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

The probability that record drawn randomly from a standard deck of 52 cards is a four

Answers

Answer:

1/13

Step-by-step explanation:

no.of sample space n(S) = 52

no.of favourable cases n(E) = 4

probability of getting a four p(E) = n(E) / n(s)

or, 4/52

or 2/26

or 1/13

therefore,the probability of getting a four is 1/13.

Need help, look at picture

Answers

Line AB is the diameter

Looking at the two, 7[tex]a^{4} b^{2} c^{2} and14abc^{6}[/tex]

what is the GCF of these

Answers

Answer:

[tex]7abc^{2}[/tex]

Step-by-step explanation:

y=2/3x constant of proportionality

Answers

Answer:

Looking at the equation, k=23 is our constant of proportionality because 23 is the constant number we multiply x by.

Bryon purchased a box of candy at the store. On his way home he ate 1/4 of the candy from the box. At dinner with friends later that night he served 1/2 of what was left. If there are 6 chocolates left in the box, how many did the box contain to start with?​

Answers

Answer:

6+6=12

12= 3/4th of the entire box

4=1/4th of the entire box

12+4=16

There was 16 chocolates originally.

Step-by-step explanation:

6 are left , 1/2 was eaten and a 1/4 was eaten. 6 left is equal to a 1/4. if a quater is 6 and their are 4 1/4 in a whole at 6 represent each quarter then 6*4=24

2) A pool is being filled with a hose. The equation y=12x represents the relationship between
the number of gallons of water in the pool (y) and the number of minutes the water runs (X). If
this relationship is represented on a graph, which ordered pair would not lie on the line?
NEED HELPS ASAP PLS AND THANK U

Answers

Answer:

D)  

Step-by-step explanation:

y = 12x.

A) x=8, so that y = 12(8) = 96.  It's on the line

B) x = 10, so that y = 12(10) = 120.  It's on the line

C) x = 15, so that y = 15(12) = 180.  It's on the line

D) x = 18, so that y = 18(12) = 216, not equal to 206.  So, the point is not on the line.

Find the surface area and the volume of the prism .​

Answers

Answer:

[tex]14 + 4 + 5.5 + 3 + 5.5 {?}^{2} [/tex]

Answer:

Step-by-step explanation:

We have 2 congruent large prisms and one small one.

Volume of a large one= 2*2*14 = 56 cm^3.

Volume of smaller one = 4*3*2 = 24 cm^3.

So volume of the whole prism

= 2*56 + 24

= 136 cm^3.

Surface area of a large one = 3*2*14 + 2*2*5.5 + 2*2*2 = 114

Surface Area  of smaller one = 4*3*2 + 2*2*4 =  40

So surface area of the whole prism

= 2 * 114 + 40

= 268 cm^2.

The perimeter of a regular pentagon is 4 1/7

cm. Find the length of its each side​

Answers

Answer:

29/35 cm for each of the 5 sides

Step-by-step explanation:

The perimeter is the length of all the sides added together.  A pentagon has 5 sides.  So you'd need to divide 4 1/7 by 5.

It might be easier to divide 4 by 5 and then divide 1/7 by 5 then add the two numbers together.

4/5 = 0.80 or 8/10

1/7 divided by 5  is written as (1/7) / (5/1)

When you divide a fraction by a fraction, you flip the fraction in the denominator over and multiply the new fractions.

So (1/7) / (5/1)  turns into   1/7  x  1/5 = 1 / 35

Adding 8/10 + 1/35, you first need to find the common denominator which would be 70.

8/10 would turn into 56/70

1/35 would turn into 2/70

Add them together now and you get 58 / 70.  This can be reduced down to

29 / 35.

Before doing the question let's recall that their are two types of shapes mostly , irregular and regular . Regular shapes have all their sides equal while irregular doesn't have. And here The given shape is pentagon so it will have 5 sides . Also , it's perimeter is given i.e sum of it's all sides , If we assume it's one side to be s then perimeter will be (s+s+s+s+s) more conveniently 5s . Now , heading to our question ,

[tex]{:\implies \quad \sf 5s=4\dfrac{1}{7}}[/tex]

[tex]{:\implies \quad \sf 5s=\dfrac{4\times 7+1}{7}}[/tex]

[tex]{:\implies \quad \sf 5s=\dfrac{28+1}{7}}[/tex]

[tex]{:\implies \quad \sf 5s=\dfrac{29}{7}}[/tex]

[tex]{:\implies \quad \sf s=\dfrac{29}{7\times 5}}[/tex]

[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{Each\:\: Side=\dfrac{29}{35}\:\: cm}}}[/tex]

MATH PLEASE HELP!!!!!!!!

Answers

Go to desmos and input this equation. It will show you the graph

Can yall please help me with this I am helping my brother I just need the answers lol.

Answers

Answer:

hope it helps

Step-by-step explanation:

4. 1/3

5. 1/3

6. 3/4

7. 1/4

8. 1/2

9. 3/7

10. 2/7

11. 3/5

12. 2/3

I think of a number Then multiply it by 3 then add 4 then divide by 4 my final answer is 3 less than the number is the number i thought of the beginning.

Write it as an equation and solve.

Answers

(3x + 4) / 4 = x - 3
3x + 4 = 4x - 12
-x + 4 = -12
-x = -16
x = 16

Check:
(3x + 4) / 4 = x - 3
(3*16 + 4) / 4 = 16 - 3
(48 + 4) / 4 = 13
52 / 4 = 13
13 = 13

Charlie rented a truck for one day. There was a base fee of $16.95, and there was an additional charge of 93 cents for each mile driven. Charlie had to pay
205.74 when he returned the truck. For how many miles did he drive the truck?

Answers

Answer:

Charlie drove 203 miles

Step-by-step explanation:

205.74-16.95=188.79

188.79/.93=203

Have a happy day <3 Miss Hawaii

5.) I somehow got $50 to buy hair dye, so I got 4 bottles of hair dye I had 5 dollars left, how
much was the hair dye?

Answers

Answer:

10

Step-by-step explanation:

is the answer

mark me as brainlest

Answer:

The hair dye was $11.25

Step-by-step explanation:

4x+5=50

4x=45

x=11.25

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

Please help guys this is hard for my 3rd grader Brain

Answers

Answer:

Add/multiply the exponents first.

Step-by-step explanation:

How to solve x/m = n/p. Solve for x. Please include steps for solving. Thank you

Answers

Answer:

[tex]x=\frac{n}{p}m[/tex]

Step-by-step explanation:

Since we have two variables on the left side (x and p), and they are being divided, we need to do the opposite in order to get it to the other side. Therefore, we multiply both sides of the equation by m.

Doing that, we get

[tex]\frac{x}{m} m=\frac{n}{p}m\\\\\\So,x= \frac{n}{p}m\\[/tex]

Bobby is in an office manager at a weekly newspaper. He earns $22.50 per hour. How many hours per week does Bobby work if he earns $522 per week? Show Work please.

Answers

Divide total pay by hourly rate:

522 / 22.50 = 23.2 hours

Answer: 23.2 hours

A parallel line is a _____ of the original line

rotation
translation

Answers

A parallel line is a translation of the original line.
A parallel line is sometimes a translation of the other line, with the same exact slope but different y-intercepts or starting points.

5 1/2 ÷3/4 write it in fraction form ​

Answers

The Answer:  

Simplified 7 1/3

Improper 22/3

Answer:

[tex]5 \frac{1}{2} \div \frac{3}{4} = \frac{22}{3} [/tex]

Step-by-step explanation:

[tex]5 \frac{1}{2} \div \frac{3}{4} \\ \\ \\ \frac{11}{2} \div \frac{3}{4} \\ \\ \frac{11}{2} \times \frac{4}{3} \\ \\ \frac{11}{1} \times \frac{2}{3} \\ \\ \\ \frac{11 \times 2}{1 \times 3} = \frac{22}{3} [/tex]

I hope I helped you^_^

100 Points. Help solve. The sides are X, y, and 8. The reference angle is 60 degrees. Thanks

Answers

Step-by-step explanation:

y=8tan60=8√3

x=8/cos60 = 8 × 2 =16

no link or bot please right

Answers

Step-by-step explanation:

Answer in the picture above

And at the side 2 laws are mentioned

thanks for the answer

Answers

Answer:

there's no questions haha, ty sa points

Answer:can you plz give us the question

Step-by-step explanation:

plz mark brainliest i need 5 of them

If 200 kids went to the zoo and only 10 came back how many got lost?

Answers

Answer:

200- 10 = 190

so, 190 kids came back..

Step-by-step explanation:

brainliest plz

Answer: 190

Step-by-step explanation:

200-10=190 right? brainiest please

Which table shows a proportional relationship between x and y?
A.
x y
2 4
3 6
4 9
B.
x y
3 4
9 16
15 20
C.
x y
4 12
5 15
6 18
D.
x y
1 4
2 8
3 15

Answers

Answer:

c is the answer

Step-by-step explanation:

representation of the function f(x)=-2x2+8x-6

Answers

X-intercepts: (1,0), (3,0)
Y-intercepts: (-6,0)

Given the relation shown in the table below :

Answers

Answer:

domain: -7, -1, 0, 1

Range: -1, 0, 1, 2, 7

Step-by-step explanation:

I don't know the drop-down menu choices so I can't answer that one for you sorry :(

But I hope this helps :)

A store is having a 20% off sale on coats. What will the sale price be for a coat that originally cost $248

Answers

248*.20
49.60
248-49.60
$198.40 is the sale price
248 x 0.20= 49.60 off
Now take 248 - 49.60 = $198.40
The sale price is $198.40

Pam is baking cupcakes. The recipe calls for 4 cups of sugar, She already put in 3 cups. How many more cups does she need to put in?

(write the equation use "n" as your variable" ​

Answers

https://brainly.com/invite/3caaa23db4167cc1029ce1999a411bee?utm_source=invite&utm_medium=link&utm_campaign=bfp_parental_feed&utm_term=parent

Madeline invest $3000. At the end of each year she receives 10% interest on the total balance for that what. What is of the third year? Please explain step by step or show work to be marked =]

Answers

3000 x 1.1 = 3300

3300 x 1.1 = 3630

3630 x 1.1 = 3993

She will have $3993.

What is the mean of the frequency distribution?
33
Baseball bat length
f
27
2
28
4
29
3
31
5
16
30.3
30.7
29.4
29.6

Answers

Answer:

33

Step-by-step explanation:

12

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