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2 years ago

What is the interquartile range of the following data set? 45,12,48,96,61,84,29,1,72,5,14

Mathematics

2 answers:

nadezda [96]2 years ago

7 0

Answer: 60

Step-by-step explanation: Apex said so

slava [35]2 years ago

6 0

Answer:

Step-by-step explanation:

Population size : 11

To calculate inter-quartile range

Order the data from least to greatest.

Find the median.

Calculate the median of both the lower and upper half of the data.

The IQR is the difference between the upper and lower medians.

Step 1

1, 5 , 12 ,14 , 29 , 45 , 48, 61 , 72 , 84 , 96

Step 2

medium = 45

Step 3

1 , 5 , 12 ,14 , 29

median = 12

48 , 61 , 72 , 84 , 96

median = 72

Step 4

IQ = Q3 - Q1

= 72 - 12

= 60

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A semi-ellipse-shaped gate has a maximum height of 20 feet and a width of 15 feet, both measured along the center. Can a truck w

Free_Kalibri [48]

<h2>Answer with explanation:</h2>

We are given a semi-ellipse gate whose dimensions are as follows:

Height of 20 feet and a width of 15 feet.

Now, if a truck is loaded then:

Height of truck is: 12 feet and a width of truck is: 16 feet

The truck won't pass through the gate since the width of truck is more than that of the gate.

When the truck is not loaded then:

Height of truck is: 12 feet and a width of truck is: 10 feet

The truck would easily pass through the gate since, the dimensions of truck are less than that of the gate.

6 0

2 years ago

You sell sporting goods. Your wages depend on the value of your sales. One week you sold $3,500 in sporting goods, earning $950.

Semmy [17]

Answer:

y = 0.2x + 250

Step-by-step explanation:

let the sales be x and y be earnings

thus,

given

x₁ = $3,500 ; y₁ = $950

and,

x₂ = $2,800 ; y₂ = $810

Now,

the standard line equation is given as:

y = mx + c

here,

m is the slope

c is the constant

also,

m = $\frac{y_2-y_1}{x_2-x_1}$

m = $\frac{810-950}{\textup{2,800-3,500}}$

m = 0.2

substituting the value of 'm' in the equation, we get

y = 0.2x + c

now,

substituting the x₁ = $3,500 and y₁ = $950 in the above equation, we get

$950 = 0.2 × $3,500 + c

$950 = $700 + c

c = $250

hence,

The equation comes out as:

y = 0.2x + 250

7 0

2 years ago

Define four symbolic constants that represent integer 25 in decimal, binary, octal, and hexadecimal formats

stealth61 [152]

Answer:

1) Decimal $25= (25)_{10}$

2) Binary $25= (11001)_2$

3) Octal $25= (31)_8$

4) Hexadecimal $25= (19)_{16}$

Step-by-step explanation:

Given : Integer is 25

To find : Represent integer in decimal, binary, octal, and hexadecimal formats.

Solution :

1) Integer into decimal - To convert into decimal the base goes to 10.

So, $25= (25)_{10}$

2) Integer into binary - To convert into binary the base goes to 2, it form in 0 and 1 and we divide integer by 2.

Divide 25 by 2 and note down the remainders.

2 | 25

2 | 12 R=1 ←

2 | 6 R=0 ↑

2 | 3 R=0 ↑

2 | 1 → R=1 ↑

So, $25= (11001)_2$

3) Integer into octal - To convert into octal the base goes to 8 and we divide integer by 8.

Divide 25 by 8 and note down the remainders.

8 | 25

| 3 → R=1

So, $25= (31)_8$

4) Integer into hexadecimal - To convert into hexadecimal the base goes to 16 and we divide integer by 16.

Divide 25 by 16 and note down the remainders.

16 | 25

| 1 → R=9

So, $25= (19)_{16}$

3 0

2 years ago

Emma went to a salon to get her hair cut. The price of the haircut is $65. She wants to leave a 20% tip. What is the total amoun

Rudiy27

Answer:

She should leave a total of $78.

Step-by-step explanation:

To find this, we first need to find the tip amount. We can do this by multiplying the total by the tip percentage.

$65 * 20% = $13

Now that we have that, we need to add it to the cost.

$65 + $13 = $78

8 0

2 years ago

Ashton surveyed some of the employees at his company about their cell phone habits. From the data, he concluded that most employ

SOVA2 [1]

It can't be A. since if you only look at managers, you are missing all the sales executives.

It may be C. this option is more random but doesn't guarantee that you will represent both groups of employee's. Also, each time you would conduct the survey, you will receive the exact same results since it is the same people.

It isn't D. for the exact same reason as A. but you're missing managers now.

Therefore the answer is B. Some managers and some sales executives selected at random. This way you get a sample from both categories, and within those groups, it is randomly selected.

I hope this helps!

3 0

2 years ago