Katie got a 68 on her first exam and an 83 on her second exam. At a minimum, what score does she need on the third exam to average at least an 80 in the class? (Assume that all exams are worth the same percentage of the total grade.)

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A: a)Deck consists of 52 cards n(s)=5 Let E be the event that number is 9 n(E)=4 P(E)=1/13

Q: Problem 6. Suppose (X₁, X₂) have joint density (1₁,1₂)= [6x₁1² 0<x₁ <1,0< x₂ <1 0 otherwise. a) Find…

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Q: cash($) freq 1 1 5 6 20 10 44 1 985 1

A: A random sample of 20 students; n=20 The frequency table is Cash Frequency 0 1 1 1 5 6 20…

Q: 5) Rufus collected 100 pounds of aluminum cans to recycle. He plans to collect an additional 25…

A: Rufus collects aluminium to recycle = 100 pounds he plans to collect additional 25 pounds each week.…

Q: For the following, find the real zeros of f. Use the real zeros to factor f. f(x) =x +9x- 25x – 33…

A: Since,given polynomial is of degree 3.so total number of 3 real zeroes are possible.

Q: During one shift, the express lane clerk recorded how many times customers violated the "10 items or…

A:

Q: Use the roster method to list the elements in the set: The distinct letters of the word "senses".…

A: List the elements in the set.

Q: 6. Consider the differential equation y' = y + 2x with y(0) = 1. (a) Find a closed form of the…

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Q: Golf Club Members Ages 11 10 9 8 7+ 6 Number of 5 People 4 h 3 2 1+ 16-20 21-25 26-30 31-35 Age A…

A:

Q: H. Solve the following: 1-a. Solve for unknown b. Find the six trigonometric ratios (hint: one leg 1…

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Q: The table below shows scores on a Math test 60 | 80 60 | 60 80 70 60 60 90 90 90 90 90 50 80 60 100…

A:

Q: 9. An ecosystem containing two species is modeled by the system of differential equations given…

A: Given as dN1dt=0.15N11-N150-N250dN2dt=0.05N21-N275-N175

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A:

Q: To determine the effect of beta-blockers on the pulse rate during surgery, 60 available subjects…

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A: Given that,  The ceiling is half of an ellipse. the top half and the  loci will be a line between…

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Q: the number (n) of bacteria in a colony after h hours is given by the formula n = re are 1200…

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Q: Find the median for the following data: Years of Experience Number of Employees 1 17 2 6 3 4 4 5 2

A: The given data set is, Calculation of cumulative frequency:

Q: manufacturer claims that their new hybrid model can travel an average of 50 mil Otest this claim, a…

A: Given,population mean ( µ ) = 50sample size (n) = 20sample mean (x̄) = Σx/n…

Q: 8. You are given: (i) Claim counts follow a Poisson distribution with mean 0. (ii) Claim sizes…

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Q: Consider a value to be significantly low if its z score less than or equal to -2 or consider a value…

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Q: Find the indicated nth partial sum (Sn) of the arithmetic sequence 20.0190 a) 8, 20, 32, 44... n=10…

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Q: 1) Two schools are represented by points A(2, 20) and B(14, 24) on the graph below. A road…

A: The product of the slopes of two perpendicular lines is -1. The distance(d) between two points: x1,…

Q: A fifth grader takes a standardized achievement test (mean = 125, standard deviation = 15) and…

A: Mean()=125standard deviation()=15Scores=148

Q: median = mean = standard deviation = people people people

A: Given: Population size, N=23 Population 32014 11461 33698 15639 12052 5887 35804…

Q: Use the Empirical Rule to find the following probabilities. It is suggested that you draw a normal…

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: 3) There is an equally likely chance that a falling dart will land anywhere on the rug below. The…

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Q: 5) A dice game involves rolling 2 dice. If you roll a 2, 3, 4, 10, 11, or a 12 you win $5. If you…

A: Let, X = sum of outputs of the two dice   Now, the possible outputs for rolling of two dice are {(1,…