.In a warehouse, there are 40 guitars, 60 bass guitars, and 20 snare drums. An instrument is randomly selected to check the stor
2 answers:
Answer: The correct option is (4)
Step-by-step explanation: Given that in a warehouse, there are 40 guitars, 60 bass guitars, and 20 snare drums. An instrument is randomly selected to check the storage conditions.
We are to find the probability that the selected instrument is a snare drum.
Let, S be the sample space for the experiment of selecting an instrument and E be the event that the selected instrument is a snare drum.
Then,
n(S) = 40 + 60 + 20 = 120
and
n(E) = 20.
Therefore, the probability of the event E is given by
Thus, the required probability is
Option (4) is CORRECT.
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Answer:
Perpendicular
Step-by-step explanation:
[1] We need to find the slopes of both lines! First, we will put them into standard form and then solve.
Standard form: y=mx+b
(1) 10x + 2y = 4
(subtract 10x from both sides)
2y = -10x + 4
(divide both sides by 2)
y = 5x+2
The slope is 5
(2) 5y - x = -5
(add x to both sides)
5y = x - 5
(divide both sides by 5)
y = x - 1
The slope is one-fifth
[2] Then, we need to determine if they are parallel, perpendicluar, or neither.
- If they are parallel they will have the same slope
- If they are perpendicular they will have exact opposite slopes
() Line 1 has a slope of 5 and line two has a slope of one-fifth. These are exact opposites so the lines are perpendicular.
(I hope this is correct and helped, have a nice day!)
Consider the given number is in question as well as in options.
Given:
is considered as an irrational number.
To find:
The reason for given statement.
Solution:
We have,
When evaluated, results in a nonterminating (infinite digits after decimal) and nonrepeating decimal, which is considered an irrational number.
Therefore, the correct option is C.