Answer:
1. y = 2x - 1
Step-by-step explanation:
See attached image.
Answer: 84 ft
Step-by-step explanation:
Answer:
100
Step-by-step explanation:
Answer:
B. 264
Step-by-step explanation:
Although the figure may look odd, This is just a square pyramid on it's side.
So, to find the surface area, we need to find the area of the base and the area of the faces and add them together.
To find the area of the base:
Since the base is a square, all we have to do is multiply 8 by itself.
8 * 8 = 64
The area of the base is 12.5 in^2
To find the area of the faces:
Since the faces are triangles, we have to multiply the length by the height and divide by 2.
8 * 12.5 = 100
100/2 = 50
The area of one face is 50 in^2
To find the surface area:
Add the area of the base to the area of all 4 sides.
64 + 4(50)
64 + 200 = 264
The surface area of the pyramid is B. 264 in.^2
The first standard deviation covers about 68% of the distribution in a normal curve. (34% higher, 34% lower than the mean). the second standard deviation covers 28% (14% between 1st and 2nd SD above the mean, 14% between 1st and 2nd SD below the mean). In our case
1 Standard deviation = 27 hours (we will approximate to 25 hours)
Mean = 2,000
This means that 34% of the distribution is between 1975 and 2000 hours (within 1 standard deviation below the mean)
2,000- 2,050 covers the range within 50 hours above the mean.
50 hours is roughly 2 standard deviations. The second standard deviation (standard deviation between 1 and 2) covers around 14% on each side of the distribution.
50 hours is roughly 2 standard deviations, which means we add 34% + 14% = 48%.
The range of 1,975 - 2,050 hours covers 34% of the distribution below the mean and 48% of the distribution above the mean.
This means that the probability that the light bulb will last somewhere within this range is 34% + 48% = 82%
The closest answer is 79%. The difference can be explained by the fact that, for simplicity, we approximated the standard deviation to be ~25 hours instead of the real standard deviation of 27 hours.
