At a college of 600 students there are (n+5) enrolled in physics, (n+20) in Mathematics who play sports and (n-15) in chemistry and play sports. Create a Venn diagram to illustrate this information. Where n is your arid number

Q: In a “Pick-4” game, a player wins a prize for matching a 4-digit number from 0000 to 9999 with the…

A: Given: A player wins a prize for matching a 4-digit number from 0000 to 9999 with the number…

Q: lon of mtegradoM Sthe nte Shitch the and evaluate -2T -T

A:

Q: 21. Given that "( = "('3, the value of the integer n is 6 D 3

A: To find the value of n in the given problem, we use the definition of binomial coefficients.

Q: For the form, NYZ-ABC-XX, How many area codes would be possible if all three digits N,Y and Z could…

A: In this question, we need to find the code by using permutation.

Q: b. Assume that a prior survey suggests that about 35% of air passengers prefer an aisle seat. n= 207…

A: b. The sample proportion is 0.35, margin of error is 0.055, and confidence level is 90%. Computation…

Q: Find a reduction formula for ∫sinnxdx, n≥2.

A:

Q: For positive integers m > n , show that -2 + n- 1 -3 + ...+ n + n-1 n - 1 + in

A: The right-side of the given equation can be expressed as…

Q: ces to aCcess in When the following molecular equation is balanced using the smallest possible…

A:

Q: For the set D={}, determine n(D). n(D) = %3D

A: D= { } = empty set  n(D)= cardinality of set D

Q: 27. (xa is an odd number between and 9, inclusive}

A:

Q: determine the value of c(n,5) /p(n,5) where n can be any integer thats 5 or greater

A: Recall the following. Permutations Number of permutations of n things taken r at a time: pn,r=n!n-r!…

Q: Prove : (A-B)n C =(A n C) -B

A:

Q: How many 12-digit numbers have all their digits in nondecreasing order? For example, 266888 is a…

A: Let the twelve digits be d1,d2,d3, d4,d5,d6,d7,d8,d9,d10,d11,d12 from left to right. Let a1=d1…

Q: Jim was born in 1968. Martha was born in 1985; Suzie was born 7 years later and Pam was born 12…

A: Write the year of the birth of each member one by one and than match them.

Q: 2. How may rearrangements of the word BOOKKEEPER are possible assuming that (a) two E's appear…

A: Given word "BOOKKEEPER" The number of times O in word =2The number of times K in word =2The number…

Q: How many 4-digit numbers have all their digits in nondecreasing order? For example, 266888 is a…

A: Solution:- In the given problem, we will find how many 4-digits number have all their digits in…

Q: 1. Find a counterexample to show that each statement is false: The sum of three multiples of 5 will…

A: Counterexample is to show the statement false by proving some example is wrong with the statement.…

Q: Use the following diagram, with OABCD. (3x+5)° (4х-7)°

A: A quadrilateral is a polygon with four sides. A parallelogram is a quadrilateral with each pair of…

Q: Decide the behavior (AC, CC, or D) of . n=2 nVlnn nyInn

A: Absolutely Convergent:  ∑n=1∞ an  is called absolutely convergent if ∑n=1∞ an converges…

Q: In GL2(R), find the order of each of the following elements. (a) (b)

A: In the given question we have to find the order of the matrix s.t a=1-110 and b=1-101 in the group…

Q: the sol SO =-1 is

A:

Q: Find the order of 2 2; in C

A: Order is 8

Q: Find the number of divisors of n= 2020. %3D (а) 24 (b) 6 (c) 12 (d) None Answer B C. Submit

A:

Q: Which of the following situations illustrates combination?

A: Combination is one of the fundamental counting principles.

Q: (e) Show that every n ≥ 8 can be written as 3a+5b for some a, b € N.

A: Part e asked and answered.

Q: What is the fifty-fifth term of 1, -1, 1, -1, . A) o в) 1 (c) -1 D infinity

A: Given that: 1, -1, 1, -1, ....

Q: 2. The number of ways of arrangingr objects from n objects in order is called the number of . of n…

A: Given: The number of ways of arranging r objects from n objects in order is called thenumber of…

Q: Compute the following.(a) P6, 3. (b) C6, 3. (c) P12, 12. (d) C13, 13.

A: Permutation: The number of different arrangements of ‘r’ elements from a set of ‘n’ elements is…

Q: For n ≥ 2, let an=5n/n2-2 Determine for which n, |an|<1

A: Use the given inequality for an and find the quadratic equation for n and solve

Q: . Simplify the following circuit and draw the diagram of the resultina Pi P2 P1 P2 P1 P3

A:

Q: An employee of a car parts store was mistaken and saved the defective flashlights, along with the…

A: Probability quantifies the chances of happening an event. The probability values always lie in the…

Q: 3. Determine the nth-term formula for the number of square tiles in the nth figure. а. a2 a4 as b.…

A:

Q: For n≥2, let an= 5n/n2-2. Determine for which n, |an|<1.

A: Use the inequality on and find the inequality for n

Q: 2. A toy company sells 3-packs of sphere-shaped bouncy balls. If the company ships the three bouncy…

A: Finding the empty space in the given figure.

Q: A survey of 500 farmers showed that of the farmers 127 grew only wheat 112 grew only corn 92 grew…

A: The given information is represented in the following Venn diagram:

Q: In the figure below, all of the following are less than 1 EXCEPT: B 13

A:

Q: 10 Find t if y= lo08 lo98

A: Giveny=log 8(x2-104)=log (8)(x2-10)4Differentiate above equation with respect to x we get that…

Q: if m is odd and n is odd, demonstrate that m*n=odd

A:

Q: Compute the following. (a) P6, 3" (b) C5, 3- (c) P10, 10' (d) C11, 11"

A:

Q: (c) Show that for 2" > 4n for n ≥ 5.

A:

Q: Evaluate C,p (1-p)"-* for n= 6, p-0.2, x = 3.

A: Round to four decimals

Q: Determine the value of 'k' if the L[ tk4t ] = 1/(s² - bs + 10).

A:

Q: If n is 0 what is 8n

A:

Q: 8. Prepare a 2x2 table from the following information, calculate Yule's Coefficient of Association…

A:

Q: The number of generators of Z15 is 7 9.

A: ℤ15 is a finite group.we have to find the total number of generators in ℤ15

Q: Find m/PQR.

A: Given,           The figure is shown below :

Q: 2 n (2k + n)2 k=2

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: 4. Give the other possible appropriate names for 2. M

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

Q: Which of the following statements are true (as n gets large or n → 0)?

A:

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.