For this case we have that by definition, the volume of a rectangular prism is given by:
Where:
It is the area of the base
h: It is the height
So:
The volume of the prism is:
Now, the volume of the cubes is:
Thus, we divide and find the number of cubes to fill the prism:
ANswer:
n = 2.5
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Binomial probability states that the probability of x successes on n repeated trials in an experiment which has two possible outcomes can be obtained by
(nCx).(p^x)⋅((1−p)^(n−x))
Where success on an individual trial is represented by p.
In the given question, obtaining heads in a trial is the success whose probability is 1/2.
Probability of 6 heads with 6 trials = (6C6).((1/2)^6).((1/2)^(6–6))
= 1/(2^6)
= 1/64
Answer:
e = 1/2
Step-by-step explanation:
to solve foe e in this 4/3=-6e-5/3
solution
4/3=-6e-5/3
4/3 + 5/3 = 6e
find the lcm of the left hand side
4 + 5/3 = 6e
9/3 = 6e
cross multiply
3 x 6e = 9 x 1
18e = 9
divide both sides by the coefficient of e which is 18
18e /18 = 9/18
e = 1/2
therefore the value of e in the expression above is evaluated to be equals to 1/2
We know that
cos A=adjacent side angle A/hypotenuse
adjacent side angle A=24 units
hypotenuse=26 units
cos A=24/26-----> 12/13
cos B=adjacent side angle B/hypotenuse
adjacent side angle B=10 units
hypotenuse=26 units
cos B=10/26------> 5/13
the answers are
cos A=12/13
cos B=5/13
cot A=adjacent side angle A/opposite side angle A
adjacent side angle A=24 units
opposite side angle A=10 units
cot A=24/10------> cot A=12/5
cot B=adjacent side angle B/opposite side angle B
adjacent side angle B=10 units
opposite side angle B=24 units
cot B=10/24------> cot B=5/12
