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
This is the concept of algebra, to calculate the proportion of wool in each item we proceed as follows;
Let the amount of wool used for hat be x
amount of wool in sweater will be 5x
the amount of wool used in scarf will be x-5
therefore the total amount of wool will be:
x+5x+(x-5)=550
x+5x+x-5=550
7x-5=550
7x=550+5
7x=555
hence;
x=555/7
x=79
the amount used in hat x=79g
amount used in sweater 5x=395g
amount used in scarf=79-5=74g
Answer:
Ella got the highest marks.
Step-by-step explanation:
Given that:
Camilla got 4/5 of the 200 marks.
Marks of Camilla = 
Marks of Camilla = 160 marks
Lincoln got 44% of the 200 marks.
Marks of Lincoln = 
Marks of Lincoln = 88 marks
Ella got 198 out of 200.
On comparing,
198 is the highest out of 200.
Hence,
Ella got the highest marks.
Answer:
6
Step-by-step explanation:
2x + 3 = 15
- 3 -3
__________
2x = 12
_______
2 2
That cancels out 2x so x = 6