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
ZanzabumX [31]
3 years ago
12

Mr. jovanovski is having wood flooring

Mathematics
1 answer:
Mars2501 [29]3 years ago
3 0

Answer:

By definition the area of a rectangle is:

A = l * w

Where,

l: long

w: width

So we have to clear the width:

w = A / l

Substituting the values:

w = (234) / (18) = 13

w = 13 feets

answer

the width, in feet, of the room is 13

Step-by-step explanation:

You might be interested in
The n candidates for a job have been ranked 1, 2, 3,..., n. Let X 5 the rank of a randomly selected candidate, so that X has pmf
jeka57 [31]

Question:

The n candidates for a job have been ranked 1, 2, 3,..., n.  Let x = rank of a randomly selected candidate, so that x has pmf:

p(x) = \left \{ {{\frac{1}{n}\ \ x=1,2,3...,n}  \atop {0\ \ \ Otherwise}} \right.

(this is called the discrete uniform distribution).

Compute E(X) and V(X) using the shortcut formula.

[Hint: The sum of the first n positive integers is \frac{n(n +1)}{2}, whereas the sum of their squares is \frac{n(n +1)(2n+1)}{6}

Answer:

E(x) = \frac{n+1}{2}

Var(x) = \frac{n^2 -1}{12} or Var(x) = \frac{(n+1)(n-1)}{12}

Step-by-step explanation:

Given

PMF

p(x) = \left \{ {{\frac{1}{n}\ \ x=1,2,3...,n}  \atop {0\ \ \ Otherwise}} \right.

Required

Determine the E(x) and Var(x)

E(x) is calculated as:

E(x) = \sum \limits^{n}_{i} \ x * p(x)

This gives:

E(x) = \sum \limits^{n}_{x=1} \ x * \frac{1}{n}

E(x) = \sum \limits^{n}_{x=1} \frac{x}{n}

E(x) = \frac{1}{n}\sum \limits^{n}_{x=1} x

From the hint given:

\sum \limits^{n}_{x=1} x =\frac{n(n +1)}{2}

So:

E(x) = \frac{1}{n} * \frac{n(n+1)}{2}

E(x) = \frac{n+1}{2}

Var(x) is calculated as:

Var(x) = E(x^2) - (E(x))^2

Calculating: E(x^2)

E(x^2) = \sum \limits^{n}_{x=1} \ x^2 * \frac{1}{n}

E(x^2) = \frac{1}{n}\sum \limits^{n}_{x=1} \ x^2

Using the hint given:

\sum \limits^{n}_{x=1} \ x^2  = \frac{n(n +1)(2n+1)}{6}

So:

E(x^2) = \frac{1}{n} * \frac{n(n +1)(2n+1)}{6}

E(x^2) = \frac{(n +1)(2n+1)}{6}

So:

Var(x) = E(x^2) - (E(x))^2

Var(x) = \frac{(n+1)(2n+1)}{6} - (\frac{n+1}{2})^2

Var(x) = \frac{(n+1)(2n+1)}{6} - \frac{n^2+2n+1}{4}

Var(x) = \frac{2n^2 +n+2n+1}{6} - \frac{n^2+2n+1}{4}

Var(x) = \frac{2n^2 +3n+1}{6} - \frac{n^2+2n+1}{4}

Take LCM

Var(x) = \frac{4n^2 +6n+2 - 3n^2 - 6n - 3}{12}

Var(x) = \frac{4n^2 - 3n^2+6n- 6n +2  - 3}{12}

Var(x) = \frac{n^2 -1}{12}

Apply difference of two squares

Var(x) = \frac{(n+1)(n-1)}{12}

3 0
3 years ago
Over a period of years, a certain town observed that the correlation between x, the number of people attending churches, and y,
Alla [95]
No, it is a correlation not a causation.
5 0
3 years ago
Help answer fast!!!!!!!!!
PilotLPTM [1.2K]

C is the correct answer, because the equation on the two sides are the exact.

4 0
3 years ago
The volume of the cylinder above is 2.314.25 units, and the radius of the base is 8.9 units. Find the volume of the cone.
Rashid [163]

Answer: D. 771.42 units^3

Step-by-step explanation:

8 0
3 years ago
(-0.75x + 6) - (2.5x - 1.9)
Komok [63]

Answer:

problem given:  (-0.75x + 6) -(2.5x -1.9)

distribute: -0.75x+6 -2.5x-1.9

combine like terms: -0.75x-2.5x= -3.25x ; 1.9+6=7.6

solution:  -3.25x+7.6

7 0
3 years ago
Other questions:
  • Can someone please help? Explain, thank you.
    8·2 answers
  • 2(3y+5)=3(5y+1/3) <br> What is the solution of y
    12·1 answer
  • What is the range of the function f(x) = 3x − 12 for the domain {-2, 2}? {3, 12} {-6, -18} {6, 18} {12, 3}
    9·1 answer
  • Is 11/25 , 3/20 , 2/6 a repeating decimal ?
    6·1 answer
  • Find the approximate area of the shaded region below, consisting of a right triangle with a circle cut out of it. Use 3.14 as an
    12·1 answer
  • Some one must have beaten me here Devora thinks
    6·1 answer
  • Hector bought 6 bags of candy. There were 7 pieces of candy in each bag. How many pieces of candy did Hector buy?
    8·2 answers
  • Find the area of the following shape
    11·2 answers
  • Hi someone is here to answer my question
    5·1 answer
  • Five times three fourths
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!