Math Questions

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

There are ten color cholces for a car. The other cholces are with or without a sunroof, with or without a spoller, and with or without leather seats. What is the probability that the next customer will select a car of any color with all of the options (a sunroof, a spoller, and leather seats)? Assume that each option is equally likely to be chosen. 1/10 1/8 5/16 5/8

All chang For the three-part question that follows, provide your answer to each part 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. Part A: State the Pythagorean Theorem. Part B: Does the set of numbers 9, 40, 41 form a Pythagorean triple? Show your work. Part C: Determine if a triangle with sides measuring 8, 10, and 14 units forms a right triangle. Show your work.

If f(x) = x5 · h(x) for some function h(x) and you know that: h(-3) = -8 h'(-3) = - 5 then f'(-3) =

Your little brother asks you to help him with his dinosaur project for school. He has narrowed his list down to 10 of his favorite dinosaurs, but he can only choose 3 of them for his project. How many ways can he choose 3 dinosaurs on his project? 3 10 720 120

Which of the following triangles is an acute triangle? a triangle with side lengths of 8, 15, 17 a triangle with side lengths of 4, 6, 7 a triangle with side lengths of 12, 14, 26 a triangle with side lengths of 8, 12, 15

Mia borrowed some money from her friend in order to help buy a new video game system. Mia agreed to pay back her friend $8 per week and originally borrowed $80. Write an equation for L, in terms of t, representing the amount Mia owes her friend after t weeks.

Juan's house has a rectangular doorway that is 8 feet high and 3 feet wide. Which measurement is closest to the length of the diagonal of the doorway? 3.3 8.5 11.0 7.4

Find the mean, median, and mode of the data, if possible. If any of these measures cannot be found or a measure does not represent the center of the data, explain why. A sample of seven admission test scores for a professional school are listed below. 10.3 11.7 11.7 What is the mean score? Select the correct choice below and fill in any answer box to complete your choice. 10.1 11.7 A. The mean score is (Round to one decimal place as needed:) B. There is no mean score. Does the mean represent the center of the data? A. The median score is 9.6 (Round to one decimal place as needed.) B. There is no median score. Does the median represent the center of the data? 9.5 A. The mean represents the center. B. The mean does not represent the center because it is not a data value. C. The mean does not represent the center because it is the largest data value. D. The mean does not represent the center because it is the smallest data value. What is the median score? Select the correct choice below and fill in any answer box to complete your choice. C A. The median represents the center. B. The median does not represent the center because it is not a data value.

A survey of 200 people included 90 females. It found that 60 people smoked, 40 of whom were male. Use the given information to complete a table: if a person is selected at random, find the probability that this person is: a) a female non-smoker b) a male given the person was a non-smoker. c) Male d) Smoker e) Smoker given that she is female f) are the events independent?

A line is parallel to the x-axis and passes through (2, 3). Which answer choice shows the line's equation and correct slope? x = 3; m = 0 y = 2; m = undefined x = 2; m = undefined y = 3; m = 0

A pair of number cubes Is rolled once. What Is the probability of rolling doubles? Assume the number cubes are fair. 1/36 1/18 1/6 1/2

Gary used landscape timbers to create a border around a garden shaped like a right triangle. The longest two timbers he used are 12 feet and 15 feet long. Which is closest to the length, in feet, of the shortest timber? 9 3 5.2 7.3

Identify the event that is a combination. A baseball manager choosing a first and second batter from nine starters. The order of placing seven books on a shelf. A person selecting four balls without replacement from a container of twenty balls. The number of four-digit passcodes with no digits repeated.

You bought seven different frults at the grocery store and are setting five of them on the kitchen counter at home. What Is the probability that the first three are orange, peach, banana? 1/210 1/420 1/630 1/1,200

A coin is flipped four times. What is the probability of getting four heads? Assume the coln is equally likely to land on a head versus a tail.

Rewrite the equation for this circle in Standard Form: x² + 4x + y² + 16y + 64 = 0 Standard Form: Center: Radius: List 4 points on the circle.

The empty gas tank of a truck needs to be completely filled. The tank is shaped like a cylinder that is 4.5 ft long with a diameter of 2.4 ft. Suppose gas is poured into the tank at a rate of 2.1 ft per minute. How many minutes does it take to fill the empty tank?

You are pulling four marbles of different colors out of a bag. What is the probability that the first one will be red and the second green? 1/12 1/4 1/8 1/24

A bird is sitting on top of a statue. From a point that is 42 feet away from the statue, the angle of elevation is measured to be 16°. Find the height of the statue. Your answer is feet. Round your answer to the nearest whole number.

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. Let x = let y =

The following information is given about a trapezoid: A trapezoid is isosceles if its non-parallel sides are congruent. Trapezoid ABCD is not isosceles. Based on the information, which statement is a valid conclusion about Trapezoid ABCD? The non-parallel sides are not congruent. The parallel bases are congruent. One base and one non-parallel side are perpendicular. The non-parallel sides are perpendicular.

A triangle has side lengths of 3 feet and 5 feet. Determine the possible lengths of the third less than 2 feet and greater than 8 feet greater than 3 feet and less than 6 feet greater than 4 feet and less than 2 feet greater than 2 feet and less than 8 feet

A physics class has 50 students. Of these, 15 students are physics majors and 16 students are female. Of the physics majors, five are female. Find the probability that a randomly selected student is female or a physics major. The probability that a randomly selected student is female or a physics major is (Round to three decimal places as needed)

The options for a dessert are chocolate, vanilla, and strawberry Ice cream, with chocolate, strawberry, and caramel toppings. What is the probability that vanilla Ice cream with strawberry topping is selected? Assume that each flavor Is equally likely to be chosen. 1/12 1/9 1/6 1/3