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 sum of exterior angles of a polygon = 360<span>°
Thus, the eighth exterior angle is equal to
360</span>° - (42° + 55° + 39° + 20° + 62° + 45° + 47°) = 50<span>°</span>
Answer:
120°; 240°
Step-by-step explanation:
Let's first solve for 
: 
At this point it's just a matter of drawing a circle, and mark where the angle is(please excuse my paint skills, but free hand drawing would be even worse). Red line, is 
on the cosines, and both the green and blue lines are valid solutions. The green line is a quarter of a circle, plus 30°, or 120°. The blue one is 3/4 of a circle, minus 30 degrees, or 240°.
3^6 power. it would be 3 to the 6th power
Answer:
the answer is No
Step-by-step explanation:
Since the first line has a slope of -4/7 and the other line has a slope of -1/7. This can be shown in point slope form y-y1=m(x-x1) where m=∆y/∆x.
Through points P and Q, the point slope is represented as -1-(-5)=m(-5-2) ; 4 = -7m ; m = 4/-7. The next two points R and S can be shown in point slope as 5-4=m(-2-5) ; 1 = -7m ; m =1/-7. With the fact that parallel lines must have equal slopes, these two lines cannot be parallel because -4/7≠-1/7
