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coldgirl [10]
3 years ago
14

What equation best models this data?(use y to represent the population of rabbits and t to represent the year, assuming that 201

0 is t=0

Mathematics
1 answer:
liraira [26]3 years ago
4 0

If we see the data closely, a pattern emerges. The pattern is that the ratio of the population of every consecutive year to the present year is 1.6

Let us check it using a couple of examples.

The rabbit population in the year 2010 is 50. The population increases to 80 the next year (2011). Now, \frac{80}{50}=1.6

Likewise, the rabbit population in the year 2011 is 80. The population increases to 128 the next year (2012). Again, \frac{128}{80}=1.6

We can verify the same ratio with all the data provided.

Thus, we know that the population in any given year is 1.6 times the population of the previous year. This is a classic case of a compounding problem. We know that the formula for compounding is as:

F=P\times r^n

Where F is the future value of the rabbit population in any given year

P is the rabbit population in the year "0" (that is the starting year 2010) and that is 50 in this question. (please note that there is just one starting year).

r is the ratio multiple with which the rabbit population increases each consecutive year.

n is the nth year from the start.

Let us take an example for the better understanding of the working of this formula.

Let us take the year 2014. This is the 4th year

So, the rabbit population in 2014 should be:

F_{2014} =50\times(1.6)^4\approx328

This is exactly what we get from the table too.

Thus, F=P\times r^n aptly represents the formula that dictates the rabbit population in the present question.

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2/3q = 1/2 what does q equal as a decimal
goldfiish [28.3K]
Is that 2/3 of q or 2 over 3q?
for 2/3 of q. q=1/2 x 3/2 =3/4=0.75

for 2 over 3q q = 2 x 2/3= 4/3=1.3333
3 0
3 years ago
Alice is baking a cake. She doesn’t intend to eat it, but tells you half of what you find is yours. She tells the same thing to
tankabanditka [31]

Answer: a) P = 0.5, b) P = 0.07

Step-by-step explanation:

Hi!

Lets call X₁ the time at which you arrive, and X₂ the time at which Bob arrives. Both are random variables with uniform density in the interval [0, 60] (in minutes). Their joint distribuition is uniform over the square in the image, with value P = 1/(60*60) = 1/3600.

a) For you to get more cake than Bob, you should arrive earlier. This event is A = { X₁ < X₂ }, the shaded triangle in the figure.The area of this event (set) is half the total area of the square, so P(A) = 0.5.

It makes sense, beacuse its equally probable for you or Bob to arrive earlier, as both have uniform density over the time interval.

b) In this case you arrive later than Bob, but less than 5 minutes later. So the event is B = { X₂ < X₁ < (X₂ + 5) } . This is the gray shaded area in b) part of the image. Its area is the difference two triangles (half square - blue triangle), then the probability is:

P(B) = 0.5 - \frac{(0.5*55^2)}{3600} =0.07

7 0
4 years ago
HELPPP????
kkurt [141]

Answer:

How are this equation and the equation of the line related? They both use the same variable to put it together. What does this relationship mean about any triangle created using this line? They are both put together so it would fit on the graph.

Step-by-step explanation:

The graph shows 1:2, where it's at. And they fit well because the numbers are next to each other. On the y axis, it's 2, right? And on the x axis it's 1, right? So it's 1:2 if that's what you're asking?

6 0
3 years ago
Read 2 more answers
Use linear regression to find a
Inessa [10]

A function that fits the following points (0,5), (2,-13) is y = 9x + 5

<h3>Equation of a line</h3>

The equation of a line in slope-intercept form is expressed as;

y =mx +b

where;

m is the slope

b is the intercept

Given the following coordinates (0,5), (2,-13)

Slope = -13-5/2-0
Slope = -18/-2

Slope = 9

Since the y-intercept is b = 5, hence the equation of the line will be y = 9x + 5

Learn more on linear regression here; brainly.com/question/25987747

#SPJ1

6 0
2 years ago
Find the area.<br> 8 in<br> 19 in<br> 13 in<br> 1976 in²<br> 205 in²<br> 128 in²<br> 104 in²
sveticcg [70]

Total area = 104+24 = 128 sq.in ,  Option C is the right answer.

The missing figure is attached with the answer.

<h3>What is Area ?</h3>

The space occupied by a two dimensional figure is called Area.

The figure given in the question can be divided into two figure

A rectangle of 8 * 13 inch

and a triangle of 8 * 6 inch

The area of a rectangle is given by

Length * Breadth

8 * 13

= 104 sq.inch

The area of the triangle is given by

(1/2) * base * height

= (1/2) * 8 * 6

= 24 sq.inch

Total area = 104+24 = 128 sq.in

Therefore Option C is the right answer.

To know more about Area

brainly.com/question/27683633

#SPJ1

6 0
2 years ago
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