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Ten hunters are waiting for ducks to fly by. When a flock of ducks flies overhead, the hunters fire at the same time, but each c

Lerok [7]

Answer:

The expected number of ducks that escape unhurt is:

5

Step-by-step explanation:

First the process is binomial process. Having said this, we have 10 hunters, and 10 ducks flying overhead while the hunter take their shot at the same time.

By expected value, we mean average or mean. And the mean of a binomial distribution is:

Mean => E(x) = np.

We must also know that there is only two probability possibilities:

1. The hunter hits the duck (p)

2. The hunter misses the duck (1-p) = q.

Hence;

p = 1/2, and (1-p) = 1/2.

Therefore;

E(x) = np; where n is the total number of hunter.

E(x) = 10*(1/2) = 5

The expected number of ducks that escape unhurt is 5

3 0

4 years ago

Ellie want to buy new shoes that is in sale for $80. She saved $60. How much more money does she need

mel-nik [20]

Answer:

$20

Step-by-step explanation:

New shoes = $80

What Ellie Saved = $60

80 - 60 = 20

To make sure this is correct simply add 20 to 60.

60 + 20 = 80

4 0

3 years ago

Read 2 more answers

The endpoints of a diameter of a circle are A(2,1) and B(5,5). Find the area of the circle in terms of pi.

Tcecarenko [31]

Answer:

The area of the circle is $A=6.25\pi\ units^{2}$

Step-by-step explanation:

step 1

Find the diameter of circle

we know that

The diameter of the circle is equal to the distance AB

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

substitute the values

$AB=\sqrt{(5-1)^{2}+(5-2)^{2}}$

$AB=\sqrt{(4)^{2}+(3)^{2}}$

$AB=\sqrt{25}$

$AB=5\ units$

therefore

the diameter of the circle is

$D=5\ units$

step 2

Find the area of the circle

The area of the circle is equal to

$A=\pi r^{2}$

$r=5/2=2.5\ units$ ----> the radius is half the diameter

substitute

$A=\pi (2.5)^{2}$

$A=6.25\pi\ units^{2}$

4 0

3 years ago

Based on the graph, what is the dependent variable, the equation relating the two variables, and how far will the dragonfly trav

ivann1987 [24]

Answer:

<h2>The dependent variable is distance, the equation is y = 20x, and the dragonfly will travel 480 miles.</h2>

Step-by-step explanation:

According to the graph, the dependent variable is Distance in miles, because it's on the vertical axis. Additionally, the independent variable is time in hours, because it's on the horizontal axis. However, you always put time as independent, because nothing affects time.

To find the equation, we just need to find the slope, using two points (0,0) and (2,40).

$m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }=\frac{40-0}{2-0}=20$