The toco toucan, the largest member of the toucan family, possesses the largest beak relative to body size of all birds. This exaggerated feature has received various interpretations, such as being a refined adaptation for feeding. However, the large surface area may also be an important mechanism for radiating heat (and hence cooling the bird) as outdoor temperature increases. Here are data for beak heat loss, as a percent of total body heat loss, at various temperatures in degrees Celsius:

Temperature (degrees Celsius) 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
Percent heat loss from beak 35 36 38 28 41 43 55 46 39 54 45 58 60 56 62 67
a. The equation of the least-squares regression line for predicting beak heat loss, as a percent of total body heat loss from all sources, from temperature is: _____ (Use decimal notation. Give your answer to four decimal places.)

b. Use the equation to predict (
±
0.01) beak heat loss, as a percent of total body heat loss from all sources, at a temperature of 25 degrees Celsius.

c. What percent (
±
0.01) of the variation in beak heat loss is explained by the straight-line relationship with temperature?

d. Find the correlation r (
±
0.001) between beak heat loss and temperature.

Answer:

[tex]y=-\,(x+1)^2+3[/tex]

Step-by-step explanation:

Notice that the vertex of the parabola is at (-1, 3), so we can start the expression of the quadratic in vertex form as:

[tex]y=a\,(x--1)^2+3\\y = a\,(x+1)^2+3[/tex]

we can now find the coefficient "a" by using another point the parabola goes through, like for example (0,2):

[tex]y = a\,(x+1)^2+3\\2=a\,(0+1)^2+3\\2=a+3\\a=2-3\\a=-1[/tex]

So the final expression for the parabola in vertex form is:

[tex]y=-\,(x+1)^2+3[/tex]

Answer:

probably 5.00

Step-by-step explanation:

Answer:

The probability that the vaccine is not effective in more than 1 of the 20 individuals is equal to:

P = 1 - P(1) - P(0)

Where:

P(1) = probability that the vaccine is not effective in one individual

P(0) = probability that the vaccine is not effective in 0 individuals.

The probability that the vaccine is effective is 0.95

Then the probability that the vaccine is not effective is 0.05.

Then to calculate P(1), suppose that the vaccine is not effective in the first case and then is effective 19 times, this is:

p(1) = (0.05^1)*(0.95^19)

But this only for one case, we have 20 possible permutations (the vaccine is not effective in the first case, the second case, third case, etc)

Then the actual probability is:

P(1) = 20*((0.05^1)*(0.95^19)) = 0.377

And P(0) is easy to compute:

P(0) = (0.05^0)*(0.95^20) = 0.358

And here we have only one possible permutation, so we do not worry about that.

Then P = 1 - P(1) - P(0) = 1 - 0.377 - 0.358 = 0.265

This means that the probability that the vaccine is not effective in more than one individual is of 0.265 (or 26.5% in percentage form)

Answer:

26,676population

Step-by-step explanation:

Population in 2010 = 24,700

If it grows yearly by 1%, increment per year is expressed as:

1% of 24,700

= 1/100×24700

= 247 populations

After 8years, population increase will be 247×8 = 1976 population

Statesville population in 2018 will be expressed as;

Population in 2010+increase after 8years

= 24700+1976

= 26,676 population

Hence statesville population in 2018 will be 26,676population

Answer:

1 :)

Step-by-step explanation:

Answer:

heres a helpful stragity for your pos and neg numbers

-   -

 +   it's aupposed to be like a smiley face so lets say you had to solve -7+3 then you'd cover up the negitive and positive sign, so the answer would be a negitive number. It's a little stategy. And you should answer the question in the brackets then that answer times whatever you got.  

Answer:

3.6 x 10 is 36

3.6 x 100 is 360 l

3.6 x 1000 is 3600

At age 77, Eastman suffered from chronic pain due to a spinal condition. On March 14, 1932, after a reportedly jovial meeting with friends, he excused himself to write a brief letter before he 4535

Answer:

y=-8

Step-by-step explanation:

First find the slope which is rise over run which equals (y2-y1)/(x2-x1)

(-8-(-8))/(9-(-2))

(-8+8)/(9+2)

0/11

slope = 0

Now you have the slope of 0. You can plug in one of the given point (x,y) to find b

-8=0(9)+b

-8=b

Combine everything

y=0x-8

y=-8

Answer:

8units

Step-by-step explanation:

Given parameters:

  Area of triangle  = 32units²

   Base  = 8units

Unknown:

height x of the triangle = ?

Solution:

The area of a triangle is given as;

    Area = [tex]\frac{1}{2}[/tex] x base x height

 Input the parameters and solve for the height;

     32  = [tex]\frac{1}{2}[/tex] x 8 x h

     32 = 4h

      h = 8

height of the triangle is 8units

Answer:

Step-by-step explanation:

M = -3

y= mx +b

m stands for slope and -3 is in that position so -3 is your slope

Answer:

Step-by-step explanation:

The question is asking us to find the slope of the line y = -3x + 3.

Note that the equation is written in slope-intercept form:

y = mx + b

Where:

For this problem the coefficient of x is -3, and the constant is 3.

Therefore, the slope is -3.

We know that :

The sum of two angles that are complementary = 90°

Smaller angle = x

Larger angle = 2x

We can make the formula as

= 2x + x = 90°

= 3x = 90°

= x = 90 ÷ 3

= x = 30

The smaller angle = x = 30°

The larger angle = 2x = 30 × 2 = 60°

Therefore , the measure of each of the angles are 30° and 60° .

Answer:

Congruent ASA

Step-by-step explanation:

We are given 2 angles and 1 side length. In order, first there is the angle, then side length, then another angle. The ASA postulate says that the triangle will be congruent.

Range is y so we set -5x = whatever number you pick from the range values listed, so

-5x = -5  making x=1

-5x = 0 making x=0

-5x = 10 making x=-2

-5x = 15  making x=-3

The domain is {1,0,-2,-3}

Answer:

50%

its very likely tbh. I did that like in 5th grade, im probably wrong.

Answer:

See explanation

Step-by-step explanation:

Given

[tex]Needed = 19000[/tex]

Required

Support the jeweler's conclusion

From the question, we have that:

[tex]Boxes = 48[/tex]

[tex]Bead = 400[/tex] per box

So, he bought a total of:

[tex]Total = 48 * 400[/tex]

[tex]Total = 19200[/tex]

Since, he needed exactly 19000 and he has 192000, we can conclude that he has enough beads

Answer:

392984

Step-by-step explanation:

Answer:

60%

Step-by-step explanation:

They killed quite a bit and a lot were left.

Answer:

Angle 1 and Angle 7

Step-by-step explanation:

Angle 1 and angle 7 are supplementary angles. Angle 3 and angle 7 are corresponding angles and angle 1 + angle 3 = 180

Answer:

Step-by-step explanation:

supplementary angles adds up to 180

angle 1 and angle 7 is an example of supplementary angles.

other options do not apply.

Answer:

K What's the problem?

Step-by-step explanation:

Answer:

The density of oxygen in standard form is 0.001429 grams per cubic centimeter.

Answer:

0, 5/7, and -10 are RATIONAL numbers ⇒ 1, 2, 4

Step-by-step explanation:

Rational number are the numbers can be written in the form of the fraction [tex]\frac{a}{b}[/tex] , b ≠ 0

Example:

All the numbers above are rational numbers

Let us find the rational numbers in our question

∵ 0 can be written as [tex]\frac{0}{1}[/tex]

∴ 0 is a rational number

∵ [tex]\frac{5}{7}[/tex] is a fraction

∴ [tex]\frac{5}{7}[/tex] is a rational number

∵ 3.6820350285........ can not be written in the form of the fraction

   because we do not know its end (it is an approximated number)

∴ 3.6820350285........ is not a rational number

∵ -10 can be written as [tex]-\frac{10}{1}[/tex]

∴ -10 is a rational number

∴ 0, 5/7, and -10 are RATIONAL numbers

Answer: The answer would be - 7/5 or (-0.46)

Plug in the numbers that each letter equals. So you get 6(4/9)(1/2) - 3(3/5). Then you just simplify.

Answer:

90

Step-by-step explanation:

the total interior angles of a triangle measure to 180 degrees.

55 + 35 = 90

180-90=90