Answer:
Step-by-step explanation:
The Pythagorean Theorem says if you have a right triangle, then relationship between the three sides is the sum of the square of each leg is the hypotenuse squared.
So 
where a and b are legs and c is the hypotenuse.
Plug in your a,b, and c. In this case it is a,6, and 8.
This means we have
Simplify where you can before we begin the solving (the moving around of things to other sides).
Now time for the solving. We are first going to get 
by itself.
To do this, we just need to subtract 36 on both sides giving us:
Now to get rid of the square on a, just square root both sides:
.
Answer:
Undefined
Step-by-step explanation:
Use the following formula to solve for slope:
The equation is not a function and therefore the slope is undefined because there are multiple y values for a single x value.
Answer:
2.5% of IQ scores are no more than 65
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 95
Standard deviation = 15
Using the empirical rule, what percentage of IQ scores are no more than 65?
65 = 95 - 2*15
So 65 is two standard deviations below the mean.
By the Empirical Rule, 95% of the measures are within 2 standard deviation of the mean. Of those 5% which are not, 2.5% are more than 2 standard deviations above the mean and 2.5% are more than 2 standard deviations below the mean.
So 2.5% of IQ scores are no more than 65
A rotation followed by a reflection I think
