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Fofino [41]
3 years ago
15

How many leaves on a tree diagram are needed to represent all possible combinations tossing a coin 3 times?

Mathematics
2 answers:
Anika [276]3 years ago
8 0
N = 3 is the number of times the coin is tossed. Since there are 2 outcomes per toss, this means that there are 2^n = 2^3 = 2*2*2 = 8 outcomes total. Therefore, there are 8 leaves total. 

If we make
H = heads
T = tails

Then here are the 8 outcomes in the sample space
HHH
HHT
HTH
THH
HTT
THT
TTH
TTT


vladimir1956 [14]3 years ago
4 0

There are 8 combinations. A P E X :)

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4 0
3 years ago
Find the equation of the line with slope m=1/2 that contains the point (4,6)
vazorg [7]

Answer:

y = 1/2x + 4

Step-by-step explanation:

Use the formula for the equation of a line.

y = mx + b

Where m is the slope, and b is the y-intercept.

The slope is given.

y = 1/2x + b

The points (x, y) are given.

(4, 6)

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The equation of the line is y = 1/2x + 4.

4 0
3 years ago
A rancher has 4 comma 700 feet of fencing available to enclose a rectangular area bordering a river. he wants to separate his co
guapka [62]
Area=length*width
let the sides perpendicular to the river be x
then  the side parallel to the river is 4,700-2x 
A(x)=x(4700-2x)
A(x)=4700x-2x^2

This a quadratic function with a=-2 and b=4700
thus
Maximum area occurs where x=-b/2a=-4700(-2*2)=1,175 ft
length=4700-2(1175)=2,350 ft
4 0
4 years ago
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