Math Questions

There are two administrators, eight faculty, and six staff members for a committee. If a subcommittee of four is formed, what is the probability of selecting one administrator, two faculty, and one staff member? 12/1,820 56/1,820 168/1,820 336/1,820

Which of the following statements is true about any sphere? Its cross section is in the shape of a circle. It has only two dimensions. Its surface area is measured in cubic units. It has a radius that is always a perfect square.

A school editor Is choosing three of eight seniors and two of six juniors to report on graduation. What is the number of possible ways for the school editor to choose the team of reporters? 336 450 840 1,680

A swimming pool has to be drained for maintenance. The pool is shaped like a cylinder with a diameter of 9 m and a depth of 1.5 m. Suppose water is pumped out of the pool at a rate of 13 m² per hour. If the pool starts completely full, how many hours will it take to empty the pool? Use the value 3.14 for , and round your answer to the nearest hour. Do not round any intermediate computations. hour(s)

The area of a parallelogram Is 64 m². If a diagonal divides the parallelogram into 2 triangles, what is the area of 1 of the triangles? 8 m² 32 m² 128 m² 4 m²

A city has a density of 1452 people per square mile. If the town is 3.8 square miles, how many people live in the city? Round your answer to the nearest person.

For the three-part question that follows, provide your answer to each question in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A, Part B, and Part C. A can is 12 cm tall with a radius of 8 cm. Part A: Write the formula for finding the volume of the can. Part B: Calculate the volume of the can. Part C: Show all work for Part B.

To pack for a business trip, Steve chooses four of nine dress shirts and two of three blazers. What is the possible number of ways for Steve to pack for his trip? 3 126 378 3,204

For the following system: WRITE THE TWO EQUATIONS. The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 adult citizen tickets and 1 student ticket for a total of $38. The school took in $52 on the second day by selling 3 adult tickets and 2 student tickets. Find the price of a senior citizen ticket and the price of a child ticket.

An online account provides a randomly generated PIN consisting of digits from zero to nine. The digits can be repeated. What is the probability all four digits being the same? 1/10 1/100 1/1,000 1/10,000

Sara has made this list to summarize what she learned in science class today: 1. Core 2. Radiation zone 3. Convection zone What is the best title for her list? The Layers of the Interior of the Sun The Layers of the Sun The Layers of the Atmosphere of the Sun The Main Layers of the Sun

What is the area of a rectangle with vertices located at (-1, 1), (-1,-4), (5, -4), and (5, 1)? 20 square units 12 square units 15 square units 30 square units

If the pre-Image from a dilation is smaller than the Image, what best describes the dilation's scale factor? There is not a scale factor for the dilation. The scale factor is equal to 1. The scale factor is less than 1. The scale factor is greater than 1.

What is the relationship between similar triangles and the altitude of a right triangle? Select all that apply. An altitude drawn from the right angle in a right triangle divides the triangle into two sub-triangles. Corresponding sides in right triangles are parallel. Missing sides of right triangles cannot be calculated using the properties of altitude and similar triangles. The sub-triangles are similar to the original triangle.

A normal distribution has µ = 1.45 and σ = .40. What is the interval that contains the middle 95% of the data set? 0.65 to 2.25 1.05 to 1.85 1.45 to 2.25 1.85 to 2.25

Find the center-radius form of the equation of the circle with center (-9,1) and tangent to the x-axis. (Hint: A line tangent to a circle touches it at exactly one point.) Type the center-radius form of the equation of the circle. (Type an equation. Simplify your answer.)

There are eight fiction books and seven nonfiction books on a shelf. Sara wants to bring three fiction and two nonfiction books on vacation, and she is going to read them in the order she chooses. What is the possible number of different ways for Sara to choose the books for vacation? 21 56 1,176 14,112

The probability of rain for March 13 is 0.35. What is the probability that it will on March 13 for four years in a row? 0.3500 0.1225 1.400 0.0150

In a factory that has been accident-free for a month, the employees enter a drawing to win gift cards. If the same five workers are in the drawing each month, what is the probability that Sam and Janelle win a gift card for four consecutive months? (1/10)4 (1/20)4 1/20 1/10

15. What type of edge on a 2-D figure will form a flat surface when it is rotated to form a 3-D figure? an edge perpendicular to the axis of rotation an edge that is curved and does not touch the axis of rotation an edge that is parallel to the axis of rotation an edge with a 45° angle with the axis of rotation

A movie theater has a seating capacity of 235. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults. There are half as many adults as there are children. If the total ticket sales was $ 1696, How many children, students, and adults attended? children attended. students attended. adults attended.

The population of Hilliard, Ohio, in 2013 was 31,012 people. The area of the City of Hilliard in 2013 was 13.34 square miles. Find the population density of Hilliard in 2013 rounded to the nearest person.

Which of the following is the last step in solving a linear programming problem graphically? Identify the corner points by solving systems of linear equations whose intersection represents a corner point. Test all corner points in the objective function. Graph the constraints inequalities, and shade the feasible region Write the objective function

LT 15 A city with a population of 24380 people has a density of 2245 people/square mile. Rounded to the nearest tenth, what is the area of the city in square miles.

The largest Egyptian pyramid is 146.5 m high. When Rowena stands far away from the pyramid, her line of sight to the top of the pyramid forms an angle of elevation of 20° with the ground. What is the horizontal distance between the center of the pyramid and Rowena? Round to the nearest meter.

A dolphin is jumping in the ocean and makes a leap out of the water. The dolphin leaves the water traveling at a speed of 32 ft/sec and an angle of 48° with the surface of the water. How far horizontally across the water does the dolphin travel?

Which of the following conditions do not have to be met to prove two sollids have equal volumes using Cavalieri's principle? The solids must have the same height. The solids must have cross sections with the same area at equal heights. The solids must be included between two parallel planes. The solids must have the same length.

A credit card has a four-digit pin number consisting of four different digits from 0-9. How many possible pin numbers are there? 720 5,040 151,200 1,000,000

Five years after 650 high school seniors graduated, 400 had a college degree and 310 were married. Half of the students with a college degree were married. What is the probability that a student does not have a college degree or is married? 31/65 56/65 5/13 9/13

The Robotics Club at Wickliffe High School has sixteen members of whom five are seniors, six are juniors, three are sophomores, and two are freshmen. What is the probability that three of the members selected at random are two seniors and one freshman?

The decomposition reaction of calcium carbonate (CaCO3) is seen below; the change in enthalpy of the reaction is (AH) is 178.3 kJ/mole. CaCO3 (S)-> CaO (s) + CO2 (g) The reaction would be considered - A. Endothermic, releases heat B. Exothermic, releases heat C. Endothermic, absorbs heat D. Exothermic, absorbs heat

Suppose there are two stacks of ten dimes. In the first stack, the dimes are stacked with perfect alignment. In the second stack, the dimes are stacked irregularly but still on top of each other. Which of the following statements would be true? The height of the first stack would be greater than the height of the second stack. The area of the cross sections for each stack at equal heights would be different. The first stack of dimes would be included between two parallel planes; however, the second stack would not. The volume of both stacks of dimes would be equal.

A cylinder of clay has a radius of 6 cm and a height of 12 cm. If this clay is made into congruent cones with a radius of 3 cm and a height of 8 cm, how many cones could be made with all of the clay?

There are ten teachers and sixty students in the student government of a high school and only five people are chosen to be on the committee. Which of the following shows the probability of selecting five students? 60C5/70C5 10C5/70C5 60P6/70P6 60P5/60P60

The diameter of a circle is 14 ft. Find its area to the nearest tenth. Answer: A =ft² Submit Answer

You are setting up a trophy display with eight out of twelve trophies for your school. Any trophy can fit anywhere in the display, but the principal has Instructed you to put the four first place trophles In four specific spots. What is the probability that placing the trophles at random would work? 1/32,760 1/11.880 1/35,640 1/1,320

Which statements describe the altitudes of triangles? Select all that apply. An acute triangle has altitudes inside the sides of the triangle. A right triangle only has two altitudes. The point of concurrency for a triangle's altitudes is called the orthocenter. An obtuse triangle has altitudes along the legs of the triangle.

The population of Baconburg starts off at 2,823 people and grows 13% each year. How many people would populate Baconburg after 19 years?

In a tourist bus near the base of Eiffel Tower at Paris, a passenger estimates the angle of elevation to the top of the tower to be 60°. If the height of Eiffel Tower is about 984 feet, what is the distance from the bus to the base of the tower?

25. Tasha wants to measure the height of a tree that grows at an angle of 85°with respect to the ground. When she is 80 feet away from the base of the tree she looks up. The angle from the ground to the top of the tree is 25°. Approximately, how tall is the tree? 212.989 feet 35.979 feet 84.810 feet 177.880 feet

We are ordering two out of three boxes colored red, green, and blue from left to right. What is the probability that the box on the left is green? 1/3 1/6 1/2 1/4

All changes saved Which of the following is the BEST description for the resulting three-dimensional figure if a right triangle is rotated about the line containing its hypotenuse? a cone with slant height the same length as the longest leg a pyramid with triangular base a cone with slant height the same length as the shortest leg two cones sharing the same circular base with apexes opposite each other

In a class of 40 students, 34 like bananas, 22 like pineapple, and 2 dislike both fruits. A student is randomly selected. Find the probability the student: a) Likes both fruits b) Likes at least one fruit c) Likes bananas given that he or she likes pineapples d) Dislikes pineapple given that he or she likes bananas e) Are the events independent?

Last week at the grocery store where you work, you sold 298 peaches and lost 36 because they expired. The store paid $0.45 per peach and sold each peach for $0.99. What profit did the store make on peaches last week? A. $141.56 B. $142.34 C. $142.59 D. $144.72 E. $153.65

You select four fruits at random from a pile with half grape bunches and half banana bunches. If X Is the number of grape bunches that appear, what is the mean of the probability distribution?

Your job paid you $20,000 your first year. You are now given the choice of either earning an additional $425.00 each year you work (option 1) or 2% of your current salary (option 2). Your plan is to stay with this job for 5 more years. Which option do you choose? Make sure to include units and round to the nearest hundredth. Option 1 Amount: Option 2 Amount: Which option is better? (Type Option 1 or Option 2.)

An equation for the line tangent to the graph of f(x) = 4x + 5 - 15ex at the point (0, - 10): Y =

Lee and Maya are collecting leaves for an art project. Lee collects 24/100 of the total number of leaves needed. Maya collects 4/10 of the total number of leaves needed. What fraction of the total number of leaves did they collect altogether?

A charity group has a raffle where fifty tickets are handed out. Six members of a family each receive a ticket. If there are three prizes awarded, what is the probability the family wins all prizes? 1 / 19,600 10 / 19,600 20 / 19,600 40 / 19,600

Determine whether the quadratic function shown below has a minimum or maximum, then determine the minimum or maximum value of the function. ƒ(x) = −(x+8)² – 7