Time Breakdown for an Average 190-Minute NFL TV Broadcast Replays Game Commercials Action 15 11 min. 63 min. min. Shots of 34 min. coach, crowd, 67 cheerleaders, min. etc. Shots of players standing around

Q: A population of bacteria is growing according to the equation P(t) hours. Estimate when the…

A:

Q: You want to make an 80° angle by marking an arc on the perimeter of a 12-in.-diameter disk and…

A: Given data:- The given angle is, θ=80° The given diameter is, d=12 in So, the radius is, r=6 in.

Q: In dx.

A: We will find  the required  integral.

Q: FIND F'(x) F(x) = 2 tanx 1+cosx

A: To differentiate the given function.

Q: (e) Write out the first five terms of the sequence, determine whether the sequence converges, and if…

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Q: Find equations of the tangent plane and normal line to the surface x = 3y² + 4z²106 at the point (6,…

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Q: Find the area of the shaded region. f(x) = x² - 4x³ + 12x². g(x) = - 3x +90 The area is (Type an…

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Q: Given the differential equation: 2 y' + ²y = 6x²

A: To choose the appropriate method to be used to solve the given DE. Method 5: Exact Equation Method…

Q: For the piecewise linear function, find the following. (If an answer does not exist, enter DNE.)…

A: NOTE: Refresh your page if you can't see any equations. . the given piece-wise function is

Q: Authorities conducted an investigation and found that the chemical Trioxin was illegally dumped into…

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Q: Uranium-238 (U-238) has a half-life of 4.5 billion years Geologists find a rock containing a mixture…

A: Half life = 4.5 billion years N(t)=0.77* N0t= ?t12=4.5 billion years

Q: For the piecewise linear function f(x) graphed below, find the following. (If an answer does not…

A: Condition for existence of limit at x=a⇒limx→a-fx=⇒limx→a+fx=⇒limx→afx

Q: The graph of a function f is illustrated in the figure.(a) Draw the graph of y = 0 f1x2 0 .(b) Draw…

A: Given:-(a) we have to draw the graph of |f(x)|.To draw the graph of |f(x)|, reflect the original…

Q: 1. y peax cosbx + peax sin bx ; a and b are parameters

A: According to given ,1st is solved.y=ϕeaxcosbx+ψeaxsinbxhere 2 constant then 2 times derivative

Q: A corporation has seven members on its board of directors. In how many different ways can it elect a…

A: There are 4 different positions: president, vice-president, secretary, and treasurer. Therefore, we…

Q: Consider the ellipsoid x² + y² + 4z² = 41. The implicit form of the tangent plane to this ellipsoid…

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with…

Q: determine whether the given function is linear or nonlinear. If it is linear, determine the equation…

A: Note:- We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Evaluate the limit lim x →∞ 5x² + 3x 7x4 + 2x² + 10

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Q: True or False The slope of a nonvertical line is the averagerate of change of the linear function.

A: The average rate of change of the linear function is the slope of a nonvertical line.

Q: Find the area between the curves (Hint: Your answer will be in terms of a.) The area is f(x)=x and…

A: area is=a3/6

Q: Solve below given differential eqn (x3+ уз) dy xe²4.de

A: We need to solve the differential equation.

Q: If y=f(x)=7e^x + 3x^4 - 20x - 5, Find the equation of the

A: Using derivative first find slope m,

Q: You are taking a multiple-choice test that has ten questions. Each of the questions has four answer…

A: There are 10 questions in the test and each question has 4 answer choices with one correct answer.

Q: The function s(t) describes the motion of a particle along a line. s(t) = t3 − 10t2 + 32t − 230…

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Q: Evaluate O 3π S sinx dx using the fundamental theorem of calculu 3π sinx dx = 0 3πt A-4 sinx dx =…

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Q: Use the washer method to find the volume of the solid obtained by rotating the region bounded by y =…

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Q: Biologists stocked a lake with 400 fish and estimated the carrying capacity (the maximal population…

A: a) Assuming that the size of the fish population satisfies the logistic equationdPdt=rP1-PN

Q: If the slope m of the graph of a linear function is ,the function is increasing over its domain.

A: If the slope m of the graph of a linear function is _______, the function is increasing over its…

Q: Use the Fundamental Counting Principle to solve:An ice cream store sells two drinks sodas or milk…

A: Given data:- The given store gives two types of drinks Soda or milkshakes. There are given four…

Q: Find the directional derivative off at P in the direction of a. ƒ(x, y) = 5x²y³; P(2, 2); a = 3 i −…

A: This question can be solved using the concept of partial derivatives and vectors.

Q: Draw the following intervals on the number line. 1. [ -1, 4] 2. (4, 3p) 3. [ -2, 12) 4. [1, 32] 5.…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub parts for…

Q: Consider the ellipsoid x² + y² + 3z² = 8. Find all the points where the tangent plane to this…

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Q: Generate differential equation by elimination of arbitrary constants. 2. y=x+c₁e* + c₂e-*

A: Given: Now,    y'=x+c1ex+c2e-x' =1+c1ex-c2e-xy''=x+c1ex+c2e-x''=c1ex+c2e-x

Q: A car has 12,500 miles on its odometer. Say the car is driven anaverage of 40 miles per day. Choose…

A: Given data:- A car has 12500 miles on its odometer Car is driven an average of 40 miles per day N is…

Q: The total cost in dollars of producing x lawn mowers is given by C(x) = 4,000 + 90x - x2/3 . Find…

A: NOTE: Refresh your page if you can't see any equations. . the given cost function is the average…

Q: Use the Fundamental Counting Principle to solve:Five singers are to perform at a night club. One of…

A: Given data:- There are five singers, one singer is want to show open and another singer wants to…

Q: In problems 11-12, express each limit as a definite integral. (they are given using right endpoints)…

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Q: Let F(x)=f(f(x))=f(f(x)) and G(x)= (F(x))2 and suppose that f(6)=7, f(7)=2, f′(7)=3 ,f′(6)=8 Find…

A: As we know that for composition of function F(x)=ff(x), F'(x)=f'f(x)×f'(x)

Q: Express the function h(x) = 5log(x² + 6) the form fog. If f(x) = 5log(x), find the function g(x)

A: We can find the function g(x) from the given composite function in the below steps.

Q: Please have a systematic way of solution (Question-Solution-Final Answer-Conclusion format) B.…

A:

Q: Use algebra to rewrite the expression BEFORE you differentiate. 8x¹7 - 2x¹4 14 x11 A) 32x³ - 2x D)…

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Q: Please have a systematic way of solution (Question-Solution-Final Answer-Conclusion format) E.…

A: Question: Please have a systematic way of solnerate solution of the first-order differential…

Q: Question 16 Eliminate the arbitrary constants of y=c₁e³+₂x4-sin 3x

A: We are given a differential equation,  y = c1ex +c2x4 -sin3x   ... @ We havet o eliminate arbitrary…

Q: Please have a systematic way of solution (Question-Solution-Final Answer-Conclusion format) E.…

A: Solution

Q: Graph the functions in Exercises .37. y = sqrt(x + 4)         38. y = sqrt(9 - x)

A: Given data:- 37. y=sqrt(x + 4) 38. y=sqrt(9-x)

Q: a. Distribute b. Solve { ª²³ (a²³ + 2a ²).

A:

Q: Find the slope and equation of the tangent line to the graph off at the given point 17.) f(x) = ln…

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Q: Solve equation log5x+log(x-1) = 2 without using a calculator.

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Q: List the intercepts and test for symmetry: y2 = x + 4

A: Given data:- The given equation,y2 =x+4

Q: Consider the integral given by Using the following definition of the integral Ax n 4 [ (x² + 2x - 5)…

A: Solution

Compound Probability

Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent. 

Tree diagram

Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described. 

Conditional Probability

By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.