Game wardens use experiments to help determine the number of deer in the state of North Carolina. Suppose 120 deer are caught, tagged, and released into the wild. A month later, 800 deer are caught with 16 found to have tags. Using this information, estimate the number of deer in North Carolina. A. 50
B. 500
C. 600
D. 6,000

Answers

Answer 1
Answer: Given;
120 deer tagged
800 deer caught
16 out of 800 deer caught have tags

This is a proportion problem

a/b = c/d where ac = bd

16/800 = 120/d
16d = 800*120
16d = 96,000
d = 96,000 / 16
d = 6,000

The estimate number of deer in North Carolina is D. 6,000


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Two weather tracking stations are on the equator 165 miles apart. A weather balloon is located on a bearing of N 40°E from the western station and on a bearing of N 22°E from the eastern station. How far is the balloon from the western station?

Answers

The distance from balloon to the western station is 495 miles.

Explanation:

The distance between two weather stations are 165 miles.

The angle of the regular triangle bearing from the western station is given by

90° - 40° = 50°

The angle of the regular triangle bearing from the eastern station is given by

90° + 22° = 112°

The angle of the balloon is given by

180° - 50° - 112° = 18°

Now, to find the distance of the balloon from the western station, let us use the law of sines formula,

(a)/(sin a) = (b)/(sin b)

Let us substitute the values.

Where a=x, sin a= sin 112 and b=165, sin b = sin 18

Thus, we have,

(x)/(sin 112) =(165)/(sin 18)

Multiplying both sides of the equation by sin 112, we get,

x=sin 112((165)/(sin 18) )

Simplifying, we have,

x=0.9272(533.98)\nx=495

Thus, the distance from balloon to the western station is 495 miles.

Decide whether the function is a polynomial function. If so, write it in standard form and state its degree, type, and leading coefficient.h(x) = 19x4 − 419x2 + 18:

Answers

h(x)=19x^4+0x^3+(-419)x^2+0x+18 is a polynomial, leading coefficent 19.
(standard form: is what I wrote even near that? :)) )

The amounts (in ounces) of juice in eight randomly selected juice bottles are: 15.4, 15.8, 15.4, 15.1, 15.8, 15.9, 15.8, 15.7 When constructing a 98% confidence interval for the mean amount of juice in all such bottles the Degree of Freedom used in this construction is

Answers

The answer is: " 7 " .

_______________________________________________________

Explanation:

_______________________________________________________

degrees of freedom (df) = n - 1 ;


n= sample size =8 ;


n - 1= 8 - 1 =7 .

_______________________________________________________

The answer is: " 7 " .

_______________________________________________________

A bill of $424 was paid with $5 bills and $2 bills. A total of 128 bills were used. Howmany of them were fives?

Answers

Answer: 56

Step-by-step explanation:

Let the number of $5 be x

Let the number of $2 be y.

Based on the information given, we can form an equation as:

x + y = 128 ........ i

5x + 2y = 424 ....... ii

Multiply equation i by 2

Multiply equation ii by 1

2x + 2y = 256 ...... iii

5x + 2y = 424 ....... iv

Subtract iii from iv

3x = 168

x = 168/3

x = 56.

Therefore, there were 56 $5 bills.

Which of the following points are on the line given by the equation y=2x?A.(16,8)
B.(1,3)
C.(4,6)
D.(3,6)
E.(4,2)
F.(5,10

Answers

The following points that are on the line given by the equation y=2x are Options (D). (3,6) and (F). (5,10).

What is a straight line ?

A straight line is a line passing through the x-y plane that has equal intercepts with respect to the x axis and the y-axis. The slope of a straight line is always equal. The straight line is also satisfied by the coordinates points in the x and y axis respectively.

How to identify the points on the given line y = 2x ?

To identify the points satisfied by any given equation, we have to replace the points given in the following equation.

Taking first point in option (A) , (16,8) , we have y = 8 and x = 16 which does not satisfy the equation y = 2x .

Taking second point in option (B) , (1,3) , we have y = 3 and x = 1 which does not satisfy the equation y = 2x .

Now from the following options, checking points in Option (D) where x = 3 and y = 6 which satisfies the equation y = 2x .

Also checking the points in Option (F) where x = 5 and y = 10 which satisfies the equation y = 2x .

The following points that are on the line given by the equation y=2x are Option(D). (3,6) and Option(F). (5,10) .

To learn more about points in a straight line, refer -

brainly.com/question/2555347

#SPJ2

Answer: it’s (5,10) and (3,6)

Which are acceptable names for the line? Choose all answers that are correct. A. WL. B. Line LR. C. Line R. D.Line RW

Answers

The acceptable names for the line are WL and line R. The answers to your questions are A and C. I hope that this is the answer that you were looking for and it has helped you.