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A molding machine prepares a certain kind of car spare part with a target diameter 𝜇 =
40.265 millimeters. The machine has some variability, so the standard deviation of the
diameters is 𝜎 = 0.004 millimeters. A sample of 6 spare parts is inspected each hour for
process control purposes and records are kept of the sample mean diameter. What will be
the mean and standard deviation of the numbers recorded?
a nutritionist claims that her developed bread is fortified with vitamin b. is it one-tailed or two-tailed?
Let P = (3, 4), ò= (0, 0), P0 = (5,0) be points in R²
equipped with the
Euclidean metric. Let R be the ring given by R ={v∈ R²: 4 < d(ò, v) ≤ 7}.
Which of the following are neighborhoods of P?
R, B1 = B(ò, 4), B2 = B(ò, 6), B3 = R \ B2, B4 = B(ò, 1) ∪ B2, B5 = B(P0,√11).
In using the stepping stone method Am getting values that are different from you net cost change.what could be the problem? And can we use a different path other than what you used or are there some rules? Could the answer still be correct or?looking forward for your reply,please.Thank you.
For an example of a discontinuous linear functional on a normed linear space
Activity #1
Suppose that a coin is to be tossed five times, and let X represent the number of tails that occur. Based on the problem, observe, analyze, and answer the following questions:
How many outcomes are possible?
Construct a table showing the number of tails appear in each outcome and assign this number to this outcome. What is the value of the random variable X?
> Illustrate a probability distribution. What is the probability value P(X) to each value of the random variable? (Use table)
What is the sum of the probabilities of all values of the random variable?
Suppose that a coin is to be tossed five times, and let X represent the number of tails that occur. Based on the problem, observe, analyze, and answer the following questions:
> Construct a table showing the number of tails appear in each outcome and assign this number to this outcome. What is the value of the random variable X?
1. Suppose V = {S, A, a, b}, T = {a, b), S is the start symbol with productions S "\\to" bS, S → aA, A → aS, A → bA, A → a, S → b. Find a derivation of each of the following.
a) bbabbab
(3 Marks)
b) bbbaab
(3 Marks)
1. Draw graph models, stating the type of graph used, to represent airline routes where every day there are four flights from Boston to Newark, two flights from Newark to Boston, three flights from Newark to Miami, two flights from Miami to Newark, one flight from Newark to Detroit, two flights from Detroit to Newark, three flights from Newark to Washington, two flights from Washington to Newark, and one flight from Washington to Miami, with
a) an edge between vertices representing cities for each flight that operates between them (in either direction), plus a loop for a special sightseeing trip that takes off and lands in Miami
(5 Marks)
b) an edge for each flight from a vertex representing a city where the flight begins to the vertex representing the city where the flight ends
(5 Marks)
1. a) Recursively define a0 = 1, a1 = 3, a2 = 5 and an = 3an-2 + 2an-3 for n ³ 3. Calculate an for n = 3,4,5,6
(4 Marks)
b) Find f(2), f(3), f(4) and f(5) for the following recursive functions.
f(0) = 1
f(1) = 2
f(k) = (f(k -1))2 - f(k -2) + k2
(4 Marks)
