We roll a die 54 times. How many 6s should we expect?

Q: Let C = 1 1 0 (19) 01 0 0 1 Find ect and the solution to X'=CX + () t X (0) = 0

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Q: Let y = - 11 - 1 1 9 1 0 - 1 2 , and V₂ = -6 1 . Find the distance from y to the subspace W of R4…

A: y =

Q: Find the following limits. State any theorems used while taking the limits.

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Q: Use phase space techniques to discuss the stability of the steady states for molte! (a) =aN + 3N² +…

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Q: 4. I roll a die 100 times and count how many of each number I get. 5. I spin a spinner 20 times and…

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Q: 2.54. If A and B are mutually exclusive, P (A) = 0.37, and P(B) = 0.44, find (a) P(A'); (b) P (B');…

A: Given that A and B are mutually exclusive events then P(A or B)=P(A)+P(B) P(A)=0.37 and P(B)=0.44…

Q: The population of a country was 5.372 million in 1990. The approximate growth rate of the country's…

A: Here, ft=0.09486952e0.01766t and F0=5.372 million. To Find: (a) Function of Ft. (b) To estimate the…

Q: Does the table below define y as a function of x? If so, give the domain and range of f. If not,…

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Q: (10,14) (10,14) Show that (68) fdx + gdy = f(68) – (35x¹y¹dx + 28y³x³dy) is independent of path: 11…

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Q: A street light is at the top of a 17 ft tall pole. A woman 6 ft tall walks away from the pole with a…

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Q: using simulatio to estimate the profit per unit for a new product. The selling price for the product…

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Q: 20% of the 35 students in Mr. Box’s class enjoy eating broccoli. How many students like broccoli?

A: 20% of the 35 students in Mr. Box’s class enjoy eating broccoli.

Q: end 1800 pounds. After a month, the friend gave Daniel 1/3 of the amount back, and at the end of the…

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Q: 3. Select the equivalent expression. * OA. 1 8-22 O B. 26 89 o20 Tr

A: use the property of exponents

Q: 2xyzx − xzy - 2yz = 2x²y cos(x + y²)

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Q: Estimate the correlation coefficient for the following graph. O

A: Note: If the data points distributed in random manner, then there is no correlation. That is, r=0.…

Q: Suppose that P(A) = 1/3, P(B|A) = 1/2 and P(A|B) = 1/3 . Please find P(A°|B°) =?

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Q: Find the general solution to the following system of equations. 0 0 3 1 2 104 15 W X y Z = [3]

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Q: The solution to the problem is (x, y, z) = min f(x, y, z) => 00 z) = x² + y² +z_s.t. - 1 -0.5 0.5…

A: If g(x, y, z), h(x, y, z) are two constraints, then sing Lagrange's multiplier it can be written…

Q: Find real numbers a,b,c,d such that And then find f'(z) =? f(x) = x² + axy + by² +1(cz² + day + y²).

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Q: Which formulas are tautologies? Select all that apply. (p-q)-(p¬q) O-(-piq) pvp O-(-p^ (pv q)) → q

A: The given formulas are p→q↔¬p∧¬q, ¬¬p∧q, p∨q and ¬¬p∧p∨q→q. To determine which formulas are…

Q: Kara, Incorporated, imposes a payback cutoff of three years for its international investment…

A: Given: Year Cash flowA Cash flowB 0 -$61,000 -$71,000 1 $23,500 $15,500 2 $29,000 $18,500…

Q: © A cube with sides 13 inches long is covered with a coat of fiberglass 0.2 inch thick. Use…

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Q: The general solution of the PDE is given by for any function f. 2u, + 3u, + 2u = 0 u(s, t) =…

A: Answer is 0 for justification step 2

Q: Consider the curb shown in (Figure 1). Suppose that 1=9 m, a= 200 mm, b= 80 mm

A: 1 m=100cm  And 1m=1000mm

Q: If you want to be 95% confident of estimating the population mean to within a sampling error of 13…

A: It is given that confidence level is 0.95, the population standard deviation is 13 and the margin of…

Q: Find CD 2.4 1.7 B

A: radius of the circle = 2.4+1.7 = 4.1Let's consider intrection point of CD and AB is O.taking right…

Q: Three samples of each of three types of PVC pipe of equal wall thickness are tested to failure under…

A: Three samples of each of three types of PVC pipe of equal wall thickness are tested to failure under…

Q: 20. At a certain university, suppose each student moves on to the next year of classes with…

A: At a certain university, suppose each student moves on to the next year of classes with probability…

Q: Kiara has 7 bags of beads. Some of the bags contain 8 pink beads and the rest contain 10 teal beads.…

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Q: a certain type of light, the number of hours a bulb will burn before requiring replacement has a…

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Q: If the temperature is 43 °F, how much time does it take for thecricket to produce 12 chirps?A. 12 s…

A: Given temperature is: TF=43°F Number of chirps and temperature have relation: N=TF-40 N= number of…

Q: A travel agent is interested in the average price of a hotel room during the summer in a resort…

A: The question is about confidence interval Given : Randomly selected no. of hotels ( n ) = 20 Sample…

Q: The number of correct receptions is noted after three bits are transmitted across a noisy channel.…

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