Answer:
44x +56y = 95
Step-by-step explanation:
To write the equation of the perpendicular bisector, we need to know the midpoint and we need to know the differences of the coordinates.
The midpoint is the average of the coordinate values:
((-2.5, -2) +(3, 5))/2 = (0.5, 3)/2 = (0.25, 1.5) = (h, k)
The differences of the coordinates are ...
(3, 5) -(-2.5, -2) = (3 -(-2.5), 5 -(-2)) = (5.5, 7) = (Δx, Δy)
Then the perpendicular bisector equation can be written ...
Δx(x -h) +Δy(y -k) = 0
5.5(x -0.25) +7(y -1.5) = 0
5.5x -1.375 +7y -10.5 = 0
Multiplying by 8 and subtracting the constant, we get ...
44x +56y = 95 . . . . equation of the perpendicular bisector
Answer: 5/8
Step-by-step explanation:
You could convert 1/4 to 2/8 because the numbers you're subtracting have a common factor of 2. After subtracting 2/8 from 7/8, you're left with 5/8.
Answer:
<em>The sample mean (x⁻) = 80 hours is a point estimate for the mean lifetime of the batteries</em>
Step-by-step explanation:
<u><em>Explanation:-</em></u>
<u><em>Point Estimate:-</em></u>
The sample mean (x⁻) is a point estimate of the Population mean 'μ'
Given data
mean of the sample (x⁻) = 80 hours
<em>Therefore The sample mean (x⁻) = 80 hours is a point estimate for the mean lifetime of the batteries.</em>
<em>and </em>
The sample standard deviation (s) is a point estimate of the Population standard deviation(σ).
Given data
standard deviation of the sample (s) = 20 hours
<em>Therefore The sample standard deviation (s) = 20 hours is a point estimate of the Population standard deviation(σ).</em>
<em></em>
<em></em>
Answer:
0.1393 = 13.93% probability that an order of 50 units will have one or more faulty units.
Step-by-step explanation:
Mean for a number of units, which means that the Poisson distribution is used to solve this question.
Poisson Distribution:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given interval.
Mean:
3 defective for 1000, how many for 50?
3 - 1000
- 50
Applying cross multiplication:
What is the probability that an order of 50 units will have one or more faulty units?
This is:
In which
0.1393 = 13.93% probability that an order of 50 units will have one or more faulty units.
