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John is interested in purchasing a multi-office building containing five offices. The current owner provides the following probability distribution indicating the probability that the given number of offices will be leased each year. Number of Lease Offices 0 1 2 3 4 5 Probability 5/18 1/4 1/9 1/18 2/9 1/12 If each yearly lease is $12,000, how much could John expect to collect in yearly leases for the whole building in a given year?(in dollars)a) E(X) = $23,353.33b) E(X) = $23,333.33c) E(X) = $23,273.33d) E(X) = $23,263.33e) E(X) = $23,423.33f) None of the above.
General
6 months ago
Fresh pond has a population of 854 and is increasing by 3 people per year. Strawberry has a population of 427 and is increasing by 10% per year. Write an equation that models the growth for each town.
General
6 months ago
What is the equation of the line from the table shown? x -1 0 1 y 6 4 2 Question 3 options: y = 2x + 2 y = 1/2 x + 2 y = 1/2 x + 4 y = 2x + 4
General
6 months ago
Given the domain {-4, 0, 5}, what is the range for the relation 12x + 6y = 24? A. {2, 4, 9} B. {12, 4, -6} C. {-4, 4, 14} D. {-12, -4, 6}
General
6 months ago
use the method of completing the square to solve y²+y-7=0
General
6 months ago
Select the correct answer. (-1,1) (0,-1) (5,-11) (10,-21) What is the domain of the set of ordered pairs above? A. {-1, 0, 5, 10} B. {1, -1, -11, -21} C. {-1, 10} D. {-1, 1}
General
6 months ago
Create a system of equation.
General
6 months ago
Working simultaneously at their respective constant rates, Machines A and B produce 800 nails in x hours. Working alone at its constant rate, Machine A produces 800 nails in y hours. In terms of x and y, how many hours does it take Machine B, working alone at its constant rate, to produce 800 nails?(A) x/(x+y)(B) y/(x+y)(C) xy/(x+y)(D) xy/(x-y)(E) xy/(y-x)
General
6 months ago
????⃗ (x,y)=(3x−4y)????⃗ +2x????⃗ F→(x,y)=(3x−4y)i→+2xj→ and ????C is the counter-clockwise oriented sector of a circle centered at the origin with radius 44 and central angle ????/3π/3. Use Green's theorem to calculate the circulation of ????⃗ F→ around ????C.
General
6 months ago
The perimeter of a rectangle can be found using the equation P = 2L + 2W, where P is the perimeter, L is the length, and W is the width of the rectangle. Can the perimeter of the rectangle be 60 units when its width is 11 units and its length is 24 units? No. If the length is 24 units and the width is 11 units, the perimeter would be P = 48 + 22 = 70 units, not 60. No. If the length is 24 units and the width is 11 units, the perimeter would be P = 24 + 22 = 66 units, not 60. Yes. If the perimeter is 60 units and the width is 11 units, then P + W is greater than 48. Yes. If the length is 24 units and the width is 11 units, then P = 2L + 2W = 60.
General
6 months ago
Find a negative real number such that the square of the sum of the number and 5 is equal to 1225. (Find a negative real number such that the square of the sum of the number and 5 is equal to 1225. (If th
General
6 months ago
what is y in the equation
General
6 months ago
Find the missing side length
General
6 months ago
A wheelchair ramp is 4.2 m long. It rises 0.7 m. What is it's angle of inclination to the nearest degree?
General
6 months ago
What is the domain of the relation below? Is the relation a function? {(–5, 2), (7, 7), (3, 6), (1, 7)} Question 3 options: domain: {–5, 1, 7}; Yes, it is a function domain: {–5, 1, 3, 7}; No, it is not a function domain: {–5, 1, 3, 7}; Yes, it is a function domain: {2, 6, 7}; Yes, it is a function domain: {2, 6, 7}; No, it is not a function
General
6 months ago
A farmer is tracking the number of soybeans his land is yielding each year. He finds that the function f(x) = −x2 + 20x + 100 models the crops in pounds per acre over x years. Find and interpret the average rate of change from year 10 to year 20. The crop yield increased by 200 pounds per acre from year 10 to year 20. The crop yield increased by 100 pounds per acre from year 10 to year 20. The crop yield decreased by 10 pounds per acre from year 10 to year 20. The crop yield decreased by 0.1 pounds per acre from year 10 to year 20.
General
6 months ago
a. Find PR in the diagram b. Find the perimeter of quadrilateral PQRS
General
6 months ago
What is the best approximation of the solution to the system to the nearest integer values? (7, 1) (7, 0) (1, 7) (0, 6)Graph of a system of linear equations. Equation 1 is x minus y equals negative 6. Equation 2 is 5x plus 3y equals 24.
General
6 months ago
Formulate the recursive formula for the following geometric sequence.{-16, 4, -1, ...} Show all your work please:)
General
6 months ago
You have a standard deck of 52 cards (i.e., 4 aces, 4 twos, 4 threes, …, 4 tens, 4 jacks, 4 queens, and 4 kings) that contains 4 suits (hearts, clubs, spades, and diamonds). We draw one card from the deck. What is the probability that the card is NEITHER a face card (jack, king, or queen) NOR a heart? 27/52
General
6 months ago
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