Solve the following problems using a Venn Diagram. 1. In a group of 50 students, 18 are taking Literature and 29 are taking Statistics If 8 are taking both Literature and Statistics, how many students are: 14 a. taking Literature only? b. taking Statistics only? c. not taking Literature nor Statistics?

Q: a) (4 – 3i)(4 + 3i) => b) (4 – 3i)(1) => c) (6i)(4 + 31) =>

A: Note: As per company policy we are supposed to solve only 3 subparts. So, kindly repost other…

Q: 9. Emily spent two thirds of her money. Then she lost two thirds of the money that was left. Four…

A: Let the money that Emily has is x dollarsShe spend 2/3rd of her…

Q: Robert borrowed Php 57,000 from a lending institution that charges 2.5% compounded every 4 months.…

A:

Q: The general solution to: y'' – y' + 4y = 0 %3D is: y(x) = %3D Typle c_1 and c_2 to get c1 and c2 and…

A: We have to find the solution

Q: Given the two circles x² + y? – 4y + 3 = 0, x? + y? – 2x – 4y – 4 = 0, we can say that O (a) they…

A: In this question we have to find correct option. Option e is correct.

Q: 6. How many posts does it take to support a straight fence 200 yards long if a post is placed every…

A: total strait fance is 200 yard after every 20 yard there is one post so total post required is…

Q: A normal distribution has a mean of 76 and a standard deviation of 4. Determine the z-score for the…

A: To find z-score  for the data value of 88.

Q: The formula is y= s^3√ r/t^3 with s representing the constant variation, where y=6 when r=27 and…

A: Given :

Q: Let W = {(" ):a+ 2c = 0 andb-d 0} be a subspace of M22. %3D Then dimension of W is equal to: O 1…

A: The solution is given in the next step.

Q: Assume that the situation can be expressed as a linear cost function. Find the cost function in this…

A:

Q: Let Vbea vector space with dim()4Consider the following statements . (n.n.n.abasis for V. 2.…

A: Statement 1 and 2 are correct

Q: Let W = 3{():a,beR with the standard operations in Ma3. Which of the following statements is true? O…

A: Given

Q: 3. 4ln(Arctan x) = 1- y

A: To find out the double derivative.

Q: Solve for x and y in the matrix equation below: [3 4 y x-y 4 2 [10 3 -1] 3 3 -1] 1 2 -1 4 x -8 2 бх…

A:

Q: Use the method of linear programming to solve the problem. Pete's Coffees sells two blends of…

A: how many pounds of Morning Blend and of South American Blend should Pete's Coffees prepare each day…

Q: Let A be a 7x6 matrix such that Ax = 0 has only the trivial solution. What is the rank of A? А. 6 В.…

A: We will find the rank of the matrix

Q: Solve the inequality. 3x–9 < 3 Enter the exact answer in interval notation. To enter , type…

A: This question is related to inequality, we will solve it using given information.

Q: number of students attending summer school at a local community college has been decreasing each…

A: Given query is to find the number of students after 5 years.

Q: How many solutions are there to a system of linear equations if the lines are perpendicular and they…

A:

Q: Use the graph of the absolute value function to determine the following. Assume that the graph of…

A: This question is related to Functions, we will solve it using given information.

Q: Let M = { : 9-6 ¿ 6:9C: 9C : } Then M is a basis for None of the mentioned M2,3 O the above M3,2 O…

A:

Q: Let m be a real number and M = {( -2/ If M is a linearly dependent set of M22 then O m=1 O None of…

A:

Q: Question 14 Becky is a corporate account manager at a company that sells athletic equipment to other…

A:

Q: 3. Nina stands 15 meters from a building and formed a 75° angle of elevation to its top. How high is…

A:

Q: Graph the functions below. Label any x and y intercepts, local or absolute maximum and minimum…

A: Answe: As per mentioned , the solution of 34 is as given below:

Q: E A ABC is an isosceles triangle (AC = BC) %3D Area of DBC = 2 X area of ADC If DF = 7 cm Calculate…

A: To find the length of DE using the given conditions.

Q: Let M = {(, Then M is a basis for M3,2 O None of the mentioned O the above M2,3 the above

A:

Q: True or False: Borrowing money and repaying debt results in changes in Net Worth. Select one: O True…

A: We will find the right solution.

Q: Let M = (a € R: a > 1}. Then M is a vector space under standard addition and scalar multiplication…

A: Solution is

Q: 10. The organizers of an essay competition decide that a winner in the competition gets a prize of…

A:

Q: The Catalog Store has data indicating that, when the price of a CD bookcase is $135, the demand…

A: topic -linear equations

Q: 33) p

A: To find out the number of cases after 50 days.

Q: Let M = {x + 1,x² – 2,3x}. Which of the following statements is true about M? M spans P3 M spans P2…

A:

Q: Set Notations A. Write in Roster Form: 1. The set of whole numbers (W) from 25 to 25 2. The set of…

A: 1. Whole numbers are 0, 1, 2, 3, ... There are no whole numbers from 25 to 25. Because 25 itself is…

Q: 10. Determine the absolute minimum points given the function at the close interval [a, b] g(x) %3…

A: Given that g(x) = (x+2)^3 -1.   , [-3,0] g'(x) = 3(x+2)^2 Putting g'(x)=0 =&gt; 3(x+2)^2 =0 =&gt;…

Q: 2. Suppose that you buy a rare stamp for $15, sell it for $20, buy it back for $25, and finally sell…

A: Given : Buying Price (B1) = $ 15 and Selling Price (S1) = $ 20 Buying Price (B2) = $ 25 and Selling…

Q: 3. The distance of a building to a car is 25 meters. If the angle of depression from the point where…

A: As per bartleby guidelines we only give first question answers.

Q: Let k be a real number and (M) be the following system. (x +y = k – 1 (M): 2х + у %3D 0 Using…

A: We can solve this as follows:

Q: -x 7x+14 What value of x satisfies the matrix equation 3x-2 5 x+8 5

A: The matrix equation,          0-x3x-25=07x+14x+85T

Q: 2. The third term of an arithmetic sequence is x and a, 19x + 6. Find the twelfth term. %3D

A: Given :Third term of an arithmetic sequence : xa6=19x+6

Q: The value of a brand new car is $16, 000 and the value depreciates 18% every year. Write a function…

A: answer is in next step

Q: lan tosses a bone up in the air for his dog, Spot. The height, h, in feet, that Spot is above the…

A:

Q: Alex can clean a dorm room for the College in 8 hours working alone. When Alex works with his best…

A:

Q: Let W = (1+ ax + bx² E P a, bE R} with the standard operations in P. Which of the following…

A:

Q: 64- 1 0 r- 2 2 What are the values for r and s for which has rank 2? s - 1 r+2 O A. r = 2 and s = 1…

A:

Q: Differential Equation - feel free to use any method you prefer Solve the following differential…

A:

Q: 6. My mother is 12 years more than twice my age. After 8 years, my mother's age will be 20 years…

A: lets current my age is x  current mother age is 2x +12 after 8 year  my age is x+8 mother age 3(x…

Q: Using the key features of rational functions, fill in the blanks. 2x-1 f(x) : x+4 Domain Range…

A: The domain of a function is the set of all possible inputs for the function. The range of a function…

Q: Compute the indicated matrix, if possible 5. A-0 -3 32-2 D= 11 4. Find 4A +D. Select the correct…

A: Given query is to find indicated matrix operation.

Q: Which picture shows the graph of the function 十+ 22 if a 0 D) f (æ) ={ C

A: Given problem:- f(x) = -x2  if x≤0  and  f(x)=x if x&gt;0  Find graph of f(x)