15,000 blue trout were released into the Meherrin River for a scientific study. The function, f(x) = 15,000 (98)x , represents t

Answer:

The population is all the adults

Sample is "1046" adults selected for survey

Step-by-step explanation:

* Lets revise some definitions

- <u><em>Population is the complete collection of data that are being considered</em></u>

- Ex: The population may be "ALL people living in the US"

- <u><em>A sample is a sub-collection of members selected from a population</em></u>

- The size of a sample is always less than the size of the population from

  which it is taken

- Ex: The sample may be "some people living in the US"

* <em>Lets solve the problem</em>

- There is a survey of 1046 adults conducted by Bradley Corporation,

  subjects were asked how often they wash their hands when using a

  public restroom

- 70% of the respondents said "always."

* <em>We need to identify the sample and population</em>

- According to the definition above

# The population is all the adults

# Sample is "1046" adults selected for survey

 S<span>tart with 6 cats kill 6 rats in 6 minutes, so it takes 6 minutes for 1 cat to kill 1 rat 
1 cat kills 1 rat in 6 minutes 
now extend this rate to 50 minutes (* 8 1/3) 
1 cat kills 8 1/3 rats in 50 minutes and finally multiply by 12 to get the number of cats necessary to kill 100 rats in 50 minutes 
12 cats kill 100 in 50 minutes 
if 6 cats kill 6 rats in 6 minutes, then 
12 cats kill 12 rats in 6 minutes << double the number of cats>> 
now multiply time by 8 1/3 to get to 50 minutes, and therefore the number of rats killed multiplied by 8 1/3 
yep, these 12 cats will kill 100 rats in 50 minutes</span>

Answer:

  39

Step-by-step explanation:

Yield goes down 1 lb for each tree over 23 per acre, so the yield per tree as a function of x trees per acre is ...

  yield per tree = 55 -(x -23) = 78 -x . . . . . pounds of cherries

To get the yield per acre, we multiply the number of trees per acre by the yield per tree:

  lb/acre = (x tree/acre)((78 -x) lb/tree) = x(78 -x)

This is a quadratic function that opens downward and has zeros at x=0 and x=78. The vertex (maximum) is on the line of symmetry, halfway between the zeros. The yield per acre will be a maximum when ...

  x = (0 +78)/2 = 39 . . . . trees per acre

39 trees should be planted per acre to maximize yield per acre.

Answer:

Step-by-step explanation:

we know that

The surface area of the cone is equal to

where

r is the radius

l is the slant height

we have

----> the radius is half the diameter

substitute the values in the formula

(Half of  which is 0.25
x  = 0.625


-----------------------------------------------------------
An easier way to do it is to say 

1/8 = 0.125
  0.500  
+0.125
----------
  0.625