To determine the probability that one or the other circumstances will occur, you will count the number of possible outcomes and divide it by all the possible outcomes.
#of female teaching assistants + # of male teaching assistants + # of female professors
6 + 16 + 11 = 33
Total = 41
33/41 = 80
There is a approximate 80% probability that one or the other will occur.
The length and width of the conservatory are both 4.5 meters
<h3>How to determine the length and the width?</h3>
From the figure, we have the following highlights:
- Length = 3 units
- Width = 3 units
A unit = 1.5 meters
So, we have:
Width = Length = 3 * 1.5 meters
Width = Length = 4.5 meters
Hence, the length and width of the conservatory are both 4.5 meters
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Substituting the value of X in each of the equations.The best answer would be the equation satisfying both of the sides.
Therefore,
Substituting the values in the second equation gives the best answer.
8(1.2)^2 + 34 = 45.52 centimeters
1/27
1/27
125
Step-by-step explanation:
Given that,
a - b = 3
9^(1/2b) /3^a = 3^(2/2b) /3^a
= 3^b/3^a
= 3^(b-a)
= 3^(-3)
= 27^(-1)
= 1/27
27^(1/3b) /9^(1/2a) = 3^(3/3b) /3^(2/2a)
= 3^b/3^a
= 3^(b-a)
= 3^(-3)
= 27^(-1)
= 1/27
125^(1/3a) /25^(1/2b) = 5^(3/3a) /5^(2/2b)
= 5^a/5^b
= 5^(a- b)
= 5^3
= 125
Answer:
Bc = √63 ft
Step-by-step explanation:
Here, we want to get the length of BC
As we can see, there is a right angled triangle ABC, with 12ft being the hypotenuse and 9 ft the other side
So we want to get the third leg which is BC
we can use the Pythagoras’ theorem here
And that states that the square of the hypotenuse equals the sum of the squares of the two other sides
let the missing length be x
12^2 = x^2 + 9^2
144 = x^2 + 81
x^2 = 144-81
x^2 = 63
x = √63 ft