Unit sales for new product ABC have varied in the first seven months of this year as follows: Month Jan Feb Mar Apr May Jun Jul Unit Sales 148 329 491 167 228 285 441 What is the (population) standard deviation of the data

Answers

Answer 1

Answer:

[tex]\sigma = 121.53[/tex]

Step-by-step explanation:

Required

The population standard deviation

First, calculate the population mean

[tex]\mu = \frac{\sum x}{n}[/tex]

This gives:

[tex]\mu = \frac{148+ 329+ 491 +167+ 228+285+ 441}{7}[/tex]

[tex]\mu = \frac{2089}{7}[/tex]

[tex]\mu = 298.43[/tex]

The population standard deviation is:

[tex]\sigma = \sqrt{\frac{\sum(x - \bar x)^2}{n}}[/tex]

So, we have:

[tex]\sigma = \sqrt{\frac{(148 - 298.43)^2 + ..........+ (441- 298.43)^2}{7}}[/tex]

[tex]\sigma = \sqrt{\frac{103387.7143}{7}}[/tex]

[tex]\sigma = \sqrt{14769.6734714}[/tex]

[tex]\sigma = 121.53[/tex]


Related Questions

Find the slope of every line that is parallel to the line on the graph ob Enter the correct answer. 6 4 OOO DONE Clear al N ? (-8,0) 10-12 pop -6 ko 8 ४ 2 2 8 do​

Answers

Step-by-step explanation:

x=-6 y= 0

x0 y= -1

y=mx+b

b= -1

0= -6m -1

-6m= 1

m= -1/6

parallel lines have the same slope

slope = -1/6

f(x)=3x-7 and g(x)=(1/3)x+7 are inverses of each other.

.True
.False

Answers

Answer:

False

Step-by-step explanation:

Sorry for the lat reply hopefully you still have that question ready. But basically in order for these equations to be considered inverses of one another it has to map its domain value and switch it to the range value and in this case it does not match the inverse when graphed.

what was the original price of the car? MUST SHOW ALL STEPS OF THE PROCESS.

Answers

Answer:

19219.48

Step-by-step explanation:

16540x0.162+16540

The original price would be 100%

It was marked down 16.2%

100 % - 16.2% = 83.8%

The price you paid was 83.8% of the original price.

To find the original price divide the amount you paid by the percentage of the original price:

16,540 / 0.838 = 19.737.47

Original price: $19,737.47

Given the points (-7, -1) and (8, 5) find the slope.

Answers

Answer:

(-7, -1) =(x1,y1)

(8, 5)=(x2,y2)

now

[tex]slope (m) = \frac{y2 - y1}{x2 - x1} [/tex]

[tex]or = \frac{5 - ( - 1)}{8 - ( - 7)} [/tex]

[tex]or = \frac{5 + 1} {8 + 7} [/tex]

[tex]or = \frac{6}{15} [/tex]

[tex]or = \frac{2}{5} [/tex]

Step-by-step explanation:

Explanation is in the attachment

hope it is helpful to you ☺️

Is x-3 a factor of x- 9x² - 14x + 24?

Answers

9514 1404 393

Answer:

  no

Step-by-step explanation:

We assume you are concerned with the cubic

  x³ -9x² -14x +24

Its factors are all irrational, as shown in the attached graph. x-3 is not a factor.

__

x-3 is a factor if the expression evaluates to zero when x=3. Here, it does not.

  ((x -9)x -14)x +24 for x=3 is ...

  ((3 -9)(3) -14)(3) +24 = (-18 -14)(3) +24 = -96 +24 = -72

The remainder from division by x-3 is not zero, so x-3 is not a factor.

Suppose you have $1750 in your savings account at the end of a certain period of time. You invested $1500 at a 3.72% simple annual interest rate. How long, in years, was your money invested?

Answers

Answer:

4.48 years

Step-by-step explanation:

The formula for simple interest is

A = P(1+r*t), with A being the final amount, P being the initial amount, r being the interest rate, and t being the time. Plugging our values in, we get

1750 = 1500(1+0.0372 * t)

Note that 3.72 was translated into 0.0372 as changing percents to decimals requires dividing by 100

Expanding our equation, we get

1750 = 1500 + 55.8 * t

subtract 1500 from both sides to isolate the t and its coefficient

250 = 55.8 * t

divide both sides by 55.8 to get t

t = 4.48

f(x) = 4x3 + 7x2 – 2x – 1
g(x) = 4x – 2
Find (f - g)(x).

please help

Answers

9514 1404 393

Answer:

  (f-g)(x) = 4x^3 +7x^2 -6x +1

Step-by-step explanation:

(f -g)(x) = f(x) -g(x)

  = (4x^3 +7x^2 -2x -1) -(4x -2)

  = 4x^3 +7x^2 +(-2-4)x +(-1+2)

(f -g)(x) = 4x^3 +7x^2 -6x +1

I didn't understand this to be honest I thought I had to find what jm and lm were together and then subtract from the whole total...but ended up being wrong. whats the correct answer?​

Answers

Answer:

The correct answer is 3x-2

Step-by-step explanation:

It gives you the expression for JM and LM, and it asks for JL. Therefore, if you take away LM from JM, you are left with JL. You must subtract 2x-6 from 5x-8.

∴5x-8-(2x-6)

Do not forget to distribute the negative since you are subtracting, so instead of subtracting 6 from 8, you will be adding 6 to 8 because two negatives make a positive.

Visually demonstrate the decimal .3 in the hundred square below. Explain how you what to shade.

Answers

shade in the first 3 columns. You shade these in because .3 is basically 3/10s therefore, you shade 3 out of the 10 columns

Find the value of x in each case

Answers

Answer:

x = 69

Step-by-step explanation:

m<M = x

From the triangle we know that

m<M + m<MNQ + m<MQN = 180

From the parallel lines we know that

m<MNQ = m<UQN = x

x + x + 42 = 180

2x + 42 = 180

2x = 138

x = 69

Emily drove to town with an average speed of 32 miles per hour, and then back home with an average speed of 38 miles per hour. If her total traveling time was 42 minutes, how far is it from home to town?

Answers

Answer:

12.16 miles

Step-by-step explanation:

Speed - s,   Distance - d,  Time - t

Equation of time is:

t = d/s

Given,

s1 = 32 m/h, s2 = 38 m/h, t1 + t2 = 42 min = 42/60 h = 7/10 h

Total time is the sum of time values to and from the town:

d/32 + d/38 = 7/10d/16 + d/19 = 7/5d(1/16 + 1/19) = 7/5d(16 + 19) = 7(16*19)/535d = 425.6d = 425.6/35d = 12.16

It is given that,

→ s1= 32 miles/h

→ s2 = 38 miles/h

Now t1 + t2 is,

→ 42 min

→ 42/60 hours

→ 7/10 hours

The formula we use,

→ Time = Distance/Speed

→ t = d/s

Then the total time is the,

Sum of time values to and from the town.

→ d/32 + d/38 = 7/10

→ d/16 + d/19 = 7/5

→ d{(1/16) + (1/19)} = 7/5

→ d(16 + 19) = (7/5) × (16 × 19)

→ 35d = 425.6

→ d = 425.6/35

→ d = 12.16

Hence, the distance is 12.16 miles.

Are the triangles similar ? If they are identify the similarity ratio.

Answers

Answer:

C

Step-by-step explanation:

The triangles are similar and the scale factor can be find out by computing 18/6=15/5=9/3=3


12
х
8
6
Find the value of x.
A) 9
B) 16
C) 14
D) 10

Answers

Answer:

The answer is 10, hope this helps!

Step-by-step explanation:

ASAP!!!!!!!!! Please show process!!! Using law of sines!!!!!!!! Thank you so much

Answers

Answer:

the answers are on the picture but the numbers may be rounded

Enter an equation in point-slope form for the line.
Slope is −6 and (1, 1) is on the line.

Answers

Answer:

y - 1 = -6(x - 1)

General Formulas and Concepts:

Algebra I

Point-Slope Form: y - y₁ = m(x - x₁)

x₁ - x coordinate y₁ - y coordinate m - slope

Step-by-step explanation:

Step 1: Define

Identify

Point (1, 1)

Slope m = -6

Step 2: Find Equation

Substitute in variables [Point-Slope Form]:                                                     y - 1 = -6(x - 1)
y - 1= -6(x - 1) is the correct answerrrrrr

Please help me >_< will give out brainliest

Answers

Answer:  1080

====================================================

Explanation:

We have an octagon because there are n = 8 sides. The diagram below shows one way to number the sides so you can count them efficiently (without missing any or double counting any).

----------------

Plug n = 8 into the formula below

S = 180(n-2)

S = 180(8-2)

S = 180(6)

S = 1080

The 8 interior angles add up to 1080 degrees.

Date Page The male population of a village is 9840 and the female population is 8965. Find the total population of the village ii) How many more males are there than females

Answers

The total population of the village is 18,805 people. The difference between the male and female population is 875 females

Simplify the following expression.
3x4 + 2x3 - 5x2 + 4x2 + 6x-2x-3x4 +7XS - 3X3

Answers

Answer:

39+4x

Step-by-step explanation:

Since two opposites add up to zero, remove them from the expression

2x3-5x+2+4x2+6x-2x+7x5

Calculate the sum or difference

39+6x-2x

If the cutoff Z score on the comparison distribution is 2.33 and the sample value has a score of 2.35 on the comparison distribution, the correct decision is to:____.
A) fail to reject the null hypothesis.
B) reject the null hypothesis.
C) accept the researc hypothesis.
D) reject the research hypothesis.

Answers

Answer:

B) reject the null hypothesis.

Step-by-step explanation:

23 greater than b is at least -276

Answers

Answer:

23 + b ≤ -276

Step-by-step explanation:

In this exercise, you're required to write an algebraic expression for the word problem. Thus, you'll write out a mathematical equation using the given values and unknown variable.

Translating the word problem into an algebraic expression, we have;

23 + b ≤ -276

Simplifying further, we have;

b ≤ -276 - 23

b ≤ -299

Which system of equations shows a solution of (0.5, -1)?
Need answers asap plzzz

Answers

Answer:

The first graph

Step-by-step explanation:

Cathy is planning to take the Certified Public Accountant Examination (CPA exam). Records kept by the college of business from which she graduated indicate that 73% of students who graduated pass the CPA exam. Assume that the exam is changed each time it is given. Let n = 1, 2, 3, ... represent the number of times a person takes the CPA test until the first pass. (Assume the trials are independent).
(a) What is the probability that Cathy passes the CPA test on the first try?
(b) What is the probability that Cathy passes the CPA test on the second or third try?

Answers

Answer:

The responses to these question can be defined as follows:

Step-by-step explanation:

For point a:

[tex]\to P(1) = 0.73[/tex]

For point b:

[tex]\to P(2\ or\ 3) = P(2) + P(3)[/tex]

                    [tex]= 0.27 \times 0.73 + 0.27\times 0.27\times0.73\\\\=0.1971+0.1971\times 0.27\\\\=0.1971+0.053217\\\\=0.250317[/tex]

"1. A z-score of zero always means
 
a. 
the raw score does not exist.
 
b. 
the raw score exists, but is negligible.
 
c. 
the raw score almost never occurs.
 
d. 
the raw score is equal to the mean."

Answers

Answer:

d.

Step-by-step explanation:

Here is an answer I found on the internet (kudos to investopedia.com)

If a Z-score is 0, it indicates that the data point's score is identical to the mean score.

In other words, it's saying that a z-score of zero has a standard deviation of zero.

HELP ASAP please and thanks !!!

Answers

Answer:

t = 1

Step-by-step explanation:

16 - 2t = 5t + 9

7 = 7t

t = 1

16 - 2t = 5t + 9
Subtract nine for both sides
7 - 2t = 5t
Add 2t on both sides
7 = 7t
Divide by 7 for both sides
1 = 1t

find the slope of the line graphed above

Answers

Answer:

The slope of the line is -6.

I litterally don't understand how to do this- ​

Answers

Answer:

Consider points (-1, 0) and (0, 1) :

[tex]{ \tt{slope = \frac{y _{2} - y _{1} }{x _{2} - x _{1} } }} \\ { \tt{slope = \frac{1 - 0}{0 - ( - 1)} }} \\ { \boxed{ \bf{slope = 1}}}[/tex]

Answer:

slope 1

Step-by-step explanation:

above ANS is correct mark it as branliest ANS

Feedback:Correct answer
Question 2 of 10
10.0 Points
3
Find the interquartile range for a data set having the five-number
summary: 4.6, 14.3, 19.7, 26.1, 31.2
A. 26.6
B. 11.8
C. 11.5
D. 15.1

Answers

Correct me if I’m wrong but I think it’s C

If a number is added to the numerator of 5/6 and twice as much is added to the denominator the result is 3/5 find the number

Answers

Answer:

"(5+x)/(6+2x) = 3/5" is the answer


Find the circumference of a circle with a diameter of 50 centimeters. Round your answer to the nearest
centimeter.


Answers

Given :-

Diameter of circle = 50 cm .

To Find :-

The circumference of the Circle.

Solution :-

We know that the circumference of the Circle with radius r is given by ,

=> C = 2πr .

Here r is 50cm .

=> C = 2 × 3.14 × 50 cm

=> C = 314 cm .

Hence the required answer is 314 cm .

Answer:

Step-by-step explanation:

b 75

Please help me out here. ​

Answers

Answer:

19.634954085

Step-by-step explanation:

Pipe Diameter = Height of the trench

Pipe Height = Width of the trench

V = Pi*r^2*L/ Pi*r^2*h

= 22/7 x (2.5/2)^2 x 4

= 19.634954085

Other Questions
The xiohoid process is a form of artificial respirationTrue or false identify the following organism and state to which phylum it belongs Hoa was born in Hue, but now she is living in Ha Noi with her aunt and uncle. She went toHa Noi two years ago. Now she is studying at Quang Trung School. Yesterday was herthirteenth birthday. She had a small party with her friends. They ate a lot of food, fruits andcakes. In the evening Hoa had a stomachache. Her aunt was worried. She called a doctor.The doctor arrived and gave Hoa some medicine. She took the medicine and went to bed.Today Hoa feels better.1. Where was Hoa born?______________________________________________________________________2. When did she go to Ha Noi?______________________________________________________________________3. Did they eat a lot of food, fruits and cakes?______________________________________________________________________4. Why did Hoa's aunt call the doctor?_________________________________ 3. Ta n hon phin hp s thm khi:A. Ngi yu cu vng mt ln th nht khng c n xin xt x vng mtB. Ngi yu cu c triu tp hp l ln th hai m vn vng mt C. Kim st vin vng mt D. Ngi yu cu vng mt ln th nht c n xin xt x vng mt A long distance runner running a 5km track is pacing himself by running 4.5km/h at 9km/h and the rest at 12.5km/h9 An investor has $150,000 to invest in two types of investments. Type A pays 5% annually and type B pays 6% annually. To have a well-balanced portfolio, the investor imposes the following conditions. At least one-third of the total portfolio is to be allocated to type A investments and at least one-third of the portfolio is to be allocated to type B investments. What is the optimal amount that should be invested in each investment Un tractor tira de un remolque cargado sobre un camino plano libre de friccin, con una fuerza horizontal constante de 440 N. Si la masa total del remolque y su contenido es de 275 kg, Qu aceleracin tiene el remolque? Formula a utilizar : F = m . A * How can computer be beneficial in agriculture and tourism 2.6767.......How do I write 2.67 w/ repeating 67 as a simplified fraction,...Please show work (or provide explination) Calculate 6+9i/-1+4i What return do you expect earn if you buy the 3 years ,10% coupon bond today and sell it in exactly 1 year( if current price is 1051.45 rupees) Drag each tile to the correct location on the image.Both the climate and physical features of Mesopotamia aided in the formation of its civilizations. Sort the items based on whether they result from the climate or the physical features.HELP FAST PLEASE I WILL MARK BRAINLIEST!!!! True or false: legal residents of Puerto Rico and Guam are considered full citizens of the US. please solve asap thanks plssssss help me answer this quickly How is eukaryotic RNA processed before leaving the nucleus y = 4x 10y = 2What is the solution to the system of equations?(3, 2) (2, 3)(2, 2)(2, 2) Am faceehenda non-sequ untiur aut ut que debita con eate essinvenda corion nonserest, coriatistis min nonem If there are:6 red marbles10 yellow marbles5 green marblesand 1 blue marbleWhat is the probability of picking 1 red marble and 1 green marble? (Once a marble is chosen it IS put back into the box). (Write your answer in the form of a decimal, round to 2 places). Using Eulers formula, how many edges does a polyhedron with 9 faces and 14 vertices have?