Answer:
16 batches are to be made for the party.
Explanation:
Given:
Number of batches for every 9 people= 2
Total number of people attending the party=72
To Find:
The Number of batches required=?
Solution:
Let the number of batches for 72 people be n
So, by cross multiplication method,
2 x 72 = n x 9
9n = 72 x 2
n = 8 x 2
n = 16
Answer:
or
(Not sure which one is preferred in your case)
Step-by-step explanation:
<u>Key skills needed: Evaluating expressions</u>
1) We are given:
2) To solve for the x variable, we want to leave the term with "x" by itself.
This means we add 10 to both sides
-->
(Since -10 and +10 cancel out to make 0 or nothing)
3) Then we divide by 5 on both sides to get "x" completely by itself.
----->
4) You can keep it as is so --> 
or you can divide "y" by 5 and "10" by 5 and get --> 
(I am not sure which form is preferred one is preferred as the teacher matters)
<em>Hope you understood and have a nice day!!</em>
45.90*0.05=2.295.
The answer is $2.30 when you round it off.
Answer:
The confidence interval for 90% confidence would be narrower than the 95% confidence
Step-by-step explanation:
From the question we are told that
The sample size is n = 41
For a 95% confidence the level of significance is
and
the critical value of
is 
For a 90% confidence the level of significance is
and
the critical value of
is 
So we see with decreasing confidence level the critical value decrease
Now the margin of error is mathematically represented as
given that other values are constant and only
is varying we have that

Hence for reducing confidence level the margin of error will be reducing
The confidence interval is mathematically represented as

Now looking at the above formula and information that we have deduced so far we can infer that as the confidence level reduces , the critical value reduces, the margin of error reduces and the confidence interval becomes narrower
To find the greatest common factor of 40 and 27, we can first start by making a list of factors for each number.
The factors of 27 are: 1, 3, 9, 27
The factors of 40 are: 1, 2, 4, 5, 8, 10, 20, 40
When looking at these numbers, we can see that 1 is the greatest common factor of both 40 and 27.