Answer:
1. (2,3)
2. (7,-2)
3. (-4,-1)
4. No solutions
Step-by-step explanation:
Solve using substitution or elimination.
Answer:
There is a significant difference between the two proportions.
Step-by-step explanation:
The (1 - <em>α</em>)% confidence interval for difference between population proportions is:

Compute the sample proportions as follows:

The critical value of <em>z</em> for 90% confidence interval is:

Compute a 90% confidence interval for the difference between the proportions of women in these two fields of engineering as follows:


There will be no difference between the two proportions if the 90% confidence interval consists of 0.
But the 90% confidence interval does not consists of 0.
Thus, there is a significant difference between the two proportions.
Answer:
720 possible orders
Step-by-step explanation:
To order 6 people in a line, let's imagine them as 6 possible spaces:
( )( )( )( )( )( )
Going from left to right, let's start with space 1.
There are 6 possibilities for space 1 as any of the 6 people could occupy that space in the line.
(6)( )( )( )( )( )
Next, since one person will have already occupied space 1, there are only 5 people left who can occupy space 2, so there are 5 possibilities for space 2:
(6)(5)( )( )( )( )
Continuing in this fashion, there are now only 4 people left so 4 possibilities for space 3 and etc.
(6)(5)(4)(3)(2)(1)
This means we have 6,5,4,3,2 and 1 possibilities for each space respectively.
Multiply them together and we have:
6x5x4x3x2x1 = 720 possible orders.
Hope this helped!