Math Questions

In Europe, 88% of all households have a television. 51% of all households have a television and a VCR. What is the probability that a household has a VCR given that it has a television? Enter you answer a decimal rounded to the nearest hundredth.

Solve the triangle shown to the right. A≈ (Simplify your answer.) b≈ (Type an integer or decimal rounded to two decimal places as needed.) C (Type an integer or decimal rounded to two decimal places as needed.)

Suppose that there were a negative correlation between the variables a and b. If bis 60 when a is 8, which of these is most likely to be the value of b when a is 16? A. 75 B. 90 C. 60 D. 30

Given f(x) = 4x - 3x² and m(x) = 4 - 6x: a) Write the equation of the tangent line to f(x) when x = 0. b) Write the equation of the tangent line to f(x) when x = 2. c) At what ordered pair does f(x) have a tangent slope of 16 ?

The gas mileage for Peter's car is 21 miles per gallon when the car travels at an average speed of 50 miles per hour. The car's gas tank has 17 gallons of gas at the beginning of a trip. If Peter's car travels at an average speed of 50 miles per hour, which of the following functions fmodels the number of gallons of gas remaining in the tank thours after the trip begins?

Sonequa has two containers, one in the shape of a cylinder and the other in the shape of a cone. The two containers have equal radii and equal heights. She investigated the relationship between the volumes of the cone and the cylinder by transferring water between the two containers. Which of the following claims is most likely to be supported using the results of Sonequa's investigation? The volume of a cylinder is two times the volume of a cone when the two containers have equal radii and equal heights, because one full cylinder of water completely and exactly filled the cone two times. The volume of a cylinder is three times the volume of a cone when the two containers have equal radil and equal heights, because one full cylinder of water completely and exactly filled the cone three times. The volume of a cylinder is two times the volume of a cone when the two containers have equal radii and equal heights, because two full cylinders of water completely and exactly filled the cone one time. The volume of a cylinder is three times the volume of a cone when the two containers have equal radii and equal heights, because three full cylinders of water completely and exactly filled the cone one time.

Find the equations of both of the tangent lines to the ellipse ² + 4y² = 36 that pass through the point (12,3) List the line with the smaller slope first.

A street light is at the top of a 26 ft pole. A 5 ft tall girl walks along a straight path away from the pole with a speed of 7 ft/sec. At what rate is the tip of her shadow moving away from the light (ie away from the top of the pole) when the girl is 36 ft away from the pole? How fast is her shadow lengthening?

What is the correct step for substitution given the following system of equations? * y = 5x - 7 -3x - 2y = -12

Find all critical points of the function f(x) = x² − 2x + 4

Given f(x) =2x+6/ 4x+8 and m(x) = -1/2(x+2)² a) At what ordered pair is the tangent line horizontal? (clue: a horizontal line has a slope of zero) b) At what ordered pairs does the normal line have a slope of 32 ? c) What is the slope of the normal line when y=0?

A bag contains 4 blue marbles, 6 red marbles, and 8 green marbles. What is the probability that a marble drawn randomly is not blue?

If h is an explanatory variable and k is the corresponding response variable, which of these would be represented by the horizontal axis on a scatterplot? A. Both hand k B. h C. Neither h nor k D. k

Given the following functions: f(u) = u7/2 and g(z) = x8 +1. Find: f(g(x)) = f'(u) = f'(g(x)) = g'(x) = (ƒog)'(x) =

Unit 09 Learning Target #1: I can describe subsets of a sample space in terms of outcomes, unions, intersections, and complements. Given the following sets C={1, 4, 7, 9} D={3, 4, 5, 7, 8} Determine if the following are true or false CCD [Select] DCC [Select] Cn D=Ø [Select]

Consider the function f(x) = e, -2 ≤ ≤ 2. (a) Estimate the area under the graph of fusing four approximating rectangles and taking the sample points to be right endpoints. Include at least six decimal places in your answers (b) Repeat part (a), with midpoints as the sample points, Include at least six decimal places in your answers (c) Now estimate the area under the graph of f using eight approximating rectangles and taking the sample points to be right endpoints. Include at least six decimal places in your answers (d) Repeat part (c), with midpoints as the sample points. Include at least six decimal places in your answers

Gravel is being dumped from a conveyor belt at a rate of 20 ft³/min. It forms a pile in the shape of a right circular cone whose base diameter and height are always the same How fast is the height of the pile increasing when the pile is 21 ft high? The height is increasing at t/min

In the United States, 56% of all children get an allowance and 41% of all children get an allowance and do household chores. What is the probability that a child does household chores given that the child gets an allowance?

The interior angle of a regular polygon is 144 degrees Name the figure. Regular heptagon Regular nonagon Regular octogan Regular hexagon Regular decagon regular pentagon regular 11-gon regular dodecagon

The first quartile of a data set is 23, the median is 30, the third quartile is 33, and an outlier is 6. Which of these data values would be represented by a point in a modified box plot? A. 30 B. 6 C. 23 D. 33

A helicopter is flying at an elevation of 320 feet. It is within sight of the landing pad and the pilot finds that the angle of depression to the landing pad is 14°. Find the distance between a point on the ground directly below the helicopter and the landing pad. Round your answer to the nearest foot. Note that for this problem, we are using degrees to measure angles. Make sure your calculator is set to degrees instead of radians.

Learning Target #1: I can describe subsets of a sample space in terms of outcomes, unions, intersections, and complements. Given the following sets A-(1, 5, 7, 8) B-(1, 5, 7, 9) Find AUB [Select] Find A B [Select] Find A [Select ]

An ice cream shop's goal is to sell a mean of 45 ice cream cones per day. In one week, it sold the following numbers of ice cream cones each day. 54, 45, 33, 39, 48, 40, 21 How many more ice cream cones would it have had to sell during the week to meet its goal? A. 5 B. 35 C. 25 D. 15

Jack has a bag of marbles. There are 30 marbles in the bag. 12 red marbles, 8 blue marbles and 10 green marbles. Each red marble is worth 5 point, each blue marble is worth 3 points and each green marble is worth 2 points. What is the approximate expected value of picking a marble from the bag? Round answer to the hundredth. *

A spotlight on the ground is shining on a wall 24m away If a woman 2m tall walks from the spotlight toward the building at a speed of 0.8m/s, how fast is the length of her shadow on the building decreasing when she is 4m from the building? Answer (in meters per second)

2. (a) Use bubble sort to sort 4, 2, 6, 5, 3, 1, showing the list obtained after each pass. (b) Use insertion sort to sort 4, 2, 6, 5, 3, 1, showing the list obtained after each pass. (c)] Use the greedy algorithm to make change using quarters, dimes and pennies for 40 cents.

Which of these pieces of data about a package delivered by the post office is considered categorical data? A. Surface area B. Weight C. Volume D. Drop-off location

(A) Estimate the area under the graph of f(x)=2x³ +3 from x = -1 to x=5, first using 6 approximating rectangles and right endpoints, and then improving your estimate using 12 approximating rectangles and right endpoints 6 Rectangles = 12 Rectangles (B) Repeat part (A) using left endpoints. 6 Rectangles = 12 Rectangles = (C) Repeat part (A) using midpoints 6 Rectangles 12 Rectangles =

Multiply the expressions. x²-11x+30/x²-2x-24 * x²-16/X²-25

10/11. A plane flying at 37,000 feet starts its descent when it is 150 miles away from the airport. At what constant angle of descent does the plane approach? To the nearest 10th of a degree. Helpful hint: 5280 feet = 1 mile

The value of an explanatory variable is 10, while the corresponding value of the response variable is 5. What would be the coordinates of this data point when plotted on a scatterplot? A. (10,5) B. (5, 15) C. (5, 10) D. (15,5)

Find all solutions of this equation in the interval [0, 2π): 2 cos(x) + 1 = 0

Each of 11 pieces of paper contains a different number from (4,6,7,9,10,11,12,13,15,17,19). The pieces of paper are folded and placed in a bag. In selecting a piece of paper without looking, find the probability of selecting an odd number or a number that is at least 12. 1/8 9/11 7/11 8/11

Select ALL of the following that are Pythagorean Triples. (There may be more than one so please select all triples.) 7, 24, 25 12, 15, 19 3,4,5 6, 8, 14 11, 13, 17 4, 5, 6

If there are 8 values in a data set, in order from smallest to largest, what is the median of the data set? A. The mean of the 4th and 5th values B. The 4th value C. The mean of the 5th and 6th values D. The 5th value

19.In a standard deck of playing cards, there are 4 suits (diamonds, hearts, spades, and clubs) and 13 cards (Ace, 2, 3, ... through King) for each suit. What is the probability that a card drawn at random is either an Ace or a diamond?

3/4. Looking down from the top row of Cornuelle lecture hall, you notice that the angle of depression to the floor seems to be pretty steep, about 70 degrees. If the distance you walk up the stairs to get to the top row is 28 feet, how high above the floor is the top row? Round to the nearest 10th. Picture Equation: Answer:

The polynomial given below has___root(s). 3x²-8x+4 A. two positive B. two complex C. two negative D. one positive and one negative

(x²+x)(x²-1)/(x²-4) ( x² +8x+12) (x²+x)(x²-1)/(x²-4) ( x² +8x+12)= where x≠

Learning Target #8 - Interpret independence of events A and B using conditional probability. If P(B|A)=P(B) then events A and B are Independent Cannot Determine Dependent

Solve the triangle. b=10, c= 8, A = 50° a≈ B≈ C≈

One bag of lawn fertilizer can cover approximately 5,000 square feet. Mike's lawn is about 500 square feet. When Mike applies fertilizer to his lawn, he applies it to 3/4 of his lawn only. About how many complete times can Mike fertilize his lawn with one bag of fertilizer? a) 13 b) 10 c) 1 d) 14

At a middle school, 18% of all students play football and basketball and 32% of all students play football. What is the probability that a student plays basketball given that the student plays football?

Complete the steps to solve the equation 6x +1.6 = 58. Write the original equation. 6x= Apply the Subtraction Property of Equality. x= Apply the Division Property of Equality. (Simplify your answer.)

The expression below is a sum of cubes. 125x³ +144 A. True B. False

Let f(x)=x-7/2x+6 Find an equation for the tangent line to the graph of f at x = 3. Tangent line: y =

Which polynomial represents the difference below? 8x³ + 5x + 6-(2x^7 + 3x) A. -2x^7 +8x³+8x+6 B. 6x^10+2x+6 C. -2x^7 + 8x³ + 2x+6 D. 10x^10 + 8x² +6

Which of these pieces of data about an animal at the zoo is considered numerical data? A. Gender B. Species C. Color D. Height

Which of the following correctly completes the square for the equation below? x+18x=0 A. (x+9)² = 81 B. (x+3/2)^2 = 9 C. (x+3)² = 9 D. (x+18)² = 81

For her birthday party, Jessica's father will let her choose one style of birthday cake, 1 kind of pizza, and 1 flavor of drink. There are 5 cake styles, 7 kinds of pizza, and 4 drink flavors to choose from. How many different ways can Jessica choose these items for her party? A. 140 B. 70 C. 35 D. 20