Answer:
432 characters
Step-by-step explanation:
There are 3 feet in a yard which means there are 36 inches in a yard since one foot is equal to 12 inches. Each inch contains 12 characters so you would multiply 36 by 12 to get 432.
Question 1: The y-intercept is where the line crosses the y-axis. The increments of the y-axis is by 20, and the y-intercept is at (0, 20).
The slope is the change in y over the change in x. Find two points:
(0, 20) and (2, 80)
Now:
(80 - 20)/(2 - 0) = 60/2 = 30
Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
So:
y = 30x + 20
Question 2: Again, look for the y-intercept, which is pretty clear. It's (0, 60).
Now find two points:
(0, 60) and (2, 40)
Find the slope:
(40 - 60)/(2 - 0) = -20/2 = -10
So, the equation is:
y = -10x + 60
And, there you go!
Answer:
0.1353 = 13.53% probability that the lifetime exceeds the mean time by more than 1 standard deviations
Step-by-step explanation:
Exponential distribution:
The exponential probability distribution, with mean m, is described by the following equation:
In which is the decay parameter.
The probability that x is lower or equal to a is given by:
Which has the following solution:
The probability of finding a value higher than x is:
The mean time for the component failure is 2500 hours.
This means that
What is the probability that the lifetime exceeds the mean time by more than 1 standard deviations?
The standard deviation of the exponential distribution is the same as the mean, so this is P(X > 5000).
0.1353 = 13.53% probability that the lifetime exceeds the mean time by more than 1 standard deviations
Answer:
Step-by-step explanation:
Step 1. Find the slope (by using the slope-formula)
m = slope
Step 2. Write the equation (using the slope and the points)
Here's how to do it:
Slope-intercept Formula whrere m = slope and b = y-intercept
Plug in the slope into the Slope-intercept Formula
Find the y-intercept (b) by using a point and substituting their x and y values
Point: (3, 7)
Step 3. Write the equation in Slope-intercept form