If A c B with a e A, then which of the following is true? A. AnB = B B. AUB = A С. ФСА D. All the above.

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: Given P(E) = 0.34, P(F) = 0.36, and P(E and F) = 0.17, what is P(E or F)?

A: Solution: From the given information,

Q: Given B={c, o, d} C={c, d, o} Which of the following is FALSE? OBCC OCCB OC B B = C

A: Solution:-

Q: Show that if a < c< b, then fave (a, b) = () fave l(a, c) + C - a | favg [c, b]

A: Solution...

Q: if n(A) = 6, n(B) = 8 and n(A∪B) = 14,which of the following is true? A.B⊆A B.A∩B=B C.A⊆B…

A: Please refer the attached image for complete solution.

Q: Given that, for some a, b, c, d, e, ƒ, g, h, i, k € R, la b d e S = 3, e 19 h i

A:

Q: = 0.40, what is P(A)?

A: Independent event- two events ( suppose A and B) are called to be independent events if the outcome…

Q: Indicate which of the following are correct, and correct the ones that are not. (a) In e* = x (b)…

A:

Q: (1 point) If In(a) = 2, In(b) = 3, and In(c) = 5, evaluate the following: (a) In (b) In /t²c_ ²a_I…

A: We use the properties of logrithm.

Q: If m21 = m22 , which of the following statements is true? m O A A k|li B. n|| m C. E|| k D. ||m

A: Given,

Q: If o(E) = 5:7, find o(E'). o(E') =

A: The formula for odds of event E is, oE=PE1-PE The odds of E can be written as,  m:n   or   mn. The…

Q: Given P(E or F) = 0.78, P(E) = 0.10, and P(E and F) = 0.18, what is P(F)?

A: Given that P(E or F) = 0.78, P(E) = 0.10, and P(E and F)=0.18

Q: If det(AB) = 0, is det(A) = 0 or det(B ) = 0? Give reasons for your answer.

A: Given: det(AB)=0

Q: . If ARST AABC, which of the following must be a correct statement? O RS =AC D ZB= ZT O TS CA O ZC=…

A: The corresponding sides and corresponding angles of two congruent triangles are congruent.

Q: If m/TOB = 137 then mZBOH m/BOH = _?_. || T E B

A:

Q: Given P(E or F) = 0.92, P(F) = 0.20, and P(E and F) = 0.10, what is P(E)?

A: Given : P(E or F) = 0.92, P(F) = 0.20, and P(E and F) = 0.10

Q: 5. In the questions below, suppose A = {a,b,c} and B = {b,{c}}. Mark the statement TRUE or FALSE (a)…

A:

Q: Given n(U)=70​, n(A)=29​, n(B)=21​, and n(A ∩ B) =4​,  find (A∪B)'

A:

Q: ", if C C B – A, then ANC=0.

A:

Q: If S= {a,b,c} with P(a)= 2P(b)= 4 P(c), find P(a)

A:

Q: If | A| = 2 and |B| = 6, what is |AU B|+|An B?

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 1)if DE=6, EB=4, and AE=3, find EC D. B. E.

A: When the two chords intersect; the product of the segments of one chord is equal to the product of…

Q: Given P(E) = 0.45, P(F) = 0.20, and P(E and F) = 0.07, what is P(E or F)?

A: The P(E or F) is given below: From the given information, P(E) = 0.45, P(F) = 0.20 and P(E and F) =…

Q: Given P(E) = 0.23, P(F) = 0.34, and P(E and F) = 0.08, what is P(E or F)

A: P(E) = 0.23, P(F) = 0.34, and P(E and F) = 0.08.

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: if p(e)= 3/7, find o(e)

A: Given: p(e)=3/7 The objective is to find o(e) It is know that P(A)=1-P(A)

Q: If p=T, q=unknown and r=F, what is q ↔ p?Single line text.

A: q↔p means "q if and only if p" This means that the statement q↔p is true only when q and p both are…

Q: Given P(E or F) = 0.17, P(E) = 0.33, and P(F) = 0.48, what is P(E and F)?

A: General addition rule is given by:

Q: Given DH a GF, DHGF, DHLHE, GFLFE Prove ADHE AGFE D H E онзон, вон 16F DH LHE, GFL G

A:

Q: If c > 0, Ju| = c is equivalent to u = or u =

A: Given:              u=c,    c&gt;0 use modulus property:           x=x if x&gt;0x=-x if x&lt;0

Q: cartst teltll. Use SUH, C 5) 7.7 10.3 A 12 A) 48.4° C) 47.1° B) 59.3° D) 49.2° 15 A) 51.3° C) 63.8°…

A: Note: As per company policy we are supposed to solve only 1 question. So, kindly repost other…

Q: If a * b = a + 2ab, is (a * b) * c = a * (b * c)? *       a. Yes b. No c. Maybe d. Cannot be…

A:

Q: If m/DHG = 76°, then what is mZKHI? B C E A F H K M L J

A: Given,  Lines are intersecting  m∠DHG = 76°  We have to find m∠KHI .

Q: e) CF = 6, AB = 5, BC =? f) EG = 4, BC = 3, CD = ED, ED =? g) AC = 30, BC = 5, ED = 12, CD =? h) AC…

A:

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: One of the following is always true: O a. (AUB)-A = B а. O b. BUA= (A - B)U(B-A) O c. BU(ANB)=AUB O…

A:

Q: If P(A) = 0.3 and P(B) = 0.6, what is P(A or B) if A and B are disjoint? a)0.72 B)0.18 c)0.90 d)…

A: P(A or B)=P(A)+P(B)-P(A and B)  if A and B are disjoint then P(A and B)=0   So P(A or B)=P(A)+P(B)…

Q: 2. If A\B CB, which of the following may be true? AC B b. A = Ø c. A OB = Ø а. с.

A: We are given that A\B is a subset of B. Now ,  A\B = The set contains of " Elements in A which are…

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(E∩F)=0.042, P(E|F)=0.12, and P(F|E)=0.6, then (a)   P(E)= (b)   P(F)= (c)   ?(?∪?)=

A: It is given that P(E∩F)=0.042, P(E/F)=0.12 and P(F/E)=0.6.

Q: Which of the following is equivalent to (p → q) → (r → s)? O (P→ r) → (q → s) O (4→ q) → (p –→ s) O…

A: We have to find which option is correct

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 a ib and b i y, then b y

A: Given, Lines a, b, x, y  and  z a∥b b⊥y The, we have to find the correct option.

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: If AHPY = ASAD, which of the following is NOT true? HP = AS YP = DA Option 1 Option 2 ZPYH = LADS…

A:

Q: If arg (z) < 0, then arg (-z) – arg (z) * equal to -TT -Tt/2 O Tt/2 O

A: To find: The value of arg-z-argz. Given: The value of argz&lt;0. Concept used: If z=cos θ+isin θ…

Q: when you run a lin reg t test and get the values for a,b and r in sec. 10.1 and 10.2, which two of…

A: The linear regression equation is of the form: y = a+bx y is the dependent variable x is the…

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.