Answer: a) (1008.34,1019.658) b) (1009.24,1018.76)
Step-by-step explanation:
Since we have given that
n = 75
mean = 1014 hours
Standard deviation = 25 hours
At 95% two sided , z = 1.96
So, confidence interval would be

(b) Construct a 95% lower confidence bound on the mean life.
z = 1.65
So, confidence interval would be

Hence, a) (1008.34,1019.658) b) (1009.24,1018.76)
Answer:
-3.5
Step-by-step explanation:
To find the slope we use
m = (y2-y1)/(x2-x1)
= (-15-20)/(-6 - -16)
=(-15-20)/(-6+16)
-35/10
= -3.5
Answer:
A construction worker may use trigonometry when building the roof of a house. They may have to calculate the right angle that hypotenuse must sit at so water doesn't build up on the roof and cause leaks.
(this may be more of an architect's job, as they are the ones that design the houses)
or
An air traffic controller may use trigonometry to find how long it will take an airplane to land/how far the airplane is from the ground while it is in the sky (hypotenuse), based on its height from the ground (opposite) and the distance away from the runway it is (adjacent). They can also calculate the angle of elevation of the airplane from the tower they work in.
Answer:
150 degrees
Step-by-step explanation:
Use the equation below to find the sum of all the interior angles in this polygon:
(number of sides - 2)*180
number of sides = 6
(6-2)*(180) = 4*(180) = 720
Now that you know the total sum, subtract all other angles to find x:
720 - 90 - 162 - 101 - 96 - 121 = 150
Answer:
9
Step-by-step explanation:
Calculate the absolute difference of the 2 points, that is
| - 7 - 2 | = | - 9 | = 9 , or
| 2 - (- 7) | = | 2 + 7 | = | 9 | = 9