B (m,n) =B (n,m)

Q: Teens who vape are likely to develop pneumonia 60% of the time, whereas teens who don’t vape are…

A: Define, A : Teen developing pneumonia. B : Teen vapes Teens who vape are likely to develop pneumonia…

Q: Show that: If |z| = 1, then: z' + 4z + 5 z2 + 5z + 6

A: Given: z=1 Then show that: z3+4z+5z2+5z+6≤5

Q: Let fx,y) = 1– 2x* + 6y?. Then, 8,(1, 1) – 35,(1,1) =? .

A:

Q: 11. If d || e, mZ6 = 9x - 4, and m28= 4x + 67, then a. m25 = 6 7 b. m27= 8 e

A: Supplementary and corresponding angles

Q: - (m'n') m²n_> 14. (2xy)²(-3x²)(4) 15. (2ryz?)°(x²z}*, 21 im2, n (m35 m2).(nein (2)(x3(35 (2 243…

A:

Q: 2 Evaluate: :S,vte-t² dt.

A: Detailed explanation mentioned below

Q: From (2) we get: 7h 1 (7g+7)n+1 - 2-(7g+6) (2 - N-(79+6) II ig+1)k-(a+1)t-q +1 h=0 k=1 7h 1…

A:

Q: 28x+4y+kz -10 -5x-8y-4z = -2 e must have, k +|

A: The given system of equation is: - 6x + 4y + 7z = 3 28x + 4y  + kz = -10 - 5x - 8y - 4z = -2

Q: 5. By Chain Rule , evaluate a. y' for y = u? + 4u and u = 4x3

A: This question is related to Differentiation, We will solve it using given information.

Q: Find (a) u × v, (b) v × u, and (c) v × v.…

A: Given : u =0,2,1v = 1,-3,4(a) u x v = ijk0211-34u x v =i 21-34    -j0114  +k021-3          = i(8+3)…

Q: R(z) = In(6z +e²)

A:

Q: 3,4,s, then メ. rind PCX=5) , P(X==), P(x<2) P(XS2)

A: Given that  Let X denotes the random variable having values 1,2 ,3 ,4,5  We have to find P(X=5),…

Q: (c) If in (b) |sn < M Vn, then |a1v1 + ... + a„Vn| < Mv1 Vn.

A:

Q: 9. If y = V-|x|, then D =

A: We can differentiating given function in the in particular domain.

Q: Suppose Z∼N(0,1). Then P(2 ≤ Z ≤ 3) is the same as

A:

Q: Let C z-1=3 and1 = §, = dz. Then

A: The solution is given as

Q: Of the high blood pressure patients in a particular clinic, 62% are treated with medication X, the…

A: Given that, P(x) =0.62 P(y) =1-0.62 =0.38 P(Fainting |x)=0.014 P(Fainting |y)=0.029

Q: 2 Let C: z-2|=1 and I = dz. Then C z2-4

A:

Q: If X is the number of heads obtained in four tosses of a coin, the 1 is 1+X mode of Y =

A:

Q: If u = -12i - 6j and v = 9i + 9j, findu + v. O 21i - 4j O 21i + 3j O -4i + 3j O -3i + 3j

A:

Q: Find (a) u − v, (b) 2(u + 3v), and (c) 2v − u. u = (4, 0, −3, 5), v = (0, 2, 5, 4)

A: Given a vectors,

Q: Ý = Bo + B,X1 + B,X, + B3X3 Null Hypothesis H,: Bo 0 Alternative Hypothesis Ha: Po = 0 O Null…

A: Given : y = βo + β1x1 + β2x2 + β3x3

Q: i. Find proj,u and projų v u = (2, –2), v = (3,1)

A: Given,  u=(2,-2) ,  v=(3,1)    We have to find vector projection of v on u

Q: 2) y"+2y'tey = &t, y(9)= 2, y(0)= 7 et, ylo)= &, /(0)=-7

A:

Q: Find x, y, z and w if (::)-(; )-(.. ") 4 x + y 3 -1 2w z + w 3

A:

Q: 7. If (x, y, 2) = 3xz³y – y?, find grad o at the point (1, -2, –1) Ans. - (16î + 9j + 4k)

A: The gradient of a scaler point function φ is obtained by applying the del operator ∇ to the scaler…

Q: Provide counterexamples for If (A −B) ∩ (A −C) = ∅, then B ∩ C = ∅.

A: The solution is given as

Q: If fxy (x, y) = , ,0 2) =

A: Given,fXY(x,y)=x+y27 ; 0&lt;x&lt;2 , 3&lt;y&lt;5

Q: If v = (3, – 1, 1) and w = (-2, –2, –2) , what is v x w ?

A: Here two vectors v and w are given, we want to find the cross product or vector product of the given…

Q: Solve for w, where u = (1, −1, 0, 1) and v = (0, 2, 3, −1). w + u = −v

A: Let's consider w = (a, b, c, d) So w + u = (a, b, c, d) + (1, -1, 0, 1) = (a + 1, b - 1, c, d + 1)

Q: Find the probabiliti (a) {Y < 8 – (2|X|/3)}, and (b) {Y < 8+ (2!X\/3)}. Compare the two results.

A:

Q: (8) If w = 5x² + 2y², x= -3s+t, and y = s – 4t. Find and Əw as

A: The objective is to find the partial derivatives .

Q: 3sin4t dt 2. 5(1- 3cos21)

A: We have to find integral

Q: 13. If T:(x, y)– (x – 1, y + 6), then T':(x, y) → (__, .

A: GivenT(x,y)=(x-1,y+6)To findT-1(x,y)

Q: az If x2 + xy + yz + z2 = 6, then- ду

A:

Q: 8 - If w = is a linear combination of v = and u = then r and s must be, respectively,

A: w is the linear combination of u and v then we can write  w= au + bv  Where a and b is the scalar

Q: How is w = (-3, –13, 7) e R³ a linear combination of (0, -2, 2) and (1, 3, –1)? U = | V = O A. w =…

A: Given query is to find the correct option for linear combination.

Q: Determine whether (x-y)|(x-y"), Vn Z+ and x, y € Z, x #y.

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

Q: fonl gile) O If go)= S cnte dt , lnx

A: To solve the derivative of the above integral  we use Leibniz integral rule.

Q: What is the best substitution to make to evaluate S O u = 3x Ou = e³x u=1+e³x Ou = e-3x e³x 1+e³x dx…

A:

Q: Disprove the statement by giving counterexamples If m,n ∈ R, then |m + n| = |m| + |n|.

A: The equation is m+n=m+n.

Q: Evaluate Js I | ix, v, z) ds. Ах, у, 2) - Ху S: z = x2 + y2, 9 sx² + y2 < 81

A:

Q: fx, x, (*1 *2) = 16 1X¡l < 4, 2 < X2 < 4 are independent and orthogonal.

A:

Q: If u t- dt, then o V3 2 /3 O 3 9. 3/4

A:

Q: Find (a) u × v, (b) v × u, and (c) v × v. u = (3, −3, −3), v = (3, −3, 3)

A: Given: u=(3, −3, −3), v=(3, −3, 3)

Q: NEXR T Ky o oy 4 X, ~ N(22,0%)and S — 4, then P(X < 23.863) Select one a 0975 b. 0.99 c. 090 d. 095

A: According to the central limit theorem, the sampling distribution of the sample scores follows the…

Q: a) Expand Ca-b)Catb) b) Hence, expand ox-y+2)(ctytz)

A: a) Expanding (a - b )(a + b)  (a - b)(a + b) =  a(a+b) - b( a+b)                        =  a.a + a.b…

Q: Let u = (1, 2, 3), v = (2, 2, -1), and w = (4, 3, –4). Find z, where 2u + v – w + 3z = 0. Z =

A: u=1,2,3v=2,2,-1w=4,3,-42u+v-w+3z=0

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.