Delaney is about to take a final exam that consists of 20 questions. To motivate her to study, her parents promised her $500 if she gets at least 17 questions right. The questions are multiple choice and the probability of her getting a question right is 0.75 on each question of the final exam. What is the probability that she gets exactly 17 questions right? What is the probability that she gets at least 17 questions right?

Q: 6-7:

A: 6-7=-1

Q: Definition 3: Let X be a subspace of Rn and let X be the set of all vectors in R" that are…

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Q: Count and describe the subgroups of index 3 of the group Z+ × Z+.

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Q: 5. Definition 4: Matrix WE Rnxn is said to be normal if WTW = WWT. (a) Prove that if A is a…

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Q: A coin is tossed 10 times. Find the probability that the number of heads is exactly five. The…

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Q: 3 Look at the boxed result on page 417. Now determine which of the following improper integrals…

A: It is already known that: ∫1∞kxndx : converges if n>1. diverges if n≤1. Here, k, n are…

Q: Problem 3. Determine the kernel and range of the linear operator L: R³ R³ given by L(x, y, z) = (x,…

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Q: of the function f(x) =e* the value of e 0.2 2. Use the linearization at a=0 to approximate

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Q: A bicycle factory runs two assembly lines, A and B. 97% of line A's products pass inspection and 95%…

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Q: smallest such k is called the index of nilpotency of N. (a) Show that if a matrix N is nilpotent,…

A: A matrix N is said to be nilpotent if Nk =0 for some integer k.

Q: Find the coordinates of the wedge product a ^ b^c for a = = (−3,−1, 5, -7), b = (-5, 7, 6, 3), =…

A: Here, We have to find the wedge product  The details calculation is given below

Q: Prove that every minimal dominating set in a graph G 26. is a maximal irredundant set of G.

A: Given that, Every minimal dominating set in a graph G is a maximal irredundant set of G. We have to…

Q: Find the equation of the line drawn through point (1, 0, 2) to meet the line angles. x+1=2=2+1 at…

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Q: The initial size of a culture of bacteria is 1000. After 1 hour the bacteria count is 8000. If the…

A: In the give question to determine the time required for the bacteria to grow to 15000, first we have…

Q: This extreme value problem has a solution with both a maximum value and a minimum value. Use…

A: Given function is fx,y=x2+y2+z2 and contraint x4+y4+z4=7. To Find : Extreme value of the function…

Q: What is one of the biggest advantages of having 4x4 matrices representing the transformations?…

A: As  we know that 3d transformations can be modelled using 4×4 matrices. So the biggest advantage of…

Q: Chapter 2, exercise 11.1: Let x be an element of order r of a group G and let y be an element of a…

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Q: Determine whether the table could represent a function that is linear, exponential, or neither. If…

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Q: Use the Laplace transform to solve the given initial-value problem. y" + 3y' = 8(t - 1), y(0) = 0,…

A: Given,       y''+3y'=δt-1,  y(0)=0, y'(0)=1.

Q: a. Find the open intervals on which the function shown in the graph is increasing and those on which…

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Q: A volume is described as follows: 1. the base is the region bounded by y - 2. every cross section…

A: Answer :- On graphing we get

Q: What is the transformation given by the following matrix 1000 0 1 0 0 0 0 -1 0 0001 Reflection about…

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Q: Determine whether the following statement is true or false: If both matrices A of the size 6 x4 and…

A: False

Q: (x - y)y' - 2y + 3x + == 0 ; y(1) = 5 + X² = 0 X

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Q: Chapter 2, exercise 11.6: Let G be a group that contains normal subgroups of orders 3 and 5,…

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Q: C. Write down a sequence for the number of shapes/dots in each pattern. Explain how to obtain the…

A: 1)

Q: Find the centroid of the region bounded by the given curves. y = x², x = y² (x, y) =

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Q: a) Let 3-4 5 B-2 4-1 00 S be a nonsingular matrix. Then find the values of s using row operations.…

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Q: Polar Area. The graph of the polar function 3 +2²2 +2=²2COS (0) 1 +=cos 24 r = (shown at the right)…

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Q: Determine the properties of the system described by: a. y[n]=nx[n]

A: Answer :-

Q: Prove that A°= A - Ab.

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Q: (c) Given that the subset L= {1,-1, i, -i} of complex numbers is a group under multiplication, find…

A: Given: L=1,-1,i,-i is a group under multiplication. To find: Identity  and inverse of each element…

Q: On the Richter scale, the magnitude M of an earthquake depends on the amount of energy E released by…

A: If log a=b, then a=10b. The equation is provided as: M=23logE1011.8.

Q: 11.[2] Show that vectors A = 4ax - a₂, B = ax + 3ay + 4az, and C = -5ax 3a, 3az form the sides of a…

A: We know that if the vector form sides of triangle then A→+B→+C→=0 Given,…

Q: A Norman window is constructed by adjoining a semicircle to the top of a rectangular window, as…

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Q: Question 2 a Let 3-4 5 B= -2 4-1 00 S be a nonsingular matrix. Then find the values of s using row…

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Q: find the inverse function for the following function(those are all bijective func- tion) (a) f(x) =…

A: Note- Given that All function are bijective.

Q: Use Euclid's algorithm to find gcd(340, 144). Hence find Icm(340, 144). [Show your working.]

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Q: homomorphism If f is a of a group G into a group G'with kernel K. let a € G be such that f(a) = a' e…

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Q: Let A E Cnxn and let XC Cn be a subspace of Cn. Recall that is said to be an A-invariant subspace if…

A: As per the question we are given a matrix A ∈ Cn×n and we have to show that : (A - λI)l • A = A •…

Q: Suppose b is changed to b' . How large relative change can this change produce in the solution to Ax…

A: The given matrix is, A=1112501-12,  and b=123. To Find: The maximum change in the solution of the…

Q: lim n4x lim n4x Calculate the following limits, or explain why they diverge. √2n²-n +3 3n + 4 n² + 1…

A: The limit of a sequence is the value the sequence approaches as the number of terms goes to…

Q: Problem 4 Find the Fourier coefficients a, and ak of the following waveform X(t)=2t 0<t<1 -2 -1 x(1)…

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Q: Gross Federal Debt as a Percent of Gross Domestic Product for the years 1940 through 2010 140.0…

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Q: Apply the inverse power method to approximate, for the matrix A , the ei­genvalue that is smallest…

A: Given : A=310131013 , x0=111 , k=6 To find : smallest eigen value.

Q: A subgroup H of a group G is a normal subgroup of G if and only if, every legft coset of Hin G is a…

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Q: Estimate the volume of the solid that lies below the surface z = xy and above the following…

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Q: y+1 Z Find the acute angle between the lines 1 m n and 1, m, n are the roots of the cubic equation…

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Q: Find general solution which starts at (x, y₂ 3) = (R₂0₂0) at t=0.

A: Please find the attached solution

Q: Audrey has graduated from college. She wants to rent an apartment for $400 per month. She already…

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