# Keonn'a

Popular questions and responses by Keonn'a
1. ## Statistics

Suppose that suppose that e and f are two events and that p(e)=0.8 and p(f/e)=0.4. what is p(e and f)?

2. ## College Algebra

The fox population in a certain region has an annual growth rate of 9% per year. In the year 2012, there were 20,700 foxes counted in the area. What is the fox population predicted to be in the year 2020? Round to the nearest fox. #Foxes

3. ## Math

Three even numbers sum up to 126. The smaller is half the larger and the middle number is 3/4 the larger. What are the three numbers (list in order from smallest to largest).

4. ## algebra

A company finds that it can make a profit of P dollars each month by selling x patterns, according to the formula P(x)=−0.002x^2+4.5x−800 . How many patterns must it sell each month to have a maximum profit? _______________ patterns What is the maximum

5. ## Math

The sum of a number and its reciprocal is 37/6. Find the number.

6. ## Algebra

Each of the following temperature ranges is in degrees Fahrenheit. Use the formulaF=9/5C+32 to find the corresponding temperature range in degrees Celsius (using interval notation and assume inclusion). a.23∘ to 50 ∘ b.68∘ to 86∘ c. -4∘ to 14∘

7. ## Statistics

Teen Communication The following data represent the number of different communication activities (e.g., cell phone, text messaging, e-mail, Internet, and so on) used by a random sample of teenagers over the past 24 hours. (a) Are the events “male” and

8. ## Help College Algebra

A ball is projected upward from the ground. Its distance in feet from the ground in t seconds is given by s(t) = -16t^(2)+128t At what will the ball be at 213ft from the ground?

9. ## Math

Two six-sided dice are rolled at the same time and the numbers showing are observed. Find the following. a. P(sum=6) (1,6), (6,1) 1/36+1/36=2/36 b. P(sum=3) =1/36 c. P(sum is an odd number) 30/36 d. P(the two dice show same numbers) ? Can you check my

10. ## Algebra

The maximum load a beam will support varies directly with the square of the diagonal of the beam's cross section.A beam with diagonal 6 inch will support a maximum load of 108 pounds. What load will a beam with a 10 inch diagonal support?

11. ## College Algebra

A projectile is thrown upward so that it's distance (in feet) above ground after t seconds is given by h(t)=-10t^2+440t. What is its maximum height?

12. ## College Algebra

The Jones family took a 24-mile canoe ride down a river in two hours. After lunch the return trip back up the river took four hours. Find the rate of the canoe in still water.

13. ## Math

The Empirical Rule: The weight,in the grams, of the pair of kidneys in adult males the ages of 40 and 49 has a bell-shaped distribution with a mean of 325 grams and a standard deviation of 30 grams. A) About 95% of kidney pairs will be between what

14. ## Math : Statistics

The dimensions of a rectangular photograph are even consecutive integers. The area of the photograph is 224square inches. Find the lengths of each side.

15. ## Statistics Math

. Drawing a Card Suppose that a single card is selected from a standard 52-card deck. What is the probability that the card drawn is a club? Now suppose that a single card is drawn from a standard 52-card deck, but we are told that the card is black. What

16. ## Statistics

Which Professor? Suppose Professor Alpha and Professor Omega each teach Introductory Biology. You need to Decide which professor to take the class from and have just completed your introductory statistics course. Records obtained from the past students

17. ## Statistics

The length a spring stretches is directly proportional to the force applied. If a force of 7 pounds stretches a spring 8 inches, how much force is necessary to stretch the same spring 3 inches?

18. ## math

A rectangular box is built by cutting out square corners from a 9" by 11" piece of cardboard, then folding the resulting flaps up to form the height. Let x represent the sides of the square corners being cut out. Express the volume of the box as a function

19. ## Math Help me.

Reduce the rational expression to lowest terms. If it is already in lowest terms, enter the expression in the answer box. Also, specify any restrictions on the variable. 25x^2−30x+8/25x^2−16

20. ## Math : Statistics

The formula h=vt−16t^2 gives the height h, in feet, of an object projected into the air with an initial vertical velocity v, in feet per second, after t seconds. If an object is projected upward with an initial velocity of 112 feet per second, at what

21. ## Math : Statistics

The length of a rectangle is 2 meters more than 2 times the width. If the area is 12 square meters, find the width and the length.

22. ## Math

A manufacturing company finds that they can sell 300 items at \$3.50 per item and 500 items at \$ 1.50 \$1.50 per item. If the relationship between the number of items sold x x and the price per item p p is a linear one: Find a formula that gives x in terms

23. ## algebra

15. Each of the following temperature ranges is in degrees Fahrenheit. Use the formula F=95 C+32 to find the corresponding temperature range in degrees Celsius (using interval notation and assume inclusion). 16.The fuel efficiency (mpg rating) for cars has

24. ## Algebra

Factor completely (x-2/3)^2-16(x-2/3)+63

25. ## Math

How long will it take for \$2,000 to double if it is invested at 7% annual interest compounded 3 times a year? Enter in exact calculations or round to 3 decimal places. It will take years to double. How long will it take if the interest is compounded

26. ## Statistics

The frequency of an electromagnetic wave varies inversely with the wavelength. If a wavelength of 200 meters has a frequency of 800 kilocycles per second, what frequency will be associated with wave length of 400 meters?

27. ## Math

Reduce the rational expression to lowest terms. If it is already in lowest terms, enter the expression in the answer box. Also, specify any restrictions on the variable. 6a^4+162a^3a^4−9a^3+27a^2

28. ## Math

Reduce the rational expression to lowest terms. 250y+100xy+10x^2y/125y−5x^2y

29. ## Statistics

A coin is tossed 8 times. The probability of getting a head on any one toss is 0.5. To the nearest thousandth, find the probability of getting 4 heads. P(4 heads)=we want 4 of 8 heads 8 nCr 4 (1/2)^4(1-1/2)^8-4 70(1/16)*(1/2)^4 I am lost from here

30. ## Algebra

find the sum of the infinite geometric series 1/3+1/9+1/27 sum=a_1/1-r

31. ## Algebra

The following problem refers to a geometric sequence. If a_1=-2 and r=-1. Find a_20. a_n=a_1*r^(n-1) a_20=-2*-1^(20-1) I am stuck now please help me.

32. ## Algebra

Solve for a if the line through the two given points has the given slope. (4,a) and (-2,-2a), m=-1

33. ## Algebra

Amtrak's annual passenger revenue for the years 1985-1995 is modeled approximately by the formula R=-60|x-11|+962 where R is the annual revenue in millions of dollars and x is the number of years after 1980. In what year was the passenger revenue \$722

34. ## Geometry

The perimeter of a rectangle is 192 feet. The length of the rectangle is twice the width. Find the length and width of the rectangle.

35. ## Algebra

d=kt^2 solve for t

36. ## Math

Use the product property for radicals to simplify the following radical expressions as much as possible. Assume all variables represent positive numbers. Use sqrt(x) for √x and root(x)(y) for x√y. 3√750x^4y^7

37. ## Math

Reduce the rational expression to lowest terms. If it is already in lowest terms, enter the expression in the answer box. Also, specify any restrictions on the variable. 6a^4+162a/3a^4−9a^3+27a^2 6a^4+162a/3a^4-9a^3+27a^2 6a^3*a+6*27a/3a^4-9a^3+27a^2

38. ## Math

The total cost (in dollars) for a company to manufacture and sell x items per week is C(x)=70x+400. If the revenue brought in by selling all x items is R(x)=90x−0.05x^2, find the weekly profit. How much profit will be made by producing and selling 60

39. ## Math

Susan invests 3 times as much money at 7% as she does at 4%. If her total interest after 1 year is \$1250, how much does she have invested at each rate?

40. ## Statistics

A coin is tossed 10 times. The probability of getting a head on any one toss is 0.5. To the nearest thousandth, find the probability of getting 4 heads.

41. ## Statistics

A coin is tossed 8 times. The probability of getting a head on any one toss is 0.5. To the nearest thousandth, find the probability of getting 4 heads.

42. ## Math

Suppose A and B are events with P (A)=0.25, P(A or B)=0.5, and P (A and B )=0.07. Find each of the following. a. P(B)=0.07/0.25=.28 b. P (not B)= Please help me I need the steps to solve the question

43. ## Statistics

A baseball coach has a team of 22 players .In how many ways can be select a lineup of 9 players to start the game. ( order matters)

44. ## Algebra

The following problem refers to an arithmetic sequence. If a_1=4 and d=1 Find a_n and a_35.

45. ## Algebra

4 ∑ i=1(x−1i)= (x-1(1) +(x-1(2)+(x-1(3)+(x-1(4) I am struck I need some help. Did I expand the problem right?

46. ## Math

In December 2010, the average price of regular unleaded gasoline excluding taxes in the United States was \$3.06 per gallon, according to the Energy Information Administration. Assume that the standard deviation price per gallon is \$0.06 per gallon to

47. ## College Algebra

Suppose an investment account is opened with an intial deposit of \$12,000 earning 9.6% interest. Round all answers to the nearest dollar. a. How much will the account be worth after 20 years if it is compounded monthly? \$ b. How much will the account be

48. ## Math

Graph the solution set for the linear inequalities. y

49. ## Math

Graph the solution set for the linear inequalities. 2. x+yâ‰¤4 2xâˆ’yâ‰¥2 3. y

50. ## College Algebra

Solve the system. 1/4x+1/3y+1/2z=-7/12 1/3x+2/3y+1/4z=-17/3 1/2x-1/3y+2/3z=19/6

51. ## Math

Paul mixes nuts worth \$1.20 per pound with oats worth \$1.70 per pound to get 40 pounds of trail mix worth \$1.35 per pound. How many pounds of nuts and how many pounds of oats did he use?

52. ## Algebra

A total of 900 tickets were sold for a game for a total of \$1,775.00. If adult tickets sold for \$2.50 and children's tickets sold for \$1.50, how many of each kind of tickets were sold?

53. ## College Algebra

A chicken farm ideally produces 300,000 eggs per day, but this total can vary by as much as 12,500 eggs per day. What is the maximum and minimum expected production at the farm?

54. ## Algebra

The height of an launched from the ground after t seconds is given by h(t)=-16t^2+32t. How long for the object to obtain a height of 32ft. Hit the ground?

55. ## Math

Suppose you deposit \$2000 in an account with an annual interest rate of 7% compounded quarterly. Use the formula A=P(1+r/n)^n*t and round each answer to 2 decimal places, if necessary. a. Find an equation that gives the amount of money in the account after

56. ## Math

Simplify the expression. Do not assume the variables represent positive numbers. √64a^2

57. ## Math

The volume of a gas is inversely proportional to the pressure. If a pressure of 30 pounds per square inch corresponds to a volume of 48 cubic feet, what pressure is needed to produce a volume of 60 cubic feet?

58. ## Statistics

z varies jointly with y and the square of x. If z=256 when y=−8 and x=−4, find z when x=−3 and y=−4.

59. ## Math

z varies jointly with y and the square of x. If z=256 when y=-8 and x=-4, find z when x=-3 and y=-4.

60. ## algebra

y varies directly with the square x. If y=8 when x=2, find y when x=3.

61. ## Math

divide using the long division method. 6x^3-57x-13/3x+9

63. ## Math

Suppose a deposit of \$3,500 in a savings account that paid an annual interest rate r (compounded yearly) is worth \$3,910 after 2 years. Using the formula A=P(1+r)^t, we have 3,910=3,500(1+r) ^2Solve for r to find the annual interest rate (to the nearest

64. ## Math

Solve the follwing Equation (3)/(x+2)+(6)/(x^2+2x)=(3-x)/x I got no solution.

65. ## Math

simplify the following, leaving your final in lowest terms (x)/(x+2)+(5-x)/(x)-(4)/(x^2+2x) I got my answer as 3/x is that right?

66. ## Math

please show the steps so I can compare mine. Simplify the following , leaving your final answer in lowest terms. x/x+2+5-x/x-4/x^2+2x I got for my answer 3/x. Is it correct?

67. ## Math

6x+18/3x^2divide by x^2+5x+6/x^3-4x= I got 2(x-2)/x as my final answer. Please explain the steps. Thanks.

68. ## Math

Reduce the rational expression to lowest terms. If it is already in lowest terms, enter the expression in the answer box. Also, specify any restrictions on the variable. 6a^4+162a/3a^4-9a^3+27a^2

69. ## Math

Combine the following rational expressions 1/2y-5-30/8y^3-125 Lcm:(2y-5)(4y^2+10y+125) =1*4y^2+10y+25/(2y-5)(4y^2+10y+25)-30/(2y-5)(4y^2+10y+25) =4y^2-10y+25-30/(2y-5)(4y^2+10y+25) =(4y^2+10y-5)/(2y-5)(4y^2+10y+25) Please correct my answer and I know it is

70. ## Math

combine the following rational expressions (2x+2)/(3x^2+6x+3)+x-7/3x^2-3

71. ## Math

Factor 9. 6a^4-11a^2-10 10. 2x^2(x-1)+3x(x-1)-2(x-1)

72. ## Math

Factor the following by taking out the greatest common factor. 9a^3b^2+81a^2b^3+108a^3b^3

73. ## Math

Find the third term of (2n+3m)^5 720n^3m^2 I received as my answer.

74. ## Math

From a group of 10 players a team 4 will be chosen for a dodgeball team. How many different teams are possible. 10 nCr 4 =210 but how can I work it out.

75. ## Math

Find the third term of (2n+3m)^5

76. ## Math

Use the Binomial Theorem to write the first three terms of the binomial. (4n−3m)^7

77. ## Math

Use the Binomial Theorem to write the first three terms of the binomial. (x+2y)^10

78. ## Math

Use the the Binomial Theorem to expand the binomial. (3a+4x)^3

79. ## Math

Multiply the following using the FoIL method. (5x-2/5) (5x+1/5) I got 25x^2-3x+2/25

80. ## Math

Find the equilibrium price and quantity for the supply and demand equations. d(p)=11,400−8p s(p)=2p The equilibrium price is at \$ ___________ and at a quantity of_____ units. 0 25 0 0

81. ## Math

Find the equilibrium price and quantity for the supply and demand equations. d(p)=11,400−8p s(p)=2p The equilibrium price is at \$ ___________ and at a quantity of_____ units.

82. ## Math

Find the break-even point for the following. Draw your own graph on a piece of paper. Fixed cost = \$20,000 Variables cost = \$13 per item Price = \$23

83. ## Math

Graph the solution set for the of linear inequalities. x−y≤3 x+3y≤3 x≥−2

84. ## Math

Graph the solution set for the of linear inequalities. x−y≤4 x+3y≤4 x≥−5

85. ## math

A manufacturing company finds that they can sell 300 items at \$3.50 per item and 500 items at \$1.50 per item . If the relationship between the number of items sold x and the price per item p is a linear one : Find a formula that gives x in terms of

86. ## Math

an airplane flying with the wind can cover 660 miles in 2 hours. The return trip against the wind takes 2 1/2 hours.

87. ## Math

It takes a boat 2 hours to travel 26 miles downstream and 4 hours to travel 28 miles upstream.

88. ## Math

The sum of three numbers is 16. Two times the smallest is 2 less than the largest, while the sum of the largest and smallest is 11. Use a linear system in three variables to find the three numbers.

89. ## Math

one number is 3 more than 3 times another. The sum of the numbers is 11. Find the two numbers.

90. ## Math

this a system of equations A merchant decides to mix peanuts worth 5.25 per pound and trail mix worth 2.75 a pound to make a 10 pound mixture worth 4.75 per pound. how many pounds of each should his mixture contain? please help me.

91. ## algebra

solve the system of linear equations by graphing y=3/5x y=-1/5x-4 I need helping it.

92. ## algebra

help me please I do understand I got the wrong answer: Solve the following system of linear equations by graphing 4x-2y=8 and x-y=0 1. 4x-2y=8 -2y/-2=4x/-2+8/-2 y=-2x/1-4 (0,-4) 2. x-y=0 -y/-1=x/-1+0/-1 y=1/-1+0 (0,0)

93. ## Statistics

A box contains twelve candies, five reds, four greens, and three blues. You select one piece at random, then replace it, then you select another. If P(BG) is the probability of selecting a blue first and a green second, find the following probabilities. a.

94. ## Statistics

You draw a card from a deck of 52 cards twice, each time replacing the card. Find the following probabilities (rounded to the nearest thousandths) of observing: a.) exactly 1 black card. P(1 black card)= b.) exactly 1 club. P(1 club)= c.) exactly 1 two.

95. ## Statistics

A bag contains 5 blue candies and 6 green candies. You randomly pick a piece of candy from the bag, observe the color, then put it back in the bag. You repeat this process 5 times. Find the following probabilities (rounded to the nearest thousandths): a.)

96. ## Statistics

A box contains twelve candies, five reds, four greens, and three blues. You select one piece at random, then replace it, then you select another. If P(BG) is the probability of selecting a blue first and a green second, find the following probabilities. a.

97. ## Math : Statistics

A box contains seven candies, four of which are green, and three of which are blue. You select one piece at random, then without replacing the first one, you select another. If P(BG) is the probability of selecting a blue first and a green second, find the

98. ## Math

Imagine the following scenario to solve the probability problem. Suppose A and B are independent events with P(A)=1/5 and P(B)=1/6 . Find each of the following. a.) P(A and B)=1/30 b.) P(A or B)= c.) P(not A)= d.) P(not(A and B))= I am confused...Please

99. ## Math

You draw a marble from a jar containing 5 red marbles, 5 green marbles, and 6 blue marbles. Find the probability of drawing a green given that you did not draw a red. P(green | not red)