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

Model the problem with algebra tiles. Then use the model to write an algebraic expression that represents the situation.

Cammie ran three times as far.

The situation can be modeled with algebra tiles by
________.

The situation can be represented as an algebraic expression as
______.

Answers

Answer:

Model the problem with algebra tiles. Then use the model to write an algebraic expression that represents the situation.

Cammie ran three times as far.

The situation can be modeled with algebra tiles by  

three orange x tiles

.

The situation can be represented as an algebraic expression as  

3x

.

Step-by-step explanation:

Hope this helps!!

ig- crochetsbyandrea

Answer:

1 three orange x tiles

2 3x

Step-by-step explanation:

In addition to his hourly rate, Mr. Smith is paid $2.20 for each watch he fixes. Write an expression for his income if he fixes r watches per hour?9.5 is hourly rate.

Answers

Step-by-step explanation:

y = hourly income

r = number of watches fixed

equation: y = 2.20r + 9.5

How many lines of symmetry does a trapezoid have

Answers

Uhhhh 0 I think ....

at a school there are 10 students taking only chemistry, 9 students taking only physics 5 students taking both, and 16 students not taking either. if a student is randomly selected from the other school, what is the probability that they are taking chemistry or physics?

Answers

Answer:

If there are 10 students taking only chemistry, 9 students taking only physics, and 5 students only taking both chemisty and 16 students are taking neither; I would add 10+9+5+16=40 (total students) and divide 10/40 (25% chemistry) 9/40 (22.5% physics) 5/40 (12.5% both) 16/40 (40% neither)

Step-by-step explanation:

1. Determine a single event with a single outcome.

2. Identify the total number of outcomes that can occur.

3. Divide the number of events by the number of possible outcomes.

Answer:

3/5

Step-by-step explanation:

Five times a number decreased by 8 is less than 37. Write an algebraic inequality to represent this situation.

Answers

Answer:

5x - 8 < 37

Step-by-step explanation:

I'm so sorry if this is wrong

Based on the completed table above what is the value of f? ​

Answers

Answer:

0

Step-by-step explanation:

Answer:

0 is the best answer.

Step-by-step explanation:

Ken earned $128 from his part-time job this summer. He spent 25% of his money on games. He is going to donate 1/6 of the remaining money to charity. How much will the charity receive?

A) $15
B) $16
C) $32
D) $80

Please explain how to do it also

Answers

Answer:

B) $16

Step-by-step explanation:

Alright so first you want to take the total amount of money made :

$128

Next you want to find 25% of this number (or 1/4) and subtract it from the total.

So :

128 / 4 = 32

So now we take 128 and subtract 32. (32 = 1/4 or 25% of 128)

128 - 32 = 96

Ken now has $96 left over after spending money on games.

So now that we have this number we need to find 1/6 of it because he took 1/6 of the money after he bought games and put it towards charity.

So :

96 / 6 = 16

16 is equal to 1/6 of his leftover money after games and is the amount the charity received.

B) $16

I hope this helps! :)

If you are confused or have any questions please comment or dm and I would be happy to help.

Also change the pfp FeelsGoodMan

Answer:

B) $16

Step-by-step explanation:

1. First let's find how much he spent on games. Multiply 0.25 to 188. 0.25 x 128 = 32.

2. Now subtract that amount from the original $128.  128 - 32. = 96.

3. Then, multiply 1/6 from 96. 1/6 x 96 = 16. This $16 is the amount the charity will receive.


Which graph represents this system?
3x+2y=-6

y=-3/2x+2

Answers

Answer: look at the picture

Step-by-step explanation: hope this help:)

A statue of George Washington is also in Druids a 15 m away from the statue and places a mirror 12 m from the statue (3 m from her feet)she can see the top of the statue in the mirror. The girl's height is How tall is the statue(draw a diagram and solve)

Answers

Answer:

Let 'x' represent the height of the statue.

1 ft = 0.3048 m

5.5 ft = 5.5*0.3048 m

Using the similar triangles we can write:

x : 3 = 12 : (5.5*0.3048)

x = 21.47 m

The statue is 21.47 meters tall

I need help finding the answer to this:
Nathan opens a new savings account and makes an initial deposit of $400. If the account earns 2% annual interest, how much interest will he earn in 9 months?

Answers

Answer:

He will earn $6 in interest in 9 months.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

[tex]E = P*I*t[/tex]

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

[tex]T = E + P[/tex]

Initial deposit of $400.

This means that [tex]P = 400[/tex]

2% annual interest

This means that [tex]I = 0.02[/tex]

How much interest will he earn in 9 months?

An year has 12 months, this means that [tex]t = \frac{9}{12} = \frac{3}{4} = 0.75[/tex]

This is E. So

[tex]E = P*I*t = 400*0.02*0.75 = 6[/tex]

He will earn $6 in interest in 9 months.

42 out of 90 is what percentage?

Answers

Answer=46.6

I hope this helps.

Answer:46.6%

Step-by-step explanation: multiply 42 by 100 than divide that by 90

18 cheeseburgers is 45% of how many cheeseburgers?

Answers

Answer:

40 cheesburgers

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

45% is 9/20

18 cheeseburgers is 9/20 of all the cheese burgers

36 cheeseburgers is 18/20 of all the cheeseburgers

40 cheese burgers is 20/20 of all cheeseburgers

What is the integer?

Sally lost 40 dimes because she did not put the money in her piggy bank.

Answers

Answer:

-40

Step-by-step explanation:

This is because she LOST 40 dimes making it a negative number, so the integer to represent this would be -40.

Madison has test scores of 93, 82, 86, and 75. What is the mean?
answer as fast a possible

Answers

Answer:

Mean is 84

Step-by-step explanation:

Solve for n:
3(2−8n)=3n+6

Select one:

-15

5

-5

0

Answers

n=0 bc you remove the parentheses, cancel the equal terms what would be 6 being cancel it would look like -24n=3n now and move the variable to the left collet like terms and then you will divide the sides. Your answer is 0

12. Suppose a reward for a CS follows a probabilistic schedule. If the probability of receiving the reward increases then: a) firing will increase for CS and increase for US b) firing will increase for CS and decrease for US c) firing will decrease for CS and decrease for US d) firing will decrease for CS and increase for US e) none of the above; firing will remain unchanged for CS and US

Answers

Answer:

d) firing will decrease for CS and increase for US

Step-by-step explanation:

The is the answer going by the probabilistic nature of the schedule. That is, as the probability of relieving reward increase has a direct effect on the CS leading to its decrease as well as a proportional increase for US. On the other hand, a decrease of probability of receiving reward will have an opposite effects on the schedule.

Which is a true statement?

Answers

Answer:

A

Step-by-step explanation:

-18 is an integer and a whole number

A oil well is drilled at -175 meters ever 12 hours . How deep is the well after 15 hours of constant work. Numeric answers only

Answers

Answer:

-37.5 m

Step-by-step explanation:

If we assume that "one full day" is 24 hours, then 15 hours represents the fraction 15/24 of a day. Since the drilling rate was constant, and was presumed to start from a height of 0, the height after 15 hours is that fraction of the day's work:

... (15/24)×(-60 m) = -37.5 m

Answer:

-218.75

Step-by-step explanation:

you probably don't need the answer anymore but I still thought I should put it out there

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

help asap, will give brainliest! x

Answers

1 is bigger so it will be the 4th square

Answer:

<

Step-by-step explanation:

there ya go :) hope that helps youuu

btw you're doing great on that :D

11.45 x 3.7 =
(step by step explanation pls) ​

Answers

11.45 x 3.7

= 42.365


11.45
x 3.7
—————
34350
8015
—————
42.365

What is the area and circumference of the circle?

Answers

9514 1404 393

Answer:

area: 36π ≈ 113.1 . . . . square unitscircumference: 12π ≈ 37.7 . . . . units

Step-by-step explanation:

The area formula is ...

  A = πr^2

  A = π(6^2) = 36π ≈ 113.1 . . . . square units

__

The circumference formula is ...

  C = πd

  C = π(12) = 12π ≈ 37.7 . . . . units

An array of 30 LED bulbs is used in an automotive light. The probability that a bulb is defective is 0.001 and defective bulbs occur independently. Determine the following: a. Probability that an automotive light has two or more defective bulbs. b. Expected number of automotive lights to check to obtain one with two or more defective bulbs.

Answers

Answer:

a) 0.0005 = 0.05% probability that an automotive light has two or more defective bulbs.

b) 4000 automotive lights.

Step-by-step explanation:

For each LED, there are only two possible outcomes. Either it is defective, or it is not. Defective bulbs occur independently, which means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

An array of 30 LED bulbs is used in an automotive light. The probability that a bulb is defective is 0.001.

This means that, respectively, [tex]n = 30, p = 0.001[/tex].

a. Probability that an automotive light has two or more defective bulbs.

This is:

[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]

In which

[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]

So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{30,0}.(0.001)^{0}.(0.999)^{30} = 0.9704[/tex]

[tex]P(X = 1) = C_{30,1}.(0.001)^{1}.(0.999)^{29} = 0.0291[/tex]

[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.9704 + 0.0291 = 0.9995[/tex]

[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.9995 = 0.0005[/tex]

0.0005 = 0.05% probability that an automotive light has two or more defective bulbs.

b. Expected number of automotive lights to check to obtain one with two or more defective bulbs.

0.0005 = 0.05% probability that an automotive light has two or more defective bulbs.

The number of expected trials to obtain n successes with p probability is given by:

[tex]E = \frac{n}{p}[/tex]

In this case, we have that [tex]n = 2, p = 0.0005[/tex]. So

[tex]E = \frac{n}{p} = \frac{2}{0.0005} = 4000[/tex]

4000 automotive lights.

Total profit P is the difference between total revenue R and total cost C. Given the following​ total-revenue and​ total-cost functions, find the total​ profit, the maximum value of the total​ profit, and the value of x at which it occurs.

R(x)=1300x-x^2
C(x)=3300+20x

Will give brainliest!

Answers

Answer: Oh no... Anyway's wanna ask me a question about sex ed?

Step-by-step explanation: x=495

,P=241,525

Step-by-step explanation:

Given that

Profit=Total revenue - total cost

P= R -C

Also given that

So

Above equation is the total profit in terms if x.

Now to find maximum value of P we have to differentiate above equation with respect to x

So

⇒x=495

So total profit at x=445  ,P=241,525

Answer:

The profit function is:

[tex]P(x)=-x^2+1280x-3300[/tex]

The maximum value is 406, 300 occurring when x = 640.

Step-by-step explanation:

The revenue function is:

[tex]R(x)=1300x-x^2[/tex]

And the cost function is:

[tex]C(x)=3300+20x[/tex]

Then the total profit function will be:

[tex]P(x)=R(x)-C(x)=(1300x-x^2)-(3300+20x)=-x^2+1280x-3300[/tex]

This is a quadratic function.

Therefore, the maximum value of the total profit will occur at its vertex point.

The vertex of a quadratic is given by:

[tex]\displaystyle \Big(-\frac{b}{2a}, f\Big(-\frac{b}{2a}\Big)\Big)[/tex]

In this case, a = -1, b = 1280, and c = -3300.

Then the point at which the maximum profit occurs is at:

[tex]\displaystyle x=-\frac{1280}{2(-1)}=640[/tex]

And the maximum profit will be:

[tex]P(640)=-(640)^2+1280(640)-3300=406300[/tex]

What is the length of side s of the square shown below?
45
90°
A. 2-2
B. 2
C. 42
O D. v2
E. 1
O F. 4

Answers

Answer:

D. √2

Step-by-step explanation:

Solve for x by applying trigonometric ratio.

Reference angle = 45°

Hypotenuse = 2

Adjacent side = s

Thus:

Cos (45) = adj/hyp

Cos (45) = s/2

2×Cos(45) = s

2 × √2/2 = s (cos (45) = √2/2)

√2 = s

s = √2

Después de aplicar un 15% de descuento, el precio de un juego de comedor es de $940. Calcular el precio inicial.

Seleccione una:
a. $1.456,80
b. $1.340,00
c. $1.000,50
d. $1.105,88

Answers

Answer:

b).$1.340,00

Step-by-step explanation:

Sana po makatulong ako sayo..

Consider the expressions 3x(x − 2) + 2 and 2x2 + 3x − 18.


Part 1 out of 2
Evaluate each expression for x = 4 and for x = 5. Based on your results, do you know whether the two expressions are equivalent? Complete the explanation.

For x = 4, each expression has a value of
26
. For x = 5, each expression has a value of
. These results suggest that the expressions
(select)
equivalent, but
(select)
the expressions are equivalent.

Answers

Answer:

See answer below

Step-by-step explanation:

For the first expression

3 x (x - 2) + 2 = 3 x^2 - 6 x + 2

evaluated at x= 4 we get: 26

and for x = 5 we get 47.

For the second expression

2 x^2 + 3 x - 18

we get the exact same values when doing the evaluation at these two points.

Based on those results, one may think the expressions may be equivalent, but they are not equivalent. Because at any other x-value, their results are different. See for example that for x = 0 the first one gives "2" while the second one gives -18.

y + 5 = (x + 3)
slope (m): ?
coordinates: ?

Answers

Answer:

Your slope would be: -5

Step-by-step explanation:

First we need to format it into a linear equation which is: y= mx+b

y+5= (x+3)

and than minus 5 on each side to get:

y=(x+3)-5

than use distributive property to get:

y= -5x+-15

your slope would be:

-5

and than you can get any coordinates from the line if you graph the line on the site "desmos" so just use that site :)

hope it helps!

For which of the following equations is (-2,-3) not a solution?
A) y=x-1
B) -3x=4y-6
C) 2y-3x=0
D) 5x+2y=-16

Answers

Answer:

B) -3x=4y-6

Step-by-step explanation:

(-2,-3); x= -2 and y= -3

B) -3x=4y-6

-3x= 4(-3) - 6= -12-6= -18

x= -18/-3=6... wrong

The line that contains a slope of 1/2 and passes thru the point (-2,-3)

Answers

Answer:

in this question what we have to do please can you tell

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