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Butoxors [25]
2 years ago
10

Yellowstone National Park has an area of about 2.22 million acres. The table shows the estimated park populations for several an

imals. Find the
population density in animals per acre for each animal. Round your answers to the nearest ten-thousandth.
Grizzly Mule Bighorn
Population 445 20,000 2400 260
Animal
FI
bear
deer
sheep
There are about
grizzly bear(s) per acre.
There are about elk per acre.
There are about
mule deer per acre.
There are about
bighorn sheep per acre.
Mathematics
1 answer:
snow_lady [41]2 years ago
6 0

Answer:

there are about 0.0002 grizzly bears

there are about 0.0090 elk

there about 0.0011 mule

there are about 0.0001 bighorn sheep.

Step-by-step explanation:

its the number of animals divided by the area of the  land.

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Match each pair of points to the equation of the line that is parallel to the line passing through the points.
Paraphin [41]

we know that

If two lines are parallel, then, their slopes are equal.

The formula to calculate the slope between two points is equal to


m=\frac{y2-y1}{x2-x1}


we will proceed to calculate the slope in each case, to determine the solution of the problem

<u>Case A)</u> Point B(5,2)\ C(7,-5)

Find the slope BC

Substitute the values in the formula

m=\frac{-5-2}{7-5}


m=\frac{-7}{2}


m=-3.5


so

The equation y=-3.5x-15 is parallel to the line passing through the points B(5,2)\ C(7,-5)

therefore

<u>the answer Part A) is</u>

B(5,2)\ C(7,-5) ------> y=-3.5x-15

<u>Case B)</u> Point D(11,6)\ E(5,9)

Find the slope DE

Substitute the values in the formula

m=\frac{9-6}{5-11}


m=\frac{3}{-6}


m=-0.5


so

The equation y=-0.5x-3 is parallel to the line passing through the points D(11,6)\ E(5,9)

therefore

<u>the answer Part B) is</u>

D(11,6)\ E(5,9) ------> y=-0.5x-3

<u>Case C)</u> Point F(-7,12)\ G(3,-8)

Find the slope FG

Substitute the values in the formula

m=\frac{-8-12}{3+7}  

m=\frac{-20}{10}


m=-2


so

Any linear equation with slope m=-2 will be parallel to the line passing through the points F(-7,12)\ G(3,-8)

<u>Case D)</u> Point H(4,4)\ I(8,9)

Find the slope HI

Substitute the values in the formula

m=\frac{9-4}{8-4}


m=\frac{5}{4}


m=1.25


so

The equation y=1.25x+4 is parallel to the line passing through the points H(4,4)\ I(8,9)

therefore

<u>the answer Part D) is</u>

H(4,4)\ I(8,9) ------> y=1.25x+4

<u>Case E)</u> Point J(7,2)\ K(-9,8)

Find the slope JK

Substitute the values in the formula

m=\frac{8-2}{-9-7}


m=\frac{6}{-16}


m=-0.375


so

Any linear equation with slope m=-0.375 will be parallel to the line passing through the points  J(7,2)\ K(-9,8)

<u>Case F)</u> Point L(5,-7)\ M(4,-12)

Find the slope LM

Substitute the values in the formula

m=\frac{-12+7}{4-5}


m=\frac{-5}{-1}


m=5


so

The equation y=5x+19 is parallel to the line passing through the points L(5,-7)\ M(4,-12)

therefore

<u>the answer Part F) is</u>

L(5,-7)\ M(4,-12) ------>  y=5x+19




8 0
2 years ago
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A whole number from 1 to 15 inclusive is picked at random.
Helen [10]

Answer:

<u></u>

  • <u>a) 3/7</u>
  • <u>b) 3/5</u>

Explanation:

The figure attached shows the <em>Venn diagram </em>for the given sets.

<em />

<em><u>a) What is the probability that the number chosen is a multiple of 3 given that it is a factor of 24?</u></em>

<em />

From the whole numbers 1 to 15, the multiples of 3 that are factors of 24 are in the intersection of the two sets: 3, 6, and 12.

There are a total of 7 multiples of 24, from 1 to 15.

Then, there are 3 multiples of 3 out of 7 factors of 24, and the probability that the number chosen is a multiple of 3 given that is a factor of 24 is:

  • 3/7

<em><u /></em>

<em><u>b) What is the probability that the number chosen is a factor of 24 given that it is a multiple of 3?</u></em>

The factors of 24 that are multiples of 3 are, again, 3, 6, and 12. Thus, 3 numbers.

The multiples of 3 are 3, 6, 9, 12, and 15: 5 numbers.

Then, the probability that the number chosen is a factor of 24 given that is a multiple of 3 is:

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If 5t = 3p what is the ratio of t to p
ratelena [41]
All you have to do is put it in fraction form, this is the answer: 5/t=3/p
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Four circles, each with a radius of 2 inches, are removed from a square. What is the remaining area of the square? (16 – 4π) in.
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Because each circle has radius = 2 in, each side of the square is 4*2 = 8 in.
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The area of one circle is π*2^2 = 4π in^2
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2 years ago
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What is 0.623 divided by 0.07
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89 hope that helps! ;)
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