Answer:
a
The null hypothesis is 
The alternative hypothesis is 
b

c

d
There no sufficient evidence to support the conclusion that the population mean sales prices for new one-family homes in the South is less expensive than the national mean of $181,900
Step-by-step explanation:
From the question we are told that
The population mean is 
The sample size is 
The sample mean is
The sample standard deviation is 
The null hypothesis is 
The alternative hypothesis is 
Generally the test statistics is mathematically represented as

=> 
=> 
Generally the p-value is obtain from the z-table the value is

=> 
From the calculation we see that
hence we fail to reject the null hypothesis
Thus there no sufficient evidence to support the conclusion that the population mean sales prices for new one-family homes in the South is less expensive than the national mean of $181,900
Answer:
<u><em>Part A:</em></u> D. 
<u><em>Part B:</em></u> C. 
Step-by-step explanation:
For part A) we just have to plug in 0 for x and solve for y until we find the equation that says 3 is the value for y when x is 0. For purposes of speeding up the process the correct answer is D. I will show how to check for it now.
The equation: 
Now plug in 0 for x.

Now solve.
y = (1)(3)
y = 3
This proves that this is the correct answer.
For part B) we just have to plug in the give values for x separately and check for each value of x that it equals 0. For the purpose of speeding up the process the correct answer is C. I will show how to check for it now.
The equation: 
Now plug in x for 0 and solve:



This equation is true, now we check for the other value of x, 3.



This is also true so that means this is the correct answer.
The solution would be like this for this specific problem:
Area of Circle = 16(π)
= 16 * 3.14
= 50.24
Area of Square = 64
= 64 – 50.24
= 13.76
Area of Square but not on the circular board = 13.76 / 64
= 0.215
Percentage value = 0.215 * 100%
= 21.5%
So, <span>to the nearest percent, the probability that the dart lands
inside the square but not on the circular dartboard is 21.5%.</span>
Answer:

Step-by-step explanation:
The domain of a function is all of the values that
can be under that specific function. In this case, we're asking what values of
allow
to exist.
In order for square roots to exist, the quantity under the square root must be greater than or equal to
, because you can't take the square root of a negative number. Therefore, we can write the following inequality to solve for
:

Solving this inequality, we get:

(Subtract
from both sides of the inequality to isolate
)
(Multiply both sides of the inequality by
to get rid of
's coefficient)
Hope this helps!
It is choice B
i hope that helps