Math Questions

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

44% adults favor the use of unmanned drones by police agencies. Twelve U.S. adults are randomly selected. Find the probability that the number of U.S. adults who favor the use of unmanned drones by police agencies is (a) exactly three, (b) a least four, (c) less than eight. (a) P(3)= (Round to three decimal places as needed.) (b) P(x24)= (Round to three decimal places as needed.) (c) P(x<8)= (Round to three decimal places as needed.)

Which of the following statements best summarizes the Side-Splitter Theorem? If a line is perpendicular to one side of a triangle and intersects the two other sides, the line divides the two sides of the triangle proportionally. If a line is parallel to one side of a triangle and intersects the two other sides, the line will always form a right angle. If a line is parallel to one side of a triangle and intersects the two other sides, the line divides the two sides of the triangle proportionally. If a line is congruent to one side of a triangle and intersects the two other sides, the line divides the two sides of the triangle proportionally.

Two similar solids have surface areas of 112 in2 and 175 in2. If the smaller solid has a side length of 20 inches, how long is the corresponding side in the larger solid (in inches)?

Sheena claims that all quadrilaterals are rectangles. Which of the statements below disproves Sheena's claim? Quadrilaterals have four sides. Quadrilaterals are polygons. A square is a quadrilateral. A trapezoid is a quadrilateral.

In the example of rats playing musical chairs, how would the probability of a certain rat being in a certain chair change in the case of five rats and four chairs, compared to five rats and five chairs? A fifth chair or no chair makes no difference for calculating the probability. The probabilities are only different if there is only one chair. The probability would become greater; there are fewer chairs. The probability would become less; there are fewer chairs.

Mr. Cook gave a history quiz last week. The scores from his class are shown below. 78, 82, 91, 75, 76, 86, 90, 88, 70, 72 A student was absent on the day of the quiz and scored a 50 on the make-up quiz. What is the approximate difference in the class' mean score before and after the make-up quiz? A 3 points B. 4 points c. 5 points D. 6 noints

Among a group of twenty students, eight have been to Mexico and six have been to Canada. Three students have been to both countries. What is the probability that a student from this group went to Mexico or Canada? 11/20 17/20 14/20 8/20

In a survey of women in a certain country (ages 20-29), the mean height was 65.4 inches with a standard deviation of 2.77 inches. Answer the following questions about the specified normal distribution. (a) What height represents the 95th percentile? (b) What height represents the first quartile? (a) The height that represents the 95th percentile is inches. (Round to two decimal places as needed.) (b) The height that represents the first quartile is inches. (Round to two decimal places as needed.)

Write the quadratic function in the form g(x)= a (x −h)² + k. Then, give the vertex of its graph. g(x)=x² + 4x +3

When the Dragons have lost their most recent game, 200 fans buy tickets. For each consecutive win the Dragons have, the number of tickets fans buy increases by a factor of 1.1.Write a function that gives the number of tickets fans buy to Dragons games after the Dragons have had consecutive wins.

Max sleeps in 4 out of 5 days in a week. If he wakes up late, the probability that he's late for school is 9/10. If he doesn't wake up late, the probability he's late for school Is 3/10. What percent of days does he get to school on time? 11/50 13/50 22/50 7/10

Two transformations of quadrilateral PQRS are described below. • First transformation: (x,y) → (x+1, y-2) • Second transformation: (x+1, y-2) → (x+1, 2-y) Which transformations were used on quadrilateral PQRS? O a reflection over y-axis, then a translation O a translation, then a reflection over x-axis O a translation, then a reflection over y-axis O a reflection over x-axis, then a translation

Find all real solutions of the equation (9x + 2)² = 36. Write your answers as a list of integers or reduced fractions in the form A/B. For example, if your answers are 2/3 and 5, you would enter 2/3,5

Graph the following system. Use the line tool to graph both lines then use the point tool to plot the point of intersection. Write the point of intersection as an (x, y) ordered pair. If there is no solution or infinite solutions, leave the answerbox blank. y = 2x + 2 y= - 3x + 7

A population of fish grows exponentially by 8% each year. If the starting population is 100, what will be the size of the population in 5 years? How long will it take the population to reach 1000 fish?

Consider these statements. • All squares are equiangular. • Some rhombuses are squares. Which conclusion can be made using both statements? Some rhombuses are rectangles. A rhombus is always equiangular. All rhombuses are squares. Some rhombuses are equiangular.

A spinner has eight equal-sized sections labeled A, B, C, D, E, F, G, and H. What is the number of possible outcomes if you spin the spinner three times and the first spin is a vowel? 8 24 128 512

A box has four cards numbered 1, 2, 3, and 4 Rafael will toss a coin once and record the toss as heads (H) or tails (T). Then he will randomly pick a card from the box and record the number chosen. Give the sample space describing all possible outcomes. Then give all of the outcomes for the event that the number chosen is 3.

What was President Eisenhower's position on the Vietnam Conflict? He worked to keep the US neutral. He believed the only way to get out of the conflict was to win; so he ordered increased military action He believed the US had to maintain peaceful relations in the Indochina Region. He believed we had to get involved because if one nation fell to communism, we would lose the whole reg

A chemist has three different acid solutions. The first acid solution contains 25 % acid, the second contains 40% and the third contains 60 %. They want to use all three solutions to obtain a mixture of 96 liters containing 50 % acid, using 3 times as much of the 60 % solution as the 40 % solution. How many liters of each solution should be used?

In an online poll, 197 people voted for Coach as the best job at the Super Bowl. The job of Announcer received 205 more votes than the Coach. Write and solve an equation to find how many votes the job of Announcer received.

Find all real solutions of equation 4x² + 5x - 4 = 0. Does the equation have real solutions? Input Yes or No: If your answer is Yes, input the solutions:

Given the function g(x) = 6x³ +54x² + 90x, find the first derivative, g'(x). g'(x) = Notice that g'(x) 0 when a = 5, that is, g'(-5) = 0. Now, we want to know whether there is a local minimum or local maximum at x = -5, so we will use the second derivative test. Find the second derivative, g''(x). g''(x) = Evaluate g''(-5). g''(-5) = Based on the sign of this number, does this mean the graph of g(x) is concave up or concave down at x = -5? At x = -5 the graph of g(x) is Based on the concavity of g(x) at x =-5, does this mean that there is a local minimum or local maximum at x = -5? At x = - 5 there is a local

There are 25 students in your class. Your teacher wants to choose a group of 5. In how many ways can she form a group of 5 students? 5 25 53,130 6,375,600

Miss Crawford wants to buy a new car. She is considering elther a hybrid or an electric car. She can choose a standard or a luxury model. There are red, silver, black, and white colors available to choose from. How many possible cholces does Miss Crawford have If she chooses one Item from each group? 4 8 16 24

Samantha has some dimes and quarters. She has 7 more dimes than quarters and the collection of coins is worth $10.15. How many dimes and quarters does Samantha have? Write an equation(s) to represent the situation and then solve. Be sure to define your variable(s) and clearly answer the question.