Please write that x^2 + y^2 = 7^2. The " ^ " indicates exponentiation.
This is the equation of a circle with center at the origin and radius 7.
Supposing that you translate this circle's center to point (h,k). The equation is then
(x-h)^2 + (y-k)^2 = 7^2. The new center is (h,k) = (-3, 2). Substitute -3 for h and 2 for k in the above equation.
Simplify your result and you'll then be done!
Answer:
The decision rule is
Reject the null hypothesis
Step-by-step explanation:
From the question we are told that
The population mean is 
The sample size is n = 160
The sample mean is 
The variance is 
The level of significance is 
The null hypothesis is 
The alternative hypothesis is 
Generally the standard deviation is mathematically represented as

=>
=>
Generally the test statistics is mathematically represented as

=>
=> 
From the z table the area under the normal curve to the left corresponding to 2.53 is

From the value obtained we see that the
hence
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to conclude that the believe that the valve performs above the specifications is true
X=cost of one box of popcorn.
we can suggest this equation:
3x+1.75=9.25
3x=9.25-1.75
3x=7.5
x=7.5/3
x=2.5
Answer: the equation to find the cost of one box of popcorn is 3x+1.75=9.25, and the cost of one box of popcorn is $2.5.
Answer:
<h2>
19/3</h2>
Step-by-step explanation:
Given the expression
, we are to find the value of q;

Hence the value of q is 19/3