Math Questions

The length of a rectangle is 4 inches more than its width, and its perimeter is 34 inches. Find the length and width of the rectangle. Find the width of the rectangle. 7.5 in 6.5 in 6 in

The mean height of women in a country (ages 20-29) is 63.9 inches. A random sample of 75 women in this age group is selected. What is the probability that the mean height for the sample is greater than 64 inches? Assume σ = 2.69. The probability that the mean height for the sample is greater than 64 inches is.

Identify the study as observational or experimental. One group of subjects was given an herbal supplement for one year, another group was given a placebo. After one year, the number of illnesses each group had was compared.

In a hydraulic system, an input piston has an area of 22.0 in² and an output piston with an area 70.6 in². A weight or resistance of 150 pounds is on the output piston. What is the pressure? 2.12 psi 5,261 psi 792.3 psi 1,445 psi

Directions - Convert the following equation to Standard Form. Make sure the leading coefficient is positive, and all integers are whole numbers. 2y = -3x+5 Standard Form:

On a second class lever, a 12 lb input force (effort force) is 30 inches from the fulcrum. Where should a 34 lb load (resistance force) be placed so it can be lifted? 5.00 in 27.4 in 10.6 in 83.9 in

Is there a correlation between the salary of a teacher and their shoe size? no correlation correlation correlation that implies causation

Rosa invests $3300 in an account with an APR of 3% and annual compounding. Julian invests $2800 in an account with an APR of 4% and annual compounding. Complete parts a through c. a. Compute the balance in each account after 5 and 20 years. After 5 years Rosa will have a balance of approximately $___After 20 years Rosa will have a balance of approximately $. (Round to the nearest cent as needed.)

Classify the following: The number letters in a city and the population of the city. Correlation only No correlation Correlation that implies causation

...... is a sample used by chance methods in statistics. Every member of the population has the same chance of being selected. control biased random independent

f(x)=x²-16x +60 (Type an ordered pair, using integers or fractions.) (b) Find an equation for the axis of symmetry. x=8 (Type an equation. Use integers or fractions for any numbers in the equation.) (c) Determine whether the parabola has a maximum or a minimum and find its value. Select the correct choice below and fill in the answer box within your choice. (Type an integer or a fraction.) A. The parabola opens upward and has a minimum value of B. The parabola opens downward and has a maximum value of

Use the sequence to answer the following. 0, 2, 4, 6,....... The sequence shown is___and uses a common___which is___ The next three (3) terms would be___,____, and___ Use the sequence to find the following. a(1) = a(15) =

A hydraulic system contains one small piston with a area of 2 square inches and one large piston with an area of 10 square inches. If a force of 70 pounds is applied to the small piston, what will the system pressure be? 700 psi 74.1 psi 35 psi 4.82 psi

Factor the perfect square trinomial: x² - 34x + 289 (x-17) (x + 17) (x-34)² (x-17)² (x + 17)²

A superintendent of schools decided to look at the GPA of the two high schools in his district to decide which one should receive more funding. High School A's GPA was approximately 5% higher than High School B's. What type of statistical study did the superintendent use? None of the answer choices Survey Observational Study Experimental

Part A Would kind of line would you use to graph the linear inequality: y ≤2x-4 Part B Where would you shade the solutions to the linear inequality: y ≤ 2x - 4

Factor: f(x) = x² - 4x - 12 (x-6)(x+2) (x-3)(x + 4) (x-4)(x + 3) (x-2)(x+6)

Going against the current, a boat takes 6 hours to make a 120-mile trip. When the boat travels with the current on the return trip, it takes 5 hours. If x= the rate of the boat in still water and y= the rate of the current, which of the following systems could be used to solve the problem? 6(x-yl=120 and 5(x-y)=120 6(x+y)-120 and 5(x-y)=120 6x-5y=120 and x-y=120

Construct the confidence interval for the population mean μ. c= 0.98, x̄ = 5.1, σ=0.9, and n=46

The function below shows the cost to attend the fair if you ride r rides. f(r)= 5+1.75r. What is the slope, and what does it mean in the context of this problem? The slope is 1.75 and it is the cost to attend the fair without riding any rides. The slope is 5 and it is the cost to attend the fair without riding any rides. The slope is 1.75 and it is the cost per ride. The slope is 5 and it is the cost per ride.

Identify the study as observational, experimental, survey or neither. An entrepreneur stands on a street corner of New York city and counts the number of people of with dogs that walks by. He used this data to decide if he wants to put in a pet store of the street none of the answer choices observational survey experimental

Find the 9th term of the given geometric sequence: 1, 3, 9, 27.... A) 6561 B) 271 C) 19683 D 243

On a second class lever, a 80 lb input force (effort force) is 42 inches from the fulcrum. Where should a 300 lb load (resistance force) be placed so it can be lifted? 221 in 17.3 in 11.2 in 8.00 in

Find the inverse function for the following: f(x) =2+3x/5x and use your result to show that f(f-¹(x)) = x. (HINT: f(f-¹(x)) is just function notation.... you are being asked to replace the x's in f(x) with f-¹(x)).

Find the inverse function for the following: f(x) =2+3x /5x and use your result to show that f(f-¹(x)) = x. (HINT: f(f-¹(x)) is just function notation....you are being asked to replace the x's in f(x) with f-¹(x)).

On a first class lever, a weight of 62 lb is 1.5 feet feet from the fulcrum. How far from the fulcrum should an effort or input force of 10.1 lb be located? 13.4 feet 29.5 feet 4.60 feet 9.21 feet

One way people have tried to stop smoking is switch to electronic cigarettes. A group of 50 smokers were randomly chosen. 25 continued to smoke cigarettes and 25 were given electronic cigarettes to smoke. The white blood cell count was taken before and after 20 minutes of smoking for each group and compared. What type of statistical survey is this? experimental none of the answer choices survey observational

What is the explicit rule for the geometric sequence 3, 12, 48,...? A) f(n)= 9n-1 B) f(n) = 4(3)n-1 c) f(n) = 3(4)n-1 D) f(n) = 4n-1 +3

The following system of equations is y=-1/3x+2/3 2x+6y=4 independent inconsistent equivalent

Given f(2)= 12, which of the following could be an equation of the function? A. f(x) = 8x-2 B. f(x) = 4x + 4 C. f(x) = 6x-4 D. f(x) = -4x - 4 Please select the best answer from the choices provided A B C D

What is the result of adding the system of equations? 2x + y = 4 3x-y=6 x=10 x=2 5x=10

Given the matrix A, determine the matrix represented by 2A. A= -5 -2 -7 8

Find the measure of the third angle of a triangle if the measures of the other two angles are given. 102.9 and 40.4 A. 43.2 B. 56.7 C. 46.7 D. 36.7

Rewrite the equation y =-2x² + 20x + 31 in graphing form by completing the square. y=-2 (x - 5)² - 19 y=-2 (x - 5)² +81 y=2(x + 5)² – 19 y = -2(x + 5)² +56 None of the other answers

Cameron is forming a password containing 3 characters. He has decided that the first character will be a capital letter and the last character will be a digit. All other characters will be lower case letters. How many unique passwords could Cameron form? A 39 B 780 C 4056000 D 6760

The logistic growth function f(t) = 103,000/1+4500 e^-t describes the number of people, f(t), who have become ill with influenza t weeks after its initial outbreak in a particular community. a. How many people became ill with the flu when the epidemic began? b. How many people were ill by the end of the fourth week? c. What is the limiting size of the population that becomes ill?

Point A lies outside of plane P, how many lines can be drawn parallel to plane P that pass through point A? A. 2 B. an Infinite number C. 1 D. O

Directions - Write an equation in Slope-Intercept Form (y = mx + b) for the line with the given slope (m) and y-intercept (b). m = 4,b=-3

If the word PERMUTE is permuted in all possible ways and the different resulting words are written down in alphabetical order (also known as dictionary order), irrespective of whether the word has meaning or not, then the 720th word would be: (A) EEMPRTU (B) EUTRPME (C) UTRPMEE (D) MEETPUR.

Find the union of the following sets. 2.3.5,12)U(3,12,15} Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A (2,3,5,12)U(3.12.15)= (Use a comma to separate answers as needed.) B. 2,3,5,12)U(3,12,15)=0

An artifact originally had 16 grams of carbon-14 present. The decay model A = 16 e ^-0.000121t describes the amount of carbon-14 present after t years. Use the model to determine how many grams of carbon-14 will be present in 6311 years. The amount of carbon-14 present in 6311 years will be approximately grams. (Round to the nearest whole number.)

What types of concurrent constructions are needed to find the orthocenter of a triangle? A. Intersection of the lines drawn to the midpoint of each side of the triangle to its opposite vertex B. Intersection of the lines drawn to bisect each vertex of the triangle C. Intersection of the lines drawn from each vertex of the triangle and perpendicular to its opposite side D. Intersection of the lines drawn perpendicular to each side of the triangle through its midpoint

The mathematics department of a college has 8 male professors, 12 female professors, 12 male teaching assistants, and 12 female teaching assistants. If a person is selected at random from the group, find the probability that the selected person is a teaching assistant or a female.

The areas of two similar pentagons are 32 in² and 72 in². Find the ratio of larger pentagon's perimeter to the smaller pentagon's perimeter. A. 9:4 B. 25:9 C. 5:3 D. 3:2

Change the equation to graphing form: x² + y² + 8x - 4y - 5 = 0 (x-4)² + (y + 2)² = 5 None of the other answers (x+4)² + (y − 2)² = 25 (x-4)² + (y + 2)² = 25 (x+4)² + (y− 2)² = 5

The logistic growth function f(t)=111,000/1+5000 e-t describes the number of people, f(t), who have become ill with influenza t weeks after its initial outbreak in a particular community. a. How many people became ill with the flu when the epidemic began? b. How many people were ill by the end of the fourth week? c. What is the limiting size of the population that becomes ill?

The areas of two similar rectangles are 540 ft2 and 135 ft2. Find the similarity ratio of smaller rectangle to the larger rectangle. A. 1:2 B. 1:3 C. 1:4 D. 2:5

A certain electronics manufacturer found that the marginal cost C to produce x DVD/Blu-ray players can be found using the equation C = 0.03x² - 4x + 800. If the marginal cost were $1039, how many DVD/Blu-ray players were produced?

Calculate the amount of money you'll have at the end of the indicated time period. You invest $3000 in an account that pays simple interest of 4% for 10 years.

Jacob and Zachary go to the movie theater and purchase refreshments for their friends. Jacob spends a total of $18.25 on two bags of popcorn and three drinks. Zachary spends a total.of $27.50 for four bags of popcorn and two drinks. Write a system of equations that can be used to find the price of one bag of popcorn and the price of one drink. Using these equations, determine and state the price of a bag of popcorn and the price of a drink, to the nearest cent.