At the restaurant i 23 Σ π, they have 12 appetizer and 12 entree options.  How many unique 2-course meals (consisting of one appetizer, and one entree) can be created?

Q: If P(A) = 0.68, P(A U B) = 0.91, and P(A n B) = 0.35, then P(B) = %3D

A:

Q: Given the diagram below, mZAOB = (8k + 8) ° and m/COD = (6k + 18) ° : k=

A: Angle AOB and Angle COD are vertically opposite angles.  So, 8k+8=6k+18        2k = 10        k = 5

Q: 6 P C In OP, mAC = 60° and BC 12. Find AB. 6. b. 3/3 а. 3 с. 6

A: From the given figure, it is observed that,

Q: 1. Given: AB || CD, AP || TQ, PB = QD Show: AB Se CD

A: Given that: PB¯≅QD¯   Since ∠APB and ∠CQD are corresponding angle, therefore ∠APB=∠CQD   Since ∠ABP…

Q: If 14 - 126 walnuts are distributed to three people in proportion to the numbers 3, 4 and 7, how…

A:

Q: In (IR, 7sorg), if A = T. sorg :n EN and B = (2, 3) then AUB=

A: A closure is the smallest closed set containing A.

Q: The number of selections of 3 students from a class of 7 students for a party in which the class…

A: To find: The number of selection of 3 students from a class of 7 students for a party in which the…

Q: Find the values of a, b, and c so that det(4) = ax2 + bx+ c. 2 A = -2 -1 -2 -7 3

A: A=x20-2x-1-2-73   and detA=ax2+bx+c

Q: In the accompanying diagram of AABC, AB 1 BC and EF 1 AB at E. If BC- 12, AB=16, and AE -8, find EF.…

A: Explanation and solution is given below....

Q: If A = -9 -31, then what is I + 2A + 3A² + 4A³ + 5Aª + ... ∞? 3.

A: We use definition of nilopotent matrix.

Q: Given the A 5. 8. D MLABD m/CBD m/CBD m/BCD m/BAD m/ABD IIO00 VOOO

A: we know that in a triangle if length of side is larger then angle corresponding to that side will be…

Q: In the diagram below, AB | CD, AD || BC, AC IBD, AD DC, and mZCDE = 50°. Find m/ADE.

A: In a diagram below, AB¯∥ CD¯ ,  AD¯∥ BC¯ ,  AC¯⊥ BD¯  ,  AD¯≅ DC¯and m∠CDE=50°,  find m∠ADE

Q: In a A ABC, if ZB = 54° and sides a = 17.21 m, c = 2.51 m, then side b is_

A:

Q: Given P(A) = 0.2, P(B) = 0.4, and P(A | B) = 0.1, find P(A and B)

A:

Q: In a A ABC, if ZB = 50° and sides a = 15.24 m, c = 3.84 m, then side b is_ O 17.11 m O 15.11 m O…

A:

Q: We are given that P(A) = 0.55, P(B) = 0.35, and P(A∪B) = 0.75. Determine  P(Ac ) and P(A∩B).

A:

Q: Obtain the sum of the seri Ean $a = -² 2 n=2 nn

A:

Q: John give 2/3 of pencils,p,to Roy and then gives 1/4 of the pencils t he has left to Maria. In terms…

A: We have to find In terms of p,how many pencils does John now have...

Q: P = R-C, for R %3D N

A:

Q: A IC R

A: The arc subtended by a diameter of any circle measures 180o.

Q: If P(A) = 0.68, P(A c B) = 0.91, and P(A n B) = 0.35, then P(B) = %3D

A:

Q: Find conditions on a, b, c, and d such that AB = BA

A:

Q: f A=2 and c=14 find b ABC with C=90

A:

Q: In the given figure above, AB^ = 7x - 140 and DE^ = 20x + 50, the sum of AB^ and DE is 1800. a) What…

A:

Q: If n(A) = 45, n(B) = 22, and n(A N B) = 9, find n(A U B).

A: By using inclusion and exclusion formula, we calculate the required value.

Q: the sol SO =-1 is

A:

Q: A ABC, if ZA = 79° and sides a = 15 m, c = 4.6 m, then Z 0° 3.35° 17.52°

A: We have to choose the correct answer from the given options according to the given information

Q: If 2 and 3 are two geometric means between m and n, find the value of m.

A: We use the formula Tn=T1rn-1 where r is the common ratio.

Q: If P = (-4,3), Find: Ry-1 (P) %3D1 ([?].[ )

A: We have to find the reflection of P(-4,3) about y=1 line

Q: А - (BUC) — | (А — В) UC (А — В) U (A — С) | О Оption 4 Оption 1 (А — В)n (A — С) (А — В — С)

A: 1. As by distributive property A - (B ∪ C) = (A - B) ∪ (A - C) Hence Answer: Option 1 (A - B) ∪ (A -…

Q: Given P =I2R, P=480 and I =5, find R

A: GivenP=I2R P=480I=5

Q: If n(A) = 41, n(B) = 18, and n(A n B) = 6, find n(A U B).

A:

Q: Suppose, X|6 ~ Binom(n, 0) and 0 ~U (0, 0.25), then E(Y)is equals to, a) b) c) 2.15 8n 1.25 n d) 8

A: Answer: d) n8

Q: When arranging all of the letters in the word parallel : a) How many arrangements can be formed from…

A: Given data The word "parallel" is given

Q: If P( A) = .40, P( B) = .30, and P AOB) = .15, then P( A/ B) is %3D %3D .375 .12 .50 .045

A: Its conditional probability P(b)=0.30 P(a and b)=0.15

Q: 2. Given that P(AUB) = 0.76 and P(AU B')=0.87, find P(A).

A: We have given that,  P(AUB) = 0.76 and P(AUB') = 0.87 Then,  We will find P(A) = ?

Q: Given that P= (ad), 428 Engineering Mathematics where a +d=-1 and ad-be = 1, show that and hence…

A: Given Problem:- p=abcd Given a+d=-1 and ad-bc=1 Show that  p2=d-b-ca Hence deduce that  p2+p+1=0

Q: 2) Given: 00 with AB BC; mZAOC-130 Find: a) m AB b) m AC e) mZABC e) mZ BCO

A:

Q: If n(A) = 41, n(B) = 21, and n(A n B) = 9, find n(A U B).

A: Given n(A) = 41 n(B) = 21 n(A n B) = 9

Q: U(9) has how many elements?

A: We know that- U(n) is the set of natural numbers  that are less than n and coprime to n.

Q: In the figure below, suppose mZ1=30° and mZ3=32°. 2 4 Complete the statements below.

A: Given : Triangle and measure of its angle m∠1 = 30°  and m∠3 = 32°    To find : Complete the…

Q: Given n(U)=60​, n(A)=31​, n(B)=17​, and n(A ∩ B)=8​  find n(AuB)'

A: From the provided information, n(U) = 60, n (A) = 31, n (B) = 17 and n (A Ո B) = 8 First, n (A Ս B)…

Q: If n(A U B) = 98 and n(A) = n(B) = 68, find n(AN B). %3D

A:

Q: 3. If BC = x-11, AC = 7x-36, and AB = 3x + 14, find the following.

A:

Q: In a group of 52 persons, 16 drink tea but not coffee amd 33 drink tea. Find (i) How many drink tea…

A: Introduction :

Q: If P(A)=0.33 and P(Bc)=0.11, can A and B be disjoint?

A:

Q: In the given figure above, AB^ = 7x - 140 and DE^ = 20x + 50, the sum of AB^ and DE^ is 1800. a)…

A:

Q: av Also, trh and dv ah tep 3 av When r= 153 and h= 113, then av and an ar Submit Skip (you cannot…

A:

Q: A iC c = 15 and m ZB = 78°. Find a.

A:

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.