Mathematics College

The heights of the pine trees in a certain forest are normally distributed, with a mean of 86 feet and a standard deviation of 8 feet.

Approximately what percentage of the pine trees in this forest are taller than 100 feet?

The Heights Of The Pine Trees In A Certain Forest Are Normally Distributed, With A Mean Of 86 Feet And

Answers

Answer 1

Answer:

4%

Step-by-step explanation:

PLATO users

Answer 2

4% of the pine trees in this forest are taller than 100 feet.

The heights of the pine trees in a certain forest are normally distributed, with a mean of 86 feet and a standard deviation of 8 feet. Approximately what percentage of the pine trees in this forest are taller than 100 feet to be determined.

What is Statistic?

The statistic is the study of mathematics that deals with relations between comprehensive data.

raw score x = 100 , mean = 86 standard deviation = 8,
The probability of pine trees in the forest being taller than 100 ft is given as,


p = p( x > 100)
[tex]P =P[z = \frac{X - \mu}{\sigma}][/tex]
P = z [ (100-86)/8 ]
P = z [1.5]
P = 0.04004
P = 4.04%

Thus, 4% of the pine trees in this forest are taller than 100 feet.

Learn more about Statistics here:
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Related Questions

please help me out hereeeeeeeeeeee

Answers

Answer:

divide by 1k

Step-by-step explanation:

Answer:

Option B:

Multiply by 1,000

Step-by-step explanation:

Since,

1 litre = 1000ml

Hence,

3.2 litre = 3.2 × 1000 ml = 3200 ml

So,

Option B that is to Multiply by 1000 is correct.

Trigonometry: True/False question posted on the image

Answers

Answer:

true

Step-by-step explanation:

A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees

Area of a triangle = 1/2 x base x height

the perimeter of a triangle = sum of the side lengths

A right angled triangle has a 90 degree angle and two other sides that sum up to 90 degrees. this makes the sum of angles 180 degrees  

Jackson wants to form a rectangular pen with 420 ft. of fencing. What should the dimensions be to provide the maximum area?

Answers

I believe each side of the fence would be 105 ft
the area of the pen would be 11,025

Find the slope of the line that passes through the indicated points.

(4,-1) and (8,1)

(1,4) and (3,0)

Answers

#1
2/4 = 1/2

#2
-4/2 = -2

-5x - 3y + z=-4
-2x - 2y + 2z = 4
Z=x+5

Answers

Answer:{x,y,z} = {85/24,-1/6,25/24}

Step-by-step explanation:

James recorded the distance he ran each day:

Monday - 2.05 miles
Tuesday - 1.8 miles
Wednesday - 1.45 miles
Thursday - 0.923 miles
Friday - 2.55 miles

What is the difference between his longest distance and shortest distance?

Answers

Answer:

1.627 miles

Step-by-step explanation:

Longest distance: 2.55 miles

Shortest distance: 0.923 miles

difference: 2.55 miles - 0.923 miles = 1.627 miles

Select all of the following that can be a counterexample for the statement below.
If x is an integer, then x + 2 >7
1- -2
2- 0
3- 3
4- 4
5- 6
6- 8

Answers

Answer:

-2. 0. 3. 4

Step-by-step explanation:

counterexample are the opposite so ur gonna chose the false ones the number has to be less than 7 so -2 0 3 4

how do you find the area of the attached shape?

Answers

Answer:

You would find the area if each individual shape inside the shape and then add all the areas together to get your final product

What is 17 times 5 decided by 8

Answers

17x5/8 is 10.6 i believe

A saleswoman earns a 30% commission on all the merchandise that she sells. Last month she sold $400 worth of merchandise. How much commission (in dollars) did she earn last month?

Answers

Answer:

$270

Step-by-step explanation:

Answer:

$120.00

Step-by-step explanation:

She earned $120 because 30% of 400 is 120.

Sorry if I'm wrong.

Please mark me as Brainliest.

A container is in a shape of a right circular cylinder standing on its base. If 100 cubic centimeters of water is poured into the container the height of the water is 8 centimeters. What is the height of the water if only 75 cubic centimeters is poured into the container?
A) 2.1 cm
B) 3.8 cm
C) 6.0 cm
D) 6.9 cm
E) 10.7 cm
And why???

Answers

Answer:

Step-by-step explanation:

The shape of the container isn’t changing here, so the height of the water will be proportional to the volume. 75 cm^3 is ¾ of 100 cm^3, so the water will rise ¾ as high.

¾ of 8 cm is 6 cm.

help please, i need it asap. tyty

Answers

Answer:

Step-by-step explanation:

[tex]\frac{3}{x}[/tex] = [tex]\frac{2}{5}[/tex]

2x = 15

x = 7.5

Which expression is equivalent to (4 + 3i) - (8 - 61)?
A -4 -3i
O
B. –4 +9i
C. 12 + 9i
D. 12 - 31

Answers

Answer:

Its C

Step-by-step explanation:

a rectangle with an area of 4/7m^2 is dilated by a scale factor of 7 what is the area of the dilated rectangle enter your answer in the box do not leave answer as a fraction

Answers

9514 1404 393

Answer:

  28 m²

Step-by-step explanation:

The area of the dilated figure is the original area multiplied by the square of the dilation factor.

  A' = 7²×A

  A' = 49×(4/7 m²) = 28 m²

The area of the dilated rectangle is 28 m².

Bryson is updating his computer. The amount of
time required for a complete update is 48 minutes. The
update is currently 40% complete. How much longer will it
take for the update to be complete?

Answers

Answer:

28.8 min

Step-by-step explanation:

48 x 40% = 19.2

48-19.2 = 28.8

What is (0.4) exponential form?

Answers

Answer:

it would be 0.4 to the power (exponent) of 3

Step-by-step explanation:

should the answer be 0.4^3

(hope this helps can i plz have brainlist :D hehe)

Need answer quick with full work

Answers

Answer:

Apply the distributive property.

2x3+4−−x2−(3x)2x3+4--x2-(3x)

Multiply −−x2--x2.

Tap for fewer steps...

Multiply −1-1 by −1-1.

2x3+4+1x2−(3x)2x3+4+1x2-(3x)

Multiply x2x2 by 11.

2x3+4+x2−(3x)2x3+4+x2-(3x)

Multiply 33 by −1-1.

2x3+4+x2−3x2x3+4+x2-3x

Move 44.

2x3+x2−3x+4


I WILL GIVR U BRAINERLEST AND A LIKE

The windows in an office building are
shaped like parallelograms. The base of
each window is 1.8 meters and the
height is 1.5 meters. What is the area
of each window?


Answers

Answer:2.7

Step-by-step explanation:

Just multily the 2 products

Referring to the figure, find the value of x

Answers

Answer:

x=23

Step-by-step explanation:

solved the variable

Answer:

x = 23

Step-by-step explanation:

All triangle angles add up to 180 so:

x + 3x + 3 + 85 = 180

4x + 88 = 180

4x = 180 - 88

4x = 92

x = 23

PLEASE HELP !! ILL GIVE 40 POINTS ; PLUS BRAINLIEST !! DONT SKIP ANSWER.

Answers

B??? I’m so srry if I’m wrong but try

I see 2 people sitting on the bench at the playground. One was Deaf and one was blind.
A name was called, and one left. Who was that?

Answers

Answer:

the blind one

Step-by-step explanation:

What in the mean, the range, the median, the mode. For the numbers 480, 296,480, 384, 368, 352, 416, 440.
Plz help me I need these answers asap

Answers

Answer:

Mean is 402

Median is 400

Mode is 480

Range is 184

Step-by-step explanation:

Answer:

Step-by-step explanation:

Mean: 402

296, 352,368, 384, 416, 440, 480, 480

Range: 184

Median: 592

Mode: 480

The decimal number 2.0159793 when rounded to 3 significant figures is?​

Answers

Answer:

2.02 may be I thinks tell me if it's right

2.02 would be your answer

Which is more, 45 dimes or 450 pennies?

Answers

Answer:

they are equal

Step-by-step explanation:

1 dime is equal to 10 pennies

so 45x10 = 450

450=450

Answer:

They are equal 45 dimes is equivalent to 450 pennies.

Step-by-step explanation:

I'm smart.

The volume of smaller rectangular prism V = 512 cm3,
the volume of larger rectangular prism V= 4,096 cm3.
What is the ratio of the height of the smaller rectangular prism to the height of the larger rectangular prism?
Write an answer as the ratio of two whole numbers separated by colon. (example: 2:3)

Answers

512:4,096 or if we were reducing
1:8

3. A savings account has a 3% interest rate. (a) Complete the ratio table shown. Show your work. Deposit ($) 100 50 300 Interest ($) 3 12 6 36 (b) How much more interest would you have if you deposited $200 than if you deposited $150? Show your work.

Answers

Answer:

Wait what

Step-by-step explanation:

Evaluate 6 + x when x = 3​

Answers

Answer:

6+3 = 9

Glad I could help :)

The correct answer is 9! :) (Could I have brainliest?)

Danny flips four well-balanced coins. What are the odds that two of the coins will land ‘heads’ up?

Answers

Answer:

0.375 = 37.5% probability that two of the coins will land ‘heads’ up

Step-by-step explanation:

For each coin, there are only two possible outcomes. Either it lands heads, or it lands tails. The probability of a coin landing heads is independent of any other coin. This means that the binomial probability distribution is used 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.

Four well-balanced coins.

This means that [tex]n = 4, p = 0.5[/tex]

What are the odds that two of the coins will land ‘heads’ up?

This is P(X = 2).

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

[tex]P(X = 2) = C_{4,2}.(0.5)^{2}.(0.5)^{2} = 0.375[/tex]

0.375 = 37.5% probability that two of the coins will land ‘heads’ up

y divided by the product of 3 and x

Answers

Answer: y/3x

Step-by-step explanation: 3 times x is 3x, so y/3x

Find the value of x. i’m so lost. it’s geometry!

Answers

Answer:

150°

Step-by-step explanation:

Consider OACB,

Here <CAO =<CBO= 90° ( As they are tangents)

<ACB= 30°

Now, <CAO +<CBO+<ACB+x= 360°

90°+90°+30°+x= 360°

x= 150°

Hope it helps

Answer:

150°

Step-by-step explanation:

Construct a line OC, and consider the resulting triangles ΔOAC.

<AOB=(1/2)x

<CAO=90

<ACO=30/2=15

Angles in a triangle add to 180, so

90+15+(x/2)=180

x/2=75

x=150°

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