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

Thirty men take 20 days to complete a job working 9 hours a day. How many hour a day should 40 men work to complete the job? ​

Answers

Answer:

15

Step-by-step explanation:

30 men = 20 days

40 men= ?

1man =30×20= 600

=600÷40= 15

40 men = 15 days

i' m not really sure if it is wrong sorry

solve for x: 2(3x +1)-4=6 ​

Answers

Answer:

4/3 or 1.3333333...

Step-by-step explanation:

2 x (3x + 1)-4 = 6.

6x+2-4=6.

6x+2=10

6x=8.

X= 1.3333333... OR 4/3

Answer:

refer to the attachment

hope it helps

solve pls brainliest

Answers

Solve what

I think ym forgot to add the question or sth

Help help please math math please

Answers

Answer:

n = 6

Step-by-step explanation:

6÷4 = 9÷n

6n = 9*4

6n = 36

n = 6

solve pls brainliest

Answers

Answer:

Step-by-step explanation:

3.92,

Need help with this...pronto..please​

Answers

1) 130
2) 70
3) 21.5%
4) 77
5) 10

how many fifths are there in 4 wholes? (see the illustrate given)​

Answers

Answer:

To divide two fractions, flip the second fraction and change the operation from division to multiplication. Therefore, there are 20 fifths in four wholes

(A)

.
-1 + 4c = -19
-
-
C =

Answers

Answer:

Hey mate.....

Step-by-step explanation:

This is ur answer....

-1 + 4c = -194c = -19 + 14c = -18c= -18/4c = 9/2

Hope it helps!

Brainliest pls!

Follow me! ♧

when f(x) is greater than 0

Answers

Answer:

Step-by-step explanation:


Use the Quadratic Formula to solve for x and then determine whether your solution is real or
complex.
y = x2 + 5x + 6
** Remember y = 0 **
Real
o Complex
1

Answers

Answer:

[tex] x = -2 [/tex]   or   [tex] x= -3 [/tex]

The solution is real.

Step-by-step explanation:

x^2 + 5x + 6 = 0

[tex] x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]

[tex] x = \dfrac{-5 \pm \sqrt{5^2 - 4(1)(6)}}{2(1)} [/tex]

[tex] x = \dfrac{-5 \pm \sqrt{25 - 24}}{2} [/tex]

[tex] x = \dfrac{-5 \pm \sqrt{1}}{2} [/tex]

[tex] x = \dfrac{-4}{2} [/tex]  or  [tex] x = \dfrac{-6}{2} [/tex]

[tex] x = -2 [/tex]   or   [tex] x= -3 [/tex]

The solution is real.

If f(1) = 10 and f '(x) ≥ 3 for 1 ≤ x ≤ 6, how small can f(6) possibly be?

Answers

Answer:

[tex]f'( x ) = \frac{f(b) - f(a)}{b - a} \\ = \frac{f(6) -f(a)}{6 - 1} \\ 3\leqslant \frac{f(6) - 10}{5} \\ 15\leqslant f(6) - 10 \\ f(6) \geqslant 15 + 10 \\ f(6) \geqslant 25[/tex]

Answer:

25

Step-by-step explanation:

Our "best" case is when [tex]f'(x) = 3[/tex] everywhere - if it changes it means [tex]f(x)[/tex] will grow faster. But if [tex]f'(x)[/tex] is constant, it means [tex]f(x)[/tex] is the straight line [tex] y-10 = 3 (x-1) [tex], which passes through the point (6, 25)

Anything would help :))

Answers

The first one is 3 if that helps

Step-by-step explanation:

1.

x = number

x/4 = x/3 - 1

x/3 - x/4 = 1

4x/12 - 3x/12 = 1

x/12 = 1

x = 12

2.

the numerator is the top (it gives the number of the parts of the whole that are combined in the fraction).

the denominator is the bottom (it says in how many and therefore how small parts we split the whole).

x = numerator

y= denominator

fraction is x/y

y = x + 2

(x+3)/(y+3) = 23

x + 3 = 23(y + 3) = 23y + 69

x = 23y + 66

now we use the first equation (y = x + 2) and substitute it into the last equation :

x = 23(x + 2) + 66 = 23x + 46 + 66 = 23x + 112

x = -112/22 = -56/11

y = -68/22 = -34/11

the original fraction is

x/y = -56/11 / -34/11 = -56/11 × -11/34 = 56/34 = 28/17

3.

in 1 hour the large pipe has done 1/3 of the work. and the small pipe 1/6 of the work.

so, in total in 1 hour we get (1/3 + 1/6) done.

what factor do we need to multiply (1/3 + 1/6) to get 1/1 (the whole work) ?

x(1/3 + 1/6) = 1

x(2/6 + 1/6) = 1

x(3/6) = 1

x × 1/2 = 1

x = 2

it takes both pipes together 2 hours to empty the pool.

4.

very similar to 3.

we are just using days instead of hours.

in 1 day Erwin gets 1/2 of the work done and Ana 1/5 of the work. so, together, 1/2 + 1/5 of the total work in one day.

so, how many days to get 1/1 (the whole work) done ?

x(1/2 + 1/5) = 1

x(5/10 + 2/10) = 1

x(7/10) = 1

7x = 10

x = 10/7

it takes them together 10/7 days to mow the whole lawn.

5x-6<24
on a number line

Answers

Answer:

x<6

Step-by-step explanation:

5x-6<24

Add 6 to each side

5x-6+6<24+6

5x< 30

Divide each side by 5

5x/5 < 30/5

x < 6

There is an open circle at 6 and the line goes to the left.

Step-by-step explanation:

5x - 6 < 24

5x < 24 + 6

5x < 30

x < 6

[tex] \small{\colorbox{black}{\purple{\boxed{\pink{ \sf\:✨ \small{ḀṆṠẇḕṙ \: ḃẏ}✨{ \small{\gray{\boxed{\orange{\: \tt \: - ꆰꍟꈤ꒒ - \:}}}}}}}} }}[/tex]

simplify the expression.

-1 (x+9)

Answers

Answer:

-x-9

Step-by-step explanation:

-1(x+9)

(-1)(x) + (-1)(9)

(-x) + (-9)

-x-9

Answer:

-9x

Step-by-step explanation:

(x+9)=(9x) and then

9x x -1

-9x is the answer

How do I solve the following equation

Answers

Answer:

z = 72

Step-by-step explanation:

-1/4z + 12 = -6

× 4

-z + 48 = - 24

-z = - 72

z = 72

-6-12=-1/4z
-18=-1/4z
Z=-18/-./25
Z=72

Plz check it

IF YOU ARE REALLY GOOD A MATH THEN PLEASE ANSWER THIS !!!
Your help will be much appreciated because i am losing my sanity doing this math

Answers

Hey there!

Let's take the number of cows in the field as 'c'.

Then, the number of horses in the field is = c + 2 [2 more horses than cows]

Total number of animals on the field = 16.

So, equation becomes...

c + c + 2 = 16

2c + 2 = 16

Hope it helps ya!

some one plz help will make brailist if right

Answers

Answer: 31 1/2

I hope this helps I would appreciate brainliest if possible :)

Correct answer will get brainiest

Answers

Answer:

x=75

Step-by-step explanation:

(2x-67)+(x-23)+3x=360

6x-67-23=360

6x=450

x=75

Write the equation of the line passing through the points (6,2) and (-2,-2). The equation of the line is [] Please helppp!!

Answers

Answer:

Step-by-step explanation:

slope=(-2-2)/(-2-6)=-4/-8=1/2

eq. of line is

y-2=1/2(x-6)

2y-4=x-6

2y=x-6+4

2y=x-2

or y=1/2x-1

a. Complete the table to chart his calorie expenditure for different amounts of time.
Time (minutes)
to
5
45
30
120
20
80
75
15
Calories Burned
to
20
9
b. Plot the table of values on the graph.
X/
x9
400f%
300
Calories Burned
200
100
20
10 20 30 40 50 60 70 80 90 100
Time (minutes)

Answers

Answer:

you are missing the values; 25, 50, 90, and 105

Solved by using - Guv=8piG(Tuv+P^Guv)

what is the total surface area of the prism in square inches

Answers

Answer:

Surface area of a square prism = 4 × (s × h) = 4sh, where, s is the length of the side of the square and h is the height of the square prism.

I need to learn about percent, proportion, and mixture word problems

Answers

Answer:

Percent:

There are many formulas for percentage problems. You can think of the most basic as X/Y = P x 100. The formulas below are all mathematical variations of this formula.

X and Y are numbers and P is the percentage:

Find P percent of X

Find what percent of X is Y

Find X if P percent of it is Y

Mixture:

Solving a percent mixture problem can be done using the equation Ar = Q, where A is the amount of a solution, r is the percent concentration of a substance in the solution, and Q is the quantity of the substance in the solution.

Proportion:

Many "proportion" word problems can be solved using other methods, so they may be familiar to you. For instance, if you've learned about straight-line equations, then you've learned about the slope of a straight line, and how this slope is sometimes referred to as being "rise over run". But that word "over" gives a hint that, yes, we're talking about a fraction. And this means that "rise over run" can be discussed within the context of proportions.

Step-by-step explanation:

Hope This Helps!

help me guys l don't know this ??????​

Answers

PEMDAS is the order of operations. Here’s how to solve this expression:

Expression: 15+14 ÷ 2-4•5

1.) Parentheses: there are no parentheses to
simply.
2.) Exponents: there are no exponents to
simply.
3.) Multiplication and Division: multiplication and division have an equal relationship meaning one operation doesn’t have a priority over the other. So, we work left to right as to what operation comes first.

In the expression 15+14 ÷ 2-4•5, we see that 14 ÷ 2 comes first because it’s to the left.

14 ÷ 2 = 7

15+(7)-4•5 after division, now we need to multiply.

-4•5 = -20

Therefore, 15+(7)-(20) is the simplification.

4.) Addition and Subtraction: addition and subtraction come after multiplication and division and also have an equal relationship. So again, we work left to right as to which operation comes first.

In the expression 15+7-20, 15+7 comes before 7-20.

15+7 = 22

So, (22)-20 after addition. Now we need to subtract.

22-20 = 2. That’s your answer!

Alec is 3 years older than 11 times the age of his nephew Luke. If A represents Alec's age and L represents Luke's age, which equation is true?​

Answers

Answer:

A = 11L + 3

Hope this Help

A= 11l + 3 trust me i got it right !

3. Kayla bought 3 pounds of peachee for
$1.49 per pound. How much did she pay for
the peaches?

Answers

Answer:

$4.47

Step-by-step explanation:

If one pound is $1.49 then you would multiply it by 3 ro get how much 3 pounds would be.

$1.49 x 3 = $4.47

Hope this was helpful =D

If it was, maybe I could be brainiest?

No pressure! :)

Which is the largest of the following numbers? 0.1, 0.02, 0.003, 0.0004, 0.00005

Answers

answer is the option 0.1

Answer:

0.1

Step-by-step explanation:

By looking at numbers after the decimal point, the largest number comes the soonest. Looking at our options here, 0.1 would be the largest since it is the closest to 1, whereas 0.00005 is the smallest because it is very far from 1.

ar can drive 90 miles on 3 gallons of gas. How
many miles can be driven with 11 gallons of gas?

Answers

90* 3 = 30
30 x 11 = 330
330 miles

HELPPP THIS IS SO HARD Keegan and Jeff did some research and found that there are approximately 7,492,000,000,000,000,000 grains of sand on Earth. Jeff says that it is about 7 × 10(15) grains of sand. Keegan says that this is about 7 × 10(18) grains of sand.



Guys please add the step by step so they dont know im cheating

Answers

Answer:

Keegan is correct.

Step-by-step explanation:

Keegan is correct.

Put a decimal point after the first digit which is 7. Count decimal places there are after the 7, this will be your power of 10. There are 18 decimal places after the 7. This means the answer would be 7 x 10^18.

Basically, Keegan is right

when you present 7,492,000,000,000,000,000 in standard form, it is indeed, 7×10¹⁸, the reason Jeff is wrong is because he only counted Os and not the numbers 492 which Keegan rounded to Os. Ok, to simply this 7×10¹⁵ equals 7 000 000 000 000 000, and 7×10¹⁸ is 7 000 000 000 000 000 000 while is closer to thee original answer than Jeff's response.

Please mark BRAINLIEST if you're satisfied with this explanations.

Answer fast, please!!

Answers

the answer is B!!!!

What is the volume of the storage bin?

Answers

Answer:

Step-by-step explanation:

volume = 180 * 9

volume = 1620 in³

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