Answers edited by Geoff K.

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• How do you solve the inequality #x^2-x-12>0#?
  
• How do you find #dy/dx# by implicit differentiation given #2x^2-3y^2=4#?
  
• What wavelength would a green glass have?
  
• Question #1cd46
  
• How do you write 2/5 in fraction?
  
• How to answer these questions ?
  
• How do you interpret a 95% confidence interval?
  
• For a dataset of size 58, the sample mean was calculated to be #barx=$2.75# and the sample standard deviation is #s=$0.86#. What is the 95% confidence interval for #mu#?
  
• #y=cot^4 2x# Find #dy/dx#?
  
• Can #y=6# be considered a function of #x#?
  
• How do you use the Binomial Theorem to expand #(x + 2)^4#?
  
• How many ways can a committee of 3 men and 2 women be chosen from a pool of 8 men and 7 women?
  
• A process for making plate glass produces small bubbles (imperfections) scattered at random in the glass, at an average rate of 4 small bubbles per #10m^2#. Consider glass pieces with dimensions 2.5m x 2.0m.?
  
• What is #2 2/3%# of 60?
  
• Which measure will be affected by an outlier the most?
  
• What do you get when you evaluate #5x-2# at both #0# and #–1#?
  
• Find the constraints, make a plot, find the maximum number of attendants, and compute the minimum cost solution for the problem below? Also, show that #4x+3y<=20# and #99x + 104y <= 600# are two of the constraints.
  
• What is the geometric sequence for #3, 6, 12, 24, ...#?
  
• What can a Poisson regression be used to estimate?
  
• How do you use long division to divide #(x^4-2x^3-4x^2+2x+3) -: (x^2+2x+1)#?
  
• What is standard deviation? Why is it called that?
  
• Quick Delivery charges $0.10 per cubic inch. How much will it cost to send a package 3 cm wide, 8 cm long, and 2 cm deep?
  
• How do you find the remaining side of a #30^circ-60^circ-90^circ# triangle if the side opposite #60^circ# is 6?
  
• How much money will you have if you started with $1200 and put it in an account that earned 7.3% every year for 10 years?
  
• The largest side of a right triangle is #a^2+b^2# and other side is #2ab#. What condition will make the third side to be the smallest side?
  
• ABCD is a trep. with AB//DC and AD = BC. If AD is parallel to CE and angle A is 70 degrees.Find all the angles ? Diagram is given below.
  
• If #a+c=2b# and #ab+cd+ad=3bc#, how do I show that #a,b,c,d# are in arithmetic progression?
  
• Question #f4b1c
  
• Two cards are drawn from an deck of 52 cards, without replacement. How do you find the probability that exactly one card is a spade?
  
• How do you solve #(x-4)(x+3)<0# using a sign chart?
  
• How do you simplify #tan^2x - (cot^2x + 1)/cot^2x#?
  
• What is the derivative of #x^sin(x)#?
  
• What is the the value of z for which the area under the normal curve to the right of z is equal to 0.76?
  
• What is the difference between discrete data and continuous data? Do data ranking a TV show on a scale from 1 to 4 count as discrete or continuous?
  
• How do you solve #2^(8x-3) = 5^(6x-9)# ?
  
• What is the probability of #X= 6# successes, using the binomial formula?
  
• How do you solve #(x+2)/(x+1)>0#?
  
• How do you determine the value(s) of k such that the system of linear equations has the indicated number of solutions: An infinite number of solutionsfor 4x + ky = 6 and kx +y = -3?
  
• A player's batting average in softball is .400. What is the probability he gets 3 hits in his next 5 at-bats?
  
• What is the minimum value of #g(x) = (x-1)/(x^2+4)?# on the interval #[-2,2]#?
  
• How do you find the slope that is perpendicular to the line #2x +3y = 5#?
  
• Suppose y varies directly with x and y=24 when x=8. What is the value of when x=10?
  
• A random sample of 90 observations produced a mean x̄ = 25.9 and a standard deviation s = 2.7. How do you find a 95% confidence interval for the population mean μ?
  
• After rolling four dice, what is the probability that all four dice show different numbers?
  
• How do you find the zeros, real and imaginary, of #y=x^2-x+7# using the quadratic formula?
  
• Human proofreaders catch 70% of word errors. If a single essay contains 10 word errors, what is the distribution of the number of errors caught in this essay?
  
• The heights of males in a certain country are normally distributed with a mean of 70.2 inches and a standard deviation of 4.2 inches. What is the probability that a randomly chosen male is under the height of 65 inches?
  
• For the equation #-4y=8x#, what is the constant of variation?
  
• If #X# is #"Normal"(μ = 81.2, σ = 12.4),# what is the 16th percentile of this distribution?
  
• How many ways can 4 students be arranged in a row?
  
• Probability question?
  
• A coin is tossed 12 times. What is the probability of getting exactly 6 tails?
  
• Is #f(x) = x^4-64# an odd function or an even function?
  
• What is the probability that if you threw 20 darts, that 8 of them would hit the same area?
  
• A six sided die is rolled six times. What is the probability that each side appears exactly once?
  
• How do you use a probability mass function to calculate the mean and variance of a discrete distribution?
  
• Can I get some help please? thanks!
  
• How do you simplify #\frac { \frac { x } { 10} - \frac { 5} { x } } { \frac { 1} { 5} + \frac { 1} { x } }#?
  
• How do you prove the statement lim as x approaches 9 for #root4(9-x) = 0# using the epsilon and delta definition?
  
• Are all rational numbers integers?
  
• #d/dx log_x x#?
  
• Question #355ed
  
• Is #f(x)=(x^2-9)/(x-3)# continuous at #x=3#?
  
• The probability distribution function of a discrete variable X is given by: P(X=r) = kr, r=1,2,3,...,n, where k is a constant. Show that #k=2/(n(n+1))# ?
  
• How do you find the median of the data set 88.6, 87.8, 85.3, 89.3, 86.8, 88.3, 85.9, 89.0, 87.4?
  
• What is #lim_(xrarrtheta)(xcostheta-thetacosx)/(x-theta)#?
  
• For these numbers: #2,2,0,5,1,4,1,3,0,0,1,4,4,0,1,4,3,4,2#, what is the (a) mean, (b) median, (c) variance and (d) standard deviation?
  
• 30% of the 20 people in the Math Club have blonde hair. If 3 people are selected at random from the club, what is the probability that none have blonde hair?
  
• Conditional probability question?
  
• Question #19be3
  
• How do you write the factor trees for 24?
  
• How do you solve #x^2<=4x# using a sign chart?
  
• How do you determine the intervals for which the function is increasing or decreasing given #f(x)=abs(x^2-4)#?
  
• What is 'z' for an 88% confidence interval?
  
• Solve #sin2x = cos2x#?
  
• How do you find Z-Y given #X=[(4,1), (-2,6)]# and #Y=[(0,-3)]# and #Z=[(-1,3), (0,-2)]#?
  
• How do you graph #y=(x+5)/(2x-4)# using asymptotes, intercepts, end behavior?
  
• How do you prove #sin^2x + cos^2x = 1#?
  
• Is 18 prime or composite?
  
• Which of these is an example of a linear equation?
  
• How do you find the indefinite integral of #int 2^(sinx)cosx#?
  
• How do I rewrite the confidence interval (0.0268, 0.133) in the form of #hatp - E < p < hatp + E#?
  
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