So first you would plug 3 into the x values in the equation. (3)+1/2+15-1/2. EVALUATE AND THE ANSWER IS 18!!
Answer:
384.3
Step-by-step explanation:
1.
25%
.3 + .2 + .15 + .1 = .75
1.00 - .75 = .25
2.
120 students
There are 400 total students
.3 * 400 = 120
4.
tennis-
.1 * 400 = 40 students prefer tennis
football-
.25 * 400 = 100 students prefer football
140 students like football/tennis
5.
400 students
There are four quarters in a whole
.25% = 100
100 * 4 = 400
Answer:
The series is absolutely convergent.
Step-by-step explanation:
By ratio test, we find the limit as n approaches infinity of
|[a_(n+1)]/a_n|
a_n = (-1)^(n - 1).(3^n)/(2^n.n^3)
a_(n+1) = (-1)^n.3^(n+1)/(2^(n+1).(n+1)^3)
[a_(n+1)]/a_n = [(-1)^n.3^(n+1)/(2^(n+1).(n+1)^3)] × [(2^n.n^3)/(-1)^(n - 1).(3^n)]
= |-3n³/2(n+1)³|
= 3n³/2(n+1)³
= (3/2)[1/(1 + 1/n)³]
Now, we take the limit of (3/2)[1/(1 + 1/n)³] as n approaches infinity
= (3/2)limit of [1/(1 + 1/n)³] as n approaches infinity
= 3/2 × 1
= 3/2
The series is therefore, absolutely convergent, and the limit is 3/2
The probability of “landing” in the shaded region to the nearest hundredth is equal to 0.79 or 79.0%.
<h3>How to determine the
probability?</h3>
First of all, we would determine the area of the given geometric shapes.
For the square, we have:
Mathematically, the area of a square can be calculated by using this formula;
Area = x²
Area = 50²
Area = 2500 ft².
For the circle, we have:
Mathematically, the area of a circle can be calculated by using this formula;
Area = πd²/4
Area = (3.142 × 50²)/4
Area = 1,963.75 ft².
Now, we can determine the probability as follows:
Probability = 1963.75/2500
Probability = 0.79 or 79.0%.
<h3>When the side length is 40 ft.</h3>
Area = x²
Area = 40²
Area = 1600 ft².
For the circle, we have:
Area = πd²/4
Area = (3.142 × 40²)/4
Area = 1256.8 ft².
Probability = 1256.8/1600
Probability = 0.79 or 79.0%.
Read more on probability here: brainly.com/question/24441555
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