Answer:
The most simple method for solving systems of equations is to transform one of the equations so it allows for the canceling out of a variable. In this case, we can multiply \displaystyle 3x + y = 8 by to get . Then, we can add \displaystyle 2x + 4y = 12 to this equation to yield , so .
Step-by-step explanation:
Answer:
Approximately 26,82 meters per minute
Step-by-step explanation:
If 1 mile = 1609 meters, then the cheetah runs 1609 in 60 minutes, and we want to find the x meters it runs in 1 minute.
We do x = (1 * 1609) / 60 = 26,82 meters per minute ( approximately )
Answer:
Meridith doesn't get hit 65% of the time.
Step-by-step explanation:
If you take the 35% that she does get hit and subtract that from 100% then you will get 65%. (100-35=65)
Answer:
57.885
Step-by-step explanation:
For such calculations a probability calculator is very helpful. The one in the attachment shows the 87th percentile to be 57.885.
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A table of the standard normal distribution will tell you the 87th percentile corresponds to a z-value of 1.12639. Then the X value is ...
X = Zσ +μ = 1.12639(7) +50 = 57.885
