Answer:
Yes, this is a translation which doesn't change the pre-image size
Step-by-step explanation:
Answer:
90000 srry if im wrong
Step-by-step explanation:
The expected value of the inseam length of the jeans is found as
30% of 30+ 25% of 32+ 10% of 34+ 10% of 36 + 10% of 38 + 15% of 40
= ![\frac{30}{100}\times30 +\frac{25}{100}\times32+ \frac{10}{100}\times34+ \frac{10}{100}\times36 +\frac{10}{100}\times38+ \frac{15}{100}\times40](https://tex.z-dn.net/?f=%5Cfrac%7B30%7D%7B100%7D%5Ctimes30%20%2B%5Cfrac%7B25%7D%7B100%7D%5Ctimes32%2B%20%5Cfrac%7B10%7D%7B100%7D%5Ctimes34%2B%20%5Cfrac%7B10%7D%7B100%7D%5Ctimes36%20%2B%5Cfrac%7B10%7D%7B100%7D%5Ctimes38%2B%20%5Cfrac%7B15%7D%7B100%7D%5Ctimes40)
= ![9+8+3.4+3.6+3.8+6=33.8](https://tex.z-dn.net/?f=9%2B8%2B3.4%2B3.6%2B3.8%2B6%3D33.8)
Hence, the third option 33.8 is the correct expected value.
Point form: (6,-3)
equation form: x=6, y=-3
Answer:
7.5 miles per hour
Step-by-step explanation:
Average speed over the interval [1, 3] = (distance at 3 hrs -distance at 1 hr)/(3 hrs - 1 hr)
From the graph:
Distance at 3 hrs = 30 => (3, 30)
Distance at 1 hr = 15 => (1, 15)
Average speed = (30 - 15)/(3 - 1)
Average speed = 15/2
= 7.5
Therefore, average speed = 7.5 miles per hour