Mathematics problem solving
178175 questions • Page 52 / 3564
(a) If f and g f are onto,then g is onto. (b) If g and g f are onto,then f is on
(a) If f and g f are onto,then g is onto. (b) If g and g f are onto,then f is onto.
(a) If f(x) = x4+5x,find f(x). (b) Check to see that your answer to part (a) is
(a) If f(x) = x4+5x,find f(x). (b) Check to see that your answer to part (a) is reasonable by comparing the graphs of f and f Find the derivative of the function using the definit…
(a) If the joint probability distribution of X and Y is givenby f(x,y)=(x+y)/30
(a) If the joint probability distribution of X and Y is givenby f(x,y)=(x+y)/30 for x = 0,1,2.3 and y=0,1,2 Find 1. P(X<=2, Y=1) 2. P(X+Y=4) (b) An electrical firm manufactures…
(a) If the joint probability distribution of X and Y is givenby f(x,y)=(x+y)/30
(a) If the joint probability distribution of X and Y is givenby f(x,y)=(x+y)/30 for x = 0,1,2.3 and y=0,1,2 Find 1. P(X<=2, Y=1) 2. P(X+Y=4) (b) An electrical firm manufactures…
(a) If the joint probability distribution of X and Yis given by Find (b) An elec
(a) If the joint probability distribution of X and Yis given by Find (b) An electrical firm manufactures light bulbs thathave a length of life that is normal…
(a) If the joint probability distribution of X and Yis given by Find (b) An elec
(a) If the joint probability distribution of X and Yis given by Find (b) An electrical firm manufactures light bulbs thathave a length of life that is normal…
(a) If the observation marked with an x in the plot to the right is removed, how
(a) If the observation marked with an x in the plot to the right is removed, how will the slope of the least squares line change? (b) What will happen to r2 and se? 1400q c) is th…
(a) If the observation marked with an x in the plot to the right is removed, how
(a) If the observation marked with an x in the plot to the right is removed, how will the slope of the least squares line change? Will it increase, decrease, stay the same, or cha…
(a) If the observation marked with an x in the plot to the right is removed, how
(a) If the observation marked with an x in the plot to the right is removed, how will the slope of the least squares line change? (b) What will happen to r2 and se? 1400q c) is th…
(a) If x, y ? R, and x
(a) If x, y?R, and x<y, then there is t?Q such that x<t<y. (b) For a subset A?R, and for an element x?R,we will write x+A for the set {x + y | y ? A}. (c) A family of set…
(a) If x2 + y2 = 400, find dy/dx. (b) Find an equation of the tangent to the cir
(a) If x2 + y2 = 400, find dy/dx. (b) Find an equation of the tangent to the circle x^2 + y^2 = 400 at the point (16, 12). (a) Differentiating both sides of the equation x^2 + y^2…
(a) If you roll a single die and count the number of dots on top, what is the sa
(a) If you roll a single die and count the number of dots on top, what is the sample space of all possible outcomes? Are the outcomes equally likely? (b) Assign probabilities to t…
(a) If you toss a fair coin four times would you expect the proportion of heads
(a) If you toss a fair coin four times would you expect the proportion of heads (or tails) always to be exactly 0.5 (yes or no)? (b, c, d, e) What other proportions would you prob…
(a) If you were asked to choose a material to transfer the load from the bicycle
(a) If you were asked to choose a material to transfer the load from the bicycle type "engine" on a human powered helicopter to the rotors, which of the materials above would you …
(a) In Newton’s time the radius of the Earth (6371 km) and the acceleration due
(a) In Newton’s time the radius of the Earth (6371 km) and the acceleration due to gravity on the Earth’s surface (9.81 m/s 2 ) were known. Use this information to find ke for the…
(a) In R^2, what is the distance between the point (-1, -2) and the nearest poin
(a) In R^2, what is the distance between the point (-1, -2) and the nearest point in the line L defined by 2x+y = 3? (b) What are the two coordinates of this nearest point in L? (…
(a) In how many ways can a class of 12 students be divided into groups of 3? (b)
(a) In how many ways can a class of 12 students be divided into groups of 3? (b) In how many ways can a judge award first, second, and third prize in a competition of 18 participa…
(a) In how many ways can a class of 12 students be divided into groups of 3? (b)
(a) In how many ways can a class of 12 students be divided into groups of 3? (b) In how many ways can a judge award first, second, and third prize in a competition of 18 participa…
(a) In one of the landmark experiments in physics at the end of the 19th century
(a) In one of the landmark experiments in physics at the end of the 19th century, J.J. Thomson (1856 - 1940) used electric and magnetic fields to measure the ratio of charge to ma…
(a) In probability theory, what is the meaning of the term \"event.\" [A one sen
(a) In probability theory, what is the meaning of the term "event." [A one sentence answer ... nothing longer!]. (b) State the definition of the conditional probability of an even…
(a) Independent tests reveal that the mean lifetime (in continuous operation) of
(a) Independent tests reveal that the mean lifetime (in continuous operation) of the best remote control button on the market is 1,200 hours. Letting be the mean lifetime of the p…
(a) Insured? A data set based is set on 168 hospital discharge summaries show th
(a) Insured? A data set based is set on 168 hospital discharge summaries show that 20% of patients were uninsured. (The review takes place in a large referral hospital.) (b) Perce…
(a) Is it true that more than 50% of the sampled angles are smaller than 15 degr
(a) Is it true that more than 50% of the sampled angles are smaller than 15 degree, as asserted by researchers? Yes, the proportion of sampled angles smaller than 15 degree is gre…
(a) Is it true that more than 50% of the sampled angles are smaller than 15 degr
(a) Is it true that more than 50% of the sampled angles are smaller than 15 degree, as asserted by researchers? Yes, the proportion of sampled angles smaller than 15 degree is gre…
(a) Is the data collected categorical or quantitative? (b) How many groups of da
(a) Is the data collected categorical or quantitative? (b) How many groups of data were collected? (c) What type of test would you do? (Choose from: one proportion, two proportion…
(a) Is the demand elastic or inelastic when p = 7? elastic inelastic Is the dema
(a) Is the demand elastic or inelastic when p = 7? elastic inelastic Is the demand elastic or inelastic when p = 11? elastic inelastic (b) When is the demand unita…
(a) Is x(x ? 1), (2x ? 1)2 , 1 a spanning set for P2? (b) Are the matrices (1 1
(a) Is x(x ? 1), (2x ? 1)2 , 1 a spanning set for P2? (b) Are the matrices (1 1 1 1) , ( 0 ?1 1 0 ) , (2 0 0 2) , ( 0 1 ?1 ?1) linearly independent? (c) It can be shown that the s…
(a) It is an interesting fact that if p is a prime number such that p- 1 is divi
(a) It is an interesting fact that if p is a prime number such that p- 1 is divisible by 4, then p can be written as the sum of two squares. (By a square, we mean the square of an…
(a) John wants to paint four rooms in his house, each adifferent color and he ma
(a) John wants to paint four rooms in his house, each adifferent color and he may choose from seven different colors ofpaint. How many color combinations are possible for the four…
(a) Just for fun, a person jumps from rest from the top of atall cliff overlooki
(a) Just for fun, a person jumps from rest from the top of atall cliff overlooking a lake. In falling through a distanceH, she acquires a certain speed v. Asssuming free-fallcondi…
(a) Let S be the set in R^2 de%uFB01ned by these simultaneous linear inequalitie
(a) Let S be the set in R^2 de%uFB01ned by these simultaneous linear inequalities: x1 %u2265 0, x2 %u2265 0, x1 %u2212%u221A3 x2 %u2265 %u22122%u221A3, x1 +%u221A3 x2 %u2265%u221A…
(a) Let be a real number. Compute A I. (b) Find the eigenvalues of A, that is, f
(a) Let be a real number. Compute A I. (b) Find the eigenvalues of A, that is, find the values of for which the matrix A I is not invertible. (Hint: There should be exactly 2. Lab…
(a) Let f be the relation represented by the following graph. Is f a function fr
(a) Let f be the relation represented by the following graph. Is f a function from A to B? (b) Let W be the set of all words of English, and let A be the set of all letters of the…
(a) Let theta_n be an estimator of a population parameter theta. Explain what th
(a) Let theta_n be an estimator of a population parameter theta. Explain what this means for a random sample X_1, ..., X_n which are distributed with parameter theta and give an e…
(a) Let theta_n be an estimator of a population parameter theta. Explain what th
(a) Let theta_n be an estimator of a population parameter theta. Explain what this means for a random sample X_1, ..., X_n which are distributed with parameter theta and give an e…
(a) Let x, y, z be integers such that x+ y +z = 0. Show that if d is an integer
(a) Let x, y, z be integers such that x+ y +z = 0. Show that if d is an integer which divides two of r, y, z, then it also divides the third of these numbers. Note: your proof sho…
(a) Let x, y, z be integers such that x+ y +z = 0. Show that if d is an integer
(a) Let x, y, z be integers such that x+ y +z = 0. Show that if d is an integer which divides two of r, y, z, then it also divides the third of these numbers. Note: your proof sho…
(a) Let {E_1, E_2, E_3} be a partition of the sample space S, and let F be any e
(a) Let {E_1, E_2, E_3} be a partition of the sample space S, and let F be any event. State the Law of Total Probability as it applies to the partition {E_1, E_2, E_3} and the eve…
(a) Let {E_1, E_2, E_3} be a partition of the sample space S, and let F be any e
(a) Let {E_1, E_2, E_3} be a partition of the sample space S, and let F be any event. State the Law of Total Probability as it applies to the partition {E_1, E_2, E_3} and the eve…
(a) List each real zero and its multiplicity (b)Determine whether the graph cros
(a) List each real zero and its multiplicity (b)Determine whether the graph crossed or touches the x-axisat each x intercept (c)determine the behavior of the graph near eachx-inte…
(a) Make a contour diagram of a standard baseball with the diameter of 73mm show
(a) Make a contour diagram of a standard baseball with the diameter of 73mm show at least 10 contours. (b) A company makes three types of cookies: shortbread, mint, and fudge swir…
(a) Make a table giving the sample size, mean, and standard deviation for each t
(a) Make a table giving the sample size, mean, and standard deviation for each type of pot. Is it reasonable to pool the variances? Note that with the small sample sizes in this e…
(a) Make a table giving the sample size, mean, and standard deviation for each t
(a) Make a table giving the sample size, mean, and standard deviation for each type of pot. Is it reasonable to pool the variances? Note that with the small sample sizes in this e…
(a) Make an Excel worksheet to calculate SS_xx, SS_yy and SS_xy. (Leave no cells
(a) Make an Excel worksheet to calculate SS_xx, SS_yy and SS_xy. (Leave no cells blank - be certain to enter "0" wherever required. Negative values should be indicated by a minus …
(a) Make an Excel worksheet to calculate SSx, SSy, and SSy (Leave no cells blank
(a) Make an Excel worksheet to calculate SSx, SSy, and SSy (Leave no cells blank be certain to enter "O" wherever required. Negative values should be indicated by a minus sign. Ro…
(a) Make an Excel worksheet to calculate SSxx, SSyy, and SSxy. (Leave no cells b
(a) Make an Excel worksheet to calculate SSxx, SSyy, and SSxy. (Leave no cells blank - be certain to enter ''0'' wherever required. Negative values should be indicated by a minus …
(a) Make an Excel worksheet to calculate SSxx, SSyy, and SSxy. (Leave no cells b
(a) Make an Excel worksheet to calculate SSxx, SSyy, and SSxy. (Leave no cells blank - be certain to enter 0 wherever required. Negative values should be indicated by a minus sign…
(a) Make bar of these problem in America? a graph conclude about the weight (b)
(a) Make bar of these problem in America? a graph conclude about the weight (b) Could you make a pie chart for these data? (Explain why or why not.) If so, what would it emphasize…
(a) Mary plans to buy a dozen plain bagels with the intention of eating them on
(a) Mary plans to buy a dozen plain bagels with the intention of eating them on the five weekdays of a particular week(Monday through Friday). In how many different ways can she d…
(a) Measurements of a known quantity are taken and the quanitity is normally dis
(a) Measurements of a known quantity are taken and the quanitity is normally distributed with mean 0.05. We obtain 0.041, 0.064, 0.055, 0.046, 0.060. Estimate the variance of the …
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