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

what is 3(t+2v) ?? Please and thank you

Answers

3(t + 2v)

= 3t + 6v

The answer is 3t + 6v.

Hope it helps!

Determine the solution to the system of equations {4x+15y=40
-8x-5y=20}

And write your solution as an ordered pair.



Answers

Step-by-step explanation:

4x+15y= 40-5y= 20

= 4x+15y+5y= 40-20

4x+20y= 20

Espano
A box contains 5 plain pencils and 5 pens. A second box contains 3 color pencils and 7 crayons. One item from each box is chosen at random. What is the
probability that a plain pencil from the first box and a color pencil from the second box are selected?
Write your answer as a fraction in simplest form.

Answers

Answer:

5/10 and 3/10

Step-by-step explanation:

because i believe that if u have 5 pencils and 5 pens all together thats 10 so it would be a 5/10 chance same with the second one hopefully this is right and i dont know if its simplified

There are 1250 students at Cypress Middle School. 42% of the students are enrolled in PE.
How many students are enrolled in PE?

Answers

Answer:

525

Step-by-step explanation:

multiply 1250 by the decimal form of the percentage (42% turns to .42)

Do 9a, 9b, 9c please quick due in 5 minutes also pleaseeee show step by step thanks I will mark brainlest and give extra points people please

Answers

Step-by-step explanation:

The answer to 9a is that A and B have to be on the right side of the number line but A has to be greater than B.

The first and second box for 9c is > .

what type of number is -
[tex] \sqrt{16} [/tex]

Answers

Answer:

perfect square / rational

4

Step-by-step explanation:

Answer:

root of 16. or 4

Step-by-step explanation:

Round 342.296269789 to 2 decimal places.

Answers

Answer:

342.30

Step-by-step explanation:

342.296 would round up because 6 is higher than five. The 0.09 would round up to 0.10, making the 0.2 become a 0.3.

i need help with this please

Answers

19.

I hope this answer helped! please mark brainliest and vote 5 stars >:)

Answer:

x=4

Step-by-step explanation:

i used mathaway

3x+2 = 7x-14

solve for brainliest​

Answers

9514 1404 393

Answer:

∠W = 130∠X = 140∠Y = 50∠Z = 40

Step-by-step explanation:

Using 'y' and 'z' to represent angles with the corresponding names, we have ...

  y + z = 90

  (3b -1) +(2b +6) = 90 . . . . substitute the given expressions

  5b +5 = 90 . . . . . . . . . . . . simplify

  b +1 = 18 . . . . . . . . . divide by 5

  b = 17 . . . . . . . . subtract 1

Then the angles are ...

  y = 3b -1 = 3(17) -1 = 51 -1 = 50

  z = 2b +6 = 2(17) +6 = 34 +6 = 40 . . . . note that these are complementary, as theys should be

Angles W and Y form a linear pair, so are supplementary:

  W = 180 -Y = 180 -50 = 130

Angles X and Z form a linear pair, so are supplementary:

  X = 180 -Z = 180 -40 = 140

Then the angle measures are ...

∠W = 130∠X = 140∠Y = 50∠Z = 40

Help help help help help

Answers

Answer:

B) 7.5% decrease

Step-by-step explanation:

(11,100 - 12,000) / 12,000 = -9/120 or -3/40, which is -0.075

B. 7.5% decreased would do it

Fiona enlarges a parallelogram that has a perimeter of 17 meters.

A small parallelogram has a left side length of 3.5 meters. A larger parallelogram has a left side length of 21 meters.
Not drawn to scale

What is the perimeter of the enlarged parallelogram?
30 meters
73.5 meters
102 meters
105 meters

Answers

Answer:

The correct answer is C.

Step-by-step explanation:

Answer: C. 102 cm

Step-by-step explanation:

I took the quiz on Edge, and it is correct.

A line passes through the point (8,-6) and has a slope of 3/2
Write an equation in slope-intercept form for this line.

Answers

Answer:

y = 3/2x - 18

Step-by-step explanation:

y = mx + b

-6 = 3/2(8) + b

-6 = 12 + b

b = -18

HELP FAST WILL MARK BRAINLYIST

Answers

Answer:

c

Step-by-step explanation:

A system of linear equations is graphed below

Which coordinate point represents the solution?

A : (2, 2)
B : (0 , 40)
C : (40 , 0)
D : (20 , 20)

Answers

Answer: D

Step-by-step explanation: 20,20

Thorton's department store has a 30% off sale this week what is the sale price for a pair of $24 jeans

Answers

Answer:

The Sale Price is $16.80 Dollars

Step-by-step explanation:

First I find out what 30% of 24 is.

24 * 30% = 7.2

Next we subtract.

24 - 7.2 = 16.80

So, the answer is 16.80

Hope this helps! :)

Saved
Autocracies have rules along with a court system and free press

Question 5 options:
True
False

Answers

Answer:

True

Step-by-step explanation:

calculate the quotient of 286 and 11​

Answers

Quotient is to divide so 286 divided by 11 will equal to 26

The quotient for 286 and 11 is 26.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

286 ÷ 11

This can be written as,

11 ) 286 ( 26

    286

      0

This means,

The quotient is 26.

Thus,

The quotient is 26.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

The table shows the distance 4 people swam. Who swam a greater distance than Milo​

Answers

Answer:

Lorrie and karrie

Step-by-step explanation:

Factor equation
x2 – 5x – 6

Answers

Answer:

(x+1) (x−6)

Step-by-step explanation:

Answer:

x 2 − 5 x − 6

Step-by-step explanation:

what's the diameter plz help

Answers

18m because the radius is half of the diameter so just double the radius

please help me please

Answers

Answer:

1. 13

2.9

jauwiwiwijqiwiw9q9qiwsb sorry can't do step bu step way tooooooooo long

what is an equation that requires only one step to solve one operation called?

Answers

Answer

algebraic equation

Step-by-step explanation:

A student is solving the problem x^2 + 10x+ ___ = 16 + ___ by the method of completing the square. What number should the student add to both sides?

Answers

Answer:

I believe it could be any number because:

let y=any number

x^2+10x+y=16+y

x^2+10x+y-y=16+y-y

x^2+10x=16

you can add any number to both side and not change the solution.

The student should add 25 to both the sides of the quadratic equation x^2 + 10x+ ___ = 16 + ___

What is quadratic equation?"It is an equation with degree two.""The general form of quadratic equation is ax² + bx + c = 0"What is the method of completing the square?

To complete the square for quadratic equation ax² + bx + c = 0 means we make the left hand side of the equation a perfect square.

1) First divide both the sides of the equation by the coefficient of x² that is 'a'

2) Add or subtract both the sides of the equation by (b/2)² that is complete the square

3) Solve the resulting equation to find the roots of the equation

For given example,

We have been given a quadratic equation x² + 10x+ ___ = 16 + ___

By comparing given equation with ax² + bx + c = 0,

we have a = 1, b = 10

To complete the square for given quadratic equation we add (b/2)² on both the sides.

⇒ (b/2)² = (10/2)²

⇒ (b/2)² = 5²

(b/2)² = 25

So, the quadratic equation would be,

⇒ x² + 10x + 25 = 16 + 25

⇒ (x + 5)² = 41

⇒ x + 5 = ±√41

⇒ x = -5 ± √41

So, the solutions of the quadratic equation would be x = -5 + √41 and x = -5 - √41

Therefore, the student should add 25 to both the sides of the quadratic equation x^2 + 10x+ ___ = 16 + ___

Learn more about the completing the square here:

https://brainly.com/question/4822356

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PLS HELP ITS URGENT!!!!!!!!!!!!!!!!! Pizza Guy pizza delivery time for a pizza is approximately normally distributed with a mean of 22 minutes and a standard deviation of 5. Pizza Guy guarantees delivery within 30 minutes or the pizza is free. What percent of customers will get a free pizza?

Answers

Answer:

I'm not positive since it's been a couple months but the answer is 95%

Step-by-step explanation:

30-22/5 = 1.6 with a z score of 0.9452 with a percentage of 94.52%

0.15 + 0.1x = 1.1 ÷ 3 · 5.1 − 1.2

Answers

X=5.2

No way I’m going to type all that in lol


F(x) = 3x^2 + 6x - 5
g(x) = 4x^3 – 5x^2 + 6
Find (f +g) (c)

Answers

9514 1404 393

Answer:

  4c^3 -2c^2 +6c +1

Step-by-step explanation:

We can substitute c for x either before or after we combine the functions.

  (f +g)(c) = f(c) +g(c)

  (f +g)(c) = (3c^2 +6c -5) +(4c^3 -5c^2 +6)

  (f +g)(c) = 4c^3 +c^2(3-5) +6c +(-5+6) . . . . group like terms

  (f +g)(c) = 4c^3 -2c^2 +6c +1

A $65 drone is on sale for $51.35. What is the percent of discount?

Answers

Answer:

20% off

Step-by-step explanation:

Answer:

21%

Step-by-step explanation:

To calculate the percentage discount between two prices, follow these steps:

Subtract the post-discount price from the pre-discount price.

Divide this new number by the pre-discount price.

Multiply the resultant number by 100.

$51.35-65=13.65

13.65/65= -0.21

-0.21*100=-21

Question
Find the area of the shaded region of the figure shown below. Use 3.14 for n and round your answer to the nearest tenth
L-15
W-9

Answers

Area of rectangle = 9 x 15 = 135
Area of half the circle = 0.5(3.14)(r^2) = 0.5(3.14)(20.25) = 31.7925
Area of shaded region = area of rectangle - area of half the circle = 135 - 31.7925 = 103.2

What is the total area? Use 3 for Pi.
answer fast pls!!! <3

Answers

Answer:

total area = 217 m³

Step-by-step explanation:

area of the triangle

= 14 × 10

= 140 m²

area of a semicircle

= 1/2 × 22/7 × 7 × 7

= 77 m²

total area

= 140 + 77

= 217 m³

Find the unit rate for 6 and 2/5 cookies in 4 minutes ​

Answers

Answer:

Step-by-step explanation:

6 2/5 cookies in 4 mins

To find the unit rate in minutes, divide 6 2/5 and 4 by 4.

In one minute is 1.6 cookies.

To find the unit rate in cookies, we divide by 6 2/5.

For one cookie, there are 5/8 minutes.

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