A committee of 3 is being formed randomly from the employees at a school: 5 administrators, 30 teachers, and 12 staff. What is the probability that all 3 members are teachers? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

Q: 2. Choose the best answer. Choose the correct graph that sketches f(2) > 4 and g(z<S+ log, with the…

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Q: Use the remainder theorem to find the remainder when f(x) is divided by x-2. Then use the factor…

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Q: For an exponential function f(x) = ab, changing the value for will change the y-intercept. %3D

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Q: A population of bacteria is growing according to the equation P(t) = 650e".22. Estimate when the…

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Q: If the demand equation for an item is D(x) = -5.0x + 80 and a supplier is willing to supply 10 items…

A: Given problem:- If the demand equation for an item is D(x) = -5.0x + 80 and a supplier is willing to…

Q: Let T : R? R³ be linear transformation. Assume we already know T(1, 2) (1,2, 3), and T(3, 4) = (4,…

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Q: Problem 4. Let PoP Pn-1 be a regular polygon inscribed in a circle of radius 1. Prove that: a) Po P1…

A: a) Regular polygon has all equal sides and angles. Given that P0P1....Pn-1 is a regular polygon. It…

Q: QUESTION 9 Find the values of a, b, c, and d in the matrix equation below. a b 2 1)T 2 3 -2 4 5 -4 a…

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Q: The cost C of purchasing chocolate-covered crickets varies directly with the weight W in pounds.…

A: Follow the procedure given below.

Q: A part time student hopes to have $20,000 available for a down payment on a house when she graduates…

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Q: Solve the following system for x, 3x2-9x-y+7=0 4x2– 12x+y-7= 0 O a. x=0 and x-3 O b. None O c. x=0…

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Q: A personal account earmarked as a retirement supplement contains $242,100, Suppose $200,000 is used…

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Q: 9. Complete the table. log, a 49 -1 -2 b.0 c. 7 d. 1 e. 2 f. 49 g. h. 1/2 1/719

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Q: Write the polynomial in general (or standard) form. Then identify the degree, the name using the…

A: 1.5x2+6x3-5x2.5x3+4x-8-x2+13x-83.multiply 3x-3 and x-2 Note:    Multiple subpart are given, we are…

Q: Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree 4; zeros:…

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Q: 1 2 . Test matrix A = 3 for diagonalizability, and if A is diagonalizable, %3D 2 -4 2

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Q: Par Putters Company sells golf balls for ​$33 per dozen. The​ store's overhead expenses are 43​% of…

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Q: Find the sum of the geometric series with 4+12+36+108.., n=8 13120 13020 14037

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Q: 1+1

A: 1+1= 2

Q: 11 What is the 21st element in the one-dimensional array A[11], A[12]..., A[45]? O A[30] O A[20]…

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Q: Solve for the determinant using Cofactor Expansion Method only. 1 3 5 1 4 3 7 A = 2 4 6 8 5 7 3 6 7…

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Q: Some values for an exponential parent function fx are provided in each graph below. Answer each…

A: Let's find.

Q: Find the complex zeros of the following.polynomial function. Write f in factored form. f(x) = x* +…

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Q: Question: Find the values of r and s for which this matrix 0 r- 2 has rank 0 s-1 r+2 3 2.

A: Let's find.

Q: LET G= R\{-1}. Define * on G by a*b = a + ab+b. Find the solution the solution equation 3* x * 2=23…

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Q: Factor each polynomial. Confirm your answe graphing calculator. Exa 12. x2 + 17x + 42 13. y? – 17y +…

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Q: Question no. 1 Find the possible flows in each of the following networks of pipes. 600 500 X3 X4 600…

A: Question 1. Find the Possible flows in each of the following networks of pipes. Now, Possible Flows…

Q: Find the volume of the rectangular prism. 1 2, yd 5 yd 42 yd

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Q: Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree 4; zeros: 4,…

A: f(x) is a polynomial with real coefficients degree=4roots=4,4,2iSince the coefficients are real…

Q: Match each angle in standard position with its reference angle in standard position. a. 74" 74 254…

A: We need to match angle in standard position with its reference angle in standard position.

Q: For #5-6, find each product using the method of your choice. Write answers in general form. Show…

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Q: [2 11 Find the determinant of matrix -1 0 3 by using 1 2 0 (a) cofactor expansion, (b) properties of…

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Q: A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle…

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Q: Antionette Exp An International company has 12,100 employees in one country. If this represents…

A: We can solve as follows

Q: What is the equivalent degree measure for the angle 29n/36?

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Q: Let W be the set of 2x1 size matrices v=| y W is closed under scalar multiplication. Select one: O…

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Q: Let {ej, ē2, ē3, ē4, ē5, ē6} be the standard basis in R°. Find the length of the vector a = 5e1 +…

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Q: 1 and g(x) 2 Let f(x) 5x + 3. - Then (f o g)(2) (ƒ o g)(x) =

A: Given query is to find the Indicated component function.

Q: 6. In (x + 8) + In (x – 1) = 2 In x 7. log3 (log, x) = 0 8. In V = Vĩn x

A: We can solve this as follows:

Q: solve the exponential equation by using the property that b^x= b^y implies x=y, for b>0 and b≠1.…

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Q: Show a solution with an explanation of the following question. A barge is being pulled by two…

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Q: 11. Prove or disprove: if a relation R is transitive, then R-1 is transitive.

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Q: Example: Evaluate the function for the given values of x x+7 for x < -2 x2 for-2sxS1

A: Topic:- function

Q: 2. Change the following equations from vertex form to standard form by expanding and simplifying.…

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Q: The fox population in a certain region has a continuous growth rate of 5 percent per year. It is…

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Q: x2 – 4x – 8 = 0 -b+ vb2 – 4ac Quadratic formula 2a 2 4

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Q: General Instructions: m. Write all your answers in a clean sheet of bond paper. n. Show all your…

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Q: The cost of an item to a store is $370. The store's overhead expense is 13% on cost and the store…

A: Let's find.

Q: Solve the quadratic equation by completing the square. 2- 18x+ 68=0 First, choose the appropriate…

A: Given quadratic equation x2-18x+68=0 Divide the coefficient of x by 2: i.e., -182=-9 Now, square…

Q: O LINEAR EQUATIONS AND INEQUALITIES O 13 Tamara V Union and intersection of intervals Español B and…

A: The objective is to find union and intersection of the set B and C.