You will need the same dataset used for problem 3 in homework 1 (the dataset obtained from the yahoo website with the company you selected). Use Excel to calculate the average and standard deviation of the close data column. Assume that these two numbers represent the population (parametric mean and population standard deviation, respectively, for the variable length (in cm) in a population printout of the data to your homework and write down the ticker code on it.
a. Calculate the probability of sampling at random a fish that is smaller in size than the value you would obtain by subtracting half the standard deviation from the average [x will be equal to: -(6/2)]
b. Calculate the probability of sampling at random a fish that is greater in size than the value you would obtain by adding half the standard deviation from the average [x = u + (0/2)]
c. Calculate the probability of sampling at random a fish that has a size between the two values [x = -(6/2), x=u +(6/2)) used in parts "a" and "b," respectively
d. Calculate the 25th and 75 percentiles of fish size for the population using the normal distribution table. e. Imagine that 5 individuals are sampled at random from this fish population. Calculate the probability that the average calculated will be less than the value: -(6/3)

Answers

Answer 1

Answer:

a) The probability of sampling at random a fish that is smaller in size than the value you would obtain by subtracting half the standard deviation from the average is 0.3085.

b) The probability of sampling at random a fish that is greater in size than the value you would obtain by adding half the standard deviation from the average is 0.3085.

c) The probability of sampling at random a fish that has a size between the two values is 0.383.

d) The 25th and 75 percentiles of fish size for the population using the normal distribution table is 5.69 and 5.87 respectively.

e) The probability that the average calculated will be less than the value is 0.3707.

Step-by-step explanation:

For the given data set mean [tex](\mu) = 5.75913[/tex]

Standard deviation [tex](\sigma) = 0.172229[/tex]

Variance [tex](\sigma2) = 0.0296[/tex]

Here we get is

a)

[tex]P(x < \mu - \sigma/2) = p(x < 5.673) \\\\ = 0.3085[/tex]

b)

[tex]P(x < \mu + \sigma/2) = p(x < 5.845) \\\\= 0.3085[/tex]

c)

[tex]P(\mu - \sigma/2 < x < \mu + \sigma/2) = p(5.673 < x < 5.845) \\\\= 0.383[/tex]

d)

25th percentile:-

[tex]= 25*[(n+1)/100]th term \\\\= 5.69[/tex]

75the percentile:-

[tex]= 75*[(n+1)/100]th term\\\\ = 5.87[/tex]

e)  

[tex]p(x < \mu - \sigma/3) = p(x < 5.7017) \\\\= 0.3707[/tex]


Related Questions

What is ratio 1 hour and 15 minutes to 50 minutes in lowest terms?

Answers

Answer:

First, convert the hour to minutes.

1 hr = 60 mins

15 mins: 60 mins

1:4

Oh wait I read the question wrong, give me 5 minutes lol. Edit: Nvm, I read it right :). This is the answer.

Answer:

3:2

Step-by-step explanation:

1 hour and 15 minutes can be seen as 75 minutes so it would be

75:50

The highest common mutiple of 75 and 50 are 25. Divide both (75&50) by 25.

The answer would be 3:2

what is the x and y intercepts for y=3x-1 on a graph

Answers

Answer:

x = [tex]\frac{1}{3}[/tex]   y = -1

Step-by-step explanation:

x = 0 to solve for y

[tex]y=3x-1[/tex]

[tex]y=3(0)-1[/tex]

[tex]y=-1[/tex]

y = 0 to solve for x

[tex]y=3x-1[/tex]

[tex]0=3x-1[/tex]

Add 1 to both sides

[tex]1=3x[/tex]

Divide by 3 to isolate x

[tex]\frac{1}{3} =x[/tex]

Point Z has the coordinates (−3,5) and is translated left 2 units and down 2 units to create point Z′.
What are the coordinates of point Z′?

Answers

Answer:

(-5, 3)

Step-by-step explanation:

it translated left 2 units => x'= x-2

down 2 units=> y'= y-2

Answer:-5, 3

Step-by-step explanation:

Kenneth did of 1/3 of his laundry on Sunday and 7/15 of his laundry on monday. what fraction of laundry did kenneth do in total?



Answers

1/3 + 7/15 =

4/5


Therefore the answer is 4/5. So Kenneth did 4/5 of his laundry in total.


Hope this helps!
So first find a common denominator.
It is 15. 1/3 turns into 5/15, because
3x5 = 15 & 5x1 = 5
There equaling 5/15
5/15 + 7/15 = 12/15
Both are divisible by 3
3 goes into 12, 4 times
3 goes into 15, 5 times
Giving you the final answer of 4/5

What is the measure of A?

Answers

Answer:

60

Step-by-step explanation:

Since the sides are equal, the angles have to be equal

The angles of a triangle add to 180

180/3 = 60

Angle A = 60

Answer:

60

Step-by-step explanation:

Because each side is equal the angles are as well, therefore the angles must add up to 180

180/3=60

please help i need the explanation to go look back at for similar questions in the future. last word is Bold.​

Answers

Answer:

50

Step-by-step explanation:

The given angles in the triangle are vertically opposite angles. Hence;

9x - 4 = 8 + 7x

Collect the like terms

9x - 7x = 8 + 4

2x = 12

x = 12/2

x = 6

Get the bolded angle

Bolded angle= 8 + 7x

Blded angle = 8 + 7(6)

Bolded angle = 8 + 42

Bolded angle = 50

After sales tax, a $90 lamp costs
$95.40. What is the sales tax
percentage?

Answers

Answer:

the sales tax percentage is 6%

Step-by-step explanation:

To solve this you want to first find what percent $95.40 is of $90. Then we can subtract 100% to find the extra percent (the sales tax).

95.40 is what percent of 90?

95.40 = X · 90

Divide by 90 on both sides.

1.06 = X

So now we know that 95.40 is 106% of 90. We subtract 100% from 106% to get 6%. Therefore the sales tax percentage is 6%.

What is the answer to number question

Answers

Answer:

1.5

Step-by-step explanation:

5*.3

Charlie wants to order lunch for his friends. He'll order 6 sandwiches and a $3 kid's meal for his little brother. Charlie has $27. How much can he spend on each sandwich if they are all the same price?

i need equation and awnser plz :)

Answers

Answer:

Step-by-step explanation:

Charlie has $27

He spent $3 for kid's meal for his little brother

Remaining money=27-3=$24

Number of Sandwiches he wants to buy = 6

Money he needs to pay for each sandwich = 24/6 = $4

Answer:

a) Answer: $4 or less

b) Inequality: 6x + 3 ≤ 27

Step-by-step explanation: took the quiz and got it right!

What’s the area ?????

Answers

Answer:

The answer is D. 22 square feet

Answer:

D

Step-by-step explanation:

3(2) + 8(2) = 22 sq ft

Solve y=x³ with function y=fx​

Answers

Answer:

Hope it will help you!!!!

please help me please help me please help me please help me please help me please help me please​

Answers

Answer:

q5 is 4

q6 is 72

Step-by-step explanation:

yan na po ..sana maktulong sau

1st question- 4 digits
2nd question- 72

3. A pair of sneakers that costs $60.50 is on sale for 20% off. Find the DISCOUNT. (5 Points) $20 O $12.01 $12.10 $48.40​

Answers

Answer:

12,10

Step-by-step explanation:

60,50:100x20=12.10

i think the ans is $12.10

a number added to 3 is equal to negative 5, find the number​

Answers

Answer:

-8

Step-by-step explanation:

An equation at represents this situation is:

-5 = 3 + x

Find x by;

-5 - 3 = -8

So x is -8:

-5 = 3 + -8 (TRUE)

Hope this helps

[tex]\sf \bf {\boxed {\mathbb {GIVEN:}}}[/tex]

Sum of the two numbers = [tex]-5[/tex]

One of the number = [tex]3[/tex]

[tex]\sf \bf {\boxed {\mathbb {TO\:FIND:}}}[/tex]

The other number.

[tex]\sf \bf {\boxed {\mathbb {SOLUTION:}}}[/tex]

The other number is [tex]\sf\blue{-8}[/tex].

[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:\:EXPLANATION:}}}[/tex]

Let the other number be [tex]x[/tex].

As per the question, we have

[tex]Sum \: \: of \: \: the \: \: two \: \: numbers = -5 [/tex]

[tex]➺ \: 3 + x = - 5[/tex]

[tex]➺ \: x = - 5 - 3[/tex]

[tex]➺ \: x = - 8[/tex]

[tex]\sf\purple{Therefore,\:the\:other\:number\:is\:-8.}[/tex]

[tex]\sf \bf {\boxed {\mathbb {TO\:VERIFY :}}}[/tex]

[tex] ➪ \: 3 + ( - 8) = - 5[/tex]

[tex] ➪ \: 3 - 8 = - 5[/tex]

[tex] ➪ \: - 5 = - 5[/tex]

➪ L. H. S. = R. H. S.

[tex]\sf\orange{Hence\:verified.}[/tex]

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35\:ヅ}}}}}[/tex]

Find the volume of a sphere with a radius of 9 inches. Use 3.14 for π
.

Round your answer to the nearest hundredth.

Answers

Answer:

The volume of the sphere is 3053. 63 inches.

Step-by-step explanation:

Formula for volume of a sphere is : V = 4 /3 · π · r³

V = 4/3 · π · 9³

V ≈ 3053. 63

The volume of the sphere is 3053. 63 inches.

the angles of a triangle is 2x,3x and 5x find the value of x​

Answers

Here,

2x+3x+5x = 180 (sum of all angles of triangle are equal to 180)

or, 10x = 180

or, x = 180/10

x = 18

Therefore, the value of x is 18.

Hope this solution may help you

Answer:

2x + 3x + 5x = 180(sum of all the interior angles of a triangle is 180° )

10x = 180°

x=180/10

x = 18°

The points A(-3, -4) and B(5, 0) form a line segment. Find the coordinates of the point P that partitions segment AB in a 2:3 ratio.

Answers

Answer:

Step-by-step explanation:

let the coordinates of P be (x,y)

[tex]x=\frac{mx2+nx1}{m+n} \\y=\frac{my2+ny1}{m+n} \\x=\frac{2(5)+3(-3)}{2+3} \\x=\frac{10-9}{5} =\frac{1}{5} =0.2\\y=\frac{2(0)+3(-4)}{2+3} \\y=\frac{0-12}{5} =\frac{-12}{5} =-2.4\\[/tex]

so coordinates of P are (0.2,-2.4)

Find the mean of the data summarized in the given frequency distribution. Compare the computed mean to the actual mean of 47.3 miles per hour.Speed (miles per hour) 42-45 46-49 50-53 54-57 58-61Frequency 21 15 6 4 2The mean of the frequency distribution miles ______ per hour. (Round to the nearest tenth as needed.)Which of the following best describes the relationship between the computed mean and the actual mean?A. The computed mean is not close to the actual mean because the difference between the means is more than 5%.B. The computed mean is not close to the actual mean because the difference between the means is more than 5%.C. The computed mean is not close to the actual mean because the difference between the means is less than 5%.D. The computed mean is close to the actual mean because the difference between the means is less than 5%.

Answers

Answer:

47.4167

D. The computed mean is close to the actual mean because the difference between the means is less than 5%

Step-by-step explanation:

Given the distribution :

Speed(m/hr) ___ midpoint(x) ___ F ___fx

42 - 45 _______ 43.5 ________21 __ 913.5

46 - 49 _______47.5 _________15 __712.5

50 - 53 _______ 51.5 _________6 __ 309

54 - 57 _______ 55.5 ________ 4 ___ 222

58 - 61 ________59.5 ________ 2 ___ 119

The midpoint, x= sum of lower and upper boundary divided by 2

For instance, (42 + 45) / 2 = 43.5

The computed mean, Σfx / Σf = 2276 / 48 = 47.4167

Actual mean = 47.3 miles

(47.4167 - 47.3) / 47.3 * 100% = 0.24%

Anyone can help me ?

Answers

9514 1404 393

Answer:

∠x = 80°∠y = 40°∠z = 60°

Step-by-step explanation:

The angle marked x and the one marked 100° form a linear pair, so are supplementary. The measure of x is ...

  x = 180° -100° = 80°

__

The angle marked 40° and the one marked y are "alternate interior angles" with respect to the parallel lines and the diagonal that crosses them. As such, they have the same measure:

  y = 40°

__

The angle marked 100° and the sum of angles in the lower right corner are "corresponding" angles, so have the same measure. That is ...

  100° = 40° +z

  z = 100° -40° = 60°

PLEASE ANSWER ASAP

Select all equations for which -2 is a solution.

1) x^2=4
2) x^2=-4
3) x^3=8
4) x^3=-8
5) -x^2=4
6) (-x)^2=4

Answers

Answer:

1.

4.

6.

Mark me as brainlist ez

Chan drew the triangle below. Which two angles are congruent? ​

Answers

Answer:

Q and R

Step-by-step explanation:

So lets look at the triangle.

P seems very thin, wheareas Q and R seem wider.

Normally, if given the degrees of the angles, we can subtract them from 180, which is the degrees of a full triangle, to find if two or more angles are congruent.

In this case however, we just go off of looks.

We see that angle P points strait up. This would not be the case if either Q or R where not going at the same angle, for if they were not congruent, angle P would be tilted to either the left or rihgt side.

So in the end, the best answer is Q and R.

HOpe this helps!

The graph of an exponential function passes through (2,−12) and (3,−24). Find the exponential function that describes the graph.

Answers

no fancy math here, just some reasoning with words. I just feel like it

for one step in x-direction the value of the function doubles, so the common factor is 2.

so let's trace it back

(1,-6)

(0, -3)

For an exponential function the y-intercept is the "initial value".

do let's write is as a function

[tex]y = - 3 \times {2}^{x} [/tex]

you could also use the points and plug their numbers into the general formula, but I felt this explanation could give you more understanding, since it's meant to be more intuitive.

hope it helps

The height of Ahmed is 30 inches . Convert his height to centimeters​

Answers

Answer:

height is 76.2 centimeters

Find the equation of the images of the following lines when the reflection line is the x-axis:

a. y = -x + 7 b. y = 4

Answers

I think the answer is b sorry if I get it wrong

Find the constant of variation when t varies directly as s, and t =
260 when s = 65.

Answers

Answer:

4

Step-by-step explanation:

Use the direct variation equation, y = kx.

Replace y with t, and replace x with s:

y = kx

t = ks

Plug in 260 as k and 65 as s, then solve for k (the constant of variation):

t = ks

260 = k(65)

4 = k

So, the constant of variation is 4.

Multiply the polynomials.
(4x- + 4x + 6)(7x + 5)

Answers

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: 28 {x}^{3} + 48 {x}^{2} + 62x + 30}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex](4 {x}^{2} + 4x + 6)(7x + 5)[/tex]

[tex] = \: 7x(4 {x}^{2} + 4x + 6) + 5(4 {x}^{2} + 4x + 6)[/tex]

[tex] = \: 28 {x}^{3} + 28 {x}^{2} + 42x + 20 {x}^{2} + 20x + 30[/tex]

Combining like terms, we have

[tex] = \: 28 {x}^{3} + (28 {x}^{2} + 20 {x}^{2} ) + (42x + 20x) + 30[/tex]

[tex] = \: 28 {x}^{3} + 48 {x}^{2} + 62x + 30[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

The hourly earnings (in dollars) for a sample of 25 railroad equipment manufacturers are:15.60 18.7514.60 15.8014.3513.90 17.5017.5513.8014.20 19.05 15.35 15.20 19.45 15.95 16.50 16.30 15.2515.05 19.10 15.20 16.22 17.75 18.40 15.25Find the median and the mode(s)(if they exist) of the data. What is the interquartile range

Answers

Answer:

[tex]Median = 15.80[/tex]

[tex]Mode = 15.20\ \&\ 15.25[/tex]

[tex]IQR = 2.35[/tex]

Step-by-step explanation:

Given

[tex]15.60,\ 18.75,\ 14.60,\ 15.80,\ 14.35,[/tex]

[tex]13.90,\ 17.50,\ 17.55,\ 13.80,\ 14.20,[/tex]

[tex]19.05,\ 15.35,\ 15.20,\ 19.45,\ 15.95,[/tex]

[tex]16.50,\ 16.30,\ 15.25,\ 15.05,\ 19.10,[/tex]

[tex]15.20,\ 16.22,\ 17.75,\ 18.40,\ 15.25.[/tex]

Solving (a): The median and the mode

First, we sort the data.

[tex]13.80,\ 13.90,\ 14.20,\ 14.35,\ 14.60,\ 15.05,\ 15.20,\ 15.20,\ 15.25,\ 15.25,[/tex]

[tex]15.35,\ 15.60,\ 15.80,\ 15.95,\ 16.22,\ 16.30,\ 16.50,\ 17.50,\ 17.55,\ 17.75,[/tex]

[tex]18.40,\ 18.75,\ 19.05,\ 19.10,\ 19.45.[/tex]

The median position is:

[tex]Median = \frac{n + 1}{2}th[/tex]

[tex]Median = \frac{25 + 1}{2}[/tex]

[tex]Median = \frac{26}{2}[/tex]

[tex]Median = 13th[/tex]

The 13th item is: 15.80

Hence:

[tex]Median = 15.80[/tex]

The modes are:

[tex]Mode = 15.20\ \&\ 15.25[/tex] --- they both have frequency of 2 while others occur once

Solving (b): The interquartile range

This is calculated as:

[tex]IQR = Q_3 - Q_1[/tex]

Since the median is at the 13th position, Q1 is:

[tex]Q_1 = \frac{1 + 13}{2}th[/tex]

[tex]Q_1 = \frac{14}{2}th[/tex]

[tex]Q_1 = 7th[/tex]

The 7th item is: 15.20

[tex]Q_1 = 15.20[/tex]

Similarly, Q3 is:

[tex]Q_3 = \frac{13+n}{2}[/tex]

[tex]Q_3 = \frac{13+25}{2}[/tex]

[tex]Q_3 = \frac{38}{2}[/tex]

[tex]Q_3 = 19th[/tex]

The 7th item is: 17.55

So:

[tex]Q_3 = 17.55[/tex]

Hence,

[tex]IQR = 17.55 - 15.20[/tex]

[tex]IQR = 2.35[/tex]

what does $42,690e(0.03)×(20) equal​

Answers

Answer:

77,786.251

Step-by-step explanation:

Answer:

77,786.251 is the answer that equals $42,690e(0.03)×(20)

Step-by-step explanation:

hey mate hope this help you...!

What is the probability of spinning a natural number and a number less than 5?

Answers

Answer:

The probability of spinning a 5 or less is 1/8 or, you can say ⅛

Really Hope I helped! ♡♡♤♤♧♧

The probability of spinning a natural number and a number less than 5 would be 2/3.

What is probability?

The probability exists the branch of mathematics involving numerical descriptions of how likely an event is to happen, or how likely it exists that a proposition is true. The probability of an event exists in a number between 0 and 1, where, roughly speaking, 0 demonstrates the impossibility of the event and 1 demonstrates certainty.

No of total outcomes =6

No of favorable outcomes=4 {1,2,3,4}

Therefore,  Probability of getting a number less than 5 is= 4/6 = 2/3.

To learn more about probability refer to:

https://brainly.com/question/13604758

#SPJ2

The diagram below is divided into equal parts. Which shows the ratio of unshaded section to shaded sections

Answers

Answer:

its D

Step-by-step explanation:

Answer:

its D

Step-by-step explanation:

there is 5 unshaded and one shaded

Other Questions
A researcher has obtained the number of hours worked per week during the summer for a sample of 15 students. 40 25 35 30 20 40 30 20 40 10 30 20 10 5 20 Using this data set, compute the following: a. Median b. Mean c. Mode d. 40th percentile e. Range f. Sample variance g. Standard deviation How do mountains play a role in precipitation patterns?a. As water vapor condenses,the air gets warmer b.it changes the amount of rain received c.it changes the direction of the wind d.as vapor condenses,it depends rain or snow on windward slopes Solve for CD using the following image The valid digits in a measurement are called _____ digits. Use the drawing tools to form the correct answer on the graphGraph the line that represents this equation:y +2 = 1/2 (x + 2) what type of white blood cell produced antibodies ? Find the mode of the data I need help pls answer:Express in simplest form:4(X^2-1)-(X^2-8x-5) Write complete sentences using the elements given and the appropriate indirect object pronouns. Use the present tense.PLEASE REAL ANSWERS ONLY, Will report if point stealing.Thank you in advancedWrite complete sentences using the elements given and the appropriate indirect object pronouns. Use the present tense.1. su abuela / siempre / contar / cuentos / a ustedesenter answer2. su amigo / ir a dar / juegos de mesa / a ustedenter answer3. los nios / llevar / un osito de peluche / a su amigo enfermoenter answer4. tus padres / a veces / comprar / videojuegos / a tienter answer When you release some of the paint from a spray paint can and the can remains at the same temperature, which gas law does this represent? Find the volume of the cone list the cell organelles and their functions What were the conditions that led to the civil rights movement If paper was 1.99 a pack and is now 3.98 a pack, what is the percentage increase in the price of the product? Question 3 of 10A person's debt-to-income ratio describes:A. how much money a person can borrow from a bank at any giventime.B. how frequently a person has to make payments on a significantdebt.C. how often the person's credit score changes based on increasinglevels of debt.O D. how much the person has borrowed compared to how much he orshe earns.SUBMIT You recently invested $400,000 of your savings in a security issued by a large company. The security agreement pays you 12% per year and has a maturity of five year from the day you purchased it. What is the total cash flow you expect to receive from this investment, if compounded quarterly, separated into the return on your investment? Consider the terms pyramid, line, square, and triangle. The term is not defined in Euclidean geometry. Five obstacles that must be overcome converting from traditional system to lean Gold at 100.0C is placed in 2.0010^2 g of water at 20.0C. The mixture reaches equilibrium at 21.2C. the specific heat of gold is 0.129 (J/gC) What is the mass of the gold? Specific heat of water is 4.18 (J/gC) . is (6,3) a solution to this system of equations y=3x - 3 3x - y =3