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solmaris [256]
2 years ago
5

You have been observing a population of swallowtail butterflies for the last 10 years. the size of the population has varied as

follows: 54, 11, 89, 17, 66, 58, 5, 9, 99, and 23. what is the effective population size of this population of butterflies (give your answer as an integer)?
Mathematics
1 answer:
EastWind [94]2 years ago
4 0
The answer to this questions is =  17 
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One factor of the polynomial 2x^3 - 3x^2 - 3x + 2 is ( x - 2 ). Which expression represents the other factor, or factors, of the
Georgia [21]

Answer:

Option (D)

Step-by-step explanation:

Given polynomial is,

2x³ - 3x² - 3x + 2

If (x - 2) is the factor of the given polynomial,

By synthetic division we can get the other factor.

2 |  2     -3       -3       2    

 

    <u>         4         2      -2          </u>

     2      1         -1        0

Therefore, other factor of the given polynomial is (2x² + x - 1)

Now (2x² + x - 1) = 2x² + 2x - x - 1

                           = 2x(x + 1) -1(x + 1)

                           = (2x - 1)(x + 1)

Therefore, factors of the given polynomial other than (x - 2) are (2x - 1) and (x + 1)

Option (D) will be the answer.

4 0
2 years ago
The area of a small pond is 78.5 yds. What is the diameter of the pond?
Zolol [24]

Answer:

Diameter of pound = 10 yd

Step-by-step explanation:

Given area of circular pond = 78.5 square yd

To find the diameter of the pond.

Solution:

The pond being circular in shape, the area of pond can be given as:

⇒ \pi\ r^2

where r represents radius of the pond.

Thus, we have:

⇒ \pi\ r^2=78.5

Using \pi=3.14

⇒ 3.14r^2=78.5

Solving for r

Dividing both sides by 3.14

⇒ \frac{3.14r^2}{3.14}=\frac{78.5}{3.14}

⇒ r^2=25

Taking square root both sides.

⇒ \sqrt{r^2}=\sqrt{25}

⇒ r=\pm5

So, radius = 5 yd, as distances are always positive.

Diameter = 2\times radius=2\times 5\ yd= 10\ yd

Thus, diameter of pound = 10 yd

7 0
2 years ago
Susan's property is assessed at $97,500. The property tax rate in her city is 3.05%.
Hoochie [10]
In this item, I think we are asked to determine the amount that Susan should pay for the tax of her assets. To answer this item, we simply have to multiply the given property value with the decimal equivalent of the percentage given.
                               property tax = ($97,500) x (0.0305) 
                               property tax = $2973.75
5 0
2 years ago
A community group sells 2,000 tickets for its raffle. The grand prize is a car. Neil and 9 of his friends buy 10 tickets each. W
NeTakaya

Answer:

1/100

Step-by-step explanation:

It's because he and his 9 friends so 10 people each by 10 tickets. Ten times ten is 100 so it is one out of one-hundred.

3 0
1 year ago
Find the value of 200/33 up to one place decimal.​
Sergio [31]

Answer:

6.1

Step-by-step explanation:

6.06060606061

and you round up making it 6.1

7 0
1 year ago
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