Answer: y=4x-10
Step 1: Write model equation
The model equation for slope- intercept form is y=mx+b
M-Slope
X-Variable
B- Y-intercept
Step 2: Slope
Since we know that m is slope, we can substitute the slope given (1/4) into the equation
y=mx+b
y=4x+b
Step 3: Y-intercept
The final thing we have to do is solve for the y-intercept, or b. We’ll do this by substituting the point into the equation and solving.
y=4x+b
*substitute point*
6=4(4)+b
*multiply 4 and 4*
6=16+b
*subtract 16 on both sides*
-10=b
Step 4: Check your answer
We will check our answer by substituting all the values into the equation and seeing if the left and right side equal each other
y=mx +b
6=4(4)-10
6=16-10
6=6
This is correct! Hope this helps comment below for more questions :)
Answer:
x = 3
Step-by-step explanation:
4x - 3 = 9
4x = 9 + 3
4x = 12
x = 12/4
x = 3
Answer:
The probability is 0.503
Step-by-step explanation:
If the ghost appearances occur in the house according to a Poisson process with mean m, the time between appearances follows a exponential distribution with mean 1/m. so, the probability that the next ghost appearance happens before x hours is equal to:
Then, replacing m by 1.4 ghosts per hour we get:
Additionally, The exponential distribution have a memoryless property, so if it is now 1:00 p.m. and we want the probability that ghost appear before 1:30 p.m., we need to find the difference in hours from 1:00 p.m and 1:30 p.m. no matter that the last ghost appearance was at 12:35 p.m.
Therefore, there are 0.5 hours between 1:00 p.m. and 1:30 p.m, so the probability that the 7th ghost will appear before 1:30 p.m is calculated as:
-32 should be the answer if you are owing more