If we know that Pr(A U B) = 0.6 and Pr( A n B )= 0.2, can we find Pr( A) and Pr (B)?

Q: For what value of x is g(x) = - 2? ..... x=0 4- 4

A: Here, we need to find the value of x which makes g(x)=-2

Q: If A=A(t) find the A? m d²A RT da -3Tcr 2 dt dt

A: We have to solve the homogeneous solution first.

Q: 6 .6 If f(x)dx=10 and f(x)dx=3, then | f(4 – x)dx=? A В 3 (c) 7 10

A: Given that a integration problem and we solve this problem by using general formulas of integration.…

Q: Find an example for which (zc)d ≠ zcd with z ≠ 0

A: To find an example for which zcd≠zcd where z≠0 Now, for integers c and d zcd=zc·zc·zc····d…

Q: Suppose for this problem that Pr[A|B]=1/1, Pr[A]=5/16 and Pr[B′]=15/16 (1) What is Pr[B|A]?  (2)…

A:

Q: 4 (x + Jy) dxdy へ。 1 1.

A: In the question we have to evaluate the double integral.

Q: Given that P(A/B) = 0.5, P(A)=0.4, and P(B) = 0.44 , then P(A/B) is equal to ?

A: Given : P(A|B) = 0.5 P(A) = 0.4 P(B) = 0.44

Q: Г1 о 2 4 = 0. Find x, if [x -5 -1] 0 2 1 2 0 3 %3D 1

A:

Q: s there a formula to calculate:  If A and B are dependent and P (A/B) = 0.35 then  P(B/A) = P (A…

A: A and B are dependent P(A/B)=0.35   we know that, P(A/B)=P(A and B)/ P(B) P(B/A)=P(A and B)/P(A)

Q: Glven P(E) = 0.50, P(F) = 0.35 , and PE and F) = 0.14, what is P(EorF)

A: Given P(E) = 0.50 P(F) = 0.35 P(E and F) = 0.14

Q: If (In x)2 c (a (In x)? + b in x +c) + constant, then 2 a + 28 b + 18 c = 32

A: Solving the above given integral

Q: Evaluate the following: a. [₁₂ (6 + e ²¹) 8(t - 4) dt = [ b. ₁ (6 + e ²¹) 5(t− 8) dt = [ c. L₁ (6 +…

A:

Q: Let f(x)=2+x22−x3 , then f′(1)

A: fx=2+x22−x3Differentiate w.r.t. "x",f'x=0+22x21−3x2f'x=22x21−3x2

Q: (5) Given z=x³y-3y². If x changes from 2 to 1.9 while y changes from 1 to 1.02, find dz and Az. Is…

A: The objective of this question is to find the change in z (dz) and the approximate change in z (Δz)…

Q: Let X = n(µ,4) and Var(2x) = E(4–7x) find µ.

A: Given: X ~ N (μ,4) So, V [X] = 4 V [2X] = E [4 - 7X]

Q: What is the value of y(10) for y(t) L'((e“+2e ll + 3e ")) ?

A:

Q: Find (e3x + 5sinx)dx. -e3x +5cosx +C O a. 3 e3x+1 -5cosx + C b. 3x + 1 e3x -5 cosx + C OC. -e3x -…

A:

Q: If Var(X) = 4, Var(Y) = 16, Cov(X,Y) = 3, and E(X) = E(Y) = 0, what is E(XY)? Enter the exact…

A: Var(X)=4 Var(Y)=16 Cov(X,Y)=3 E(X)=E(Y)=0

Q: Find the values for x2 left and x2 right for α = 0.1 and n = 41 .

A: It is given that, the sample size (n) is 41.

Q: Pr[A u B] =0.80, Pr[A]=0.10 and Pr [B | A]=0.30. Find Pr[B]

A: Solution: Given information: P(A∪B)= 0.80 PA)= 0.10 P(B|A) = 0.30

Q: Solve S P + + (P)(r)(t) for i. for t. =

A: Given,          S=P+Prt

Q: | f(x)dx = 3 and f(x)dx = 7 , then (2f(x) +3)dx = If 4

A: TO FIND ∫43(2f(x) +3) dx GIVEN - ∫03f(x) dx = 3 ∫04f(x) dx =7 USE THIS PROPERTY TO SIMPLIFY- ∫abf(x)…

Q: 1. D, [3x²y+In(xy²)] За + In(xg In(xy³)]

A: Given,

Q: 3 - 9, y(0) 33 - 30 – 13 a(t) = y(t) = %3D

A: Given,       x'y'=53-30-13xy     x(0)=-9, y(0)=33

Q: E (x. - x Y Show that is a consistent estimator for o is N (µ, o²).

A: ANSWER: For the given data,

Q: (c) V2x + 1 dx (d) x In(x) dx

A: Recall: ∫ax+b dx=1aax+b3232+c ∫xn dx=xn+1n+1+C ∫u.v dx=u∫v dx -∫dudx∫v dx dx d(lnx)dx=1x

Q: Qe if xしz)= 0.5(マ+1) (し2) す! (そ-1)(マ-0.6) |

A:

Q: consider the following scenario: let P(C)=0.4 let P(D)=0.5 let(C\D)=0.6 a.find P(C and D)

A: Given: P(C)=0.4, P(D)=0.5 and P(C|D)=0.6 To find P(C and D), we need to find PC∪D, which is given by…

Q: If P(B)=0.3​,​P(A | B)=0.5​, ​P(B′​)=0.7​, and​ P(A | B′​)=0.8​,find​ P(B |​ A)

A: Given that P(B)=0.3​,​P(A | B)=0.5​, ​P(B′​)=0.7​, P(A | B′​)=0.8​

Q: 3. V4- (x – 3)²dx.

A:

Q: Calculate F(s), if given f(t) the following is b-be cosbt at (5).f(t) =

A:

Q: If f(x)dz = -5. then the value of f f(z)dr = ... -5, then the value of f(x)dx O 5 3

A: We have to find the value

Q: cln3 dx (b) (10 points) Ф) (10 роints) z et n2 e*-e

A: We use the definition of the integral of functions and partial fractions to evaluate the given…

Q: differentiate the following: Q(y)= y3/3 + 3/y3

A:

Q: If m = 2, p = –1, and t = 3, what is the value of mpt [2p + 3(p + m)] ?

A:

Q: 1. Let f(x) = 3x2 and g(x) = x - 2. a) Find (f o g)(x). %3D %3D

A:

Q: Differentiate y = [e2x + (x + 1n x)3]4.

A: Given function is y=e2x+x+lnx34. Power rule of differentiation states that: ddxxn=nxn-1 Chain rule…

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.