1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
pantera1 [17]
3 years ago
7

A telemarketing firm is monitoring the performance of its employees based on the number of sales per hour. One employee had the

following sales for the last 20 hours
3 4 5 5 6 7
a. What is quartile one for the distribution of number of sales per hour?
b. What is the first quartile for the distribution of number of sales per hour?
c. What is the third quartile for the distribution of number of sales per hour?
Mathematics
1 answer:
Len [333]3 years ago
6 0

Answer:

First quartile = 3.5

Third quartile = 6.5

Step-by-step explanation:

Sales for last 20 hours :

3, 4, 5, 5, 6, 7

Using the data given :

The first quartile, Q1 ;

Q1 = 1/4(n+1)th term

n = 6

Q1 = 1/4(6 + 1)th term

Q1 = 7/4 = 1.75 th term

(3 + 4) / 2 = 7/2 = 3.5

The third quartile, Q3:

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

n = 6

Q3 = 3/4(6 + 1)th term

Q3 = 21/4 = 5.25th term

(5th + 6th) term / 2

(6 + 7) / 2 = 13/2 = 6.5

You might be interested in
A pilot can travel 450 miles with the wind in the same amount of time as 360 miles against the wind. Find the speed of the wind
Lunna [17]

Given:

A pilot can travel 450 miles with the wind in the same amount of time as 360 miles against the wind.

Pilot's speed in still air is 315 miles per hour.

To find:

The speed of the wind.

Solution:

Let the speed of wind be x miles per hour.

Speed with wind = 315+x miles per hour

Speed against wind = 315-x miles per hour

We know that,

Time=\dfrac{Distance}{Speed}

According to the question,

\dfrac{450}{315+x}=\dfrac{360}{315-x}

Divide both sides by 90.

\dfrac{5}{315+x}=\dfrac{4}{315-x}

By cross multiplication, we get

5(315-x)=4(315+x)

5(315)-5x=4(315)+4x

5(315)-4(315)=4x+5x

(5-4)315=9x

Divide both sides by 9.

\dfrac{(1)315}{9}=x

35=x

Therefore, the speed of wind is 35 miles per hour.

4 0
3 years ago
Find the slope of the line that passes through (23, -30) and (-7, 18).
babymother [125]

Answer:

slope = - \frac{8}{5}

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (23, - 30) and (x₂, y₂ ) = (- 7, 18)

m = \frac{18-(-30)}{-7-23} = \frac{18+30}{-30} = \frac{48}{-30} = - \frac{8}{5}

6 0
3 years ago
A pentomino is made up of five squares where two squares are joined along an entire side. Two pen- tominos are the same if they
Studentka2010 [4]

There are 12 such shapes. One can start with two squares, adding squares around the edge and rejecting shapes that have been previously seen. Repeating until you have 5 squares results in 12 distinct shapes.

_____

2 shapes are possible with 3 squares: L, I

5 shapes are possible with 4 squares: L, I, N, T, O

5 0
3 years ago
A population of size 3,624 grows at a rate of 3% per year, compounded continuously. How big will the population be in 2 years?
rodikova [14]

Answer:

Step-by-step explanation:

The continuous compound formula is

y=Pe^{rt where P is the principle or starting value, r is the growth rate in decimal form, and t is the time in years. For us:

y=3624e^{(.03)(2)}\\y=3624e^{.06}\\y=3624(1.061836547)\\y=3848.09

which would probably round to just 3848 people.

8 0
3 years ago
Which of the following is the quotient of the rational expression (x-2/x+3) divided by (2/x)
zloy xaker [14]

Answer:

(x²-2x)/(2x+6)

Step-by-step explanation:

When you are asked to divide two fractions just do keep-change-flip. Keep the first fraction, change the ÷ to x and flip the second fraction upside down. So the problem becomes ((x-2)/(x+3)) times (x/2). Then just multiply numerators and multiply denominators.

6 0
3 years ago
Read 2 more answers
Other questions:
  • How many groups of 2/3 are in three
    13·1 answer
  • Which rate is equivalent to the unit rate of 13 miles per gallon? GOTTA HAVE THE CORRECT ANSWER IN 3 HOURS! HELP ME!
    14·2 answers
  • Miguel has 48 coins.of the 48 coins 5/8 are dimes.how many of the coins are dimes
    5·2 answers
  • URGENT! I'm not quite sure if it's either C or D...Can someone please help me?​
    11·1 answer
  • Write an equation to represent the relationship between red paint, r, and yellow paint, y, in each batch.​
    10·1 answer
  • Noah and Lin are making paper cones to hold popcorn to hand out at parent math night. They want the cones to hold 9 cubic inches
    8·1 answer
  • 8x-4y=-96 in slope intercept form
    14·1 answer
  • 4. Lynn can walk two miles intenta
    6·1 answer
  • Twenty toothpicks, each 6 cm long, form a figure consisting of six equilateral triangles and a rectangle as shown. What is the t
    9·1 answer
  • What are the zeroes of the function f(x)= 5x^2-25x/x
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!