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AlekseyPX
3 years ago
6

A simple random sample of 5 months of sales data provided the following information: Month: 1 2 3 4 5 Units Sold: 94 105 85 94 9

2 (a) Develop a point estimate of the population mean number of units sold per month. x = (b) Develop a point estimate of the population standard deviation. If required, round your answer to two decimal places. s =
Mathematics
1 answer:
11111nata11111 [884]3 years ago
4 0

Answer:

a) x = 94 units/month

b) s = 51.50 units/month

Step-by-step explanation:

The adequate point estimation of the population mean and standard deviation are the sample mean and sample standard deviation.

a) Point estimation of the population (sample mean)

M=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\M=\dfrac{1}{5}(94+105+85+94+92)\\\\\\M=\dfrac{470}{5}\\\\\\M=94\\\\\\

b) Point estimation of the population standard deviation (sample standard deviation)

s=\dfrac{1}{n-1}\sum_{i=1}^n\,(x_i-M)^2\\\\\\s=\dfrac{1}{4}((94-94)^2+(105-94)^2+(85-94)^2+(94-94)^2+(92-94)^2)\\\\\\s=\dfrac{206}{4}\\\\\\s=51.50\\\\\\

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Factor (2x^2+ay)(-ax^2-2y)
lorasvet [3.4K]

Answer:

i got -(2x^2+ay)(ax^2+2y)

Step-by-step explanation:

By the way for a step by step explanation which is the easiest is photo math. IM NOT ADVERTISING but it is really good and i use it alot.  

6 0
3 years ago
TUZ.U410)
ICE Princess25 [194]

Answer:

Part A: 15

Part B:

Point slope form: y-400=15(x-5)

Slope intercept form: y =15x+325

Standard Form: 15x-y+325=0

Part C: g(x) =15x+325

Part D: 505

Step-by-step explanation:

We are given the following

x       g(x)

5      $400

10    $475

We can see that these are two points on the line.

i.e. (5, 400) and (10, 475)

OR

x_1 = 5\\x_2 = 10\\y_1 = 400\\y_2 = 475

<u>Part A: </u>Slope of the function:

m=\dfrac{y_2-y_1}{x_2-x_1} \\\Rightarrow m = \dfrac{475-400}{10-5}\\\Rightarrow m = \dfrac{75}{5} = 15

So, slope of the line = 15

<em>It has a positive slope and the function will be increasing with the increasing value of 'x'.</em>

<em></em>

<u>Part B:</u>

Point slope form of a line is given as:

y-y_1=m(x-x_1)

Putting (x_1, y_1)\ as\ (5, 400):

y-400=15(x-5)

Slope intercept form:

y=mx+c where c is the intercept.

y =15x+c

Putting (x,y) as (5, 400) to find c:

400=15\times5+c\\\Rightarrow c = 325

So, the equation in slope intercept form:

y =15x+325

Standard form of line:

Ax+By+C=0

Rewriting the slope intercept form:

15x-y+325=0

<u>Part C:</u>

Using the function notation, putting y = g(x) in slope intercept form:

g(x) =15x+325

<u>Part D:</u>

Balance after 12 days = ?

i.e. g(x) = ? at x = 12

Putting x = 12 in g(x) =15x+325

g(12) =15\times 12+325\\\Rightarrow g(12)=505

7 0
3 years ago
? What is the solution of a system defined by 5x + 2y = 30 and -5x + 4y = 0? 0 (0, 30) O (6, 15) O (4,5) 0 (6,0)​
Pepsi [2]

Answer:

(4,5)

Step-by-step explanation:

Hi there!

We are given the system of equations:

5x+2y=30

-5x+4y=0

and we need to find the solution

there are 3 ways to solve a system of equations, but let's use the elimination method, where we will add the systems together to clear one variable out, solve for the other variable, and use the value of the solved variable to find the other variable

When we clear a variable, the coefficients need to be opposites (ex. 2 and -2). In this case, the coefficients in front of x are 5 and -5 in the first and second equation respectively

5x+2y=30

-5x+4y=0

add the equations together

6y=30

divide both sides by 6

y=5

we found the value of y

now we need to find the value of x

substitute 5 as y into either one of the equations (ex. the first one) to solve for x

5x+2(5)=30

multiply

5x+10=30

subtract 10 from both sides

5x=20

divide both sides by 5

x=4

so the answer is x=4, y=5; as a point, it's <u> (4,5)</u>

Hope this helps! :)

3 0
3 years ago
Olivia had math and reading homework tonight. Olivia can solve each math problem in 1 minute and she can read each page in 1.5 m
ziro4ka [17]

Answer: the system of equations are

x + y = 22

x + 1.5y = 30

Step-by-step explanation:

Let x represent the number of math problems that Olivia solved.

Let y represent the number of pages that Olivia read.

Olivia completed a total of 22 math problems and pages of reading. This means that

x + y = 22- - - - - - - - - - - - - - -1

Olivia can solve each math problem in 1 minute and she can read each page in 1.5 minutes. Olivia completed a total of 22 math problems and pages of reading in 30 minutes. This means that

x + 1.5y = 30 - -- - - - - - - - - -2

8 0
3 years ago
Question in picture below
Ulleksa [173]

Answer:

It's sideways, I can't read it.

Step-by-step explanation:

5 0
2 years ago
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