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:
Solution of the given equations is (-5,2)
Step-by-step explanation:
We have been given the following system of equations:
y = (2/5)x + 4
y = 2x + 12
The solution of the system of equation can be found by finding the point of intersection of both lines on the graph. The graph of both equations is attached below.
As we can see that both the lines intersect each other at one point, and that point is (-5,2). So the solution of the given equations is (-5,2)
96/1.5 would be your unit rate which is 64 then multiply your unit rate times 2 and you get 128 miles.
Hey there!
When dealing with percent word problems, the word "is" means equals. Let's see what we can do with your problem.
If the small school had 60% boys, it will have 40% girls. The number of boys <em>is</em> 48, which should equal 60% of the total, which we can model below, with t representing the total number of kids. In decimal form, 60% is 0.6.
0.6t=48
We divide both sides by 0.6.
t=80
Therefore, there are 80 total kids at the school.
We can also check our answer below.
BOYS: 0.6(80)= 48
GIRLS: 0.4(80)=32
48+32=80
I hope that this helps!
