRUE when the value of the ordered pairs are substitute into the inequality 4x - 3y < 16

What is a solution set to an inequality or an equation?

If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality. Set of such values is called solution set to the considered equation or inequality.

WE have been given an inequality as 4x - 3y < 16.

Here, we need to get the ordered pair solution to the system of linear equations.

Then Substitute x = 3 and y = -1 into 4x - 3y < 16

4(3) - 3(-1) < 16

12 + 3 < 16

15 < 16

(TRUE)

Therefore, the ordered pair, (3, -1) is the solution because it is the only given ordered pair which makes the inequality true.

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I NEED HELP ASAP!!!
See attached file.
20 Points!! First one gets brainlist!

Answers

Answer:

$75

Step-by-step explanation:

2x+2.49= 27.5+124.99

2x=159

x=75

Can someone help with this question?✨

Answers

The measure of the angle is 11. 5°

What are trigonometric identities?

Trigonometric Identities are defined as the identifiers involving  trigonometry functions and holding true for all the values of variables given in the equation.

The types of trigonometric identities include;

SineCosineTangentCosecantSecant

From the diagram shown, we can see that;

The opposite side of the angle is 2

The hypotenuse side of the angle is 10

The trigonometric identity in this case is sine

sin θ = opposite/ hypotenuse

Substitute the values

sin θ = 2/ 10

sin θ = 0. 2

Take the sine inverse of the value

θ = [tex]sin^-^1(0. 2)[/tex]

θ = 11. 5°

Thus, the measure of the angle is 11. 5°

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You have a canteen that holds 32 fluid ounces and weighs 0.25 pounds when empty. Water weighs 0.065 pound per fluid ounce. You begin a hike with a full canteen of water. Write and simplify an expression for the weight of the canteen and water after you drink x fluid ounces.

Answers

The simplification of the expression for the weight of the canteen after drinking is 2.33 lbs

How to write the expression

The total weight can be gotten as:

weight of empty canteen + ( 32 - x ) of the water x weight of water

This would be represented by

total weight = 0.25 + 0.065 * (32-x)

We have to open up the expression

weight = 0.25 + 2.08 - 0.065x

When the weight is 0 we would have

0.25 + 2.08 - 0.065x0

= 2.33 lbs

Hence the simplification of the expression for the weight of the canteen after drinking is 2.33 lbs

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What is standard deviation of 134.37

Answers

there has to be two data values.

Answer:

If its 134, 37 its 48.5

Step-by-step explanation:

2x - 3y less than or equal to 27?

Answers

Answer:less

Step-by-step explanation:

Answer:

Less Than

Step-by-step explanation:

Solve for yy. y=2x3y=2x3 Rewrite in slope-intercept form.y=23xy=23xUse the slope-intercept form to find the slope and y-intercept.Slope: 2323y-intercept: (0,0)(0,0)Any line can be graphed using two points. Select two xx values, and plug them into the equation to find the corresponding yyvalues.xy0032xy0032Graph the line using the slope and the y-intercept, or the points.

PLEASE HELP MEEE.....

Answers

im not sure sry man....... delete this answer bc im not sure how to

(0,0) and (-10, 6), then the midpoint is located at

Answers

Answer:

(-5,3)

Step-by-step explanation:

x: (-10-0)/2=-5

y: (6-0)/2=3

The junior varsity football
team scored 23 points in last Saturday’s
game. They scored a combination of 7-
point touchdowns and 3-point field goals.
How many touchdowns and how many
field goals did they score?

Answers

Answer:

 2 touchdowns, 3 field goals

Step-by-step explanation:

The number of touchdowns cannot be more than 3, so it is relatively easy to find the solution by trial and error.

 23 is not divisible by 3, so 0 touchdowns is not a solution

 23 -7 = 16 is not divisible by 3, so 1 touchdown is not a solution

 23 -14 = 9 is divisible by 3, so 2 touchdowns and 3 field goals is a solution

 21 -21 = 2 is not divisible by 3, so there is only one solution.

Answer:

1 touchdown and 3 field goals

3
25% of the fish in a pond are trout, of the fish are goldfish and
10
the rest of the fish are perch.
Write the ratio of trout to goldfish to perch in this pond in its
simplest form.
< Back to task
Watch video

Answers

The ratio of Trout to Goldfish to Perch in the pond by using ratio and proportion theorem in its simplest form is 5:2:13

As per the question statement, we are supposed to find out the ratio of Trout to Goldfish to Perch in the given pond in its simplest form.

It is given that 25% of the fish in a pond are Trout, 10% are Goldfish and the rest 65% are Perch in the given pond.

Let's suppose there are 100 fishes in the pond so

Number of Trout = 25% of 100 = 25

Number of Goldfish = 10% of 100 = 10

Number of Perch = 65% of 100 = 65

Using ratio and proportion theorem,

Trout : Goldfish : Perch = 25:10:65

Trout : Goldfish : Perch = 5 : 2 : 13

Ratio and Proportion: An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is any equation that sets or uses two ratios at the same value.

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Use the linear regression feature on a graphing calculator to find an equation of the line of best fit for the data. Round each value in your equation to the nearest tenth.

Answers

The equation of line for the given data is y = 5x -1.

According to the given question.

We have a data of points for a equaton of line.

As we know that the standard equation of line is y = mx + b.

Where, m is the slope of line and b is the y intercept.

Since, the points which are given in the data must satisfy y = mx + b.

Therefore,

Lets take the points (1, 4) and (2, 9) and substitute it in y = mx + b to find the value of m and b.

At x = 1 and y = 4

4 = m + b ..(i)

And at x = 2 and y = 9

9 = 2m + b ..(ii)

From equation i and ii

m = 5

So, b = -5 + 4 = -1

Hence, the equation of line for the given data is y = 5x -1.

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How is this not right???????
Absolute Max and min

Answers

Answer:

I honestly have no clue why you hot that wrong that is correct

Answer:

[tex]\textsf{(a)} \quad \textsf{Interval}=[-10,0].\\\textsf{1.} \quad \textsf{Absolute maximum}=\boxed{497}\\\textsf{2.} \quad \textsf{Absolute maximum}=\boxed{11}[/tex]

[tex]\textsf{(b)} \quad \textsf{Interval}= [-7, 2].\\\textsf{1.} \quad \textsf{Absolute maximum}=\boxed{445}\\\textsf{2.} \quad \textsf{Absolute maximum}=\boxed{-3}[/tex]

[tex]\textsf{(c)} \quad \textsf{Interval}=[-10, 2].\\\textsf{1.} \quad \textsf{Absolute maximum}=\boxed{497}\\\textsf{2.} \quad \textsf{Absolute maximum}=\boxed{-3}[/tex]

Step-by-step explanation:

Given function:

[tex]f(x)=x^3+12x^2-27x+11[/tex]

Differentiate the function:

[tex]\implies f'(x)=3 \cdot x^{3-1}+2 \cdot 12x^{2-1}-27x^{1-1}+0[/tex]

[tex]\implies f'(x)=3x^2+24x-27[/tex]

Find the critical points of the function by setting the derivative to zero and solving for x:

[tex]\implies f'(x)=0[/tex]

[tex]\implies 3x^2+24x-27=0[/tex]

[tex]\implies 3(x^2+8x-9)=0[/tex]

[tex]\implies x^2+8x-9=0[/tex]

[tex]\implies x^2+9x-x-9=0[/tex]

[tex]\implies x(x+9)-1(x+9)=0[/tex]

[tex]\implies (x-1)(x+9)=0[/tex]

[tex]\implies x-1=0 \implies x=1[/tex]

[tex]\implies x+9=0 \implies x=-9[/tex]

Therefore, the critical points are x = 1 and x = -9.

Evaluate the function at the endpoints of each interval as well as the critical points if the critical points fall within the given interval.  The largest and smallest values of the function are the absolute extrema.

Part (a)

Given interval = [-10, 0].

One of the critical points is included in the interval.

Evaluate the function at the endpoints and critical point:

[tex]f(-10)=(-10)^3+12(-10)^2-27(-10)+11=481[/tex]

[tex]f(0)=(0)^3+12(0)^2-27(0)+11=11[/tex]

[tex]f(-9)=(-9)^3+12(-9)^2-27(-9)+11=497[/tex]

Therefore:

The absolute maximum of f(x) is 497 which occurs at x = -9.The absolute minimum of f(x) is 11 which occurs at x = 0.

Part (b)

Given interval = [-7, 2].

One of the critical points is included in the interval.

Evaluate the function at the endpoints and critical point:

[tex]f(-7)=(-7)^3+12(-7)^2-27(-7)+11=445[/tex]

[tex]f(2)=(2)^3+12(2)^2-27(2)+11=13[/tex]

[tex]f(1)=(1)^3+12(1)^2-27(1)+11=-3[/tex]

Therefore:

The absolute maximum of f(x) is 445 which occurs at x = -7.The absolute minimum of f(x) is -3 which occurs at x = 1.

Part (c)

Given interval = [-10, 2].

Both of the critical points are included in the interval.

Evaluate the function at the endpoints and critical points:

[tex]f(-10)=(-10)^3+12(-10)^2-27(-10)+11=481[/tex]

[tex]f(2)=(2)^3+12(2)^2-27(2)+11=13[/tex]

[tex]f(-9)=(-9)^3+12(-9)^2-27(-9)+11=497[/tex]

[tex]f(1)=(1)^3+12(1)^2-27(1)+11=-3[/tex]

Therefore:

The absolute maximum of f(x) is 497 which occurs at x = -9.The absolute minimum of f(x) is -3 which occurs at x = 1.

Two of the dozen eggs in a carton are cracked. About what percent of the carton is cracked?

Answers

The most appropriate choice of percentage will be given by-

16.67 % of carton is cracked

What is Percentage?

Percentage is a ratio expressed as a percentage of 100.

Here,

Number of eggs cracked = 2

Total number of eggs = 12

Percentage of carton cracked = [tex]\frac{2}{12} * 100[/tex]

                                                  = 16.67 %

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m to the second power equals 14

Answers

Answer:

bro whut are u doing here? -.-

Which pairs of events are independent?

(a) P(A) = 0.46, P(B) = 0.57, P(A∩B) = 0.25.

Answers

P(A) and P(B) are not independent events.

Event A is said to be independent of event B if the probability of occurrence of one of them is not affected by the occurrence of the other.

 P(A∩B) = P(A)*P(B) for independent events, which is given 0.25 but P(A∩B) = P(A)*P(B) = 0.46*0.57 = 0.26, data does not match.

P(A) = 0.46 and P(B) = 0.57

For A and B to be independent

P (A and B) = 0.46*0.57 = 0.26         [ does not match with given data that is 0.25]

P (A, not B) =0.46*(1-0.57) = 0.19                                                        

P (B, not B) =0.57*(1-0.46) = 0.30

P (not A, not B) = (1-0.46) *(1-0.57) = 0.23

To check if they are independent, sum of all values should be equal to 1

0.57+0.19+0.30+0.23 = 0.98 which is not equal to one.

Therefore P(A) and P(B) are not independent events.

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5 boxes of books in the room . Each box has 36 books . How many books in all

Answers

just multiply 36 by 5 = 180

What are the coordinates of the point on the directed line segment from (2, -1) to (9, 6) that partitions the segment into a ratio of 5 to 2?

Answers

Answer:

Fill in the blanks to declare sum equal to a + b (int _ = a __b)Which of the following is not a valid variable name in python?What shape represents the start and end of a flowchart?Which of the following is not a valid variable name in python?An integer data type can hold decimal values.Which of the following is not a valid variable name in python?An integer data type can hold decimal values.Which of the following is not a valid variable name in python?Fill in the blanks to declare sum equal to a + b (int _ = a __b)Variables must be defined with a name and a data type before they

can be usedAn integer data type can hold decimal values.Which of the following is not a valid variable name in python?Fill in the blanks to declare sum equal to a + b (int _ = a __b)Variables must be defined with a name and a data type before th

How many solutions does this equation have? 3x + 1 = 3( x - 1) + 4

Answers

Answer:

infinite number

Step-by-step explanation:

3x + 1 = 3(x - 1) + 4

3x + 1 = 3x - 3 + 4

3x + 1 = 3x + 1

3x = 3x

x = x

x = x is true for every value of x, so the equation has an infinite number of solutions.

Wendell mailed four packages. Each weighed 1 and 3/8 pounds. What was the total weight of the four packages?

Answers

The total weight of 4 packets will be equal to 5 and 1 / 2 pounds.

We are given that:

The total number of packages = 4

Weight of each of the package is given as 1 and 3 / 8 pounds

Weight of 1 package = 1 and 3 / 8 pounds.

Weight of 1 package = 11 / 3 pounds

Now, we need to calculate the total weight of 4 packets.

We will do this my multiplying 4 with the weight of each packet.

So, we get that:

Total weight of 4 packets = 4 × 11 / 8 pounds.

Total weight of 4 packets = 11 / 2 pounds

Total weight of 4 packets = 5 and 1 / 2 pounds.

Therefore, the total weight of 4 packets will be equal to 5 and 1 / 2 pounds.

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lee is traveling by train. he has 270 miles left to travel.after 2 hours,he has 180 miles remaining.the train travels at a constant rate for the entire trip.what is the speed of the train and the distance of the trip?

Answers

270-180= 90 the distance of the trip is 90 miles and the speed of the train is 45 miles per an hr

What was the vertical distance, d, of his jump, rounded to the nearest tenth?

Answers

The vertical distance of the jump is 4.8 feet.

What was the vertical distance, d, of his jump, rounded to the nearest tenth?

We know that the equation that relates the vertical distance of the jump and the time is:

t = √d/2

In this case, we know that the time is t = 1.09 seconds, replacing that in the equation we get:

1.09 = √d/2

Now we can solve that equation for d.

1.09*2 =  √d

Now we apply an exponent of 2 in both sides to remove the square root:

2.18^2 = d = 4.8 ft

The vertical distance of the jump is 4.8 feet.

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I NEED HELP. I NEED TO SOLVE THIS BUT I DONT KNOW HOW TO! I NEED TO TURN IT IN BEFORE THE 29TH!

Answers

Answer: 1: $27.92

Step-by-step explanation: Multiply the amount of goodie bags (8) by how much they cost individually ($3.49) and you should come out with the answer $27.92.

Answer: 2 : $37.5

Step-by-step explanation: This would be considered not using long division but this should be the only practical answer. Using long division you would come up with 37 with a remainder of 2, which doesn't seem to be correct.

Answer: 3 : $177.92

Step-by-step explanation: Adding the cost of both the goodie bags and the 4 hours worth of the bounce house the total should have came out to be, $177.92

how do u solve -3|4x-9|=24

Answers

Answer:

No solution

Step-by-step explanation:

An absolute value expression being multiplied by a negative number will never have a positive y-value output like 24. You can see this when the equation is graphed.

Find the formula for the nth term of the following sequence:

648, 108, 18, 3...

Include "n=" in your answer, and do not use any spaces.

Answers

The nth term of the sequence is Tn = 3888^n - 1

What is a geometric sequence?

A geometric sequence can be defined as a sequence in which each term is determined by multiplying the preceding term in the sequence by the same value.

The formula for the nth term of a geometric sequence is expressed as;

Tn = ar^n - 1

Where;

Tn is the nth terma is the first termr is the common ratio

From the given sequence, we have that;

a = 648

r = 6

Substitute into the formula

Tn = 648 × 6^n - 1

Tn = 3888^n - 1

Thus, the nth term of the sequence is Tn = 3888^n - 1

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