Answer: 
Step-by-step explanation:
We know that mean and standard deviation of sampling distribution is given by :-
, where 
= population mean
=Population standard deviation.
n= sample size .
In the given situation, we have
n= 2
Then, the expected mean and the standard deviation of the sampling distribution will be :_
[Rounded to the nearest whole number]
Hence, the the expected mean and the standard deviation of the sampling distribution :
7x = 40
7x + 4y = 40
The first equation represents that in total, the 7 tickets whether they are for adults or children costs $40.
The second equation represents that x = adult and y = children tickets both add up to equal $40.
For this problem, I think there is no need for the details of 12 inches width and 4 inches length. This is because an equation is already given. It was clearly specified that A as a function of θ represents the area of the opening. Then, we are asked to find exactly that: the area of opening. Moreover, the value of θ was also given. Therefore, I am quite sure that the initial details given are for the purpose of red herring only.
So, all we have to do is substitute θ=45° to the function given.
A = 16 sin 45° ⋅ (cos 45° + 1)
The angle 45° is a special angle in trigonometry. So, it would be easy to remember trigonometric functions of this angle. Sine of 45° is equal to √2/2 while cosine of 45° is also √2/2.
A = 16(√2/2) ⋅ (√2/2 + 1)
A = 8+8√2
A = 19.31 square inches
Answer:
Step-by-step explanation:
Check:
OK.
There are 12 different ways to organize your schedule
There are 2 English classes
There are 3 math classes
There are 3 history classes
Take 2x3x3 and you get 12
