(3x³ - 7x² + 12) - (3x³ + 6x² + 10x)
(3x³ - 3x³) + (-7x² + 6x²) - 10x + 12
-x² - 10x + 12
Let the cost of one cup of hot chocolate be = x
Let the cost of one cup of hot tea be = y
Paul paid $ 25.50 for 3 cups of hot chocolate and 4 cups of tea.
Equation becomes =
...(1)
As given, the cost of each cup of tea was 2/3 the cost of each cup of hot chocolate.
.... (2)
Putting the value of y from (2) in (1)

=
=
=
x=4.5

=
y =3
Hence each cup of hot chocolate is $4.50
Each cup of tea is $3.
D. y = 6x...subbing in (2,12)...x = 2 and y = 12
12 = 6(2)
12 = 12 (correct)
so (2,12) is a solution to : y = 6x
B. The median of the data set
**Update; A. The lower quartile**
See other answer for explanation.
Answer:
option f is right
Step-by-step explanation:
Given that data is collected to perform the following hypothesis test.

(right tailed test)
Sample mean = 5.4
p value = 0.1034
when p value = 0.1034 we normally accept null hypothesis. i.e chances of null hypothesis true is the probability of obtaining test results at least as extreme as the results actually observed during the test, assuming that the null hypothesis is correct
f) If the mean µ does not differ significantly from 5.5 (that is, if the null hypothesis is true), then the probability of obtaining a sample mean y as far or farther from 5.5 than 5.4 is .1034.
.