of the apples is equal to 3 of the oranges. If there are 12 mor 5 In a fruit stall, - - annles than oranges in the stall, how many fruits are there altogether?

Q: In(z,) – In(-V3 – 1) = -In(2) – 1

A: given the argument ∅ of the complex number -3-i as -5π6.and also the modulus of a complex number say…

Q: 11. If a = y2 and b = y, and -1sys3, then what is the largest possible difference between a and b?…

A: Please refer the attached image for complete solution.

Q: (4) Prove in two different ways that if a is a positive r number, then (a + 1)" > a" + na"-1:

A:

Q: Suppose that an experimenter tossed three balanced coins. He defined X₁, to denote the number of…

A:

Q: Solve for n if nP, = 6nP,, where P means permutation.

A: Formula of permutation: Prn=n!n-r! We are given that P5n=6×P3n So, using the formula:…

Q: Find the product and addition of the approximate numbers x, = 32.452 and x, = 24.3595 all of whose…

A: x1=32.452 and x2=24.3595 To Find: a) Product and addition of the approximate numbers. b) Relative…

Q: 15, If neZ, then nº +3n +4 is even. (Try cases.) ho bn 6. If two integono

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Q: It reguired to seub 4 boy s and 6girls in a row so thab Ehe girls acev py the odd places How many…

A: Given: There are 4 boys and 6 girls  Girls occupy odd places

Q: Pre cout of loo Finol cout of 63 200 130 Indicidual Individual 137 Individual 3. Indiidual 56 139 17…

A: A scatterplot is a nonmathematical measure of studying the relationship between the variables. Here…

Q: In a class of 40 students 25 speaks hindi and 15 speaks both english and hindi. All students speak…

A: Given Number of students speaking Hindi ,n(H)=25 Number of student speaking both English and Hindi…

Q: S. Gives 4. Prove mADC-ABC D.

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 3. cooficiant af z" in the apransion 3)11

A: From the Binomial Expansion

Q: If In elnx - = In (x – 4) = In2, then x %3D

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Q: For all intgars a, if 615a, thenbla

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Q: Reject Ho if |z| > N

A: We know that  Null hypothesis H0. Alternative hypothesis H1.

Q: How many counterexamples are needed to prove that a statement is false?

A: Suppose P(x) be the statement.

Q: Given 21 = 3+j4 and 22 = 6+ j8, compute 21 а. 22 21 + z2 b. 2122

A: Note the algebraic result of complex number:    Convert into standard form where . Multiply…

Q: Find the probablity that in one day, the student is studying a. less than I hour b. between 2 and 3…

A: The random variable X be the total number of hours spent by a student to study The probability…

Q: 2. Show that div r = 3 %3D

A:

Q: Suppose the product of 22 integers is equal to 1. Prove that their sum is not equal to 0.

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Q: ist of at least one woman is

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Q: 2. Show that p q is congruent to (p - 4)A .

A:

Q: Prove that 3:8 is equivalent to 12:32

A: According to the question, we have to prove that the ratio 3:8 is equivalent to 12:32. A ratio is a…

Q: A survey of farmers showed that of the farmers, 126 grew only wheat, 111 grew only corn, 93 grew…

A:

Q: Prove that R(5, 5) < 50.

A:

Q: 6) Write a two column proof. Given: OSTUV Prove: AVXS = AUXT

A: We can prove same as below

Q: on 'N" en Prove Delween Aborms is lenre equala bub

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Q: . Use a two-column proof to prove the equivalence below -(PV-Q) v (-P A-Q) = ¬P

A:

Q: We need to attempt to find an exact value of n such that  P(r ≥ 6) = 0.98. Clearly to guarantee…

A: We have to fill blanks from given statement Clearly to guarantee at least six people are literate,…

Q: If in a AP the sum of m tern=ms is equal to n and the sum of n terms is equal to n ,then prove that…

A:

Q: Which condition would prove ΔDEF ∼ ΔJKL?

A: Given problem is : Which condition would prove ΔDEF ∼ ΔJKL?

Q: 2. Prove ΣΫ; = Y 3 Prono ΓΥΠ |

A: Let X be a Random variable with a Probability density function or probability mass function f(x)…

Q: 8 of 22 If č = (-3, –5) and d = (-2, –6), find |47 – 2.5d|. V74 O 8/6 O 7/5 146

A:

Q: 7. Retermine whether the two *= 13 (mud 23) and x'= 15 (med) solvable . are

A: 7) as per our norms we have to write one question at a time kindly repost remaining questions.

Q: Supplemer 5) 90° Supplement of 90° = %3D B) State whether the given pairs are supples 1) 24°, 156°

A: We have to find the supplement of 90°  And state whether the Given pairs are supplement. 24° , 156°

Q: The sum of n,2n,3n terms of an AP are S1,S2,S3 respectively ,Prove that S3=3(S2-S1)

A:

Q: O Given 20 balls of different colors and 10 bananas, find the number of ways to distribute i-The 20…

A: As per Bartleby guidelines, we are advised to answer one question at a time, I have given you the…

Q: If two rows of A are interchanged to produce B, then det(B) = –det(A). \\ Big True fals e

A: We use properties of determinant

Q: what is the value of in 1

A:

Q: In (R, Tu), if A = (1,3) n (Q – Z) then - - A =

A:

Q: Prove the soquen enat 2efin ea For n EIN Conv e

A: Introduction: When each term of a sequence is greater than its previous term, the sequence is…

Q: 2. The probubility of a new antivunl medication successfully curing patients was found to be 0.77.…

A:

Q: the pth term of AP is a and the qth term is p,prove that it's nth term is (p+q-n)

A:

Q: Suppose that p is a prime number greater than 30. Prove that when p is divided by 30, the remainder…

A:

Q: Prove that 2 divides a if and only if 2 divides ao. Prove that 4 divides a if and only if 4 divides…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub- parts for…

Q: How large a subset of the integers from 1 to 50 must be chosen to guarantee that one of the numbers…

A: We have to determine How large a subset of integers from 1 to 50 must be chosen to guarantee that…

Q: i prov

A: Given, -a+b It is proved using axioms of real numbers.

Q: Find the positive integers n such that , the sum of positive divisor oln) = 24,

A: Sum of Divisors: Let the prime factorization of n be n=p1a1×p2a2×...×pkak Then the sum of divisors…

Q: If p,q,r are prime number but p is not equal to q, then what is gcd(p,q)? If p|rq, prove that p|r…

A: Given that p, q and r are prime numbers and p≠q.