he heights of one hundred trees in a certain forest are measured. It’s found that the mean height of the trees is 48 feet. Use this information to answer the following:
Would it be possible to have a standard deviation of 7.5 feet? If so, what would this tell us about the tree heights in the forest?
Would it be possible to have a standard deviation of 1? If so, what would this tell us about the tree heights in the forest?
Would it be possible to have a standard deviation of 0? If so, what would this tell us about the tree heights in the forest?
Would it be possible to have a standard deviation of -2.5? Why or why not?

Answers

Answer 1

Using the concept of standard deviation, it is found that:

It would be possible to have standard deviations of 7.5 feet and 1 feet, which would mean that the distribution of tree heights are normal.It would be possible to have a standard deviation of 0 feet, which would mean that all trees have the same height.It would not be possible to have a standard deviation of -2.5 feet, as it is always a positive value.

The standard deviation of a data-set is given by the square root of the sum of the differences squared of each observation and the mean, divided by the one less than the number of values. It is always a positive value, thus, a standard deviation of -2.5 feet, for example, is not possible.If a data-set has a standard deviation of 0, it means that all values in the data-set are the same.

In a normal distribution, 99.7% of the measures are within 3 standard deviations of the mean.

[tex]48 \pm 3(7)[/tex] and [tex]48 \pm 3(1)[/tex] are both reasonable distributions for the tree heights, thus, it is possible to have standard deviations of 7.5 and 1 feet.

A similar problem is given at https://brainly.com/question/24754716


Related Questions

1) Eight times the difference between a number and seven, is the same as when five times
the number is increased by four. Find the number.

Answers

Tip: Go step-by-step

Let the number = x

Eight times the difference between a number and seven.. = 8(x-7)

is the same as... =

the number increased by 4.. x+4

8(x-7)=x+4

Distribute

8x-56=x+4

Subtract x from both sides

7x-56=4

Add 56 to both sides

7x=60

x=60/7

From past experience, it is known that a telemarketer makes a sale with probability 0.2. Assuming that results from one call to the next are independent. Determine the probability that telemarketer makes:___.
a. the first sale on the third call
b. the first sale after the third call
c. the second sale on the fifth call
d. the second sale before the fifth call

Answers

It could be A no C but maybe D but B also looks like a great option to choose

What did James earn this pay period? (use pay stub) *
1 point
$1451.28
$1000.00
$709.74

Answers

make a purchase, then the statement is true.
If you just leave the balance <> to 0 and don't purchase anything more, the interest just keeps on building up. It is the surest way to get into financial trouble.

The area of manang district is square kilometre is 2,246 find the prime factors of 2246​

Answers

The prime factor of 2246 is 1123

Can someone please show a piece of paper or ex’s plum how you do h point?

Answers

Answer:

(-1,-1)

Step-by-step explanation:

well a square has four sides and they are all equal so it would have to be (-1,-1) for the sides to be equal

A principal of $2200 is invested at 6.25% interest, compounded annually. How much will the investment be worth after 13 years

Answers

Answer:

Let S = Sum after 13 years

So = amount invested

t = time in years

i = annual interest rate = .0325

The S = So(1+i)t = $2,200(1.0325)13 = $3,334.21

After 13 years, the investment will be worth approximately $4365.67. To calculate the future value of the investment after 13 years with annual compounding interest, we can use the formula for compound interest.

Future Value (FV) = Principal (P) * (1 + (Interest Rate (r) / 100))^Time (n)

Where:

P = Principal (initial investment)

r = Annual interest rate (as a decimal)

n = Number of years

Given:

Principal (P) = $2200

Annual interest rate (r) = 6.25% = 6.25/100 = 0.0625 (as a decimal)

Number of years (n) = 13

Now, let's calculate the future value:

FV = $2200 * (1 + 0.0625)^13

FV = $2200 * (1.0625)^13

FV ≈ $2200 * 1.984396861  (rounded to 9 decimal places)

FV ≈ $4365.672097  (rounded to 2 decimal places)

After 13 years, the investment will be worth approximately $4365.67.

To know more about investment:

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Based on your equation, what was the car’s approximate initial velocity (at time=0)?

Answers

From the intercept of the line of best-fit, the car’s approximate initial velocity was of 5.7 m/s.

How to find the equation of linear regression?

To find the regression equation, also called line of best fit or least squares regression equation, we need to insert the points (x,y) in the calculator. These points are given on a table or in a scatter plot in the problem.

For this problem, the input and the output are defined as follows:

Input: Time in seconds.Output: Velocity in m/s.

Hence the points are given by:

(2, 13.1), (4, 19.8), (6, 28.1), (8, 34.6).

Using these points and a calculator, the equation is:

v = 3.64s + 5.7

The intercept of 5.7 represents the initial velocity in m/s.

A similar problem, also involving a line of best-fit, is given at https://brainly.com/question/22992800

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six cocker spaniels have a total weight of 192 pounds. Five golden retreivers have a average weight of 71 pounds. what is the average weight of all 11 dogs.

Answers

Answer:

23.9lbs or 24lbs

Step-by-step explanation:

This may not be correct so don't bet your first born on it

PLS HELP ME I NEED IT

Answers

Step-by-step explanation:

the area = [tex](\frac{1}{2}) (18)(4)\\[/tex] = [tex]36ft^{2}[/tex]

please give me a brainliest answer

Two angles are complementary. One angle is 8º less than three times the other angle. Find the measures of the angles.
Part 1 of 2
The smaller angle is
Part: 1 / 2
Part 2 of 2
The larger angle is
Submit Assignment

Answers

Answer:

Step-by-step explanation:

complementary angles sum to 90°

Let angle 1 =  x

    angle 2 =  3x - 8

  3x - 8 + x = 90

             4x = 98

               x = 24.5°

3(24.5) - 8 = 65.5°

or

90 - 24.5 = 65.5°

HELP ME!!!! MY HOMEWORK IS SOOO CONFUSING

Answers

i thing the answer is D the last chart

The degree of the polynomial function f(x) is 4.The roots of the equation f(x)=0 are −6, −2, 1, and 3.Which graph could be the graph of f(x)?

Answers

It’s a s 7.47 because of the five and six

Please helppppppppppppp!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

558

Step-by-step explanation:

The sum of the first n numbers is ½n(n + 1)

which is the left most number in each row number n

so finding the row containing 526

½n(n + 1) > 526

½n² + ½n > 526

n² + n > 1052

n² + n - 1052 > 0

n > (-1 + √(1² - 4(1)(-1052))) / 2(1)

n > 31.938

so 526 is almost to the end of the 32 row.

The end of that row is ½(32(33)) = 528

so 526 resides two spaces to the right of 528

The end of the row below it, row 33, is ½(33)(34) = 561

As each row is one number longer than the previous row, we count back

2 + 1 = 3 numbers from the end to find what is under 526

561 - 3 = 558

6) Find the equation of a line that is parallel to y = 2x + 3 and passes through (-1,-1).
A) y = 2x + 1
B) y = 2x + 3
C) y = 4x + 3
D) y = 4x + 5

Answers

Answer:

A Y=2X + 1

Step-by-step explanation:

2x wouldn't the same because of the fact that is Is a parallel line and setting the slope to 1 caused it to pass through (-1,-1)

PLZ HELP ME SOMEONE!!!

Answers

Answer:

131

Step-by-step explanation:

Hope this helps

Answer:

the answer is 130.9 round it up and you get 131

Step-by-step explanation:

How to type a line above the number 6 on chromebook.

Answers

Answer:

you put in the number 6 but you leave room uptop so enter and then put 6 for the----- so in other words

-----

6

What did you learn in this lesson about the value of leaving the money invested for long periods of time? How can you apply this to retirement?

Answers

Answer:

65435675e

Step-by-step explanation:

12456764 br5654365

Hello, i need some help for questions 2-5 please

Answers

Answers:

4. =9.999........

Examplantion :

5×2÷3=9.99999..........

The container that holds the water for the football team is 2/3
full. After pouring out 3
gallons of water, it is 1/2
full. How many gallons can the container hold?

Answers

Answer:

18 gallons

Step-by-step explanation:

We'll find out how much of the total container was lost when pouring out by subtracting 2/3 from 1/2.

2/3 = 4/6

1/2 = 3/6

4/6 - 3/6 = 1/6

1/6 of the total amount the container could hold was lost when 3 gallons was poured out. This means that 1/6 of the container equals to 3 gallons. We can then simply multiply 3 by 6 to find the number of gallons of liquid the container can hold.

3 * 6 = 18 gallons

Checking my answer:

18 * 2/3 = 6 * 2 = 12

12 - 3 = 9

1/2 of 18 = 9

This means that our answer is correct.

PLZ ANSWER WILL GIVE BRAINLYEST!!!!
What are the x and y-intercepts of the line described by the equation?

3x−9y=10.8
Question 2 options:

x-intercept = 1.2

y-intercept = -3.6


x-intercept = -1.2

y-intercept = 3.6


x-intercept = -3.6

y-intercept = 1.2


x-intercept = 3.6

y-intercept = -1.2

Answers

Answer:

x-intercept = 3.6

y-intercept = -1.2

Step-by-step explanation:

como se escribe 654,007,000 en letra​

Answers

Answer:

seiscientos cincuenta y cuatro millones siete mil

John and Jill collect 280 stamps. Out of this John collected three time as many as
Jill. How many stamps did Jill collected?

Answers

Answer:

Jill collected 70 Stamps

John collected 210 Stamps

Step-by-step explanation:

280/4=70

Please allow me to know if my answer helped you with a thank you!

<3Miss Hawaii

You deposit $200 in a savings
account that pays a simple
interest rate of 3.25% per year.
How much interest will you earn
after 5 years?

Answers

Answer:

$16.25

Step-by-step explanation:

First, you have to find 3.25*5 which is 16.25.

16.25 is the percent rate of your total interest over the course of 5 years.

In other words, you have to do 200*0.1625 which is 32.5.

So, your answer is $16.25.

Good luck!

$16.25 I took the test

When the mortgage is completely paid off your house, it will be 5 times as old as it is now. If you have 28 years left on the mortgage, how old is the house now?

Answers

Well this will depend on if you have a 30 year mortgage and if there is 28 years left you paid 2 years only. 0.214

Caleb wants to rent a kayak. Kayak rentals cost $91.61 for a half hour. If Caleb rents a kayak for 2.9 hours, how much will it cost him?

Answers

Answer:

$265.669

Step-by-step explanation:

$91.61 times 2.9 equals 265.669, therefore it would cost him $265.669. Round up/down if needed.

Can somebody help me with number 5 and number 8

Answers

Answer:

8.b. 5.d

Step-by-step explanation:

I think. because of space is not to famielier on me and between of point i think

Can you please tell me the answer please

Answers

Answer:

34°

Step-by-step explanation:

21x - 1 + 11x +1 + 26x + 6 = 180

58x -1 +1 +6 = 180

58x +6 = 180

58x = 174

x = 3

11 × 3 + 1 = 34


help meeeeeeeeeeeee





2/3u. 4/2u².3=

Answers

Answer:

4u³

Step-by-step explanation:

2/3u × 4/2u² = 4/3u³

4/3u³ × 3/1 = 4u³

Answer:

4u³

Step-by-step explanation:

[tex]2/3u*4/3u^2*3=[/tex][tex]2/3*4/2*3u^{1+2}=[/tex][tex]4u^3[/tex]

Help please thank you

Answers

Mistake is both the numbers were added. After multiplication, it becomes 3.3 * 10^8

Use rounding to the nearest whole number to estimate the product

4 1/4 • 7 9/17

A) About 32
B) About 35
C) About 40
D) About 25

Answers

Answer:

A) About 32

Step-by-step explanation:

4 1/4 • 7 9/17

The first one is rounded down as 1/4 < 1/2 and the second one rounded up as 9/17 > 1/2.

4 * 8 = 32

Correct choice is A

4 1/4=17/47 9/17=128/17

Product

17/4(128/17)128/432

Option A

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