Answer:


An we can use the normal standard table and the following difference and we got this result:

Step-by-step explanation:
Assuming this statement to complete the problem "with a standard deviation 5 mpg"
We have the following info given:
represent the mean
represent the deviation
We have a sample size of n = 54 and we want to find this probability:

And for this case since the sample size is large enough >30 we can apply the central limit theorem and then we can use this distribution:

And we can use the z score formula given by:

And replacing we got:


An we can use the normal standard table and the following difference and we got this result:

The straight line joining the points A(3,-5) and B(6,k) has a gradient of 4.
Gradient is the slope
So the slope of the line joining the points A(3,-5) and B(6,k) is 4
Slope of line joining two points = 
A(3,-5) and B(6,k) are (x1,y1) and (x2,y2)
slope = 
slope = 
We know slope =4

Cross multiply and solve for k
k + 5 = 12
k = 7
The value of k = 7
Answer:
5
Step-by-step explanation:
1. in order to calculate all the required values, it needed to solve:

2. x≥5 means, that x∈[5;+∞), where beginnig is '5'.
Answer:
(x-3) and (x+3) I think
Step-by-step explanation: