Suppose the diameter at breast height (in.) of a certain type of tree is distributed normally with a mean of 8.8 and a standard deviation of 2.8.

(a)What is the probability that the diameter of a randomly selected tree will be at least 10 inches? Will exceed 10 inches.

(b) What is the value of c so that the interval (8.8-c, 8.8+c) contains 98% of all diameter values.

Answers

Answer 1

Answer:

a. 7% b. 1.4 inches

Step-by-step explanation:

(a)What is the probability that the diameter of a randomly selected tree will be at least 10 inches? Will exceed 10 inches.

Since our mean, x = 8.8 and standard deviation, σ = 2.8, and we want our maximum value to be 10 inches,

So, x + ε = 10 where ε = error between mean and maximum value

So,8.8 + ε = 10

ε = 10 - 8.8 = 1.2

Since σ = 2.8, ε/σ = 1.2/2.8 = 0.43

ε/σ × 100 % = 0.43 × 100 = 43%

Since 50% of our values are in the range x - 3σ to x and 43% of our values are in the range x to x + ε = x + 0.43σ, the probability of finding a value less than 10 inches is thus 50 % + 43% = 93%.

So, the probability of finding a value greater than 10 inches is thus 100 % -   93 % = 7 %.

(b) What is the value of c so that the interval (8.8-c, 8.8+c) contains 98% of all diameter values.

Since 98% of the values range from 8.8-c to 8.8+c, then half of the interval is from 8,8 - c to 8.8 or 8.8 to 8.8 + c. So, the number that range in this half interval is 98%/2 = 49%

So, c/σ × 100 % = 49%  

c/σ = 0.49

c = 0.49σ = 0.49 × 2.8 = 1.372 ≅ 1.37 inches = 1.4 inches to 1 d.p


Related Questions

Name the coordinates of P if P(0, 4) is rotated 180°

Answers

Answer:

P'(0, -4)

Step-by-step explanation:

when a coordinate (x, y) is rotated by 180 degrees, the resulting coordinate will be (-x, -y). Note that each coordinate is negated when rotated about 180 degrees

Given the coordinate P (0, 4). When rotated by 180 degrees, the resulting coordinate will be at P'(0, -4)

Please help me I really need it this is hard for me

Answers

Answer:

27.6 cm

Step-by-step explanation:

Answer: 44.6

Step-by-step explanation:

It’s not that hard use the formula of the volume of a sphere. And just replace the R with whatever your radius is, if you have a diameter just divide it by 2 to get the radius. Hope this helps

Find the area of the circle. Round your answer to the nearest hundredth. diameter 3in

Answers

Area of circle = pi × r squared

A= 3.14....× (1.5×1.5)

A= 7.068583471

A= 7.07in( to nearest hundredth)

how many different four-digit ID tags can be made if repeats are allowed​

Answers

Answer:

4!

Explanation:

4! = 4×3×2×1 = 24

here's an example:

123412431324134214231432213421432314234124132431312431423214324134123421412341324213423143124321

Which of the following graphs best represents a function that has a minimum value and x-intercepts of 3 and -1?

Answers

Answer:

a

Step-by-step explanation:

Only one correct answer

Answers

Answer:

19

Step-by-step explanation:

ngl its kinda easy 5(2)+3(3) = 10+9 = 19

Answer:19

Step-by-step explanation:5x2=10+3x3=9 so 10+9=19

I need help with this , 7x-3y+4x-5y+8x-6y​

Answers

Answer:

19x−14y

Steps:

7x-3y+4x-5y+8x-6y

=19x-3y-5y-6y

= 19x−14y

plz mark as brainliest

Answer:

19x-14y

Step-by-step explanation:

rearrange

7x+4x+8x-3y-5y-6y

solve the coefficient and add the variables

median for 15,17,15,16,14,18,5

Answers

Answer:

the median is 15

Explanation:

you can find the median by arranging the numbers from smallest to largest and finding the number in the middle.

5 14 15 15 16 17 18

in this case, the number in the middle is 15 so the median for this data set is 15.

i hope this helps! :D

The rent for an apartment was $6,600 per year in 2012. If the rent increased at a rate of 4% each year thereafter, use an exponential equation to find the rent for the apartment in 2021

Answers

Answer:

$9,393.78

Step-by-step explanation:

Using the equation:

A = P(1+r)^t

Where,

A = final amount

P = initial amount = $6,600

r = rate of increase = 4% = 0.04

t = time in years = 9 years (2012-2021)

A = 6,600(1 + 0.04)^9

= 6,600(1.04)^9

= 6,600(1.4233)

= 9,393.78

A = $9,393.78

someone help me please like right now lol of and don’t put any links pls!

Answers

Answer:

8 shirts

Step-by-step explanation:

Find the volume of a cylinder with a diameter 4 mm and a height 8 mm.

Answers

Answer:100.53mm

Step-by-step explanation:

PLS HELP I'LL GIVE YOU BRAINLIEST In a recipe you need 200 g of flour to make 8 cookies. Rosie has 480 g of flour. What is the greatest number of cookies rosie can make?

Answers

Answer:

19 cookies

Step-by-step explanation:

200/8 = 25

25 grams of flour in each cookie.

480/25 = 19.2

Rosie can make up to 19 cookies with 480g of flour

Answer:

The greatest number of cookies Rosie can make is 19 cookies.

Step-by-step explanation:

200g = 8 cookies

400g = 16 cookies

475g = 19 cookies

you only have 480 g of flour and 1 cookie uses 25 g of flour.

Your Welcome!

What is the volume of a box with 385 cubes and 11/3 x 5/3 x 7/3

Answers

Answer:

y

=

x

2

2

x

,  

y

=

x

Step-by-step explanation:

A car drove 5 miles in 30 minutes. How far will the car go in 1 hour? ​

Answers

Answer: 10 miles

Step-by-step explanation:

Practically, just look at it.  30 minutes = 5 miles, 60 minutes = 10 miles

Mathmatically, find the constant of proportionality.

30 minutes divided by 5 miles = 6 minutes per 1 mile. 60 minutes = 10 miles

Simplify 2xy(4x+7-3y

Answers

Is it not just going to be distributed out into 8x^2+14xy-6xy^2

Which statements are correct? Check all that apply. 5 students study both French and Spanish. 63 students study French. 2 students study neither French nor Spanish. 30 students study French, but not Spanish. 63 students study Spanish.

Answers

Answer:

The correct answers are:

• Option 1,

• Option 3 and

• Option 4

Step-by-step explanation:

From the two-way table, it is true that;

1.) 5 students study both French and Spanish.

2.) 30 students study French but not Spanish.

3.) 2 students study neither French nor Spanish

4.) 35 students study French

5.) 68 students study Spanish

6.) 63 students study Spanish but not French

This makes the correct answers options 1, 3 and 4

P.S: I believe your question is from the attached image

Answer:

A. 5 students study both French and Spanish.

C. 2 students study neither French nor Spanish.

D. 30 students study French, but not Spanish.

:)

The members of a drama club sold tickets to a school play.
Each student ticket (s) costs $5.
Each adult ticket (a) costs $7.
28 more student tickets were sold than adult tickets.
The total amount of ticket sales was $800.
Which equation can be used to determine the number of adult tickets sold:
a
5(a + 28) + 75 = 800
b
5(a + 28) + 7a = 800
5(S + 28) + 7 a = 800
d
5(5 + 28) + 75 = 800

Answers

Answer:

Step-by-step explanation:

28*5 115 sub 115 from 800 then divide 685 by 5 then add 7 into that number 28 times

Arthur has a balance of $2330 on his credit card, which he plans to pay off by

making a payment of the same amount each month. Which of these monthly

amounts will allow Arthur to pay off his balance the fastest?

Answers

Answer:

C. $80

Step-by-step explanation:

A. $70

B. $65

C. $80

D. $75

When he pays $70 monthly

Number of months = $2330 / $70

= 33.3 months

When he pays $65 monthly

Number of months = $2330 / $65

= 35.9 months

When he pays $80 monthly

Number of months = $2330 / $80

= 29.1 months

When he pays $75 monthly

Number of months = $2330 / $75

= 31.1 months

The monthly amounts that will allow Arthur to pay off his balance the fastest is $80 per month

please help with this ?!?

Answers

Radius = 1/2 Diameter
Diameter = 12
Radius = 6

Area of circle = (pi) r ^2
=pi 6^2
=36pi

Area = 113.1 cm^2

(x+3)(x-3)(3x+2) can you work this out please

Answers

Answer: 3x^3 + 2x^2 −27x −18

Step-by-step explanation below.

(x+3)(x−3)(3x+2)

=((x+3)(x−3))(3x+2)

=((x+3)(x−3))(3x)+((x+3)(x−3))(2)

=3x3−27x+2x2−18

=3x3+2x2−27x−18

Hope this helps!

3x^3+2x^2-27x-18 is that answer to you question


Which is the minimum or maximum value if the given function
А.
The function has a maximum value of -4.
B.
The function has a minimum value of -4.
C. The function has a maximum value of -3.
D
The function has a minimum value of -3

Answers

...............................no question

please explain clearly

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The solution to the question

2. Columbia Records unvelled the LP (a vinyl record) in the Waldorf Astoria on June 18, 1948,

In two fomats: 10 inches in diameter and 12 Inches in diameter. If the thickness of one

vinyl record is 0.112 in, then determine the difference in volumes between the 10 inch and

12 inch records.

Answers

u can download the answer in the link

1 1/4 feet in yards pls

Answers

Answer: 0.416666667 yards

Answer:

2/5 of a yard

Step-by-step explanation:

Hope this helps and have a wonderful day!!!!

What is the volume of the two boxes?

Answers

Answer:

volume = 2520 mm³

Step-by-step explanation:

v = 2x12x7x15 = 2520 mm³

Find the volume of the cone.
please help me.​

Answers

Answer:

46.08

Step-by-step explanation:

the formula for finding the volume of the cone is: V = π r^2 h/3

Insert the information provided (2 because half the diameter is the radius)

and solve. Hope this helps!

Can you help me solve this?

Y-intercept= 4, goes through the point (2, 3)

Please solve using y=Mx+b

Answers

Answer:

y=-1/2x+4 Is your answer

Step-by-step explanation:

y=mx+b

3=2x+4

-1=2x

x=-1/2

You already know y is 4 so y=-1/2x+4

How many solutions would there be for the following system of equations? y = 3x - 5 67 – 2g = 10 A 1 Solution B 2 Solutions c) No solution D Infinitely Many solutions​

Answers

Answer:

D

Step-by-step explanation:

Given the 2 equations

y = 3x - 5 → (1)

6x - 2y = 10 → (2)

Substitute y = 3x - 5 into (2)

6x - 2(3x - 5) = 10

6x - 6x + 10 = 10 ( subtract 10 from both sides )

6x - 6x = 0 , that is

0 = 0 ← True

This indicates the system has infinitely many solutions → D

Help
I dont know the answer im not very smart

Answers

the domain of G is 4 and the range of G is 9 (domain=x, range=y :))

what is 21x+1 in simple form

Answers

Answer:

( 21 x X ) + 1

Step-by-step explanation:

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