Finding the domain and range
1 answer:
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Answer:
For the student who is studying 10 hours a week is in the 57.93th percentile.
Step-by-step explanation:
Corresponding z-score for the student who studies 10 hours a week can be calculated by the formula
z= where
- x is the hours student work in a week, which is 10,
- M is the mean studying hour of the class, which is 9.92,
- s is the standart deviation which is 4.54
from here we find that z=≈0.2
Corresponding percentile for z=0.2 is 57.93
Answer: x = 6
Step-by-step explanation:
Because we are given that the two figures are already similar, we can set up a proportional relationship to determine the value of x. Since the larger rectangle has a width of 21 and the smaller rectangle has a width of 7, those values can be used as the numerators in the proportion. Since the larger rectangle's length is x plus the additional 3 units on the smaller rectangle, x+3 and 3 can be used as the denominators in the proportion.
Next, we set up the proportion as follows:
Then, you cross multiply to get the equation:
After solving down algebraically, you get the value of x to be 6.
I hope this helps!