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Q: If P(A)=0.2, P(B)=0.3, and P(A∪B)=0.5, then P(A∩B)=?
A: Solution
Q: If P(A)=0.4, P(A∪B)=0.8, and P(A∩B)=0.3, then P(B)=
A:
Q: if a | b and a | c, then a | (mb + nc). | C,
A: If a|b then b=ka for some integer k If a|c then c=ga for some integer g
Q: If ?(?)=0.3P(A)=0.3, ?(?)=0.8 P(B)=0.8, and ?(?∩?)=0.25 P(A∩B)=0.25, then (a) ?(?|?)=P(A|B)= and…
A: Given P(A)=0.3 P(B)=0.8 P(A∩B)=0.25
Q: If APIG ACOW, CW ?
A: Question is written as If ∆PIG is congruent to ∆COW Then CW is congruent to?
Q: If P(A) = 0.50, P(B) = 0.40, and P(A ∪ B) = 0.88, then P(B | A) =
A: Given P(A) =0.50 P(B)=0.40 P(AUB) =0.88 P(AUB)=P(a) +P(B)-P(ANB) 0.88 =0.50+0.40 –P(ANB) P(ANB)…
Q: Find S, if aj = 20, d = -10, and n = 25.
A: first term a1 = 10 common difference d = -10 total number of terms n = 25
Q: Show that if a < c< b, then fave (a, b) = () fave l(a, c) + C - a | favg [c, b]
A: Solution...
Q: If Ac B, then P(A) < P(B).
A:
Q: 2. If P(A) = .38, P(B) = .83, and P(A N B) = .24; then P(A u B) = 1.21 .97 1.45 O.76
A:
Q: If n(A) = 62, n(B) = 21, and n(An B) = 3, find n(A U B).
A:
Q: If gcd(a, b) = lcm(a,b), then a = b. 0 صواب ihi O
A: It is True Proof : gcd(a,b) is the greatest common divisor of a and b , hence gcd(a,b)≤min(a,b)…
Q: If a, b, c, d, e are in A.P., then the value of a–4b+6c–4d+e is
A:
Q: Re(z,€,) = Re(*,)R (z,) O True O False
A:
Q: 5. In the questions below, suppose A = {a,b,c} and B = {b,{c}}. Mark the statement TRUE or FALSE (a)…
A:
Q: A. If BC CD and AB = 23, what is BD? D
A:
Q: Given: A={−1,0,1,2} and B={a,b,c} Is A×B=B×S? Is (1,c) ∈ AxB?
A:
Q: Given n(U)=70, n(A)=29, n(B)=21, and n(A ∩ B) =4, find (A∪B)'
A:
Q: If S= {a,b,c} with P(a)= 2P(b)= 4 P(c), find P(a)
A:
Q: If n(A) = 42, n(B) = 15, and n(AN B) = 1, find n(A U B).
A:
Q: If P(A) = 0.2, P(B) = 0.3, and P(A or B) = 0.4 find P(A and B). 1) 0.06 2) 0.08 3) 0.1 4) 0.12 5)…
A:
Q: If P(A) = 0.4, P(B) = 0.9, \ and P(An B) = 0.3, \ then (a) P(A|B) = \ and (b) P(B|A) =
A: We have to find given probability...
Q: Suppose a, b e (0, 5) and a b – a.
A:
Q: If In(a) = 2, In(b) = 3, and In(c) = 5, evaluate the following: In(a³b') (c) In(bc) - 3 1 а (d) (In…
A:
Q: 5. For ea three c and be a)
A: Note- Since you have posted a question with multiple sub-parts, we will solve first three sub-parts…
Q: (a) (AUB)\C= (A \C)U(B\C)
A:
Q: If P (A) = 80%, P (A u B) = 0.95, and P (A nB) = 45%, then P (A n B̅) is
A: It is given that, P (A) = 80%=0.80, P (A u B) = 0.95, and P (A nB) = 45%=0.45
Q: 10 Jlgull et S={1,3,5,. . .;2,4,6, .}, then s(7) = {1,3}.a O {1,3,5,.. .}.b O {1,3,5}.c O…
A: Given a statement
Q: Р(АB)P(B), аnd P(ANB) P(ANB) Р(BA)P(A), ОTrue ОFalse
A:
Q: If a, b, c E Z and ab | c, then a | c and b | c. C If a E Z and a | 0, then 0 | a. If a, b E N, then…
A: Gcd of Integers
Q: snape state the order of re a b.
A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you…
Q: If n(A)=40, n(B)=24, and n(A n B)=6, find n(A u B).
A: We use Venn diagram to solve the given question.
Q: If P(A) = 0.45, P(B) = 0.55, and P(AUB) = 0.78, then P(A|B) =
A: Given that, P(A)=0.45P(B)=0.55P(A∪B)=0.78
Q: If A NB + Ø , B nC +Ø ,A nC Ø , JANB| =x + 1 , |B n C| = x, |C – B| = 4 , |A – B| = 3,|B – (AUC) =…
A: Here we can use following formula from set theory to find elements in A, B and C that mean |A|, |B|…
Q: If P(A) = .6, P(B) = .3, and P(A ∩ B) = .2, then P(B | A)
A: It is given that P(A)=0.6, P(B)=0.3 and P(AꓵB)=0.2.
Q: what is the meaning of s, t, u and IR.
A: To write the meaning of s, t, u and ℝ. ℝ is the set of real numbers. s, t, u are variables which are…
Q: O If p(A) = 0.17, p(B) = 0.06 and p(A and B) = 0.0102, are A and B independent?
A:
Q: If P (A|B) = },P (A|B®) = }, ,and P (B) = then P (A) is equal to
A:
Q: a.) If a > b and b > c, then a > c b.) If a > b and b> c, then a = c c.) If a > b and b > c, then c…
A: a) If a>b and b>c then a>c (TRUE) we can write a>b>c a>c If A is greater than B…
Q: 2. If A\B C B, which of the following may be true? а. АСВ b. A= Ø c. A OB = Ø
A: A\ B = { x : x ∈A and x ∉Ba and b may be true a. if A ⊆ B, say A ={1,2,3}, and B={ 1,2,3,4}A\B =…
Q: 15. If n(A) = 43, n(B) = 20, and n(An B) = 3, find n(AU B).
A: Given that, The formula for calculating the value of nA∪B is,
Q: If ?(?∩?)=0.18, and ?(?|?)=0.3, then ?(?)=
A: Given that P(A∩B)=0.18, and P(A|B)=0.3, We want to find P(B)= ?
Q: If P(A) = 0.6 and P(B) = 0.25, and P(A and B) = 0.3, determine P(A or B)
A: P (A or B ) = 0.55
Q: 1) X, Y,2 O, elsewheve
A: Given, f(x, y, z)=kxy2z0<x or y<1, 0<z<20elsewhere
Q: 14 frut a) im fx) = an_fox) = ) m, fCX) =
A:
Q: Let A = {James, Dave, Cliff, Lars} and B {James, Kirk, Jason, Lars}. What is %3D n(P(A n B))
A:
Q: If P(A)=0.3P(A)=0.3, P(B)=0.2P(B)=0.2, and P(A∪B)=0.48, then P(A∩B)=?
A: Given data is : PA=0.3 , PB=0.2 and PA∪B=0.48 To find PA∩B Now , PAUB=PA+PB-PA∩B
Q: If P(A)=0.7, P(ANB)=0.2, and P(AUB)=0.8, find P(B')
A: It is given that P(A) = 0.7, P(A ∩ B) = 0.2, P(A U B) = 0.8
Q: In A ABC 、のこ 3,3,6-2.7, and (=2.3, (alculate (
A: LAW OF COSINES
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- In a random sample of 1500 voters from the state of New York, 670 identified themselves as Democrats, 580 identified themselves as Republicans, and 250 identified themselves as Independents. Of the Democrats, 495 stated that they disapprove of the current president. The similar numbers for the Republicans and the Independents are 265 and 145, respectively. Let p1 be the proportion of all Democrat and Independent voters in New York who disapprove of the current president, and define p2 similarly for the Republicans. The endpoints of a 95% confidence interval for p1-p2 are closest to which of the following? a. 0.188 to 0.289 b. 0.197 to 0.281 c. 0.235 to 0.329 d. 0.050 to 0.196After the premiere of the new comedy Bumblebee, moviegoers were asked in a quick poll whether they liked the movie. Out of 100 adults, all but 21 said they liked the movie, whereas out of 50 teenagers, all but 16 said they liked the movie. Fill in the blanks below to make the most reasonable statement possible. At the movie premiere, ▼(Choose one) moviegoers liked the movie less. That is because only % liked the movie, whereas % of the ▼(Choose one) moviegoers liked the movie.The television show Lett3rs has been successful for many years. That show recently had a share of 19, which means, that among the TV sets in use, 19% were tuned to Lett3rs. An advertiser wants to verify that 19% share value by conducting its own survey, and a pilot survey begins with 10 households have TV sets in use at the time of a Lett3rs broadcast. If at most one household is tuned to Lett3rs, does it appear that the 19% share value is wrong? (Hint: Is the occurrence of at most one household tuned to Lett3rs unusual?) A. no, it is not wrongB. yes, it is wrong
- In a recent study, 50 males used a new weight-loss supplement, and all but 14 of them experienced weight loss after two weeks. In the same study, 100females used the same supplement, and all but 14 of them experienced weight loss after two weeks. Fill in the blanks below to make the most reasonable statement possible. The new weight-loss supplement was less effective on ▼(Choose one) in the study. That is because only % of them lost weight after two weeks, whereas % of the ▼(Choose one) lost weight after two weeks.In a recent study, 20 males used a new weight-loss supplement, and 14 of them experienced weight loss after two weeks. In the same study, 100 females used the same supplement, and 82 of them experienced weight loss after two weeks. Fill in the blanks below to make the most reasonable statement possible. The new weight-loss supplement was more effective on ▼(Choose one) in the study. That is because only % of them failed to lose weight after two weeks, whereas % of the ▼(Choose one) failed to lose weight after two weeks.In a recent study, 50 males used a new weight-loss supplement, and all but 15 of them experienced weight loss after two weeks. In the same study, 100 females used the same supplement, and all but 22 of them experienced weight loss after two weeks. Fill in the blanks below to make the most reasonable statement possible. The new weight-loss supplement was less effective on ▼(Choose one) in the study. That is because only % of them lost weight after two weeks, whereas % of the ▼(Choose one) lost weight after two weeks.
- A manufacturing firm finds that 70% of its new hires turn out to be good workers, and 30% become poor workers. All current workers are given a reasoning test. Of the good workers, 85% pass the test, and 35% of poor workers pass it. Assume that the figures will hold true in the future. If the company makes the test part of its hiring procedure and only hires people who meet the previous requirements and pass the test, what percent of the new hires will turn out to be good workers?In a recent study, 20 males used a new weight-loss supplement, and 14 of them experienced weight loss after two weeks. In the same study, 50 females used the same supplement, and 29 of them experienced weight loss after two weeks. Fill in the blanks below to make the most reasonable statement possible. The new weight-loss supplement was less effective on ▼(Choose one) in the study. That is because % of them failed to lose weight after two weeks, whereas only % of the ▼(Choose one) failed to lose weight after two weeks.After the premiere of the new comedy Bumblebee, moviegoers were asked in a quick poll whether they liked the movie. Out of 20 adults, 15 said they liked the movie, whereas out of 50 teenagers, 32 said they liked the movie. Fill in the blanks below to make the most reasonable statement possible. At the movie premiere, ▼(Choose one) moviegoers liked the movie more. That is because % liked the movie, whereas only % of the ▼(Choose one) moviegoers liked the movie.
- After the premiere of the new comedy Bumblebee, moviegoers were asked in a quick poll whether they liked the movie. Out of 25 adults, all but 8 said they liked the movie, whereas out of 100 teenagers, all but 24 said they liked the movie. Fill in the blanks below to make the most reasonable statement possible. At the movie premiere, _________ moviegoers liked the movie more. That is because only___% disliked the movie, whereas _____% of the ______________moviegoers disliked the movie. (adult/teenage). (%)The television show CSI: Shoboygan has been successful for many years. That show recently had a share of 19, which means, that among the TV sets in use, 19% were tuned to CSI: Shoboygan. An advertiser wants to verify that 19% share value by conducting its own survey, and a pilot survey begins with 12 households have TV sets in use at the time of a CSI: Shoboygan broadcast.In a recent study, 25 males used a new weight-loss supplement, and all but 7 of them experienced weight loss after two weeks. In the same study, 100 females used the same supplement, and all but 45 of them experienced weight loss after two weeks. Fill in the blanks below to make the most reasonable statement possible. The new weight-loss supplement was more effective on ▼(Choose one) in the study. That is because _% of them lost weight after two weeks, whereas only _% of the ▼(Choose one) lost weight after two weeks.