Tutors Answer Your Questions about Finite-and-infinite-sets (FREE)
Question 1197905: If the universal set U = {1,2,3,4 5,6,7,8,9} and if set A = {1,3,5,7,9}, find the complement of set A.
Let me see.
Let A_c = complement of set A
A_c = {2,4,6,8}.
It follows from the definition of complement that set A united with A_c = set U.
Question:
Why does set A intersected with A_c = empty set?
Click here to see answer by MathLover1(20849)   |
Question 1197897: Given that set E = {x | x is an even digit }, use the Roster Method to show the even digits requested.
According to the textbook author, the answer is E = {0, 2, 4, 6, 8}.
My question is about 0. Is zero an even digit? Why is 0 on that list of even digits for set E?
Click here to see answer by math_helper(2461)  |
Question 1197897: Given that set E = {x | x is an even digit }, use the Roster Method to show the even digits requested.
According to the textbook author, the answer is E = {0, 2, 4, 6, 8}.
My question is about 0. Is zero an even digit? Why is 0 on that list of even digits for set E?
Click here to see answer by math_tutor2020(3817) |
Question 1185955: Find the payment that should be used for the annuity due whose future value is given. Assume that the compounding period is the same as the payment period.
$20,000; quarterly payments for 17 years; interest rate 5%
the payment should be? $
Click here to see answer by ikleyn(52781)  |
Question 1185955: Find the payment that should be used for the annuity due whose future value is given. Assume that the compounding period is the same as the payment period.
$20,000; quarterly payments for 17 years; interest rate 5%
the payment should be? $
Click here to see answer by Theo(13342)  |
Question 1177776: A particular fruit's weights are normally distributed, with a mean of 541 grams and a standard deviation of 22 grams.
If you pick one fruit at random, what is the probability that it will weigh between 572 grams and 597 grams
Click here to see answer by ewatrrr(24785)  |
Question 1177775: According to a recent survey, 90% of students say that they do not get enough sleep. Assume the survey meets the conditions of a binomial experiment. Round your answers to three decimal places
In a random survey of 28 students, find the probability that exactly 26 of them will say that they do not get enough sleep:
In a random survey of 28 students, find the probability that more than 26 of them will say that they do not get enough sleep:
Click here to see answer by ewatrrr(24785) |
Question 1167127: Consider the finite number of sets A1= (−1,1), A2= [1,10), A3= [−10,−1], A4= [10,∞), and A5= (−∞,−10). Prove or disprove that there is a partitionof real numbers for the collection {A1, A2, A3, A4, A5}.
Click here to see answer by greenestamps(13200)  |
Question 1166782: I just need help with letter C and please do a step by step explanation.
A group of 8 workers decides to send a delegation of 4 to their supervisor to discuss their grievances. Complete parts (a) through (c) below.
A) How many delegations are possible?
B) If it is decided that a particular worker must be in the delegation, how many different delegations are possible?
C) If there are 3 women and 5 men in the group, how many delegations would include at least 1 woman?
Click here to see answer by ikleyn(52781) |
Question 1166087: Let S be the universal set, where:
S={1,2,3,...,18,19,20)
Let sets A and B be subsets of S, where:
Set A= {2,4,5,11,13,14,15,16,19}
Set B= {2,5,7,9,10,11,14,15,17,18,20}
Click here to see answer by ikleyn(52781) |
Question 1164947: In a potato race, 10 potatoes are placed in a straight line 5 meters apart, the first potato being placed 6 meters from the starting point. how many meters does a contestant travel in collecting the potatoes one at a time and placing them in a basket located at the starting point
Click here to see answer by Boreal(15235)  |
Question 1164947: In a potato race, 10 potatoes are placed in a straight line 5 meters apart, the first potato being placed 6 meters from the starting point. how many meters does a contestant travel in collecting the potatoes one at a time and placing them in a basket located at the starting point
Click here to see answer by htmentor(1343)  |
Question 1157270: Paradise river cruises operates a fleet of river vessels. The fleet has two types of vessels: A type A vessel has 60 deluxe cabins and 160 standard cabins, whereas a type B vessel has 80 deluxe cabins and 120 standard cabins. Under a charter agreement with odyssey travel agency, paradise river cruises is to provide odyssey with a minimum of 460 deluxe and 780 standard cabins for their 2 week cruise in may. It costs $58,000 to operate a type A vessel and $75,000 to operate a type B vessel for that period. How many of each type vessel should be used to keep operating costs to a minimum?
A.Set up table to represent this information
B. (Be specific) let variable x represent
(Be specific) let variable y represent
C. Write the objective function and whether it is to be minimized or maximized
D. Write the constraints
Click here to see answer by Theo(13342) |
Question 1148462: Mr. Nakamura wants to make monthly deposits into an annuity for his grandchild so that $10,000 will be available in 6 years. If the interest rate is 9% compounded monthly, find the monthly deposit. (Round your final answer to two decimal places.)
Click here to see answer by MathTherapy(10552)  |
Question 1148462: Mr. Nakamura wants to make monthly deposits into an annuity for his grandchild so that $10,000 will be available in 6 years. If the interest rate is 9% compounded monthly, find the monthly deposit. (Round your final answer to two decimal places.)
Click here to see answer by ikleyn(52781) |
Question 1148489: A 12-year-old child received an inheritance of $3000 per year. This was to be invested and allowed to accumulate until the child reached 21 years of age. The first payment was made on the child's 12th birthday and the last on the 21st birthday. If the money was invested at 5.5% compounded annually, what did the child receive at age 21? (Round your final answer to two decimal places.)
Click here to see answer by ikleyn(52781) |
Question 1148484: Alex expects to graduate in 3.5 years and hopes to buy a new car then. He will need a 20% down payment, which amounts to $3600 for the car he wants. How much should he save now to have $3600 when he graduates if he can invest it at 6% compounded monthly? (Round your final answer to two decimal places.)
Click here to see answer by ikleyn(52781) |
Question 1131657: Brooks Bros. Company purchased a piece of equipment and used the straight-line depreciation method. The company books showed that the book value was $14,475 at the end of the third year and $8275 at the end of the seventh year.
(a) Find the linear equation B(x) relating book value and number of years.
B(x) =
Click here to see answer by Boreal(15235) |
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