The result of the mathematical expression given as follows: (1/2 + 3/2)² + (2/3 x 1/2)³ is 5.59 or 5⅔.
<h3>How to calculate mathematical expressions?</h3>
According to this question, the following expression is given to solve: (1/2 + 3/2)² + (2/3 x 1/2)³
First, we solve the both parts as follows:
Next, we solve the exponential function as follows:
= (2)² + (1.16)³
= 4 + 1.59
= 5.59 or 5⅔
Therefore, the result of the mathematical expression given as follows: (1/2 + 3/2)² + (2/3 x 1/2)³ is 5.59 or 5⅔.
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Answer:
0.200
Step-by-step explanation:
The probability of obtaining a 3, in one roll of a fair die is 1/6.
Now, we have 5 rolls.
We now want to know the probability of a 3 showing up in at least one of the rolls.
This simply mean, we add the probabilities of three showing one time plus probability of three showing in 2 of the rolls e.t.c
This means we can have 3 showing up to 5 times.
We add the probabilities as follows:
(1/6) + (1/6)^2 + (1/6)^3 + (1/6)^4 + (1/6)^5 = 0.199974 = 0.200
To figure out the answer, you must first find the area. To do this, multiply the length times the width. In this case, that is 7 feet times 8 feet. That equals 56 feet squared. Because the square paving stones are 1 foot squared, the answer is 56 paving stones in all.
I hope this helped! If you don't mind, please do mark my answer as the Brainliest, as I am trying to get past the Ambitious rank. :)
Answer:
Step-by-step explanation:
Let
Point 1 ----------> (5, 2)
Point 2 ----------> (–6, 2)
we know that
the distance between two points it is calculated with the formula
d=√[(y2-y1)²+(x2-x1)²]
then
d=√[(2-2)²+(-6-5)²]
d=√[(0)²+(-11)²]
d=√[121]
d=√121-----------> d=11 units
the answer is 11 unit
