Math

Mathematical Reasoning

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William has put $5,000 of savings into a bank that will collect a 1% annual interest rate. Suppose he does not deposit any additional money, how much interest will he earn in 6 months? Recall (1 = Prt and in this case t = 6/12) Suppose Kaitlin has a credit card debt of $4,000, which has an annual ratec fon the month is $60

QUESLUIT 13 UI 2011 PUML) | Question Attempt: 1 of Unlimited <7 8 9 ✓ 10 ✓ 11 ✓ 12 ✓ 13 14 15 16 17 18 ✓ 19 Consider the given statement. If we sell carrots at the market, then we do not sell berries at the market. For each statement below, determine whether it is equivalent to the given statement, the negation of the given statement, or neither of these. Statement Equivalent Negation Neither We do not sell carrots at the market or we do not sell berries at the market. We sell berries at the market or we sell carrots at the market. If we sell berries at the market, then we do not sell carrots at the market. O oo We sell carrots at the market and we sell berries at the market. O X ? Check Save For Later S HiLLC All Rights Reserved. Terms of Use | Privacy

Week 3 Homework Question 19 of 20 (1 point) | Question Attempt: 1 of Unlimited Consider statements P and g. p: It is raining q: Chang is wearing a coat. (a) Write each statement below in symbolic form using p and q. Descriptive form Symbolic form P 9 Statement 1: If Chang is wearing a coat, then it is not raining. I DAD Ovo Statement 2: Chang is not wearing a coat or it is not raining. O $ (b) Complete the truth table below. Use T for true and F for false. You may add more columns. But those added columns will not be graded. Your answers from part (a) will fill in here. pa Statement 1: Statement 2:0 P 9 T T DAD Dv T F 1 TI F T . x 5 ? F F (c) Are Statement 1 and Statement 2 equivalent? Why or why not? Choose the best answer. X O Statement 1 and Statement 2 are equivalent. This is because the truth value of O Statement 1 is the same as the truth value of Statement 2 for each true-false combination of p and q. Statement 1 and Statement 2 are equivalent. This is because the two statements are made from p and q, and any two statements made from p and q are equivalent. Statement 1 and Statement 2 are not equivalent. This is because the two statements are different, and different statements cannot be equivalent. Statement 1 and Statement 2 are not equivalent. This is because the truth value of O Statement 1 is different from the truth value of Statement 2 for at least one true-false combination of p and q.

= Week 3 Quiz Question 10 of 10 (1 point) | Question Attempt: 1 of 1 Consider statements p and q. p: The truck is on the road. 9: A valley is below us. (a) Write each statement below in symbolic form using p and q. Descriptive form Symbolic form P P 9 Statement 1: If a valley is below us, then the truck is not on the road. I - DAD Ovo 00 Statement 2: A valley is not below us or the truck is not on the road. I x S ? (b) Complete the truth table below. Use T for true and F for false. You may add more columns. But those added columns will not be graded. Your answers from part (a) will fill in here. Statement 2: Statement 1: P 9 p 9 T T DAD OVO L 0 O a T F L D-0 FT a I X ? FF 0

Week 3 Quiz Question 3 of 10 (1 point) Question Attempt: 1 of 1 = 1 ✓ 2 = 3 = 4 v 5 6 7 B 10 Consider statements p and q. p: There are birds at the zoo. q: There are lions at the zoo. For parts (a) and (b), fill in the symbolic form. For part (c), choose the descriptive form. Descriptive form Symbolic form p q (a) There are no lions at the zoo. Ô JAD v (b) There are birds at the zoo or there are lions at the zoo. x $ ? (C) (Choose one) q^p

Week 3 Quiz Question 1 of 10 (1 point) | Question Attempt: 1 of 1 = 1 = 3 ▼ 2 10 ✓ 5 E 4 ✓ 8 6 E 7 For each statement, choose if it is simple or compound. If it is compound, choose which type. Statement Type of statement (a) Yesterday was my favorite day of the year. O Simple O Compound (Choose one) V (b) Ann will walk in the park or she will exercise at home. Simple O Compound (Choose one) V (c) The cat will come to you if and only if you sit very still. O Simple O Compound (Choose one) Conjunction Disjunction Conditional Biconditional at

Question 15 of 20 (1 point) | Question Attempt: 1 of 1 7 = 8 9 10 11 12 13 114 15 16 17 18 19 Español 20 A EL (a) A bank analyst wants to ask customers who have a mortgage with the bank about the customers' home-buying experiences. Which of the following best describes a stratified sample of customers? The analyst forms groups of 20 customers based on the cities the customers live in. Then, she selects all of the customers in 4 randomly chosen groups. The analyst forms 4 groups of customers based on the customers' mortgage amounts. Then, she selects 20 customers at random from each group. The analyst uses a computer program to draw 80 customers at random and selects these customers. Every set of 80 customers is equally likely to be drawn by the computer program. o (b) Counselors at a college want to poll students about how much time the students spend studying. Which of the following best describes a systematic sample of students? O The students living in a particular dorm building on campus are easily accessible. So, the counselors select the 54 students living in that particular dorm building. The counselors form 6 groups of students based on the numbers of classes the students are taking. Then, the counselors select 9 students at random from each group. The counselors take a list of the students and select every student until 54 students are selected. 6th (C) The organizers of a conference want to survey attendees about the registration fee. Which of the following best describes a random sample of attendees? The organizers assign each attendee a different number. Using a random number table, the organizers draw 50 of those numbers at random. Then, the organizers select the attendees assigned to the drawn numbers. Every set of 50 attendees is equally likely to be drawn using the random number table. The organizers form groups of 10 attendees based on the day the attendees registered. Then, the organizers randomly choose 5 groups and select all of the attendees in these groups. The organizers take a list of the attendees and select every 5th attendee until 50 attendees are selected. O x

Week 3 Homework Question 15 of 20 (1 point) | Question Attempt: 1 of Unlimited Leah v 7 8 9 10 11 ✓ 12 13 = 14 16 17 Español 18 19 20 Consider the given statement. If Kala is practicing soccer, then Manuel is not reading. oo E For each statement below, determine whether it is equivalent to the given statement, the negation of the given statement, or neither of these. Statement Equivalent Negation Neither Kala is not practicing soccer or Manuel is not reading. BO O Kala is practicing soccer and Manuel is reading. O O O If Manuel is reading, then Kala is not practicing soccer. O Manuel is reading or Kala is practicing soccer. o O O x ?

JULIUMIS_HDRIPELJbe338ysWrLOSKGSy4Ar9j1mXKkhs Week 3 Homework Question 6 of 20 (1 point) | Question Attempt: 2 of Unlimited 2 ✓ 3 4 ✓5 7 00 8 9 10 11 ✓ 12 ✓ 13 Consider statements p and q. P: The car is blue. g: The car is a sedan. For parts (a) and (b), fill in the symbolic form. For part (c), choose the descriptive form. Descriptive form Symbolic form p o (a) The car is a sedan and the car is blue..] vu 0-0 (b) The car is a sedan or the car is blue. x 5 ? ~ P (c) (Choose one) The car is not a sedan. The car is a sedan. The car is not blue.

LUNUNLLYSPUVJ1122285AYexcki5R... G a III Week 3 Quiz Question 10 of 10 (1 point) Question Attempt: 1 of 1 Leah V Consider statements p and q. Español p: Carmen is practicing basketball. q: Felipe is reading. (a) Write each statement below in symbolic form using p and q. Descriptive form Symbolic form p 9 Statement 1: Felipe is not reading and Carmen is not practicing basketball. I NV Ovo Statement 2: Carmen is practicing basketball or Felipe is reading. - IN - X 5 . (b) Complete the truth table below. Use T for true and F for false. You may add more columns. But those added columns will not be graded. Your answers from part (a) will fill in here. p 9 Statement 1: Statement 2: P q T T L - DAD OVO T F 0 0 00 F T X $ ? F F Savo For Later Submit Assignment

LUITENPL. TULI 1 2 3 4 5 07 6 7 ✓8 9 10 Consider the given statement. Some pots in the kitchen have a lid. For each statement below, determine whether it is a negation of the given statement. Yes No X 5 ? Some pots in the kitchen do not have a lid. None of the pots in the kitchen have a lid. 0 0 All pots in the kitchen have a lid. O Not every pot in the kitchen has a lid. O O

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