99 % of the trees in our neighborhood are eucalyptus trees. The town planning commission wants to get rid of some of these trees because they spread too quickly. However, the people in my neighborhood like the trees. The commission argues that their new eucalyptus tree removal plan will cut down so few eucalyptus trees that 98% of the trees in our neighborhood will be eucalyptus trees. If the plan only involves removing eucalyptus trees, what percent of the existing trees in my neighborhood would the plan remove

Answers

Answer 1

Answer:

50%

Step-by-step explanation:

Let the total number of trees be T and suppose that this is made up of eucalyptus trees E and other kinds of trees, O.

Then E+O=T, and since 99% of the trees are eucalyptus trees, EE+O=0.99.

Therefore

0.99E+0.99O=E

0.01E=0.99O

E=99O.

Suppose we reduce the number of eucalyptus trees by some amount x and that the remaining number of eucalyptus trees are now 98% of the total trees.

Then we would have E−x(E−x)+O=0.98.

Therefore,

0.02(E−x)=0.98O

0.02E−0.02x=0.98O

0.02x=0.02E−0.98O

x=E−50(0.98)O

x=E−49O

x=E−49(E99)

x=5099E≈0.505050...×E.

So we end up removing a little over half of the eucalyptus trees. EDIT: Forgot to mention - removing 50.505050...% of the eucalyptus trees means that we are removing 0.50505050....×0.99T which is 0.5T or half the trees in the neighborhood.


Related Questions

Lena has two coupons for pants.
Coupon A: 45% off of $47 pants
Coupon B: $25 rebate on $47 pants
Choose the coupon that gives the lower price.

Answers

Answer:

coupon A

Step-by-step explanation:

coupon A 45%÷100=0.45 so 0.45×47= gives 21.15. coupon B 25÷2=23.50 so that the solution the lower price is coupon A $21.15

Why is the average approaching 3.5?

Answers

Because since the mean of 1-6 is 3.5, it will eventually stabilize at that point.

There are no remaining rolls, and the average approaching 3.5 is simply the current average of 3.51.

What is a mean?

It is the average value of the set given.

It is calculated as:

Mean = Sum of all the values of the set given / Number of values in the set

We have,

To find the average approaching 3.5, we need to use the concept of the mean or expected value.

The expected value of a random variable is the long-run average value that we would expect to get if we repeat an experiment many times.

In this case, we can consider each roll of a die as an experiment, and the value of the die as the random variable.

Assuming that the die is fair and has six equally likely outcomes, each with a value between 1 and 6, the expected value of the die is:

E(X) = (1 + 2 + 3 + 4 + 5 + 6)/6 = 3.5

Therefore, if we roll the die many times, we would expect the long-run average value to be 3.5.

Now, if we have rolled the die 3200 times and the average so far is 3.51, we can calculate the sum of all the values rolled so far as:

Sum = (Average so far) x (Number of rolls) = 3.51 x 3200 = 11232

To find the average approaching 3.5, we need to calculate the average of the remaining rolls. Let's call the number of remaining rolls "n". Then we have:

Average approaching 3.5 = (Sum of remaining rolls) / n

We know that the total number of rolls is 3200, so the number of remaining rolls is:

n = 3200 - (number of rolls already rolled)

n = 3200 - 3200 = 0

Therefore,

There are no remaining rolls, and the average approaching 3.5 is simply the current average of 3.51.

Learn more about mean here:

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Help with this please!!

Answers

Answer:

the first answer

Step-by-step explanation:

well first ofc u have to graph both equations to be able to compare them and if u don't have a graphing calculator just search up Desmos graphing calculator it will help A LOT

simplify 3+4(y-7)+5y​

Answers

Answer:

9y-25

Step-by-step explanation:

Answer:

9y-25

Step-by-step explanation:

Math

if ur good at graphs come here.

Answers

Answer:

Believe its D

Step-by-step explanation:

Answer:

(-6,-12) let me know if wrong

Step-by-step explanation:

Mark me brainliest plz

Convert (4, 3π/2) to rectangular form.
A) (0,4)
B) (0, -4)
C) (-4,0)
D) (4,0)

Answers

Answer:

(0, -4)

Step-by-step explanation:

The rectangular form is expressed as;

x = rcos theta

y = rsin theta

Given the coordinate  (4, 3π/2)

r = 4

theta = 3π/2

Substitute

x = 4cos3π/2

x = 4cos270

x = 4(0)

x = 0

y= 4sin3π/2

y = 4sin270

y = 4(-1)

y = -4

Hence the required coordinate is (0, -4)

Can someone plz help me plz I beg u plz

Answers

Answer:

A.... X=3

Step-by-step explanation:

The answer is 3
X = 3 cuz 3x3 is 9 which would be equal to the other side when you add it with the other 2 blocks

PLSSSSS HELPPPPP REWARD BRAINLEISTTT

Answers

ANSWER:

number 1 is D, it moves to the right 4 times

number 2 is B, its a vertical stretch of 2

9. The quotient of n and -4 is 5. What is the
value of n?

Answers

Answer:

n=-20

Step-by-step explanation:

Answer:

n = -20

Step-by-step explanation:

n/-4 = 5

n/-4 (-4) = 5(-4)

n = -20

-20/-4 = 5

Three boys were playing balls. Ben's ball bounced eight more times than Menard's . Menard's ball bounced half as many times as Diego's. Diego's ball bounced eight times. How many times did Ben's ball bounced?

Answers

Answer:

12 bounce

Step-by-step explanation:

Let :

Number of Menard's bounce = x

Ben's bounce = x + 8

Diego's bounce = 2x

If Diego's bounce = 8

Then ;

2x = 8

x = 8/2

x = 4

Ben's bounce = x + 8

Ben's bounce = 4 + 8 = 12

Norma needs to find the sum of the fractions below. 3/8 +5/6 Norma starts by multiplying the first fraction by 3/3.
By which number should she multiply the second fraction?
A.8/8
B.4/4
c.3/3
d.undefined

Answers

Answer:

Its A

Step-by-step explanation:

Because if you add 3+5 that is 8 so 8/8

Ali runs 6 miles in 55 minutes. At the same rate, how many miles would he run in 44 minutes?

Answers

Answer:

4

Step-by-step explanation:

Correct answer: in 44 minutes, he would run 4.8 miles

The net of a solid figure is shown below:

The net of a solid figure is shown below:
Which calculation will give the total surface area of the solid figure?


A) 3 x 6 x 6 square inches
B) 6 x 3 x 3 x 3 square inches
C) 3 x 6 x 6 x 6 square inches
D) 6 x 3 x 3 square inches

Answers

Answer:

D, 6 x 3 x 3

Step-by-step explanation:

One area of a square is 3 x 3 there are 6 squares so we multiply by 6 too.

HELPPPPPPPPPPPP THIS IS A MEGA TEST Felicia pours 3/4 of a 2 1/2-liter bottle of chlorine solution into a swimming pool. Then, she measures out the liter of the remaining solution to use to clean the pool filter. How much chlorine solution is left in the bottle?

Answers

Answer:

1/4 L

Step-by-step explanation:

2 1/2=10/4  10/4*3/4=30/16= 1 7/8

1 7/8=15/8        10/4*2=20/8          20/8-15/8=5/8

5/8-3/8=2/8 or 1/4 L

Answer: 1/4 L

In bottle 1/4 of chlorine solution is left in bottle.

What is an expression?

Expression in math is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that;

Felicia pours 3/4 of a 2 1/2-liter bottle of chlorine solution into a swimming pool.

And, then she measures out 3/8 liters of the remaining solution to use to clean the pool filter.

Now,

Chlorine solution in bottle = 2 1/2 × ( 1 - 3/4 ) - 3/8

                                        = 5 / 2 × 1/4 - 3/8

                                        = 5 / 8 - 2 / 8

                                        = 1 / 4

Thus, In bottle 1/4 of chlorine solution is left in bottle.

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The complete question is this;

Felicia pours 3/4 of a 2 1/2-liter bottle of chlorine solution into a swimming pool then she measures out 3/8 liters of the remaining solution to use to clean the pool filter how much chlorine solution is left in the bottle?

Find the sum of the first 8 terms of the following sequence. Round to the nearest hundredth if necessary. 20,40,80,...

Answers

Answer:

5100

Step-by-step explanation:

the geometric sequence is

f(n) = 20(2)^(n-1)

add up the first 8 to get

PLEASE NO LINKS thank you :)

Answers

Answer:

D

Step-by-step explanation:

You sold your friend a raffle ticket for $1. If his ticket is selected from the 1000 sold, he will win
$500. What is the expected value of his net gain?
0 -$0.10
-$0.99
0 -$0.50
0 $0.05

Answers

They are expected to win back on average 50 cents back, which is a bad investment.

What is the probability of rolling a 6 and then a 7 on a number cube?

NO LINKS PLEASE!​

Answers

Answer:

the probability of rolling 6 is 16 or 16.7%.

the probability of rolling 7 is 0.

Step-by-step explanation:

7 is 0 because its impossible to roll a 7 on one number cube.

All dimensions of a cylinder are multiplied by 1.5. Which statement is true?

A. The total surface area is multiplied by 3.375.
The volume is multiplied by 2.25.

B. The total surface area is multiplied by 2.25.
The volume is multiplied by 3.375.

C. The total surface area is multiplied by 3.
The volume is multiplied by 4.5.

D. The total surface area is multiplied by 4.5.
The volume is multiplied by 3.

Answers

Answer:

The true statement is;

B. The total surface area is multiplied by 2.25

The volume is multiplied by 3.375

Step-by-step explanation:

By scale drawing proportionality, we have;

The amount by which all the dimensions of the cylinder are multiplied to create an image of the cylinder = 1.5

∴ The scale factor between the original cylinder and the image of the cylinder, S.F. = 1.5

By rule, we have;

The area factor of the surface area = S.F.² = 1.5² = 2.25

Therefore;

The total surface area of the original cylinder is multiplied by 2.25 to get the total surface area of the image of the cylinder

By rule, we have;

The volume factor = S.F.³ = 1.5³ = 3.375

Therefore;

The volume of the original cylinder is multiplied by 3.375 to find the volume of the image of the cylinder.

Answer:

B

Step-by-step explanation:

Which of the following are solutions to the equation below?
Check all that apply.
(3x - 5)2 = 19

Answers

Answer:

Take the square root of each side of the equation to set up the solution for

x

(

3

x

5

)

2

1

2

=

±

19

Remove the perfect root factor

3

x

5

under the radical to solve for

x

.

3

x

5

=

±

19

The complete solution is the result of both the positive and negative portions of the solution.

Tap for more steps...

x

=

19

3

+

5

3

,

19

3

+

5

3

The result can be shown in multiple forms.

Exact Form:

x

=

19

3

+

5

3

,

19

3

+

5

3

Decimal Form:

x

=

3.11963298

,

0.21370035

The solutions of the of the equation are,

⇒ x = 3.12

⇒ x = 0.21

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The expression is,

⇒ (3x - 5)² = 19

Now,

We can simplify the expression for the solutions as;

⇒ (3x - 5)² = 19

Take square root both side,

⇒ √(3x - 5)² = √19

⇒ (3x - 5) = √19

Add 5 both side,

⇒ 3x - 5 + 5 = √19 + 5

⇒ 3x = √19 + 5

⇒ 3x = ± 4.36 + 5

⇒ 3x = 4.56 + 5

⇒ 3x = 9.36

Divide by 3;

⇒ x = 9.36 / 3

⇒ x = 3.12

And, 3x = - 4.56 + 5

3x = 0.64

x = 0.64/3

x = 0.21

Thus, The solutions of the of the equation are,

⇒ x = 3.12

⇒ x = 0.21

Learn more about the mathematical expression visit:

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What is the probability of spinning an even number?

Answers

Answer:

3/5

Step-by-step explanation:

there are 6 even numbers and 4 odd so 10 in total which is 6/10 and that simplified is 3/5 PLS give me brainliest i beg

Use elimination/linear combination to solve the following.
please help

Answers

Answer:

Step-by-step explanation:

3x + 4y = 17

5x - 4y = 7

you can thus cancel out 4y

Hence

8x = 24

Hence x = 3

Substituting’

3(3) + 4y = 17

9 + 4y = 17

Hence 17 - 9/4

= y = 2

Hope this helps

what is the mean of 3 6 11 7 4

Answers

6.2 is the correct answer!3 + 6 + 11 + 7 + 4 = 3131 ÷ 5 = 6.2

Can someone help me out my grads are bad

Answers

Answer:

50 m^2

Step-by-step explanation:

3cm = 5 m

6 cm = 10 m

5 x 10 = 50 m^2

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

50 [tex]m^{2}[/tex]

Step-by-step explanation:

3cm = 5m

6cm = 10m

5x10 = 50

Find the circumference of the circle to the nearest hundredth
11cm

Answers

Question: Find the circumference of the circle to the nearest hundredth

d = 11cm

Answer:

34.54 cm

Step-by-step explanation:

Applying,

P = πd...................... Equation 1

Where P = Circumference of perimeter of the circle, d = diameter of the circle, π = pie

From the question

Given: d = 11 cm

Constant: π = 3.14

Substitute these values into equation 1

P = (3.14×11)

P = 34.54 cm

which of the following tables does NOT represent a function ? (i can’t get this wrong please help) (15 points)

Answers

Answer:

C

Step-by-step explanation:

the answer is c because there is more then one y value for 5

Find the area of the given regular polygon
Round your answer to the nearest tenth, if necessary.
A. 221.7
B. 665.1
C. 280.6
D. 2660.4

Answers

Answer:

A.221.7

Step-by-step explanation:

god bless

[tex]a[/tex]

Identify who is correct
Describe the mistake that was made

Answers

Jack is wrong because he used the distributive property wrong. On the top equation, you see 2(4k - 3). The 2 multiplies into the (), so basically you have

2 x 4k - 2 x 3

which gives you

8k - 6

Answer:

Taniyah

Step-by-step explanation:

Taniyah is correct because you need to:

diistribute : 8k - 6 - 6k = 14

combine like terms : 2k - 6 = 14

add 6 to both sides : 2k - 6 + 6 = 14 + 6

simplify : 2k = 20

divide both sides by the same factor : 2k/2 = 20/2

simplify : k = 10

3 feet
4 feet
inches
6 inches
Is Inches
What is the volume, in cubic feet, of the
cement used to make the steps? Show or
explain all of the steps you used to determine
your answer.

Answers

Answer: 12 for the main square

Step-by-step explanation:

take the 4 and the 3 and multiply it, makes 12. you see how each stair is 6 inches and there is 3 full steps which makes it 1.50 feet. 12 x 1.50 is 18. that makes your main square. I'm sorry but I cant really help you with the steps but that was also confusing to me.


Asif and Ben share $2100 in the ratio Asif: Ben = 3:7.
Work out how much Asif receives.
$2100

Answers

Answer:

$630 for Asif

Step-by-step explanation:

Asif gets 3/10ths

So

2100 x 3/10 =  $630 for Asif

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