A bag contains x red paper clips, (x + 4) blue paper clips, and (3x– 11) white paper clips. a) Find the total number of clips in the bag in terms of x. b) A clip is drawn at random from the bag. Find the probability that the clip is blue. c) If the probability in b is ;, find the value of x.

Q: Assuming a group has one uniform rate, 40% of the group receives a 10% rate increase and 60% of the ...

A: We will consider that the group has total 100 members and each member of the group has a uniform rat...

Q: The functions f and g are continuous and differentiable with f(x) = g'(x). Selected values of the fu...

A: To approximate the average value of g(x) over the interval [3,11]

Q: The topic is algorithms and analysis so the proof should be along those lines I think. Thank you! 2....

A:

Q: 1. Consider a sequence that begins with 1, 4, 8, Explain why each of the following could be the next...

A:

Q: 6. A solid occupies the region above the cone z = Vx² + y² and inside the sphere x² + y? + z² = 4 fo...

A: Introduction: Triple integral is used to find the volume of a solid bounded by curves. There are man...

Q: There were 600 students who answered a transportaion survey. Of those surveyed, 159 said that they o...

A: Let U be the set of total students who answered a transportation survey. A be the set of students wh...

Q: The swimming pool can be filled with water in 10 hours using 6 hoses. How many hoses are needed if y...

A:

Q: 19, 2, 9, 5, 27, 6, 1, 7, 12, 15, 18 wisker plot

A:

Q: |a 0 |1 5 11. then A? = B if a = ? If A = 11 11 and B = 15

A:

Q: A sports store sells tennis racquets of six different prands: Wilson, Prince, Babolat, Dunlop, Yonex...

A: There are 6 brands we need to select 4 brands Out of the 4 brands Wilson or Prince should always be ...

Q: Simplify: i29 + i?1 + i2050 in form a + bi.

A:

Q: 6 - Solve the following Intial Value Problem using the Taylor method series of order 2 in the interv...

A: Given initial value problem is y'(x)=sin(x),   x∈[0, π]y(0)=1 Number of subinterval is n=4 So step s...

Q: The cost C of manufacturing transformers in a factory varies with the output N per day according to ...

A:

Q: If F(x,y,z)=1i+2j+3k, then O1. P=1 Q=2 and R=3 are vectors of F. O II, P=1 Q=2 and R=3 are gradient ...

A:

Q: ind all the local maxima, local minima, and saddle points of the function shown below. 2 f(x,y) = 7 ...

A:

Q: Detremine the Inverse Laplace of the ff: F(s) = 2s - 1 s2 + 4s + 8 show complete solution

A:

Q: Solve for x F 56 15cm

A:

Q: 1.) Interpret: For each polynomial function: sketch a graph, describe the end behavior, determine th...

A:

Q: Solve the following differential equation using determination of integrating factors: 2y (x2 - y + ...

A:

Q: 5. Determine whether the given pair of graphs is isomorphic. u2 v2 V3 V4

A: The number of vertices in graph 1= 8 The number of vertices in graph 2 = 8  The number of vertices i...

Q: Assume that when human resource managers are randomly selected, 48% say job applicants should follow...

A:

Q: If the bank advertises its rate as 6.2% compounded monthly, and another bank advertises its rate as ...

A: Given:  Bank A gives the rate of interest at 6.2% compounded monthly. Bank B gives the rate of inter...

Q: 6. Let f: A R be a continuous function. Show that if A is compact then sup f(A) e f(A).

A: Sup(A) under the continuous function

Q: 12. Let A be a 3×3 matrix, and suppose that the matrix B is obtained from A by the following row ope...

A: Remark: Effect of elementary row operation on a matrix: If two rows of a matrix are interchanged, th...

Q: Determine whether x= (0, ,0) is an optimal solution to the following linear program. maximise 3x1 + ...

A:

Q: Equahon: Anawer: 52%/ao

A: Cosine angle in right angle triangle

Q: 1 Sketch the following four vectors: Let A = -2 -3 2 -2 • Aui • Auz Based on your sketch, which vect...

A:

Q: Ursula polled her classmates to see what their favorite kinds of juice were. Eight times as many stu...

A: Solution

Q: Find a and b such that v = au + bw, where where u = (1, 2) and w = (1, –1). %3D %3D = (0, 6) V = a b...

A:

Q: A cylindrical hazardous waste container has a diameter of 1.5 feet and a height of 1.6 feet. About h...

A:

Q: Solve 4x2 = 4x + 15 by factoring. %3D

A:

Q: Question 1. Consider the second order partial differential equation (1) for an unknown real-valued f...

A:

Q: In Figure below, what is the electric potential on the moving charge +10microcoulomb due to a source...

A:

Q: 18. Show that every base 7 palindromic integer with an even number of digits is divisible by 8. 19 D

A:

Q: 2. Reduce to the form a + bi: d. sinh (3 + 4i)

A: To reduce sinh(3+4i) in the form a+bi.

Q: Which of the following is NOT proportion? * A. 25:100= 1:4 B. 7:8= 21:24 C. 9:12= 3:4 D. 13:26= 1:3

A:

Q: 1. Let E be the region bounded by the plane z = 0, above by the sphere x + y + z² = 4 and on the sid...

A:

Q: Fourier Series: f(x)= -x/π+ 1  ,  [- π, π]

A:

Q: Ramon is 5 feet tall while Carlo is 5 feet and 10 inches tall. If Ramon casts a shadow of 6 feet 6 i...

A:

Q: Solve the following system of congruences. By using Chinese Remainder Theorem X= 5 (mod 6) X = 4 (mo...

A:

Q: Included below is an adjacency list for a graph with vertices named 0 through 9 (inclusive), represe...

A: Given- Included below is an adjacency list for a graph with vertices named 0 through 9 (inclusive), ...

Q: 4-Jen draws two points, one at (-5v3,5) and the other at (-1ü, -1uv3). She then draws line segments ...

A: The complete solution is in given below  

Q: Match the graph of h(x) with the appropriate transformation of the given function, g(x). 1아 g(x) -10...

A: The graphs of gx and hx are given. Note that the graph of hx is obtained by shrinking the graph of g...

Q: Determine the total amount of a loan of $5400 at a simple interest rate of 2.1% for 8 years.

A: We have to find the total amount of loan at a simple interest. We know that in a simple interest, th...

Q: |1 3 1 1 1 1 3 1 Find the determinant 1 1 1 3 3 1 1 1

A:

Q: 7. Solve the recurrence relation A, = 4 A2 - 3.A1 subject to the initial conditions A, = 5 and A, = ...

A:

Q: Зх — 8 If 3 = 0, then x = ? 3 3 Зх— 8 | 3 Зх — 81 3.

A:

Q: | 4 2 0 1 -3 |0 0 -2 3

A: We find all eigenvalues of this matrix.

Q: A rich man died leaving P500,000,000 to his children, two boys and one girl. His last will said that...

A: This is a problem of counting.

Q: 44m Answer:

A: