How do I ans these two questions

An online retail company tracked total number of purchases monthly. In June 2007 they were 4,500 purchases and in September 2008

Verizon [17]

Complete Question:

An online retail company tracked total number of purchases monthly. In June 2007 they were 4,500 purchases and in September 2008 there were 5,100. The purchases followed a linear model of the form p = S ( t ) = r t + i where p purchases is in 1000's and t is months where January 2007=0

a) What is the constant rate of sales

b) Write out the linear model function with the parameter values `p=S(t)

Answer:

a) Rate of sales, r = 40

b) Linear model function, p = s(t) = 40t + 2100

Step-by-step explanation:

p = S ( t ) = r t + i ......................(1)

Since January 2007 corresponds to t = 0, June 2007 corresponds to t = 6

Purchase, p = S(6) = 4500

Substituting these values into equation (1):

6r + i = 4500......................(2)

September 2008 corresponds to t = 21

Purchase, p = S(21) = 5100

21r + i = 5100......................(3)

Subtracting equation (2) from equation (3):

15r = 600

r = 600/15

r = 40

a) Therefore, rate of sale, r = 40

Substituting the value of r into equation (2)

6(40) + i = 4500

i = 4500 - 2400

i = 2100

b) The linear model function is:

p = s(t) = 40t + 2100

6 0

2 years ago

If sinx = 0.3, and x is in Quadrant III, then what is the value of cosx?

enot [183]

Probably the question should say $\sin x=-0.3$ , as $\sin x$ is negative for $\pi$ .

In that case, recall that

$\cos^2x+\sin^2x=1\implies\cos x=\pm\sqrt{1-\sin^2x}$

Because $x$ lies in the third quadrant, we expect $\cos x$ to also be negative, so we take the negative root above. Then

$\cos x=-\sqrt{1-(-0.3)^2}\approx-0.954$

7 0

2 years ago

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Mr. Wilson is giving his students a vocabulary test tomorrow over all the terms they have learned from this semester. Today, he

Eddi Din [679]

1) The population

Is the set of all the terms that the teacher taught this semester and which he wrote down on the note cards and put in the paper bag.

2) The sample is every set of five cards that is selected by each student.

3) I think the sample is representative because all ther terms have the same probability of being selected.

Further, given that the cards are replaced every time all the students will face the same population when they are going to select a sample.
Comments Report

8 0

2 years ago

Mark and his friends ordered two pizzas are the same size the first pizza is cut into six slices of equal size the second pizza

tino4ka555 [31]

1/6 < 1/4 so 1/6 would equal 2/12 and 1/4 would equal 3/12 so which means if you take one from each it would be 5/12 but if you took 2 from the first one it would only be 2/12 which is why you need to read correctly because THE REASON MARK IS CORRECT IS BECAUSE 5/12 IS GREATER THAN 2/12

3 0

2 years ago

HELP 64 POINTS

kodGreya [7K]

Answer: {30, 39, 33, 15, 15, 18, 20, 33, 19, 41, 45, 18}

Step-by-step explanation:

1. The key indicates you how to read the values of the stem-and-leaf plot. Then, 1|5 means 15.

2. Then, the first digit is written in the colum Stem and the second digit in the column Leaf.

3. Based on this information, you can write the data given in the stem-and-leaf plot, as following:

15, 15, 18, 18, 19 (The first digit is 1 and the second digit are: 5,5,8,8 and 9)

20 (The first digit is 2 and the second digit is 0)

30, 33, 33, 39 (The first digit is 3 and the second digit are: 0,3,3 and 9)

41, 45 (The first digit is 4 and the second digit are: 1 and 5)

3. Then, as you can see, the data set represented by the stem-and-leaf plot is:

{30, 39, 33, 15, 15, 18, 20, 33, 19, 41, 45, 18}

5 0

2 years ago

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