et X represent the full height of a certain species of tree. Assume that X has a normal distribution with a mean of 191.8 ft and a standard deviation of 4 ft. A tree of this type grows in my backyard, and it stands 182.2 feet tall. Find the probability that the height of a randomly selected tree is as tall as mine or shorter.

Answers

Answer 1

Answer:

The probability that the height of a randomly selected tree is as tall as mine or shorter.

P(X≤182.2) = 0.0082

Step-by-step explanation:

Step(i):-

Mean of the Population = 191.8 ft

Standard deviation of the Population = 4 ft

Let 'X' be the random variable in normal distribution

X = 182.2 feet

[tex]Z = \frac{x-mean}{S.D}[/tex]

[tex]Z = \frac{182.2-191.8}{4} = -2.4[/tex]

Step(ii):-

The probability that the height of a randomly selected tree is as tall as mine or shorter.

P(X≤182.2) = P( z≤ -2.4)

                =  1-P(z>2.4)

                = 1-(0.5 + A(2.4))

              =  0.5 - A(2.4)

             = 0.5 - 0.4918

            = 0.0082

The probability that the height of a randomly selected tree is as tall as mine or shorter.

P(X≤182.2) = 0.0082


Related Questions

Can you help me with my math?

Answers

Answer:

y = -3x - 1

Step-by-step explanation:

First find the slope then the Y-intercept

1
A line has a slope of -1/2and a y-intercept of -2.

Answers

Answer:

Step-by-step explanation:

y + 2= -1/2(x - 0)

y + 2 = -1/2x + 0

y = -1/2x - 2

-1/2x = -2

x = 4

please help me with this

a . 18

b . 16

c . 12

d . 9

Answers

Answer:

I think it is 18(A)

Step-by-step explanation:

I multiplied 8x3 then I did 6x3 and got 18

Write an
algebraic expression for the situation.
34 divided by a number m

Answers

Answer:

34 div 68m??

Step-by-step explanation:

Answer:

answer = 34 / m

Step-by-step explanation:

Usually there would be another number or variable to write an algebraic expression, but if this is the only information given, then this would be the answer

Evaluate 6 * 2 ^ x for a) x = - 2 and (b) x = 3 . Write your answers in simplest form.

Answers

Answer:

a. [tex]\frac{3}{2}[/tex] b. 48

Step-by-step explanation:

(a) The value of the expression when x = -2 is 1.5.

(b) The value of the expression when x = 3 is 48.

What is a function?

A function is a relationship between a number of inputs and outputs. A function is an association of inputs where each input is coupled with exactly one output. There is a range, co-domain, and domain for every function.

Given that the expression is 6(2)ˣ.

To evaluate the expression 6(2)ˣ for different values of x, we simply substitute the value of x into the expression and simplify.

(a) When x = -2, we have:

6(2)⁻² = 6(1/4) = 1.5

So the value of the expression when x = -2 is 1.5.

(b) When x = 3, we have:

6(2)³ = 6(8) = 48

So the value of the expression when x = 3 is 48.

To learn more about the function;

brainly.com/question/28303908

#SPJ2

I need help with math anyone points and brainlest

Answers

Answer:

B. the squares

Step-by-step explanation:

2 times 2.5 is 5

Answer:

The second option with the square.

2 x 2.5 = 5

2.5 is the scale factor

Please help! (the question is on the screenshot) Help ASAP Ty!

Answers

Answer:

A

Step-by-step explanation:

because if you do rise over run you get 4/3. you also need to remember to go to the points where there's a straight line

[tex]Your[/tex] [tex]answer[/tex] [tex]would[/tex] [tex]be.[/tex]

[tex]A[/tex] [tex]I[/tex] [tex]know[/tex] [tex]this[/tex] [tex]might[/tex] [tex]be[/tex] [tex]late[/tex] [tex]but[/tex] [tex]A[/tex] [tex]is[/tex] [tex]correct.[/tex]

[tex]- Yaoii[/tex]

Find the height of the triangle if the area is 36 m 2

Answers

Answer:

Area=1/2bh

Given area of 36m^2

1/2(x)(x-1)=36

Multiply both sides by 2 to remove deminator

(x)(x-1)=72

X^2-x=72

X^2-x-72=0 then factor

(x-9)(x+8)=0

X=9,-8 however since area must be positive, take the absolute value of 8

1/2(9m*8m)=36m^2

A cylinder has a base radius of 9m and a height of 14m. What is its volume in cubic m, to the nearest tenths place?



Please help

Answers

Answer:

3562.6 m³

Step-by-step explanation:

In this question, we have to find the volume of a cylinder.

The formula to find the volume of a cylinder is V = πr²h

Plug in your values and solve.

Solve:

V = π(9)²(14)

V = π(81)(14)

V = π(1,134)

V = 3562.566069

Round to the nearest tenths place.

V = 3562.6

Don't forget that the units for volume is already cubed, or to the power of 3.

Your final answer would be 3562.6 m³

Find the volume of this cuboid 5cm

Answers

I think the answer is V=125

Answer:

125[tex]cm^{3}[/tex]

Step-by-step explanation:

5x5x5= 125

28 = 7(n + 3) what does this mean

Answers

Answer:

I don't know the answer to this

7 times 4= 28. so n would equal 1. because 7x(1+3)=28. so n=1. hope that helps

Can some one help me with these 2 questions I’ll give you brainliest

Answers

9514 1404 393

Answer:

  2 + 5i

Step-by-step explanation:

Multiply numerator and denominator by the conjugate of the denominator.

  [tex]\dfrac{(25+19i)}{(5-3i)}=\dfrac{(25+19i)(5+3i)}{(5-3i)(5+3i)}\\\\=\dfrac{68+170i}{34}=\boxed{2+5i}[/tex]

__

In general, the multiplication proceeds the way it would if i were a variable. The difference is that i² can be replaced by -1.

Which best describes the transformation that occurs from the graph of f(x) = x2 to g(x) = (x + 3)2 + 4?

left 3, up 4
right 3, down 4
left 3, down 4
right 3, up 4

Answers

Answer:

Left 3 down 4 is the correct answer so C

Answer:

B. right 3, down 4

Step-by-step explanation:

The water park is a popular field trip destination. This year the senior class at High School A and
the senior class at High School B both planned trips there. The senior class at High School A
rented and filled 8 vans and 3 buses with 188 students. High School B rented and filled 10 vans
and 7 buses with 378 students. Every van had the same number of students in it as did the buses.
Find the number of students in each van and in each bus.

Answers

to be honest I have no idea

Answer:

7 students per Van

44 Students per Bus

Step-by-step explanation:

8v+3b=188

10v+7b=378

Solve these simultaneously

$70.00 at 5% for 2 years

Answers

Answer:

$7

Step-by-step explanation:

Hey there

to solve this kind of problem we use the formula:

[tex]\frac{p * t * r}{100}[/tex] if we solve it :

First, converting R percent to r a decimal

r = R/100 = 5%/100 = 0.05 per year,

then, solving our equation

I = 70 × 0.05 × 2 = 7

I = $ 7.00

The simple interest accumulated

on a principal of $ 70.00

at a rate of 5% per year

for 2 years is $ 7.00.

Oliver said, "To the nearest hundred, I’ve attended drama club for 900 days of my life!” Write three numbers that could be the actual number of days Oliver has attended drama club.

A. 743, 970, 933

B. 870, 933, 780,

C. 780, 849, 761,

D. 867, 870, 933

Answers

the answer is D dnsgkstbranat

compare-and-contrast analysis of how culture shapes the heroes in Heart of a Samurai and Black Ships Before Troy. Use transition words in your draft to help clarify relationships of ideas. KWHL What do you know? What do you want to know? How will you learn? What have you learned?

Answers

Answer:

Culture has a significant impact on heroes. For starters, it influences how a person or character perceives a particular situation or idea, as well as their point of view on a variety of ideas and topics. Next, it has an impact on how the hero is portrayed in the story. Third, it influences how a character reacts to an idea or situation.

Culture has an impact on heroes. We see an example of this in 'Black Ships Before Troy,' where in Achilles' culture, to be a hero, you must be brave and fight. This is also evident in 'Heart of a Samurai,' where Manjiro's culture dictates that in order to be a hero, you must provide for your family.

need help with this problem ​

Answers

Answer:

 h(x) =  -x² + 11 x + 2

Step-by-step explanation:

Explanation:-

Given that the functions are  

                                            f(x) = 2 x² - 5x -3

                                            g(x) = x² + 6x -1

               h(x)  = g(x) - f(x)

                      = x² + 6x -1 - (2 x² - 5x -3)

                     = - x² + 6 x +5x -1+3

                    = -x² + 11 x + 2

            h(x) =  -x² + 11 x + 2

Final answer:-

h(x) =  -x² + 11 x + 2

                             

A baker made nine cupcakes each a different type four people want to share them equally how many cupcakes in each person get?

Answers

The answer would be 2 and 1/4

x^2 – 2x – 54 = 0

I need it in completing the square form

Answers

Completing the Square:

x^2 - 2x = 54

x^2 - 2x + 1 = 54 + 1

(x-1)^2 = 55

x - 1 = ±[tex]\sqrt{55\\}[/tex]

x = 1 ± [tex]\sqrt{55}[/tex]

How do I solve this......?

Answers

Answer:

1.0.87

2.87/100

3.25%

4.0.25

5.35%

6.7/20

Step-by-step explanation:

2x - 3y = -14
5x + 9y = -2

Answers

Step-by-step explanation:

2x-3y= -14

5x+9y= -2

multiply the first one by 5 and the second one by -2 to get equal and opposite value of x.

➡️when you multiply,it will be

10x-15y= -70

-10x-18y= 4

cancel out each x value,then you get

-15y-18y= -70+4

-33y= -66, divide each side by -33 to get the value of y

⚪️y= 2

➡️substitute the value of y in the equation of (2x-3y= -14) to find the value of x

2x-3(2)= -14

2x-6= -14

2x= -14+6

2x= -8 divide both side by 2

⚪️x= -4

so the answer is (-4,2)

Please help me i’m sorry

Answers

Answer:

Is that 11/3 because of rise over run??? I'm not sure

what is 5 divided by 3/10

Answers

Answer:

16.6 :)

Step-by-step explanation:

16.667

MARK ME BRAINLIST

PLZ FOLLOW ME

Hello. Giving Brainliest for whoever is correct.


A poster is shown below:

A rectangle is shown. The length of the rectangle is labeled 12 feet. The width of the rectangle is labeled 3 feet.

What are the dimensions if the poster is enlarged by a factor of five over two ?

7.5 ft by 30 ft
15 ft by 60 ft
1.5 ft by 6 ft
15 ft by 6 ft

Answers

Answer: 7.5 ft by 30ft

Explanation: 12*5/2=60/2=30 ft
3*5/2=15/2=7.5 ft

How do u calculate Pythagorean theorem and what is the formula

Answers

Answer:

The formula is

Step-by-step explanation:

a^2 + b^2 = c^2

hope this helps

does anyone know the answer to this.

Answers

Answer:

D

PLZ MARK AS BRAINLIEST

Step-by-step explanation:

FIRST STEP:

4*3 =12

6.5*3 =19.5

SECOND STEP:

21*12*19.5 =4914

Answer:

D

Step-by-step explanation:

i solved it

find the missing number in this proportion.
[tex] \frac{48}{80} = \frac{6}{?} [/tex]​

Answers

48 divided by 8 is 6
80 divided by 8 is 10 therefore the answer is 10

What is 3x+6-x+4 if x is 10?​

Answers

30

Substituting x as 10:

3(10) + 6 - 10 + 4

30 + 6 - 10 + 4

30

Answer:

30 is the answer

Step-by-step explanation:

3x + 6-x + 4

3(10) + 6 -10 + 4

30 + -4 + 4

30 + 0

=30

Mark got 18 out of 25 questions correct on his science test. What percent of the questions did he get incorrect

Answers

Answer:

28%. mark got 28% WRONG

Step-by-step explanation:

another way to write 18/25 is 18 divided by 25. 18/25=0.72. 0.72 as a percentage is 72%. You are asking what percent he got wrong. 100%-72%=28%. Mark got 28% wrong/

Mark got 28% wrong hope this helps
Other Questions
Plz help !!!!!!!!!!!!!!!!!!!!!! AYDENME EN MI TAREA DE INGLS POR FAVOR!!! help me in my english homework please In which table is y a linear function of x Qu hacemos hoy? Using the verbs in the word bank, write 6 COMPLETE sentences about what you typically do on vacation. Use only the present tense. Word Bank reference Your options are: comer, comprar, decidir, decir, dormir, hacer, jugar, llegar, nadar, preferir, regresar, tener, ver, Number 15Please help I need to turn this in today! Which statement is true about the polynomial 5s^6t^2 + 6st^2 - 8s^6t^2 - 6t^7 after it has been fully simplified? Tragedy derives from the Greek words for ___________ and _____________, which may have had to do with ______________________________ made during the festivals. Rodrigo acelera su bicicleta a razn de 0.9m/s2 bajo la accin de una fuerza de 94N Cul es la masa de ambos? What is one of your current responsibilities and how do you think it will be different ten years from now? Solve the system of equations - 8x - 5y = -13 and - 4x 5y = 11 bycombining the equations. Can anyone type in the missing solfege for each pitch, use do re mi thing please and the Key is D with 2 sharps Find the perimeter of the following triangle. Round your answer to the nearest hundredth. This question may be completed independently or as a group exercise. You have learned that humans have 46 total chromosomes, and chimpanzees have 48 total chromosomes. Use other textbooks in biological anthropology and biology (or reputable online resources) to find the number of chromosomes in other organisms. Give an organism with considerably more chromosomes than humans. Give an organism with considerably fewer chromosomes than humans. Did your findings surprise you Which event occurred due to the creation of the new deutsche mark? plssss help giving brainly Scientists group organisms into three domains: Archaea, Bacteriaand Eukarya. In which domain are animals classified and why?O Archaea, because animals live a long time.O Bacteria, because animals are unicellular.Bacteria, because animals make their own food.Eukarya, because animal cells contain genetic information inside ofnuclei. Write a paragraph that details a theme for the short film "Lava." To support the theme, give at least 2 pieces of evidence that you then analyze. Please helppp me with this -Qu relaciona existe entre el retculo endoplasmtico y el aparato de Golgi. HELP ASAP GIVING BRAINLIESTThe authors of the United States Government believed that the voice of the people should be heard frequently. Which part of the Government was instituted to respond most directly to the will of the people? aExecutive Branch bJudicial Branch cLegislative Branch dThe President