Answer:
square side = 57
hexagon side = 38
Step-by-step explanation:
x = side length of square
y = side length of hexagon
x = y + 19
4x = 6y
substitute for x:
4(y + 19) = 6y
4y + 76 = 6y
subtract 4y from each side of the equation:
2y = 76
divide both sides by 2:
y = 38
x = 57
Answer:
Step-by-step explanation:
Given that a study found that the average stopping distance of a school bus traveling 50 mph was 264 feet.
Sample taken showed the following results
Since population std deviation is known and sample size is large, z test can be used.
(Left tailed test)
Mean difference = 
Std error = 
Z = test statistic = mean diff/std error
= 
p value = 0.00017
Since p < alpha our 0.05 we reject null hypothesis
There is evidence to show that mean is less than 264 feet
(Assumptions:
Sample are randomly drawn
Sample represents the population
Answer:0.03
Step-by-step explanation:
We can see that a and b are parallel, and c and e are parallel, so the correct option is E.
<h3>
Which line must be parallel?</h3>
On the diagram, we can see that the angles in the third quadrant of the intersections between a and c, and the intersections between b and c, are the same angle.
Then, lines a and b must be parallel.
For the intersections with line d, we can see that this time the angle is on the fourth quadrant, so c and d are not parallel.
Finally, for line e, we can see that the known angle is on the first quadrant.
Notice that the angle on the first quadrant will be equal to the angle on the third quadrant.
So for the intersections of a and e, and b and e, on the third quadrant we have the known angle (the same one as in the intersections of a and c, and a and b).
Then c and e are parallel.
Then A and C are true.
Thus, the correct option is E.
If you want to learn more about parallel lines:
brainly.com/question/24607467
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<u> Solution-</u>
The given function is,
Therefore, at x=0, -1, 1 , f(x) will be 0 . Hence, 0, -1 ,1 are the x-intercepts.
Plotting the graph on desmos, the graph will be as in the attachment.
