First multiply 20 by .3 (30%)
This will give you a product of 6.
Subtract 6 from 20 (14)
$14 added to $20 is equal to $34
Ramon spent $34 on the pullovers
Given:
The x and y axis are tangent to a circle with radius 3 units.
To find:
The standard form of the circle.
Solution:
It is given that the radius of the circle is 3 units and x and y axis are tangent to the circle.
We know that the radius of the circle are perpendicular to the tangent at the point of tangency.
It means center of the circle is 3 units from the y-axis and 3 units from the x-axis. So, the center of the circle is (3,3).
The standard form of a circle is:

Where, (h,k) is the center of the circle and r is the radius of the circle.
Putting
, we get


Therefore, the standard form of the given circle is
.
Answer:
Claim is true that most medical malpractice lawsuits are dropped or dismissed.
Step-by-step explanation:
Given :In a study of 799 randomly selected medical malpractice lawsuits, it was found that 499 of them were dropped or dismissed.
To Find : Use a 0.05 significance level to test the claim that most medical malpractice lawsuits are dropped or dismissed.
Solution:
n = 799
x = 499
We will use one sample proportion test

We are given that the claim is most medical malpractice lawsuits are dropped or dismissed.
Probability of dropped or dismissed is 1/2

Formula of test statistic = 
=
= 7.038
p value (z>7.038) is 0
α =0.05
So, p value < α
So, we reject the null hypothesis
So,claim is true
Hence most medical malpractice lawsuits are dropped or dismissed.
Answer:
We get x=3 and y=21
The ordered pair will be: (3,21)
Step-by-step explanation:
We need to use the substitution method to solve the system of equations.

For substitution method we substitute the value of x or y from one equation to other.
Let:

Putting value of y from equation 2 into equation 1

So, we get value of x=3
Now, for finding value of y, We substitute the value of x
Find value of x from equation 2

Now, putting value of x in equation 1

So, we get value of y=21
So, We get x=3 and y=21
The ordered pair will be: (3,21)