General Mathematics

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In determining the distance to a cloud, a meteorologist in a TV station uses radar and notes that a time of 0.2 ms elapses between the sending and return of a radar pulse. How far away is the cloud?
How many significant figures are in the numbers 99.0 and 100.0?
The following conversion equivalents are given: 1 m = 100 cm 1 in = 2.54 cm 1 ft = 12 in A bin has a volume of 1.5 m^3. The volume of the bin, in ft^3, is closest to: A) 35 B) 41 C) 47 D) 53 E) 59
The following conversion equivalents are given: 1 mile = 5,280 ft 1 ft = 12 in 1 m = 39.37 in 1 hour = 60 min 1 min = 60 s A particle has a velocity of 4.7 miles per hour. The velocity, in m/...
Identify the coordinates of the vertex and any x- or y-intercepts of the graph of f(x) = 2x^2 - 4x + 3.
Find the equation of the line passing through (-2,5) and (-6,14). Write your answer in slope-intercept form.
What is the equation of the line passing through (5,-1) and (9,-2). Write your answer in slope intercept form.
Suppose 1.5 cubic meter of oil is spilled into the ocean. Find the area of the resulting slick, assuming that it is one molecule thick, and that each molecule occupies a cube 0.50 mu m on a side.
Divide 42 by 3 \frac{1}{3}.
What is the slope in the equation y = -6x + 4?
The speed of light is 3\times{10^{8}}m/s. What is its speed in miles/while? (A mile is 1.609 km. A while is 16.2 minutes.)
Assume that Hydrogen comprises 78% of the Sun's mass. How much mass is this?
What is the slope formula in determining a line that has a slope of 2 and has a y-intercept of 3?
What is the perimeter of a triangle with the verticals located at (1,4), (2,7), and (0,5) rounded to the nearest hundredth? A: 6.81 units B: 6.48 units C: 5.40 units D: 7.40 units
98 cities were surveyed ti determine sports teams. 26 had baseball, 25 had football, 20 had volleyball, 15 had baseball and football, 12 had baseball and volleyball, 13 had football and volleyball....
Solve for x. 2x^2 - 1 = 4x - 1
79% of 67 miles is what?
Francoise received a raise of 4% of her present salary. If her new salary is $35,980, what is her present salary?
Write an equation in point-slope form for the line that has a slope of 9/8 and contains the point (9,-5). (a) y + 5 = 9/8(x - 9) (b) x - 9 = 9/8(y + 5) (c) y -5 = 9/8(x + 9) (d) y + 9 = 9/8(x - 5)
Convert 1.40 miles into kilometers.
Find the distance between the two points (1,4) and (4,0).
To start an avalanche on a mountain slope, an artillery shell is fired with an initial velocity of 350 m/s at 45.0 degrees above the horizontal. It explodes on the mountainside 39.0 s after firing....
Suppose that a particular artillery piece has a range of R = 5750 yards. Find its range in miles. Use the facts that 1 mile = 5280 feet and 3 feet = 1 yard.
The wavelength of the yellow-orange light from sodium-vapor streetlights is 589 nm. What is its wavelength in units of mm?
Factor the given expression: 3x^2-1x-10
Solve the given equation: 7(x + 1) - (5x + 9) = -14
Factor the following expression: 9x^2-7x-2
For which values of n are these graphs bipartite? (a) K_n (b) C_n (c) W_n (d) Q_n
Three dice are rolled. What is the probability that the numbers shown will all be different?
Given that P(A) = 0.35 and P(B) = 0.75. Which of the following statements is always true? a) A and B are independent. b) A and B are mutually exclusive. c) A and B are not mutually exclusive. d) A...
If P(A) = 0.60, P(B) = 0.50, P(A and B) = 0.21, then P(A and not B) = (a) 0.39 (b) 0.11 (c) 0.29 (d) 0.50 (e) 0.21
Election returns are broadcast in a town of 1 million people, and the number of people who have heard the news within t hours is 1,000,000(1 - e^{-0.6t}). How long will it take for 900,000 people t...
Use a proof by contradiction to show that there is no rational number r for which r^3 + r +1 = 0.
Exactly how many multiplications and additions are used to evaluate a polynomial of degree n at x = c?
From the cubics p^3 to the fourth-degree polynomials p^4, what matrix represents multiplication by 2 + 3t?
A bin contains 10 batteries which 4 are defective. If you select 2 at random,without replacement, determine the probability that, a) None of the batteries are good b) At least one battery is g...
Suppose that you live in a city where the most popular car colors are as follows in terms of probabilities. Color White Black Silver Gray Red Beige Blue Yellow Probability 0.25...
300 accountants work at a local accounting firm. 32 % of the accountants are female. 15 % are female and hold a CPA license. 180 accountants at this firm do not hold their CPA license. How many acc...
Solve the following equations: a. 2x^2+4x-1=0 b. 3a^2-8a+1=0 c. 7a^2+3a-7=0 d. -c=-8c^2+1
Carry out the multiplication \frac{7}{2} \cdot \frac{9}{4}
For a fraction to work (whole numbers), do we always assume that all of the pieces are of equal size? For example, if we divide a pizza into 4 equal parts. One of the parts/slices is eaten by Tom....
What pattern would appear in a graph of the equation Y = 4X - 1? a. A line that slopes steeply up to the right. b. A line that slopes steeply down to the right. c. A line that slopes gradually up...
In the general linear equation, Y = bX + a, what is the value of a called? a. the slope b. the Y-intercept c. the X-intercept d. the beta factor
Simplify \sqrt [3]{486 x^3}
An experiment consists of selecting a card at random from a 52 cards deck. Refer to this experiment and find the probability of the event. What is the probability that: (a) A red face card is dra...
In the field of political science, when might you want to know the mean differences between two or more groups? Describe the situation, including how and why it would be use of Multiple Sample Hypo...
A card is drawn randomly from a standard 52 cards deck. Find the probability of the given event. (a) The card drawn is not a face card. The probability is ________. (b) The card drawn is 9. The...
In a certain year, the U.S. Senate was made up of 53 Democrats, 45 Republicans, and 2 Independents who caucus with the Democrats. In a survey of the U.S. Senate conducted at that time, every senato...
Explain how to solve the following problems: a. \frac{10}{9} - \frac{1}{3} b. \frac{23}{24} - \frac{1}{3} c. \frac{1}{12} + \frac{3}{4} d. \frac{5}{6} + \frac{11}{12}
I'm trying to understand how to add and subtract fractions with different denominators. I know, to figure out the denominator, you will use the larger number. I'm just confused with what you do wit...
Suppose that 38% of people own dogs. If you pick two people at random, what is the probability that they both own a dog? Give your answer as a decimal rounded to four places.
Suppose that 50% of people own dogs. If you pick two people at random, what is the probability that they both own a dog? Give your answer as a decimal rounded to four places.
In Amsterdam and Breukelen, 45 and 87 students took the Final Exam respectively and 9 and 16 of them have to do the Retake Exam respectively. Is the probability to have to do the Retake Exam indepe...
A deck of 52 cards are thoroughly shuffled and distributed randomly to four players so that each player receives 13 cards. Find the probability that two of the players each receives two aces.
The average price of a textbook at a local college is $98.50 with a standard deviation of $11. What is the probability that a student will pay, on a randomly selected book, more than $92 (Assume t...
How can the union and intersection of n sets that all are subsets of the universal set U be found using bit strings?
What is the sum of the entries in a row of the incidence matrix for an undirected graph?
If J and K are independent events and P(J | K) = 0.74, find P(J).
In 2017, the house of representatives financial services committee had 60 members, of which nine were women. If eight members are selected at random, find the probability that the group of eight wo...
A and B are independent events. Use the following probabilities to answer the question. Round to 4 decimal places. If P(A) = 0.68, P(A and B) = 0.13, find P(B).