Answer:
![P(A\cup B)= 0.875](https://tex.z-dn.net/?f=P%28A%5Ccup%20B%29%3D%200.875)
Step-by-step explanation:
From the diagram, none of the students play both instruments.
This means the two events are mutually exclusive.
![P(A\cup B)=P(A)+P(B)](https://tex.z-dn.net/?f=P%28A%5Ccup%20B%29%3DP%28A%29%2BP%28B%29%20)
The number of people playing instruments is 20.
![P(A\cup B)= \frac{20}{40} + \frac{15}{40}](https://tex.z-dn.net/?f=P%28A%5Ccup%20B%29%3D%20%5Cfrac%7B20%7D%7B40%7D%20%20%2B%20%20%5Cfrac%7B15%7D%7B40%7D%20)
![P(A\cup B)= \frac{35}{40}](https://tex.z-dn.net/?f=P%28A%5Ccup%20B%29%3D%20%5Cfrac%7B35%7D%7B40%7D%20)
![P(A\cup B)= 0.875](https://tex.z-dn.net/?f=P%28A%5Ccup%20B%29%3D%200.875)
The simplified expression of 8x + 4 - 6y - 3x + y is 5x - 5y + 1
Expression:
An expression is any mathematical statement that consists of numbers, variables and an arithmetic operation between them.
Given,
Here we have the expression 8x + 4 - 6y - 3x + y.
Now, we have to simplify the expression.
To simplify the expression, first we have to write the given expression,
=> 8x + 4 - 6y - 3x + y
Now, we have to combine the like terms, then we get,
=> (8x - 3x) + (-6y + y) + (4 - 3)
Now, we have to perform the appropriate arithmetic operations on it, then we get,
> 5x + (-5y) +1
Therefore, the simplified form of the given expression is 5x - 5y + 1
To know more about Expression here.
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Answer:nicole 5,17,51,155,467 ian 1, 3,7,15,31
Step-by-step explanation:
(5,1)
(17,3)
(51,7)
(155,15)
(467,31)
hope this helps good luck
Answer: option D) An = 3an - 9a
Justification:
1) That is an arithmetic sequence which you prove by determining the difference between two consecutive terms (which shall be constant if it indeed is an arithmetic sequence):
2)
Second term - first term = -3a - (-6a) = -3a + 6a = 3a
Third term - second term = 0a - (-3a) = 3a
Fourth term - third term = 3a - 0a = 3a
Fith term - fourth term = 6a - 3a = 3a
Therefore, it is an arithmetic sequence with difference d = 3a.
3) the general rule for the nth term of an arithmetic sequence is given by the formula:
An = Ao + d (n - 1)
Where Ao = -6a and d, as determined above, is 3a
=> An = -6a + 3a (n - 1)
Expand the parenthesis (distributive property) =>
An = -6a + 3an - 3a = -9a + 3an = 3an - 9a = option D. <------- answer.
Volume of cylinder = 2pierh + 2pier^2
= 2*3.14*4.5*13 + 2*3.24*4.5^2
= 494.8