Algebra question and answers for July 03, 2023
- Q What type of slope does this line have?X = -2A. Positive SlopeB. Negative SlopeC. o SlopeD. Undefined Slope
- Q A university polls 200 students. 80 students drink tea, 140 drink coffee, and 30 drink neither. What is the probability that you choose a random student that they drink both?
- Q You spin a spinner numbered from 1 to 4 and spin another spinner with the colors orange, violet, red, green, yellow and blue. Both spinners are divided into sections with...
- Q You take out a 50-day single-payment loan for $910 with an interest rate of 19%. Find the amount of the maturity value.
- Q Il takes Ron 12 hours to paint a house and it takes Rita 6 hours. How long should it take if they worked together?(A) 9 hours(B) 18 hours(C) None of...
- Q Suppose the number of students in a class for the Business Statistics program at a University has a mean of 23 with a standard deviation of 4.3. If 15 classes...
- Q The amount of snowfall falling in a certain mountain range is normally distributed with a mean of 94 inches, and a standard deviation of 14 inches. What is the probability...
- Q Why are unbiased estimators preferred over biased estimators?Unbiased estimators follow the normal distribution, where as biased estimators follow the original distributionUnbiased estimators require a greater sample size which gives greater...
- Q Prove the following vector identities using index notation(a) (axb) (cx d) = (a. c) (b. d) - (a.d) (b. c)(b) ax (bx c) + bx (cx a) + cx (axb)...
- Q Janet bought a used car for $9,000. She has a simple interest loan with 14% interest for 24 months. Janet decided to pay off the loan early, and has an...
- Q Given the quadratic function f(x)=-6x -2xCompute f(a+ h)-f(a)=Assuming h?0, compute f(a+ h)-f(a)/(h)=
- Q The box-and-whisker plot shown below representsthe number of magazine subscriptions sold bymembers of a club.Which statistical measures do points B, D, and Erepresent, respectively?1) minimum, median, maximum2) first quartile, median,...
- Q Given the one-to-one function f(x)=x + 4 find the following. Hint: You do not need to find the equation for f(x).a. f(-4)b. f (-60)
- Q The cost of a classified ad is determined by its length. Hammond plans to sell his car and places a 5-line ad. The newspaper charges $15 for the first two...
- Q Suppose a city with population 400,000 has been growing at a rate of 8% per year. If this rate continues, find the population of this city in 20 years. The...
- Q Solve the equation for x. Give an exact answer and a four-decimal-place approximation.log (2x-3)= -0.9The exact answer is x =
- Q Nemo's annual premium is $1,644. If he pays quarterly, there is a $2 per payment surcharge. What is his quarterly payment?A $388B $411C $413D $412
- Q Victoria is going to invest into an account that pays 9% compounded daily. How much would Victoria need to invest, to the nearest dollar, for the value to account to...
- Q Write as a single logarithm. Assume that variables represent positive numbers.2log 8(x)-1/4(log8 (x)) + 4log 8(x)
- Q A binomial experiment has 4 trials in which p = 0.75. What is the probability of 1 success?(a) 0.0469(b) 0.0639(c) 0.3945(d) 0.4394
- Q How many 4-digit numbers can be made by using digits 1 to 7 (repetition is not allowed), if the digit 4 will always be there in the number?a) 272b) 480c)...
- Q In how many ways can 3 pizza toppings be chosen from 12 available toppings?
- Q (x-6)/(x - 49) < 0. Solve the following rational inequality Give your answer using interval notation.
- Q Suppose we want to choose 2 objects, without replacement, from the 4 objects pencil, eraser, desk, and chair.(a) How many ways can this be done, if the order of the...
- Q Solve each equation for 0 ? ? < 2?.3) -3 = -3tan ?A) {0,?/4,?,5?/4} B) {?/4} C) {?/4,?,5?/4} D) {?/4,5?/4}
- Q A spinner has 10 equally sized slices numbered from 1 to 10. Some are white and some are grey, as shown below.Answer the following questions. Write each answer as a...
- Q A wooden artifact from an ancient tomb contains 50 percent of the carbon-14 that is present in living trees. How long ago, to the nearest year, was the artifact made?...
- Q Solve the logarithmic equation algebraically, Round the result to three decimal places. Verify your answer using a graphing utility. log ?x +log?(x-3)=2. X=
- Q Let the region R be the area enclosed by the function f(z) = In (z) and g(z) = 3x/4-2. Write an integral in terms of z and also an integral...
- Q Given the lines:a)L?(x, y, z)=(1,2,-2)+t1 (1,2,1)b)L?(x, y, z) =(2,1,3)+t2(1,2,3)c)L?(x, y, z)=(1,1,1) +t?(2,7,3) where t1,t2,t?Find the equation of the line which is parallel to L3 and which intersects both L? and...
- Q A given perceptron network has a weight matrix:[0.49 0.71 0.6810.45 0.75 0.660.65 0.28 0.16]and given the following training point: 1 with its desiredAssume threshold theta=0.8 and learning rate eta=0.2Apply perceptron...
- Q Solve the inequality (x - 5)(x-6) <0Select all the intervals below that are included in the solution.a) x<5b) x>5c) x<6d) 5<x<6e) x>6
- Q Computing conditional probability using a sample spaceEight balls numbered from 1 to 8 are placed in a bag. Some are white and some are grey, as shown below.Answer the following...
- Q The profit function for a firm making widgets is P(x) = 132x - x 1200. Find the number of units at which maximum profit is achieved. X = [ ]...
- Q The amount of money in an investment is modeled by the function A(t) = 800(1.0185)t.The variable A represents the investment balance in dollars, and t the number of years.What is...
- Q tanA + tanB = 1.2 , cosB -cosA - 0.7cosAcosB = 0What is A and B angle, with detailed steps?
- Q The random variables x and ? are independent and ? is uniform in the interval (-?, ?).Show that if z = x cos(w t + ?), then ...
- Q An equation of the function y(t) is shown.y (t) = ?t + 14t - 40Select all of the statements below that are true about the graph of y(t) for 6...
- Q The Venn diagram below shows the number of students in a class who read any of 3 popular magazines A, B and C. One of these students is selected at...
- Q A helicopter travels 240 miles every 2 hours, how far does it travel in 3 hours?
- Q The national average price per gallon for gasoline is normally distributed with a mean (currently) of $2.34 per gallon with a standard deviation of $0.26 per gallon. Which of the...
- Q Find the equation of a line passing through (3,4) and (1,-4).Enter your answer in the slope-intercept form (namely, type your answer exactly in the form of y = mx +...
- Q Fill in the missing values to make the equations true.(a) log? 3-log? 5 = log?_(b) log?7+log?_ = log?56(c) log?25 =log? 5
- Q Sketch the set of complex numbers such thatz(i - z) z(i + z) = 2|z|and justify your answer. Hint: Use (a).
- Q Perform the operations and simplify. Leave your answer in exponential form.3a?.2a^3/2
- Q An analyst researches the relationship between different energy sources in each state for 2014. The data in the table show the number of states that use coal as an energy...
- Q A grasshopper jumps off of a tree stump. The height, in feet, of the grasshopper above the ground after t seconds is modeled by the function shown.h(t) = -t+ (4/3)t...
- Q A scientist is studying wildlife. She estimates the population of bats in her state to be 270,000. She predicts the population to grow at an average annual rate of 2.9...
- Q An equation is showny = (1/2)x + (3/4)Select which of the given points are contained in the graph of the equation.A) (0, 1/2)B) (3/4, 1/2)C) (3/4, 0)D) (1/2, 1)E) (0,...
- Q 2. Use the Fourier transform to solve this transport equation for u = u(x, t), defined on the whole real line:2ut- 3uz =0u(x,0) =exp(-x)(You should be able to write...
- Q A photo is printed on a 20-inch by 24-inch piece of paper. The photo covers 320 square inches and has a uniform border. What is the width of the border?
- Q 1.What is the value of Log 8 32768?2.What is the value of Log the cube root of 15625?3. What is the value of Ln e^??4. Evaluate Log 16 1/8?
- Q Find the minimum or maximum value of y = -x + 4x + 4.The function has a _________ value of __________ .
- Q Which of the following functions have a range of all Real numbers?Quadratic Functions.Square Root FunctionsCube Root FunctionsPolynomial Functions with even power of nPolynomial Functions with odd power of nRational Functions
- Q Given events A and B, such that P(A) = 0.6, P(B) = 0.5, and P(A U B) = 0.8, determine whether A and B are independent or dependent.
- Q You buy two icecream cones, one for you, and one for your friend. The probability that both both icecream cones are chocolate is 10%. If you choose chocolate, the probability...
- Q Identify the graph of g(x) = 5 sin(1/4)x.
- Q Consider the end behavior of the function g(x) =4|x-2|-3As x approaches negative infinity ,g(x) approaches. . . infinityAs x approaches positive infinity, 9(x) approaches . . . infinity
- Q What is the value of x in the equation log4(x-1) = 9.(a)x=49(b)x = 65(c)x=64(d)x=81
- Q In Quadrant I, sin A = x. In Quadrant I, cos B = x. What is true about tan A and tan B?(a)Their product is always 1.(b)Their sum is always...
- Q Find all solutions to (x + 5)(2x-3) = 0. Explain or show your reasoning.
- Q the number of the cycle made by mass per unit time means c) frequency b) amplitude a) constant springa and bWhen the load and the spring constant are directly proportional,...
- Q Give the best estimate for the following value for "x", given 2^x = 12.A. Between 3 and 4B. Between -3 and 6C. Between -3 and -4D. Exactly 6
- Q Sara has a deck of ten cards that are of equal size and shape.What is the probability that Sara will draw a triangle, not replace the card, and then draw...
- Q A block of wood has the shape of a triangular prism. The bases are right triangles. Find its surface area.The surface area is ____ in..
- Q Shane and John goes to a restaurant for Lunch. If there are 20 items on the menu and Shane orders 11 items and John orders 7 items, What expression represents...
- Q A bag contains eight yellow jerseys numbered one to eight. The bag also contains ten purple jerseys numbered one to ten. You randomly pick a jersey. Fill out the following...
- Q Liliana used 4 dark power crystals to raise 14 zombie soldiers. She wants to know how many zombie soldiers (z) she can raise with 10 dark power crystals.How many zombie...
- Q About of a town's population has black hair. About 2/7 of the population has blonde hair. What is the probability that a person chosen at random from this town will...
- Q What is the value of this logarithmic expression?log? 16-log?4A). 0.60B). 2C). 6D). 3.58
- Q Given below are descriptions of two lines.Line 1: Goes through (8,-3) and (0,3)Line 2: Goes through (4,3) and (0,6)The slope of Line 1 is m =____________________The slope of Line 2...
- Q The linear function g is defined by g(x) = 4x.a. Show that g(3) and g(2) have a difference of 4.b. Show that when the input value increases from x to...
- Q Let f = (17) (264) (39) (5 8) and g = (2 946) (3 8) (57) be permutations in S9, written in cycle notation.What is the second line of f...
- Q The crime rate of a certain city is increasing by exactly 7% each year. If there were 600 crimes in the year 1990 and the crime rate remains constant each...
- Q If a = (-4, -8) and b= (-2, -6), find |2.5a - 3b|A) 20B) 2?5C) -6D) 4?2
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