Help please!<br>a= 2 <br>b= -4<br>c= -3<br>d= 5<br><br>help and explain how to do it pleaseee

The average number of minutes Americans commute to work is 27.7 minutes. The average commute time in minutes for 48 cities are a

dolphi86 [110]

Answer:

a) $\bar X = \frac{\sum_{i=1}^n X_i}{n}$

And replacing we got:

$\bar X = 27.2$

b) For this case we have n =48 observations and we can calculate the median with the average between the 24th and 25th values on the dataset ordered.

20.4 20.4 20.5 21.7 22.3 23.3 23.6 23.7 23.7 23.7 23.9 23.9 24.1 24.3 24.7 24.9 25.1 25.1 25.1 25.2 25.3 25.6 26.1 26.1 26.4 26.5 26.7 27.1 27.1 27.4 27.6 28.4 28.6 28.6 28.7 28.8 28.8 29.6 31.0 32.0 32.0 32.4 32.5 32.9 33.1 34.5 38.4 44.1

For this case the median would be:

$Median = \frac{26.1+26.4}{2}=26.25 \approx 26.3$

c) $Mode= 23.2, 25.1$

And both with a frequency of 3 so then we have a bimodal distribution for this case

Step-by-step explanation:

For this case we have the following dataset:

23.6, 26.5, 28.6, 28.6, 23.7, 25.3, 24.9, 28.7, 26.7, 32.4, 20.4, 23.9, 32.0, 32.5, 23.7, 26.1, 21.7, 26.1, 38.4, 24.1, 20.5, 25.2, 31, 26.4, 27.1 ,25.1, 25.1, 23.7, 23.9, 32.9, 28.8, 25.6, 28.8, 28.4, 32, 27.6, 29.6, 44.1, 27.1, 24.7, 22.3, 24.3, 23.3, 27.4, 20.4, 25.1, 34.5, 33.1

Part a

We can calculate the mean with the following formula:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

And replacing we got:

$\bar X = 27.2$

Part b

For this case we have n =48 observations and we can calculate the median with the average between the 24th and 25th values on the dataset ordered.

20.4 20.4 20.5 21.7 22.3 23.3 23.6 23.7 23.7 23.7 23.9 23.9 24.1 24.3 24.7 24.9 25.1 25.1 25.1 25.2 25.3 25.6 26.1 26.1 26.4 26.5 26.7 27.1 27.1 27.4 27.6 28.4 28.6 28.6 28.7 28.8 28.8 29.6 31.0 32.0 32.0 32.4 32.5 32.9 33.1 34.5 38.4 44.1

For this case the median would be:

$Median = \frac{26.1+26.4}{2}=26.25 \approx 26.3$

Part c

For this case the mode would be:

$Mode= 23.2, 25.1$

And both with a frequency of 3 so then we have a bimodal distribution for this case

4 0

3 years ago

Debbie's bank offers an online bill pay service. For this, the bank charges $2.25 per month plus $0.10 per bill paid using the s

Andru [333]

Based on the information given, the number of bills will have to be between 13 and 28 every month.

<h3>Solving equations</h3>

Let the number of bills be represented by x.

Therefore, the equation to solve the question will be:

2.25 + (0.10 × x) = 3.50

2.25 + 0.10x = 3.50

0.10x = 3.50 - 2.25

0.10x = 1.25

x = 1.25/0.10 = 12.5 = 13

Also, 2.25 + 0.10x = 5.00

0.10x = 5.00 - 2.25

0.10x = 2.75

x = 27.5 = 28

Therefore, the number of bills will be between 13 and 28 every month.

Learn more about equations on:

brainly.com/question/13763238

7 0

2 years ago

Which shows a right triangle

irakobra [83]

Answer:

the secound triangle shows right angle

Step-by-step explanation:

But the question says it is 91 ⁰ so the question may be wrong

3 0

2 years ago

Read 2 more answers

Plz plz help it’s due at 12 Btw only number 12

Marta_Voda [28]

Answer:

12.

Step-by-step explanation:

I'm sorry. I really don't know what you mean. I just wrote 12 because you want only the number twelve?

4 0

2 years ago

State the number of complex roots and the possible number of real and imaginary roots for each equation. The find all roots? If

sergeinik [125]

Answer:

x =2

x = -2

Step-by-step explanation:

(x - 2)(x + 2)(x^2 + 4) = 0

(x - 2) = 0

x = 0 + 2

x = 2

(x + 2) = 0

x = - 2

(x^2 + 4) = 0

x^2 = 4

x = $\sqrt{4}$

x = 2

4 0

2 years ago

Help please!a= 2 b= -4c= -3d= 5help and explain how to do it pleaseee