Given that P(A) = 0.13, P(B) = 0.31, and P(A and B) = 0.0052, are events A and B independent? Yes, they are independent O No, they are not independent

Q: Find the center and radius of the circle represented by the equation below. x² + y² + 2x + 4y - 20 =…

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Q: lve the following equations: a) y√(1-x²)dy + x√(1- y²)dx=0 (In 6 12

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Q: Use a₁ = 3 and r = -2 to find the term a7 in the sequence starting at a₁ with common ratio r.

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Q: 60.x = x + 3 1 2 3

A: Let us consider the expression, ax+b= cx+d  So, x(a-c)= d-b  So, x= (d-b)/(a-c) is the required…

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A: Here, to check which of the given nets can form a pyramid.

Q: Use the binomial theorem to expand (3x-4)¹.

A: We have to expand given equation using binomial theorem

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A: Given

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A: answer is in next step

Q: Evaluate the definite integral. NOTE: Enter the exact answer. 11 | ² || ² + 1²j||d² = dt = 0

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Q: Suppose that the functions s and t are defined for all real numbers x as follows. s(x)=x-4 t(x) =…

A: Just i have used the rule of addition , substraction and product of two functions and easily find…

Q: 2. What is the midline of the function graphed below? -1/2 0 m/2 3/2 2n Oy=-2 Oy=2 O y = Oy=0

A: Solve the following

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A: Two examples are given.

Q: Worksheet 2 Change to rational exponent form. Do not simplify. √6 4 (xy)³ Vy √1+ y² = (1+y*) *

A: As we know that; The radical rule; an=a1n   (1). Given: 6 Here, n=2

Q: 15 64. x + 7 = x + 3 9 6 oldsw

A: Topic:- simplification

Q: tan (+) = [² Lt) ton" (+ tan (4+/cmc+)) In 2 4 2 6 • tan À I 12 1²0 (+) - — tan² (+) + & tan² (+) +…

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Q: Show Showing Linear Dependence that the set is linearly dependent by finding a nontrivial linear…

A: A set of vectors is linear dependent if there is a non trivial linear combination of the vectors…

Q: Find the center and radius of the circle represented by the equation below. x² + y² + 16x + 4y +43 =…

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Q: - 1x + 1 + 1 = 2x - 4 O!x+1 = 3 1 = −2x − 4 ○ ! x + 1 = 2x − 4 1x+ 0-1-1=-2X-4 3

A: We have the find the solutions

Q: For part (a), a 1-eigenvector of A for would also be correct) For part (h

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Q: Find the volume of a right triangular prism whose height is 4 and base is a right triangle with legs…

A: Find the area of base and then multiply the area with height.

Q: Calculate velocity of the train relative to the car. VA/B = VA-VB = 120 (cos15°i+sin 15°j)-90 (cos…

A: Here we have to find the answer upto 3 decimal places.

Q: Find the exponential function y = ab whose graph passes through the points (3, 108). y = > Next…

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Q: Trader A offers a discount of 25 % on the marked price for cash purchase. Trader B offers a trade…

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Q: Find theta from this equation 6901551.272 2 * cos (sin-¹ (0.25 sin e)) + 193600 <34.5

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Q: 5 A bag of marbles had 15 blue marbles and the rest were green. For a game, 16 marbles were chosen…

A: To find out the number of blue marbles.

Q: write a polynomial function that has the given zeros: -2i, 2i, 1-2i, 1+2i

A: Given the query is to find the function with indicated zeros.

Q: APUG has the coc he pre-image and 5. (x, y) → (x, y)

A: according to bartleby guidelines I can solve only 1 question at a time if you want solution of other…

Q: Find exactly T(t) and N(t) for x = e'cost, y = e'sint, z = e¹ for t = 0. [Choose the correct…

A: To find T(t) and N(t) for the given vector r(t).

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Q: Worksheet 1. √5 6 Approximate each square root to the nearest hundredth using the square root…

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Q: 28. (3, 2) and (9.4)

A: To find the distance between the given two points.3, 2 and 9, 4

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Q: If a manufacturer has these given total cost and total revenue functions. C(x) = 100x + 3000 and…

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Q: X J+X =1+x ¥=X+予 sb

A: To indicate any input that must be excluded and then to solve the following…

Q: A city's transit authority serves 180,000 commuters daily when the fare is $1.70. Market research…

A: calculation of fare earn maximum profit are as follows

Q: 15 C11 O 1,365 O 1,876 O 455 O 10,920

A: See the details solution in below

Q: What is the value of x+y+z? Find x and B, if B =[2x+3x+2 is symmetric. -3

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Q: nt ƒ(x+ h) − f (x) h (c) f(x) = Т 9-x

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Q: Select all that apply.

A: answer is in next step

Q: . On February 19, 2020, Trisha borrowed P50,000 from a community cooperative at 9% simple interest.…

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Q: 3 = -3 9 [ 3₁ 3] 4 8 c = [₁ and C= 20]. Fi 2 -5 10 Find the value

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A: topic- linear equations

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Q: equations [x² + y² = 21 |x-y²=-9 If there is more than one solution, enter additional If there is no…

A: Given,  x2+y2=21 and x-y2=-9

Q: Find 4(A-B) and simplify. 43 -9 1= B= 1 3√5 12 4(A-B) = -4 0 1 28 2/3

A: Given query is to find indicated matrix.

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Q: A local zoo is trying to decide how many lions, tigers, and bears to get. The number of tigers…

A: Given that A local zoo is trying to decide how many lions, tigers, and bears to get. The number of…

Q: MATH CHALLENGE 1. Below is a net of a cube. Which arrow is opposite the face of the cube? +

A: As per our guidelines we can help you in solving only first problem, rest of the problems you have…

Q: BG B S-0 12 C= 4 10] -2 6 9 2 -3 3 8 D = 9 12 -10

A: