To determine the answer to this item, we first calculate the z-scores of the given data point through the equation,
z-score = (data point - mean) / standard deviation
For 5:
z-score = (5 - 7) / 1.7 = -1.176
This translates to a percentile of 11.97.
For 10:
z-score = (10 - 7) / 1.7 = 1.76
This translates to a percentile of 96.08.
The difference between the percentiles is 84.11. Thus, 84% of the students sleep between 5 to 10 hours.
The equation for KG would be y-14=-1(x-2) and the equation for HG would be y-4=1(x-12).
We first find the slope of KG. The formula for slope is
m=(y₂-y₁)/(x₂-x₁)
Using the points we have for KG, we have
m=(4-14)/(12-2) = -10/10 = -1
The equation for point-slope form is
y-y₁=m(x-x₁)
Using the slope of KG and the first point listed for that line, we have
y-14=-1(x-2)
Now we find the slope of HG:
m=(10-4)/(18-12) = 6/6 = 1
Using the point of intersection for KG and HG, we have
y-4=1(x-12)
Answer:X=-4
Step-by-step explanation:
Answer:
8 tables
Step-by-step explanation:
since she makes on average $18 per table and wants to make $180 we can just multiply $18 by 10 tables however we have to take into account the $36 she makes per night. 36 is just 18 multiplied by 2 meaning we can subtract a total of 2 tables away from the total of 10 tables to get 8 tables
Answer:
True
Step-by-step explanation:
First, we need to recognize that
Now, we can try to solve
Multiply each side by 
As we end up with an answer that cannot be true, we know that there is no solution.
Another method to solve this would be graphing the function 
When graphed, it can be seen that there is an asymptote at x=0 meaning that there is no value for x=0.
