Suppose that P(A) = 0.1, P(B) = 0.3, and P(A|B) + P(B|A) = 0.8. Find P(A ∩ B).

Q: 2. Show that (2) (¹)+(2-1). Can you provide = an interpretation of this equality?

A:

Q: Q7. Show that 2F₁ (1,2; 1; -x) = In(1+x) x

A: Step 1:Step 2:Step 3:Step 4:

Q: S(12 ) for √2x + 2x + 2√2x+...

A:

Q: In ΔPQR, m ∠ P = ( x + 13 ) ∘ m∠P=(x+13) ∘ , m ∠ Q = ( 10 x + 13 ) ∘ m∠Q=(10x+13) ∘ , and m ∠ R = (…

A:

Q: Fird the inversc trons frm of ; F (5) = sz+ 25

A:

Q: If P (A)=0.6, P (B)=0.1, and A and B are mutually exclusive, find P (A or B).

A:

Q: 11. Find MZJHI. K (3x + 2) (12r - 17)°

A:

Q: 2. Given x(t), - 2st<-1 ato - x(t) = 2 - 2t -1st<1 otherwise a. Draw x(t) b. Find and draw x(-1- 2t)…

A: Solution is given below..

Q: Consider a small shop with only one checkout counter. The arrivals of customers are distributed…

A: Solution Dear student as per guidelines we answer the first question only when multiple questions…

Q: Q1) Find dx for: 2 - (x? + y)? + (x - y?)? = x +y3

A:

Q: b) Suppose x # 2. Find dif dx In y = In (x - 2)² √x² +1

A:

Q: Test whether the number of years in college has a significant impact on income at a.05. What are the…

A: Test is that whether number of years in college has a significant impact on income. Given that…

Q: hat p (A) =0.3 and P (B) = 0.2 find P (A or B) given that (a) A and B are mutually exclusive, (b) A…

A: p (A) =0.3 and P (B) = 0.2  (a) A and B are mutually exclusive P (A or B) = P(A) + P(B)…

Q: If P(x) = x +x+ 4, find P(7). P(7) =

A:

Q: b) Find (3512, 2020) and find integers x and y such that 3512x + 2020y = (3512,2020).

A:

Q: Sx(x-2)/xr³ – 3x² + 5dx

A: By using substitution, we calculate the given integral.

Q: S(10) for √3 - 3 + 3√3+...

A:

Q: Suppose that P(A) = 0.12, P(B) = 0.40 and P(B|A) = 0.60. (a) What is P(A and B)? (b) What is P(A…

A:

Q: Lind f(t), f(s) = 5+1 2 5² +5-6

A: We need to find the function by inverse Laplace transformFormulas::First, we break the given…

Q: Find the zero of P(x)=7x-12

A: We have to find the zero of P(x)=7x-12.

Q: A) 13x| <|2x -5|

A:

Q: Given P(x) = xr³ - 3x2 - 2x + 4, which statement is true? A. (x-1) is a factor because P(-1) = 2. B.…

A: Given  P(x) = x3-3x2-2x+4

Q: If P(x) = x2 + x + 1, find P(7). P(7) =

A: Given that  P(x)=x^2+x+1  To find the P(7)

Q: Find L-

A:

Q: If p = 4x³ + x² + 2x + 5 and          q = 6x³ + 3x² + x + 2  Find ||p||  and ||q||

A:

Q: If t<0 andt2-4=0what is the value of 3t+5?

A:

Q: 3. Suppose g(x) = -3x² – 4 Find a) g(-3) and b) g(p + 2) %3D

A: Given: g(x) = -3x2-4

Q: For f(x)=12x¹-44x² −8x³ + 2x² −6x² +72x² −24x+8, compute f(2), roots of f(x) and plot for 0≤x≤ 30

A: The function given is as follows: fx=12x10-44x9-8x8+2x7-6x3+72x2-24x+8 We are asked to find the…

Q: 1. Find L-'[l/(p² + a?)²] by convolution.

A: Let 1p2+a22=1p2+a2p2+a2=1p2+a2p2+a2= FpGp      Then ft=gt=sinata

Q: If fx) = |3x| – 10 and g(x) = 2x³, what is (g ° f(-2)? %3D

A:

Q: (a) | V3 +1 dr

A: