Answer: The length of the rectangle is 13.5 units and the width is 4.5 units
Step-by-step explanation: The perimeter of the rectangle has been given as 36 units. The formula applied to calculate the perimeter is
Perimeter = 2(L + W)
However the details in the question states that the rectangle is three times as long as it is wide. That is, the length is three times it’s width. So if the width is W then the length is 3W.
Therefore, to calculate the perimeter we shall apply the following;
Perimeter = 2(3W + W)
If the perimeter is given as 36 units, then we have;
36 = 2(4W)
We cross multiply and we have
36/2 = 4W
18 = 4W
Divide both sides of the equation by 4
4.5 = W
So the width is calculated as 4.5, hence the length would be 3W which equals 3 x 4.5 and that equals 13.5
Therefore, Length = 13.5 units and Width = 4.5 units
You can use the formula for conditional probability as Puzzling did. However in this problem it is easier just to restrict yourself and enumerate the cases that are left.
<span>There are 4 jacks. One of them is a heart. So the probability is 1/4. </span>
<span>If you want to look at what the formula for conditional probability does, it adjusts your probability by restricting the "universe". </span>
<span>P(heart and jack)/P(jack) </span>
<span>= (1/52)/(4/52) = 1/4</span>
Answer:
56.7
Step-by-step explanation:
2.7 x 21 = 56.7
Answer:
Step-by-step explanation:
In a geometric sequence, consecutive terms differ by a common ratio. The formula for determining the nth term of a geometric progression is expressed as
an = a1r^(n - 1)
Where
a represents the first term of the sequence.
r represents the common ratio.
n represents the number of terms.
From the given sequence,
a1 = - 5
r = 15/- 5 = - 3
Therefore, the explicit rule for this sequence is
an = - 5(- 3)^n - 1
