The table shows the average sales S (in millions of dollars) of an outerwear manufacturer for each month 1, where t = 1 represents January. Month, t Sales, S Month, t Sales, S DATA 1 6.73 7 1.27 2 3 8 9 2.43 5.58 4.00 4.00 2.43 1.27 0.85 5.58 6.73 7.15 4 10 11 6 12 (a) Create a scatter plot of the data. (b) Find a trigonometric model that fits the data. Graph the model on your scatter plot. How well does the model fit the data? (c) What is the period of the model? Do you think it is reasonable given the context? Explain. (d) Interpret the meaning of the model’s amplitude in the context of the problem. Spreadsheet at LarsonPrecalculus.com

Q: Prove the following statement: 22 +23+24+... 2n+1 = 2n+2-4

A:

Q: Given: 41 2 22,324 Prove: k | 1 21

A:

Q: A = B = 2 (1) Find a matrix C which satisfies 3A + C = B. C = (2) Find a matrix D which satisfies A…

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

Q: proof CAUBIC)= PLA|1B) t plc1B)- p(A nel13)

A: Given that  Three events A, B and C such that  P(AUB|C)=P(A|C)+P(B|C)-P(AnB|C)  Which is the correct…

Q: A semicircular trough has length 10 ft and ends of radius 1 ft, as depicted below. The trough is…

A:

Q: 1)   If A =         2  -1     and   B =         1          -2                           7   0…

A: We are given A=[2-17  0],  B=[1-23-3]

Q: 1. Which of the following shows the Distributive Law/property? a) 4x (5 x 2) = (4 x 5) x 2 b) 4 x (5…

A: 1. Which of the following shows the Distributive Law/property? a) 4x (5 x 2) = (4 x 5) x 2 b) 4 x (5…

Q: If | B| = m then n

A: We know that, If there are n elements in a set A, then there exists 2n subsets of A. The power set…

Q: 8) x - 2y = 8 A) B) + -2 # 2 2 y 2 x

A: To determine which of the given graphs belong to x-2y=8

Q: 3.) Which of the following equations is true? a) 28 + 7 = 4(7 + 7) p) 36 + 6 = 6(6 + 1) E) 13 + 36 =…

A:

Q: 2 (1+ 9x)* (1+3) dx 3/7

A: Solving the problem by finding the value of the integration.

Q: Q.1) Evaluate A) drdy

A:

Q: Evaluate xdx -1x+1 O 1) 16 O 2) 1 O 3) O O 4) 4

A: Option 3 is correct See the calculation and answer below

Q: :Q1) Solve the following VI = x2. Ve? Q2) Solve the following: x = * ....

A:

Q: How many co-terminal angles exist for 0 = 80°? Explain.

A: Given: To find coterminal angles for θ=80°   Definition: Coterminal angles are the angles having the…

Q: Mark the statement that is true. DZcQ Do Z

A: Given statements ℤ⊆ℚ0∉ℤπ∈ℚ50∈ℝ

Q: (A1+A2+A3+ +An)" = a) Af + A + A +..+ A b) A +A1+.+A + Af n-1 c) A+ A 2+.+ A + Af d) A + A-1+ .+ A +…

A:

Q: Ax) b- a -dx = Ax)+f(a+b- x) 2

A: To prove:∫ab f(x)f(x)+f(a+b−x)dx=b−a2 Let, I=∫ab f(x)f(x)+f(a+b−x)dx    ...(1) Since, we know that…

Q: 5) m+p÷5; use m = 1, and p 5

A: Given m+p ÷5    , m=1,  p=5

Q: 12) What is the value of (x+1) ifx-7? 1 A) C) -4 1 B) D) 4

A: Just note that negative power is nothing but one divided by same positive power.

Q: 17 less than twice a number A) 17-n B) n - 17 C) 17-2n D) 2n-17

A: We have to write the expression of the statement "17 less than twice a number". For this, we have to…

Q: 3-2+2-3 1) Evaluate: 9-1 8. A) 17 17 C) 8. B) D) 8.

A:

Q: - The sum of two different positive numbers is always A) a multiple of 4 B) even C)

A: We have to find

Q: t,

A:

Q: 5 4 0 0 ( 1 1 5. Solve; a) 3 b) 0 0 0 1 2 1 - -2 0 0 0 4 5 5

A:

Q: 13)-5+3tan 0 = -5 A) nn + 3. B) No solution. C) 3. D) Inn)

A: Given: -5+3tanθ=-5

Q: Prove which expressions are equivalent to (3*)(3-5) 32 a) 3 b) 3 - 3-2 c) 3-3 d) 35 e) 33–2

A: First we solve given expression.

Q: 0) (1 b) |0 0 0 ) 5 1 1 5. Solve; a) 6 - 1 2 1 0 0 0 4 55

A:

Q: 5) Simplify and state any restrictions. 5 3 a) - 7x 4x 2 c) - ² - 3 - 5 x+3 b) ++ ab d) 74 + x+4 2b…

A: We need to simplify and find restrictions.

Q: .) Perform the following  A. (3+4 i  ) + ( 7+5i) B.) (9+17i ) -(13-i)

A: Given: A.   (3+4 i  ) + ( 7+5i)  B.   (9+17i ) -(13-i)

Q: Prove: a) P(AnB) = P(A) + P(B) - P(AUB) b) P(AnB) = P(A) - P(A-B)

A: This prove can be done using Venn diagram easily. Take a sample space S in which two event are…

Addition Rule of Probability

It simply refers to the likelihood of an event taking place whenever the occurrence of an event is uncertain. The probability of a single event can be calculated by dividing the number of successful trials of that event by the total number of trials.

Expected Value

When a large number of trials are performed for any random variable ‘X’, the predicted result is most likely the mean of all the outcomes for the random variable and it is known as expected value also known as expectation. The expected value, also known as the expectation, is denoted by: E(X).

Probability Distributions

Understanding probability is necessary to know the probability distributions. In statistics, probability is how the uncertainty of an event is measured. This event can be anything. The most common examples include tossing a coin, rolling a die, or choosing a card. Each of these events has multiple possibilities. Every such possibility is measured with the help of probability. To be more precise, the probability is used for calculating the occurrence of events that may or may not happen. Probability does not give sure results. Unless the probability of any event is 1, the different outcomes may or may not happen in real life, regardless of how less or how more their probability is.

Basic Probability

The simple definition of probability it is a chance of the occurrence of an event. It is defined in numerical form and the probability value is between 0 to 1. The probability value 0 indicates that there is no chance of that event occurring and the probability value 1 indicates that the event will occur. Sum of the probability value must be 1. The probability value is never a negative number. If it happens, then recheck the calculation.