Here is a list of numbers:

A biologist is studying the composition of birds on a lake and counts 61 ducks, 17 geese, 11 cranes, 15 swans, and 6 herons. Fro

Klio2033 [76]

Answer:

Expected counts: 55 ducks, 25 geese, 13 cranes, 11 swans, 6 heron

Observed counts:

61 ducks, 17 geese, 11 cranes, 15 swans, and 6 herons.

Step-by-step explanation:

There are 61+17+11+15+6 = 110 birds on the lake.

The expected counts are:

0.50*110 = 55 ducks

0.23*110 = 25 geese

0.12*110 = 13 cranes

0.10*110 = 11 swans

0.05*110 = 6 herons

What the biologist counted were the observed counts.

7 0

3 years ago

Solve the quadratic equation by completing the square: 6x²-11x-10=0

mart [117]

Step-by-step explanation:

<h2> 6x² - 11x - 10 =0</h2><h2>{use splitting middle term method} </h2><h2> -60x²</h2>

 | |

 -4. +15

<h2>there fore x = 2</h2>

7 0

3 years ago

The pizza has an area of 78.5 in². What is the minimum width of a placemat that can be placed underneath it so that the pizza do

xz_007 [3.2K]

Answer:

The minimum width of the placemat is 10 inches.

Step-by-step explanation:

Let suppose that placemat has a square form, whose width must be at least equal to the diameter of the pizza, so that pizza does not touch the table. Hence, the following relationship is obtained:

$w = D$

Where:

$w$ - Width of the placemat, measured in inches.

$D$ - Diameter of pizza, measured in inches.

The area of the pizza, measured in square inches, is determined by this formula:

$A = \frac{\pi}{4} \cdot D^{2}$

The diameter is cleared afterwards:

$D = \sqrt{\frac{4\cdot A}{\pi} }$

If $A = 78.5\,in^{2}$ and $\pi = 3.14$ , then:

$D = \sqrt{\frac{4\cdot (78.5\,in^{2})}{3.14} }$

$D = 10\,in$

The minimum width of the placemat is 10 inches.

4 0

4 years ago

Read 2 more answers

How do i divide 41 2/3 cups of flour into 4 7/12 cups

Hoochie [10]

We can do this from finding 2/3, and that equals 0.66_7 and 7/12 is 0.5833_ and we divide the whole thing. 41.66 and 4.5833 and we get 11

5 0

3 years ago

Simplify the expression and write out steps plz :) (4- root3)(root7+ root2)

dybincka [34]

You can do this with foil
F(which is the first term of both factors): 4*sqrt(7)
O(outside terms of both factors first and last) 4*sqrt(2)
I (Inside terms 2nd and 3rd) = - sqrt(3) sqrt(7) = - sqrt(21)
L (Last term in each of the factors) - sqrt(3)*sqrt(2) = - sqrt(6)

Combine terms: 4*sqrt(7) + 4*sqrt(2) - sqrt(21) - sqrt(6) <<<< answer.

7 0

4 years ago