Answer:
it is 20x - 11 = 5x + 11
Step-by-step explanation:
hope this help :)
Answer:
The test statistic is t = 3.36.
Step-by-step explanation:
You're testing the claim that the mean difference is greater than 0.7.
At the null hypothesis, we test if it is 0.7 or less, that is:

At the alternate hypothesis, we test if it is greater than 0.7, that is:

The test statistic is:

In which X is the sample mean,
is the value tested at the null hypothesis, s is the standard deviation and n is the size of the sample.
0.7 is tested at the null hypothesis:
This means that 
Survey of 35 people. From the sample, the mean difference was 0.95, with a standard deviation of 0.44.
This means that 
Calculate the test statistic



The test statistic is t = 3.36.
Given :
p = 0.68
margin of error, E = 0.1
99% confident interval
alpha, α = 1 - 0.99
= 0.01

∴
(z-critical value)
Sample size = 


= 144.37
= 145 (rounded off)
Therefore, there are 145 businesses does she need to sample to meet this criteria.
Answer:
(a) Circle Q is 9.4 units to the center of circle P
(b) Circle Q has a smaller radius
Step-by-step explanation:
Given


Solving (a): The distance between both
The equation of a circle is:

Where


P and Q can be rewritten as:


So, for P:


For Q:


The distance between them is:

Where:
--- 
--- 
So:





Solving (b): The radius;
In (a), we have:
--- circle P
--- circle Q
By comparison

<em>Hence, circle Q has a smaller radius</em>
The answer is C
This is because the Go Back space is twice as big as the Return To Start space