Answer:
There is a 73.11% probability that at least 2 machines will break down on a given day.
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which 
is the number of different combinatios of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
In this problem we have that:
There are 4 machines, so 
.
The probability that on a given day any one machine will break down is 0.53. This means that 
.
What is the probability that at least 2 machines will break down on a given day?
In which
So
There is a 73.11% probability that at least 2 machines will break down on a given day.
Answer:
5. m < 1 = 72 degrees.
6. m < 1 = 80 degrees.
Step-by-step explanation:
5. < 1 = 72 degrees.
If we draw a line through the point of < 1, We see that We have have 2 angles of 40 and 32 ( alternate angles).
6. By the same reasoning m < 1 = 60 + 20
= 80 degrees.
Answers:
- x = 11
- angle RQS = 106 degrees
- angle SQT = 74 degrees
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Explanation:
Straight angles are always 180 degrees in measure.
The two smaller angles shown add up to 180
(angle RQS) + (angle SQT) = angle RQT
(9x+7) + (6x+8) = 180
(9x+6x) + (7+8) = 180
15x+15 = 180
15x = 180-15
15x = 165
x = 165/15
x = 11
From here, we then know that,
- angle RQS = 9x+7 = 9*11+7 = 99+7 = 106 degrees
- angle SQT = 6x+8 = 6*11+8 = 66+8 = 74 degrees
Note how the two results add to 106+74 = 180 to help confirm the answers.
Answer:
Add them up so ur answer can be right
