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Morgarella [4.7K]
2 years ago
5

#17. The height, H metres, of a certain species of Fir

Mathematics
1 answer:
olya-2409 [2.1K]2 years ago
7 0

Answer:

The approximated height of the tree is of 112 meters.

Step-by-step explanation:

The height of a tree with a base diameter of d meters is approximated by the following formula:

h = 35d

In this question:

Base diameter of 3.2m, so d = 3.2, and the height is in meters.

h = 35d = 35(3.2) = 112

The approximated height of the tree is of 112 meters.

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What is the probability that a randomly selected contestant won a prize, given that the contestant was female write the probabil
pantera1 [17]

We have given the table of number of male and female contestants who did and did not win prize

The probability that a randomly selected contestant won prize given that contestant was female is

P(contestant won prize / Contestant was female)

Here we will use conditional probability formula

P(A/B) = \frac{P( A and B)}{P(B)}

Let Event A = selected contestant won prize and

event B = selected contestant is famale

Then numerator entity will

P(A and B) = P(Contestant won prize and Contestant is female)

= Number of female contestant who won prize / Total number of contestant

= 3 /(4+9+3+10)

= 3 / 26

P(A and B) = 0.1153

P(B) = P(contestant is female )

= Number of female contestant / Total number of contestants

= (3+10) / 26

P(B) = 0.5

Now P(A / B) = \frac{P( A and B)}{P(B)}

= 0.1153 / 0.5

P(A / B) = 0.2306

The probability that randomly selected contestant won prize given that contestant is female is 0.2306

Converting probability into percentage 23.06%

The percentage that randomly selected contestant won prize given that contestant is female is 23%

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3 years ago
A square is cut in half on the diagonal creating two equal triangles each triangle has an area of 0.72 square units what is the
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In a square all 4 sides are equal, so when you cut it along the diagonal to make a triangle, both the base and the height of the triangle would be the same.


The area of a triangle is found by the formula 1/2 x base x height

Since the base and height are the same the formula becomes Area = 1/2 x S^2 ( where S is the length of a side).

The area is given as 0.72 square units.

Now you have 0.72 = 1/2 x S^2

First multiply both sides by 2:

1.44 = S^2

To find S, take the square root of both sides:

S = √1.44

S = 1.2

The side length is 1.2 units.

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Step-by-step explanation:

$240.00

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