1. Y 2 4 6 8 P(Y) 1 3 P(X) 1/3 1/6 1/3 3. 4 8. 9. P(Z) 1/5 1/5 2/5 1/5 2.

Q: 2) Stephen says that he is not bald. His hairline is just receding. Is he committing an error? If…

A: Given that  Maria insists that she is 30 years old when, in fact, she is 32 years old. What error is…

Q: 5. y>|x - 21 y O 7. x-3 ≤ y ≤ x +4 YA la S II 6. y ≤1x +4 Ins 8. -4≤x-2y < 6 x

A: See this solution in below.

Q: Y 3.0 0,00 FU.25 0.50 0.25 1.75 0.75 2.5 1.00 B. 25 2.0 2.75 1.5 3.25 L00 1.0 3.50 0.5 3.75 0.0 2.25…

A: We use central difference to approximate the derivative at point E in direction of E.

Q: 3. S: 7 dy у2-8y+5

A:

Q: 2 4 8 a) S. =1+=+÷+ + + +... 3 9 27 1 1 1 b) S. =1+÷+÷+÷+ 4 9 16 + +... 1 c) S, =1+ 1 1 +... 13 14 1…

A: To solve the following problem

Q: x = 5.3, sx = 1.4, z = _______ P(x > 7.8) = _____________

A: The normal distribution is the most useful theoretical distribution for continuous variables.…

Q: 1, 2, 1+4 1+9 1+V16 S =-+-+ 1+ n? 1+ \n +... 12 1+ /8 1+/27 9.

A:

Q: L{(5t**1 (5 t2n+1 I+uz7 - 4*} O 25(4n+2)! 40(2n+1)! 16 54n+3 s2n+2 5(2n+1)! 2n+2 O 25(4n+1)!…

A:

Q: A machine produces bolts which are N(4, 0.09), where measurements are in mm. bolts are measured…

A: Given information- Population mean µ = 4 Population variance, σ2 = 0.09 So, population standard…

Q: y -0.5 -0.75 1.5 0.5 0.25 -15 |(1) (2) (3) |-1.75 1.5 -0.5 0.5 0.25 -0.5 y y -0.5- 0.5 -이125- 0.5 -1…

A: Matched surfaces and contour diagrams:   Surface              Contour diagram (a)…

Q: y 1.0 | 7.8 1u1 1.0 | 8.4 2.0 | 8.9 9- 2.0 6.7 3.0 | 7.0 8- 3.0 | 7.3 7. 4.0 5.5 6- 4.0 6.3 6. 5.0 |…

A: The correlation coefficient measures the ,linear relationship present between the two variables…

Q: Scatterplots Match these values of r with the five scatterplots shown below: 0.268, 0.992, −1,…

A:

Q: 7(x + 4) 2. 2(b – 3) 3. -4(y + 3) 4. -5(m – 2) 5. -(y – 9) 6. 8(-b

A: Our guidelines we are supposed to answer only one question. Kindly repost other question as the next…

Q: (In (1)³ VA(1 + 4° ym) 3 (n) n = 1 8.

A:

Q: S 6(1 – y), 0<x <y<1 (.) - {0, elseubere x, Y elsewhere

A:

Q: 4. 5|8" – 3", Vn E N 5. 4|5" – 1, Vn E N - 6. 3|n(n+ 1)(n + 2), Vn E N

A:

Q: Date if 2; at ニ cuestion 1: 31 q43 -16

A:

Q: Calculate P(z<-1.2)

A: The z-score is standard normal variable with mean 0 and standard deviation 1.

Q: 4. An experimcnt was designed to see if a new drug can help relieve pain for hcadaches more quickly…

A: Introduction: Two groups of the doctor's patients are considered for the study. One group received…

Q: 1+ K(s+4) %3D s(s+2)(s+5) K = - 3+75²+10s %3D s+4

A:

Q: State the null and alternative hypotheses. We want to test if the most popular brand of soda…

A: We have to find hypothesis..

Q: The null hypothesis in words would be: The proportion of people in a sample that prefers Trydint gum…

A: Given information: A sample of 140(=n) people out of which 57 people prefer 'Trydint' bubble gum and…

Q: 1. s(z) = -4z³ In(z)

A: Since you have asked multiple questions in single request.so we will answering only first question.

Q: Маx Z%3D Зx, +5х2+ 4xз 2х1 + 3x2 + 0х3S8 Зx, + 2х, + 4х335 15 + 2x2 + 4x33s 15 Ох,1 + 2х2 + 5х3 S 10…

A: Question: The problem is                Max Z=3x1+5x2+4x3 Subject to…

Q: 31. x - y = In y; (1, 1)

A:

Q: 1. p(z > 1.5) 2. p(z > -2.6) %D 3. p(z < 1.6) IL |||

A: 1) For P (z &gt; 1.5) the sketch can be made as: The shaded area is the region for which the…

Q: ーメ44 ifx 小0 2x-5 if OLx<3 fE) = Vx-2 if メ=3

A: Explanation of the answer is as follows

Q: that the machine is producing more than 97% good parts (H0: p = 0.97 and Ha : p > 0.97). The test…

A:

Q: 3/4y +1 dy 2. Evaluate 0,

A: Given: ∫0234y+1dy Substitute, 4y+1=u dudy=4dy=14du =34∫udu ...........(1)

Q: The null hypothesis in words would be: The proportion of all people that prefer Trydint gum is less…

A: Given information Claim:- 5 out of 10 people prefer their gum to “Eklypse” Null and Alternative…

Q: Number of Girls x P(x) 0.003 1 0.011 0.118 3 0.203 4 0.330 0.203 6 0.118 7 0.011 8 0.003

A: Defined:

Q: 4s + 12 s2 + 8s + 10 4e 4t + 4te 4t 4et - 4tet Option 4 O Option 1 4e 4t - 4te4t 4et + 4tet Option 3…

A:

Q: 1 Q.3 Evaluate l(s+2)(s² +4)]

A:

Q: (4) (3) (4) e. y = 4x³ (2x + 7) 4 f. y = 1 5√√(3-15x)³ g. s = 8cos (4t2 +9) ...determine s' s'(2)

A:

Q: 2) 3) 1) 6 + 4 5 = 2 2 - m 4n = 12 4) 5) 6) 4r <8+9p 8 = 7x-6y a 6 7) 8) 9) Зysz 2x² +3x-6 -4s…

A:

Q: 7) The P for the association between job satisfaction and happiness is 0.40. Does the y of 0.22…

A: Given information: Let γ^ denotes the association between job satisfaction and happiness. Given that…

Q: 3 How many times would you expect the spinner to NOT land on Red if the spinner is spun 40 times?…

A: given,

Q: (t- 1)* 24 24 4 24 24 4 1 85 84 g5 84 82 O Option 1 O Option 2 24 24s 12s² + 4s3 + s4 12s2 + 4s3 + s…

A:

Q: 1. 2r+ dy +3: = 15 4r + Sy +3= 24 6r + Sy + Sz = 22

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: of 5 5 6 7 9. P(X = x) 0.2 0.2 0.2 0.1 0.3 8.

A:

Q: 10 f(x) =-0.3(x- 4.5)2 + 17{2.9 > x > 0.028} 11 f(x) = -0.3(x= 4.5)² + 16{4 >x > 0.414} 12 f(x) =…

A:

Q: 1, 2, 1+V4, 1+ 9 1+16 S =-+-+ 1+ \n? 1+ Vn +. +... 1'2 1+ 8 1+ /27 9.

A:

Q: VI- The Decision which supports economist claim, for the test of hypothesis, at the level α=0.50 and…

A: Null hypothesis : Ho : μ0 = μ1 Alternative hypothesis : Ha : μ0 ≠ μ1 It is two tailed test

Q: ~4 cV16-x2 Evaluate Jo Sce2+y2) V16 – r²drdzd0 4

A:

Q: 6- When are Gregory-Newton forward and backward interpolation formulas used? a) When calculating…

A: The value of the function at the unknown points can be calculated using interpolation. The…

Q: Suppose Ho: p 1/3 and Ha: p not equal to 1/3. You reject Ho. What type of error could you have made…

A: We have to find correct answer from given options..

Q: Solve the system: see the attachment.

A: We are given three equations and we have to solve them to find the value of x, y, and z. So, we will…

Q: 6. To the left of z=-1.38 7. To the left of z = 2.09 8. Between z -1.30 and z 1.28 MIRIAM COLLEGE…

A:

Q: If y = -x-4/3, what is 4 321/3 -1/3 01- 45 3-76 4 32-7/3 dy 2

A: y=-x-43

Q: P(−2.8°C<x<−1.49°C)=P(−2.8<z<−1.49)=

A: For standard normal distribution, Mean=0 and Standard deviation=1 Draw the normal curve that…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.