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
alexira [117]
3 years ago
15

a classroom is arranged with 10 seats in the front row 12 seats in the middle row and 18 seats in the back row the teacher rando

mly assigned seats to students as they enter the classroom what is the probability of the first student who enter the classroom will be assigned a seat in the middle row?​
Mathematics
1 answer:
myrzilka [38]3 years ago
8 0

Answer:

3/10

Step-by-step explanation:

12/40 = 3/10

You might be interested in
QUESTION 3 [10 MARKS] A bakery finds that the price they can sell cakes is given by the function p = 580 − 10x where x is the nu
Harman [31]

Answer:

(a)Revenue function, R(x)=580x-x^2

Marginal Revenue function, R'(x)=580-2x

(b)Fixed cost =900 .

Marginal Cost Function=300+50x

(c)Profit,P(x)=-35x^2+280x-900

(d)x=4

Step-by-step explanation:

<u>Part A </u>

Price Function= 580 - 10x

The revenue function

R(x)=x\cdot (580-10x)\\R(x)=580x-x^2

The marginal revenue function

\dfrac{dR}{dx}= \dfrac{d}{dx}(R(x))=\dfrac{d}{dx}(580x-x^2)=580-2x\\R'(x)=580-2x

<u>Part B </u>

<u>(Fixed Cost)</u>

The total cost function of the company is given by c=(30+5x)^2

We expand the expression

(30+5x)^2=(30+5x)(30+5x)=900+300x+25x^2

Therefore, the fixed cost is 900 .

<u> Marginal Cost Function</u>

If  c=900+300x+25x^2

Marginal Cost Function, \frac{dc}{dx}= (900+300x+25x^2)'=300+50x

<u>Part C </u>

<u>Profit Function </u>

Profit=Revenue -Total cost

580x-10x^2-(900+300x+25x^2)\\580x-10x^2-900-300x-25x^2\\$Profit,P(x)=-35x^2+280x-900

<u> Part D </u>

To maximize profit, we find the derivative of the profit function, equate it to zero and solve for x.

P(x)=-35x^2+280x-900\\P'(x)=-70x+280\\-70x+280=0\\-70x=-280\\$Divide both sides by -70\\x=4

The number of cakes that maximizes profit is 4.

6 0
3 years ago
Your turn :will the set of numbers given form a right triangle?<br><br> 8 meter ,10 meter,12 meter
White raven [17]

Yes! It can!

The 12 meters will be the hypotenuse, the 10 meters can be a side and the 8 meters can be another side.

6 0
3 years ago
Is 55 miles per hour a unit rate ?
sveticcg [70]

Answer: wait I was wrong I saw thinking about something else

yes that is a unit rate.

3 0
2 years ago
Read 2 more answers
The frequency distribution representing the number of frequent flier miles accumulated by employees at Brumley Statistical Consu
alisha [4.7K]

Answer:

a. How many employees accumulated less than 3,000 miles?

The number of employees accumulated less than 3,000 miles= 5

So the number of employees accumulated less than 3,000 miles is 5.

d. Based on the cumulative frequency polygon, about 75% of the employees accumulated how many miles or less?

8.5 thousands of miles, found by starting at 75 percent on the vertical axis on the right, over to the polygon and then down to the horizontal axis.

Step-by-step explanation:

The given frequency distribution representing the number of frequent flier miles accumulated by the employees in a company.                        

Frequent Flier Miles (000) Frequency

0                     up to 3 5

3                      up to 6 12

6                      up to 9 23

9                     up to 12 8

12                   up to 15 2

Total                       50

a. How many employees accumulated less than 3,000 miles?

The number of employees accumulated less than 3,000 miles= 5

So the number of employees accumulated less than 3,000 miles is 5.

b. Convert the frequency distribution to a cumulative frequency distribution.

We make the cumulative frequency distribution from the frequency distribution by adding up a frequency and all other frequencies below it.                

Frequent Flier Miles Frequency Cumulative frequency

0 up to 3                                5 5

3 up to 6                                      12 17

6 up to 9                                      23 40

9 up to 12                               8 48

12 up to 15                               2 50

Total 50

d. Based on the cumulative frequency polygon, about 75% of the employees accumulated how many miles or less?

8.5 thousands of miles, found by starting at 75 percent on the vertical axis on the right, over to the polygon and then down to the horizontal axis.

8 0
3 years ago
Solve the inequality.<br><br> Please help.
Fantom [35]

Answer:

2 < x <_ 3.5

Step-by-step explanation:

First, find the value of x by writing it as an equation. Then, use 0 as x to determine the correct inequality.

3 0
3 years ago
Other questions:
  • 9. 8x3y2 – 7x2y + 8x + 4- 6x3y2 + 2x²y + 4x²y – 3x + 5
    13·1 answer
  • A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 430 gram setting. It is
    10·1 answer
  • pls solve quickly!: It took a boat 2 hours to reach town A going upstream. The way back was 1h20 min. What is the speed of the b
    6·1 answer
  • Write a rule for the function that shifts every point in the plane 10 units down and 4 units to the right
    13·1 answer
  • Number 3 i need the answer
    10·1 answer
  • Find the sum of arithmetic sequences 4+8+12+16+...+400
    14·2 answers
  • A prism with a length of 2 and one-fourth inches, height of 4 inches, and width of 2 inches.
    12·2 answers
  • Stan has an income of £2000 a month. He spends 2/5 of his income on rent. He spends 3/20 of his income on bills. He spends 1/10
    5·2 answers
  • Write an equation of the parabola in intercept form that passes through (-2, 0.05) with x-intercepts of -7 and -3
    12·1 answer
  • PLEASE HELP IM STUCK :((<br> K is the midpoint of JL<br> If:<br> JK=9x-5<br> KL=7x+3<br> Find JL.
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!