Maple tree diameters in a forest area are normally distributed with mean 10 inches and standard deviation 2.2 inches. Find the proportion of trees having a diameter less than 9 inches.

Answers

Answer 1

Answer:

0.32472

Step-by-step explanation:

Maple tree diameters in a forest area are normally distributed with mean 10 inches and standard deviation 2.2 inches. Find the proportion of trees having a diameter less than 9 inches.

The formula for calculating a z-score is z = (x-μ)/σ

where x is the raw score

μ is the population mean

σ is the population standard deviation

z = (9 - 10)/2.2

z = -1/2.2

= -0.45455

Probability value from Z-Table:

P(x ≤ 9) = P(x < 9)

= 0.32472

Therefore, the proportion of trees having a diameter less than 9 inches is

0.32472

Answer 2

The proportion of trees having a diameter less than 9 inches is 32.64%

z score is used to determine by how many standard deviations the raw score is above or below the mean.

It is given by:

[tex]z=\frac{x-\mu}{\sigma} \\\\where\ x\ is\ raw\ score.\mu\ is\ mean,\sigma\ is \ standard \ deviation[/tex]

Given that μ = 10, σ = 2.2, hence:

[tex]For\ x<9:\\\\z=\frac{9-10}{2.2} =-0.45[/tex]

From the normal distribution table, P(x < 9) = P(z < -0.45) = 0.3264 = 32.64%

The proportion of trees having a diameter less than 9 inches is 32.64%

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Related Questions

Which set of ordered pairs does not represent a function?

\{(5, -6), (-1, -2), (2, -9), (-8, -2)\}{(5,−6),(−1,−2),(2,−9),(−8,−2)}
\{(-5, 7), (-4, -9), (-5, -4), (2, -6)\}{(−5,7),(−4,−9),(−5,−4),(2,−6)}
\{(-4, 2), (-2, 8), (-1, 6), (5, 6)\}{(−4,2),(−2,8),(−1,6),(5,6)}
\{(2, 2), (-4, 9), (9, -3), (-3, 2)\}{(2,2),(−4,9),(9,−3),(−3,2)}

Answers

Answer:

the 1st, 2nd, and 4th one because those ordered pairs, the y axis is the same . sooo thats what makes it a non function .

CAN SOMEONE PLEASE DOUBLE CHECK IF THIS IS RIGHT!!! Please

Answers

Answer:

yes yesss yessssssssssssssssssssssssssssssssssss

Evaluate the expression of X = 3

Answers

Answer:

x=3

Step-by-step explanation:

x=3, there is no formula or anything...

In ΔTUV, t = 6.6 inches, ∠U=71° and ∠V=36°. Find the length of u, to the nearest 10th of an inch.

Answers

Answer:

6.5

Step-by-step explanation:

\text{A.S.A.}\rightarrow \text{Law of Sines}

A.S.A.→Law of Sines

\frac{a}{\sin A}=\frac{b}{\sin B}

sinA

a

=

sinB

b

From reference sheet.

\text{Find other angle:}

Find other angle:

\angle T=180-71-36=73^{\circ}

∠T=180−71−36=73

T

U

V

t = 6.6

u = ?

71°

36°

73°

\frac{u}{\sin 71}=\frac{6.6}{\sin 73}

sin71

u

=

sin73

6.6

Plug in. Opposite sides go together.

u=\frac{6.6\sin 71}{\sin 73} \approx 6.526 \approx 6.5

u=

sin73

6.6sin71

≈6.526≈6.5

Solve for the side and evaluate.

Answer:

6.5

Step-by-step explanation:

deltamath

Choose all numbers that are divisible by 2

Answers

Answer:

91066

32626

Are the only answers there


Which graph represents a function?

Answers

Answer:

graph c represent a function

Step-by-step explanation:

if you do the line test the line will not hot any other points  excpet one

C is the answer for this

Waters added or drain from a tank each day the first day 13/10 of a gallon is added to the empty tank the second day 11/10 of a gallon is drained from the tank the third day 12/10 of a gallon is added to the tank the fourth day 1 gallon is drained from the tank the amount of water in the tank after 15 days is given by

Answers

Answer:

2 gallons

Step-by-step explanation:

You have to find the pattern of adding and draining water for 15 days. To get there you need to subtract 2 and add 1 but keep the negative/positives the same i.e. (this is for the 10ths of gallons)

13-2=11

11+1=10

keeping the pattern for 15 days:

+13, 11,+12,-10,+11,-9,+10,-8,+9,-7,+8,-6,+7,-5,+6 = 20 (10ths of gallons)

20/10 = 2

Find a pair of numbers with

1. a sum of 40 and a product of 400

2. a sum of 15 and a product of 54​

Answers

The correct answer:

1. Those numbers would be, 20 and 20

20 + 20 = 40
20 x 20 = 400


2. Those numbers would be:

9 + 6 = 15
9 x 6 = 54


I hope this helps!!

7th grade Math help please

Answers

Answer: B. 100-h < 40+2h

Step-by-step explanation: If it says the first tank is less it probably is B and not D.

Answer:

Step-by-step explanation:

Its D

Its not B because:

100-1=99 cant be less than 40+4=44

Good luck!

Tyler has 2 dogs and 7 fish. What is Tyler's ratio of fish to dogs?

Answers

Answer:

2:7

Step-by-step explanation:

Answer:

2:7

Easy.

Come on bro this is like one of the easiest questions in the world

Jose filled up his car with gas before embarking on a road trip across the country. The
capacity of Jose's gas tank is 12 gallons and after driving for 4 hours, there were 4
gallons of gas left in the tank. Write an equation for G, in terms oft, representing the
number of gallons of gas remaining in Jose's gas tank after t hours of driving.

Answers

Answer:

g=-2t+12

Step-by-step explanation:

The equation for G representing the number of gallons of gas remaining in Jose's gas tank after t hours of driving will be G = 12 - 2t.

What is a linear equation?

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Jose filled up his car with gas before embarking on a road trip across the country. The capacity of Jose's gas tank is 12 gallons and after driving for 4 hours, there were 4 gallons of gas left in the tank.

The slope of the equation will be

⇒ (12 - 4) / 4

⇒ 8 / 4

⇒ 2 gallons per hour

The equation for G representing the number of gallons of gas remaining in Jose's gas tank after t hours of driving will be

G = 12 - 2t

The equation for G representing the number of gallons of gas remaining in Jose's gas tank after t hours of driving will be G = 12 - 2t.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ2

Use the slope formula to determine the slope of the line.
(6,7) (9,9)

Answers

Answer:

2/3

Step-by-step explanation:

y2-y1/x2-x1

9-7/9-6

2/3

I need lots of help​

Answers

Answer:

with what

Step-by-step explanation:

Given a linear equation in the form y=mx+b, what are the values of the slope and y-intercept of the equation?(1 point) The slope is m, and the y-intercept is y. The slope is x, and the y-intercept is b. The slope is b, and the y-intercept is m. The slope is m, and the y-intercept is b.

Answers

Answer:

The slope is m, and the y-intercept is b.

Step-by-step explanation:

What ever is attached to the x is the slope. The y-intercept is the b because it has a 0 on the x axis and a number on the y axis.

7th grade math help me plzzzz

Answers

Answer:

B.

Step-by-step explanation:

Answer:

0.05 per ounce

Step-by-step explanation:

5.20 per 40 is 0.13 per ounce

whereas

2.70 per 15 is 0.18 per ounce

7th grade help me pleasee

Answers

Answer is 16 because 27 plus (-11) equals 16

not sure need help ​

Answers

Answer:

9^8

43046721

Step-by-step explanation:

Nvm it’s Alrwasy answered

Consider the following table that describes the mass of a kitten as weeks go by. If you know the kitten grows by 10% each week for the first 5 weeks, fill in the table for the values each week.

Week Mass (grams)
(start) 80
1
2
3
4

Answers

Answer:

Week 1 = 80

Week 2 =88

Week 3 = 96.8

Week 4 = 106.48

Week 5 = 117.128

Step-by-step explanation:

Given

Week 1 = 80

Growth = 10%

Required

Fill week 1 to 5

We have week 1 already.

Week 2 is calculated as thus:

Week 2 = Week 1 + 10% * Week 1

Week 2 = 80 + 10% * 80

Week 2 = 80 + 8

Week 2 = 88

Week 3 is calculated as thus:

Week 3 = Week 2 + 10% *Week 2

Week 3 = 88 + 10% * 88

Week 3 = 88 + 8.8

Week 3 = 96.8

Week 4 is calculated as thus:

Week 4 = Week 3 + 10% * Week 3

Week 4 = 96.8 * 10% *96.8

Week 4 = 96.8 + 9.68

Week 4 = 106.48

Lastly, week 5 is calculated as thus:

Week 5 = Week 4 + 10% * Week 4

Week 5 = 106.48 + 10% * 106.48

Week 5 = 106.48 + 10.648

Week 5 = 117.128

Mr. paulson has been on a train for 4 hours and traveled 320 miles. At this rate, how far will he traveled in 5 hours?

Answers

Answer:

at 5 hours he will have traveled 400 mi

Step-by-step explanation:

320÷4= 80

320=4, then 400=5

hope this helps

Tina is five years older than her brother Tom. The sum of their ages is 51 write an equation

Answers

Let:
T=age of Tina
Y= age of Tom
Work:
Y=5+T
T=28 yrs
Y=23
I’ll let I find the equation:)

Determine the slope given the two points:
(4, 9) and (1, 6)
m=

Answers

Answer:

1

Step-by-step explanation:

y2-y1

/

x2-x1

6 - 9

/

1-4

= -3/-3

which simplifies to 1

Question:
x = __ degrees

Answers

Answer:

80°

Step-by-step explanation:

Because a straight line always is equal to 180°

so 180 - 100 = 80

Your answer is 80.

Pls consider marking my answer as Brainliest! It would mean a lot!

domain: {4, 0} range: (-2, 0, 2}
b. domain: {4, 0, 4} range: (-2, 0, 2}
domain: (-2, 0, 2), range: {4,0}
d. domain: (-2, 0, 2), range: {4, 0, 4}

Answers

Answer:

C

Step-by-step explanation:

I believe the answer is C

7th grade math help me plzzz

Answers

Answer:

[tex]b. \: \frac{1}{10} ......series[/tex]

The 3rd one is the one i think

What is 0.22778 as a percentage

Answers

Answer:

22.778%

Step-by-step explanation:

0.22778/1*100/100=22.778/100

x + 4x + 4 - 8x


please help

Answers

Answer:

The answer is -13x+4

-13x+4 is the answer

A package of 3pairs of insulated gloves cost $17.97. What is the unit price of the pairs of gloves

Answers

$5.99 hope that helpssss

5x - 12=18
Solve for x

Answers

X=6
Pls mark brainliest

Answer:

x = 6

Step-by-step explanation:

Add 12 to each side, so it now looks like this: 5x = 30Divide each side by 5 to cancel out the 5 next to x. It should now look like this: x = 6

I hope this helps!

13 = 11 - 4x
Two step equation please help?

Answers

Exact form: X= -1/2
Decimal form: X= -0.5

60000 is how many times greater then 600

Answers

Answer:

100 times greater

Step-by-step explanation:

It is 100 times greater because 600*100 = 60,000

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