3. Find an equation of a parabola with a vertex at the origin and directrix y=-3.5 Oy=--x 14 Oy= ? 14 Ox= y 14 Ox=-L 14

Q: The weights of a certain dog breed are approximately normally distributed with a mean of 51 pounds,…

A: The mean is 51 pounds and standard deviation is 6.1 pounds.

Q: 3. What is the partial fraction decomposition of the Laplace transform F(s) = A) B) B C A + + s+1 (s…

A: As 4,5 and 6 are not interrelated these are treated as different questions. As per our guidelines we…

Q: a+, 3. f(1)=1** +a cosh /21 +bsinh /21 f(1) =2cos" (21) +e² 4.

A: The Laplace transform of the function f(t) is defined as Lf(t)=∫0∞e-stf(t)dt, since the dimension of…

Q: 2. an = 3 +- + cos(2nz) п 3. an = In(14n – n) – In(3n° + 2n² + 1) - |

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Q: Tasty Pizza Ltd desires to know if the size of the pizzas order by their customers depends on the…

A: There are 3 col and 3 rows  So d.f. = (r-1)*(c-1) = (3-1)*(3-1)= 4 We find the value of Chi-square…

Q: 5 A circle with centre at the origin passes through the point (2,6). The tangent to the circle at…

A:

Q: 4) Left-tailed test; test statistic value t = 2.06; degrees of freedom df = 20; p-value = %3D 5)…

A: 4) The degrees of freedom is 20 and test statistic value is 2.06.

Q: 12 (b) Given D = 2, decode the following message: Message: -1, 4, 30, -41, 39, -58, 22, -33, 31,…

A: Given: The given matrix is D=2-3-12. To find: b) We have to decode the following message: Message:…

Q: 4- 5- We have two crates. The first crate has 2 white birds and a black bird and the second crate…

A: here use basic of set theory for question 4 And use tree diagram for the question 5

Q: (b) Verify the given sums Ex, Ey, Er?, Ey², Exy, and the value of the sample correlation coefficient…

A: Given, X Y 37 5 47 8 57 10 67 14 77 28 87 44

Q: 100 and o = 10, what X values separate the 2. For a normal distribution with u middle 95% from the…

A:

Q: C. X is a normally distributed random variable with a mean of 57 and a standard deviation of 6. Find…

A:

Q: Answer the questions 1. Imagine you do a study and find pretty good evidence in favor of a…

A:

Q: Consider the group D4 = (a, b) = {e = (1), a, a², a³, b, ab, a²b, a³b} where a = (1 2 3 4) and b =…

A:

Q: Answer: Answer: 9. Let f(x) = 3x – 2 and g(x) =-x+ 4. Find (fo g)(5). Answer: 10. Let f(x) = 3x+ 4…

A: To find: a) (fog)(5) b) (fog)(x) and its domain

Q: Suppose you are playing a game. The random variable, Y, represents your net profit in dollars. The…

A:

Q: 6 Six wind turbines are to be erected in a straight line across the fields of a farm. The wind…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 1. The Laplace transform of a function f(t) is A) L{f(t)} = fest f(t)dt B) L{f(t)} = fest f(t)dt 2.…

A: 3. Pierre-Simon Laplace is known for his work on the Laplace transform, what is his nationality?…

Q: 4. Construct a 95% confidence interval of the true mean life span of LED light bulbs manufactured by…

A: Consider the given information. (4) The margin error is defined as. Margin of error=zσn σ represents…

Q: 3. Zcomputed 2.24 Zcritical = 2.33 %3D Decision: 4. Zcomputed = 0.16 Decision: %3D Zcritical = 2.17…

A: For the given values Determine the decision

Q: A survey was conducted to measure the heights of Filipino men. The heights of the respondents were…

A: Let, X : Survey conducted to measure the heights of Filipino men. Mean=μ=64.2 S.D.=σ=1.7 X~N(μ=64.2,…

Q: Name Write an equation that expresses the relationship. Use k as the constant of variation." 1) d…

A:

Q: 4. Calculate the margin of error for your interval 5. Calculate the 80% confidence interal. 6.…

A:

Q: Answer Q2-Q5 using the following table. Source Degree of Freedom Treatment Error Total C. 8.5593 d.…

A: The following information has been provided: Source Degrees of Freedom Sum of Squares Mean square…