FINAL MAT110
Q?Determine whether the following set is finite or infinite. A=The set of multiples of 4 between 0 and 32 Is the set A finite or infinite? Infinite Finite
Finite
!!!Q? Factor the difference of squares. b2−49 A. (b+7)(b−7) B. The expression is not factorable.
A. (b+7)(b−7) correct answer listed! got wrong...
Q? Ernie Rolph deposits $5,850 at 2% annual simple interest for 1 year. How much interest will he earn?
Ernie will earn $117 in interest. I-prt
Q? What is the probability of getting either a spade or an ace when drawing a single card from a deck of 52 cards?
What is the probability that the card is either a spade or an ace? 4/13
!!!Q? Add. (8x2-7x+10)+(3x2+9x-83)
11x2 +2x-73 correct answer listed! got wrong...
Q? Use inductive reasoning to predict the next three numbers in the pattern. 7, 9, 11, 13, 15, ...
17, 19, 21
Q? If 2 is added to five times a number, the result is equal to 4 more than four times the number. Find the number.
2
!!!Q? Let U={1, 2, 3, 4, 5, 6, 7, 8, 9}, A={1, 2, 6, 8}, and B={1, 2, 3}. Find the set A ∩ B.
A ∩ B = 1, 2 ** only matching ones in A & B correct answer listed! got wrong...
!!!Q? Factor the trinomial. v2−5v−36 Select the correct choice below and fill in any answer boxes in your choice. A. v2−5v−36=(v+4)(v−9) B. The expression is not factorable.
A. v2−5v−36=(v+4)(v−9) correct answer listed! got wrong...
!!!Q? Use the method of successive differences to determine the next number in the given sequence. 3; 36; 169; 832; 2765; 7188; 15,971
Assuming that the pattern continues, the eighth term would be 31,804. correct answer listed! got wrong...
Q? A minor league baseball team plays 131 games in a season. If the team won 15 more than three times as many games as they lost, how many wins and losses did the team have?
How many games did the team lose? 29 How many games did they win? 102
Q? Find the product. (5c+5)(5c−5)
(5c+5)(5c−5)=25c2−25
Q? If $350 is invested at 6% compounded (A) annually, (B) quarterly, or (C) monthly what is the amount after 5 years?
(A) If it is compounded annually, what is the amount? $ 468.38 (B) If it is compounded quarterly, what is the amount? $ 471.40 (C) If it is compounded monthly, what is the amount? $ 472.10
Q? Denote the following set by the listing method. The set of great lakes A. {Beijing, Bogota, Buenos Aires, Cairo, Delhi} B. {Nile, Amazon, Yangtze, Mississippi, Yenisei} C. {Superior, Michigan, Huron, Erie, Ontario} D. {Alaska, California, Hawaii, Oregon, Washington}
C. {Superior, Michigan, Huron, Erie, Ontario}
Q? Let D ={10,13,15}, E={10,12,13,14} and F={9,11,12,13,15}. List the elements in the set D ∪ E.
D ∪ E ={10,12,13,14,15} ** All #'s
Q? List all the elements of the set. Use set notation and the listing method to describe the set. The set of natural numbers less than 6.
Express the set of natural numbers less than 6 in roster form. {1,2,3,4,5}
Q? Choose which reasoning process is shown in the following example. We examine the fingerprints of 1614 people. No two individuals in this group of people have identical fingerprints. We conclude that for all people, no two people have identical fingerprints. Choose the correct type of reasoning below. Inductive Deductive
Inductive
Q? Determine if the given number is a solution 7(y-3)=-2+60;=10 Is 10 a solution? Yes No
No
!!!Q? A college survey was taken to determine where students study. Of 117 students surveyed, 73 studied in the cafeteria, 54 studied in the student lounge, 21 studied in both the cafeteria and the student lounge.
Of those interviewed how many studied only in the cafeteria? 52 Of those interviewed how many studied only in the student lounge? 33 Of those interviewed how many did not study in either the cafeteria or the student lounge? 11 correct answer listed! got wrong...
Q? A classroom contains an equal number of boys and girls. If 8 girls leave, twice as many boys as girls remain. What was the original number of students present
Originally, 32 students were present.
Q? A patient in the emergency room is monitored for heart rate, oxygenation level, etc. The nurse notices that the heart beat averages 80 but drops to 60 beats every other minute and then spikes to 120. The cardiologists have asked the nurses to notify them if this happens, as that pattern is indicative of heart attacks. The nurse calls the doctor. Is the nurse using inductive or deductive reasoning?
The nurse is using deductive reasoning.
!!!Q? A pet store has 9 puppies, including 5 poodles, 2 terriers, and 2 retrievers. If Rebecka and Aaron, in that order, each select one puppy at random with replacement (they may both select the same one), find the probability that Rebecka selects a terrier and Aaron selects a retriever.
The probability is 4/81 correct answer listed! got wrong...
!!!Q? Assume that the spinner to the right cannot land on a line. Determine the probability that the spinner lands on red and determine the probability that the spinner lands on blue.
The probability that the spinner lands on red is 3/10 The probability that the spinner lands on blue is 1/5 correct answer listed! got wrong...
Q?Determine whether the set is well defined. The set of U.S. cities Choose the correct answer below. The set is well defined. The set is not well defined.
The set is well defined.
!!!Q? Evaluate the expression. 7P5
The solution is 2520 correct answer listed! got wrong...
Q? Solve. 3(x+4)=5(x-2)
The solution set is {11}.
!!!Q? There are 15 people to be distributed among three committees of 5 people each. How many ways can this be done?
There are 126,126 ways to choose the committees. correct answer listed! got wrong...
Q? Kathy stood on the middle rung of a ladder. She climbed up 3 rungs, moved down 4 rungs, and then climbed up 7 rungs. Then she climbed up the remaining 3 rungs to the top of the ladder. How many rungs are there in the whole ladder?
There are 19 rungs on the ladder. 3-4+7+3= (9 * 2) + 1
!!!Q? Insert is a subset of ⊆ or is not a subset of ⊈ so that the resulting statement is true. ∅___{p, q, r, s} Choose the correct answer below. is a subset of ⊆ is not a subset of ⊈
is a subset of ⊆ correct answer listed! got wrong...
Q?Fill in the blank with either is an element of ∈ or is not an element of ∉ to make the statement true. 1___{1, 13, 22, 32} Choose the correct symbol below. is an element of ∈ is not an element of ∉
is an element of ∈
