A bank has an alarm system in which, once activated, a buzzer sounds every 5 seconds and a light flashes every 4 seconds. How many seconds long are the intervals between simultaneous buzzer sounds and light flashes? (A) 4 (B) 5 (C) 10 (D) 12 (E) 20

Q: A toothed wheel of diameter 50 cm is attached to a smaller wheel of diameter 30 cm. How many…

A:

Q: P(A)=0.45, P(B)=0.58, and P(B|A)= 0.05. What is P(A and B)?

A: Given that  P(A)=0.45, P(B)=0.58, and P(B|A)= 0.05

Q: Age: 21, 20 , 18, 30 Teenage (10-20) so what is the Freq(TeenAge) ?

A: Given Data: Age: 21, 20 , 18, 30 we have to calculate frequency : for Teenage (10-20)

Q: Simplify each expression: b) 5(- 4) e) 7a(0) · 3· (- 5) c) (- 7)(-6) a) 5 + (-4) d) [5 + (-4)] + 8

A: Expressions

Q: If n(A) = 41, n(8) = 17, and n(A N B) = 4, find n(A U B).

A: In this question we have to find n(A U B)

Q: proot p(cn ANB) - ecen B)-p(ANB) P(B) PCB).

A:

Q: If a, =2 and a (A) 70 2n +a_, the sum of the first five terms is (В) 54 (C) 98 (D) 24 (E) 36

A: we have to find  a2 ,a3 , a4   ..........................

Q: IfP(A =0.3,P(B)=0.4andP(A and B)=0.7areAandBME?

A: The probabilities of the events are given as follows:

Q: Find the unknown variable: C(n+1, 7) = O! Your answer

A: Value of n

Q: e a graphing utility to find the indicated partial sum Sn and complete the table. Then use a…

A:

Q: If P (A) = 0.57, P(B) = 0.5, and P (A and B) = 0.48, find P (A or B). P(4 or B) =O

A: We have given that,  A and B are two events with P(A) = 0.57,          P(B) = 0.5 and P( A and B) =…

Q: If n(A) = 45, n(B) = 23, and n(A n B) = 8, find n(A U B).

A:

Q: 3(2 )-4(2) 2* -2" Simplify:

A: Given,            32x+1-42x-12x+1-2x

Q: évaluate the following: r (5) " G) (5) r (

A:

Q: If P (A) = 0.55, P(B) = 0.7, and P(A B) = 0.42, find P (A or B). and P(4 or B) = D

A:

Q: If P(A) = 0.35, P(B) = 0.45, and P(A and B) = 0.25, then P(A|B) is:     1.4     1.8     0.714…

A: P(A)=0.35 P(B)=0.45 P(A and B)=0.25   P(A/B)=P(A and B)P(A)=0.250.35=0.714

Q: simplify-(n+5!) (n+3)(n+a)!

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: 43 = _______; 82/3 = _________; 3-2 = _____________.

A:

Q: If n(A) = 41, n(B) = 22, and n(A n B) = 6, find n(A U B).

A:

Q: What is the value of (0.1)3 (20)3 ?

A: We have to find the value of: (0.1)3 (20)3

Q: 12. Find a normal vector n and an equation for the planes in Figures & (A)-(C).

A:

Q: Determine the value of the following: a. F15 + F10 b. (F7+F8+...+F16)/11= Fn , what is n? c. F35

A:

Q: If n(A) 108, n(A U B) = 155, and n(A n B) = 43, find n(B).

A: Given: n(A)=108, nA∪B=155 and nA∩B=43.

Q: Given_n(A^B) =23___,_n (A) =46, n(B)=51, calculate n(AUB)=?_and enter your answer in the box…

A:

Q: Given that P = (3 -4) and Q = (-2 1)                          (7 6)                ( 0 5) Calculate:…

A: To Calculate:a) ½(P)b) 1/3(Q)c) 1/2(P) + 1/3(Q)d) ½(P) – 1/3(Q)e) 1/3(Q) – ½(P)

Q: 4 = 70, find n.

A:

Q: given that P(A or B) = 1/3, P(A) = 1/7, and P(A and B) = 1/8, find P(B) a. 101/168 b. 159/168 c.…

A: Concept of General Addition Rule: For any two events A and B the General Addition Rule states that:\

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

A:

Q: R(60)

A: Given ,  No. S R 1 20 1600 2 25 800 3 30 250 4 35 300 5 40 800 6 45 1400 Where, S…

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 n(A) = 44, n(B) = 15, and n(A n B) = 4, find n(A u B). %3D

A: Using the union formula we get:n(A∪B)=n(A)+n(B)-n(A∩B)=44+15-4=55

Q: If n(A) = 41, n(B) = 21, and n(A N B) = 7, find n(A U B).

A: We have to find the value

Q: (507)10= ... Select one: a. (377)8 b. (327)s c. (773)8

A: To change from decimal to octal binary system, divide by 8 ,write remainder from bottom to up.

Q: Evaluate (",) for n = 48.

A: Combination formula : nCr = n!/(n-r)!r!

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.