Answer:
0.8333 = 83.33% probability that the cycle time exceeds 50 minutes if it is known that the cycle time exceeds 45 minutes
Step-by-step explanation:
A distribution is called uniform if each outcome has the same probability of happening.
The uniform distributon has two bounds, a and b, and the probability of finding a value higher than x is given by:
Uniformly distributed over the interval 40 to 75 minutes.
This means that 
It is known that the cycle time exceeds 45 minutes
This means that we can use 
What is the probability that the cycle time exceeds 50 minutes?
0.8333 = 83.33% probability that the cycle time exceeds 50 minutes if it is known that the cycle time exceeds 45 minutes
Answer:
The longer diagonal has a length of 7.3 meters.
The angles are 31.65° and 18.35°
Step-by-step explanation:
If one angle of the parallelogram is 50°, another angle is also 50° and the other two angles are the supplement of this angle. so the other three angles are:
50°, 130° and 130°.
The longer diagonal will be the one opposite to the bigger angle (130°), and this diagonal divides the parallelogram in two triangles.
Using the law of cosines in one of these two triangles, we have:
So the longer diagonal has a length of 7.3 meters.
To find the angles that this diagonal forms with the sides, we can use the law of sines:
The other angle is B = 50 - 31.65 = 18.35°
Please check the image attached for better comprehension.
Answer:
Width = 2
Length = 5
Step-by-step explanation:
let A be the area of the rectangle
L be the length of the rectangle
w be the width of the rectangle
<u><em>Formula</em></u>: ‘<u><em>area of a rectangle</em></u>’
A = L × w
…………………………………………………
A = L × w
⇔ 10 = (w + 3) × w
⇔ 10 = w² + 3w
⇔ w² + 3w - 10 = 0
<u><em>Solving the quadratic equation</em></u> w² + 3w - 10 = 0 :
Δ = 3² - 4(1)(-10) = 9 - (-40) = 9 + 40 = 49
then √Δ = 7
-5 is not valid ,because w represents the width
which must be a positive number
Then w = 2
<u><em>Conclusion</em></u>:
Width = 2
Length = 2 + 3 = 5
Parallel lines have the same slope.
The given line has a slope of 3, therefore, the line parallel to the given line has a slope of 3.
Now, we have the slope of the line and a point that it passes through.
So, we can use the Point-Slope formula:
<h3>
Answer: Choice B</h3>
Doug borrowed $2 from his friend every day from Monday through Friday. How much money does Doug owe in all?
==============================================================
Explanation:
The notation 5(-2) is the same as saying "5 times negative 2"
The negative represents the amount of debt that Doug goes into when borrowing that $2. When borrowing the same amount over the course of 5 days, he'll be in debt a total of 10 dollars. So we'd write -10 to represent this.
You could also write it out the longer way
-2 + (-2) + (-2) + (-2) + (-2) = -10
There are five copies of "-2" being added up to arrive at -10
Though it's much simpler to say
5(-2) = -10
