Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the average room price is significantly different from $108.50
Step-by-step explanation:
From the question we are told that
The sample size is n = 64
The average price is 
The population standard deviation is 
The level of significance is 
The population mean is 
The null hypothesis is 
The alternative hypothesis is 
Generally the test statistics is mathematically represented as

=>
=> 
From the z table the area under the normal curve to the left corresponding to 1.75 is

Generally p-value is mathematically represented as

=> 
=> 
From the values obtained we see that
hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the average room price is significantly different from $108.50
Answer: B.
Step-by-step explanation:
See attached. We examine the equation and decide which situation, or problem, models it correctly.
At first we need to know how to find the distance between two parallel lines
The parallel lines which have the same slope
If we have two parallel lines ⇒ y₁ = mx + c₁ and y₂ = mx + c₂
So, the distance between y₁ and y₂ = d =

========================================================
Part (1):=======
<span>The distance between the lines
</span>
<span>
Y₁ = 3x + 10 and Y₂ = 3x - 20</span>
∴ m = 3 , c₁ = 10 and c₂ = -20
∴ d =

========================================================
Part (2):=======
<span>The distance between the lines
</span>
Y₁ = <span>3/2 x + 3/2</span> and Y₂ = <span>3/2 x - 5</span>
∴ m = 3/2 = 1.5 , c₁ = 3/2 = 1.5 and c₂ = -5
∴ d =
3000000÷1.125=2666666.6667
Round off to 2666667 people.
Feel free to correct this if wrong.
Answer:
3
Step-by-step explanation:
23=5x-4
Add 4 to both sides
27=9x
Divide 9 To both sides
27/9 9x/9
x=3