Answer:
8x - 12y
Step-by-step explanation:
4(2x-3y)
Distribute/multiply the 4 to everything in the parentheses
4 * 2x = 8x 4 * -3y = -12y
8x - 12y
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.
A y-intercept is the value at which x = 0.
(4,0) is not a y-intercept because x = 4.
(-1, 1) is not a y-intercept because x = -1.
(0,0) is a y-intercept because x = 0.
(0, -7) is a y-intercept because x = 0.
(-2, 2) is not a y-intercept because x = -2.
(0, -0.25 is a y-intercept because x = 0.
Answer: 312 students purchased a ticket
Step-by-step explanation:
Let x represent the number of raffle tickets sold to parents.
Let y represent the number of raffle tickets sold to students.
The school sold 371 tickets. This means that
x + y = 371
x = 371 - y
The parent tickets cost $6 each and the student tickets cost $1.50 each and the school raised a total of $822. This means that
6x + 1.5y = 822 - - - - - - - -1
Substituting x = 371 - y into equation 1, it becomes
6(371 - y) + 1.5y = 822
2226 - 6y + 1.5y = 822
- 6y + 1.5y = 822 - 2226
- 4.5y = - 1404
y = -1404/-4.5
y = 312
x = 371 - y
x = 371 - 312
x = 59
