Answer:
- cookie: $1.25
- cupcake: $2.75
Step-by-step explanation:
Let x and y represent the cost of a cookie and a cupcake, respectively.
4x +3y = 13.25
5x +2y = 11.75 . . . . . . the system of equations
___
By Cramer's rule:
x = (3(11.75) -2(13.25))/(3(5) -2(4)) = 8.75/7 = 1.25
y = (13.25(5) -11.75(4))/7 = 19.25/7 = 2.75
The cost of one cookie is $1.25; the cost of one cupcake is $2.75.
_____
Cramer's rule gives the solution to the system of equations ...
ax +by =c
dx +ey = f
as ...
∆ = bd -ea
x = (bf -ec)/∆
y = (cd -fa)/∆
Answer:
Step-by-step explanation:
(y-y1)=m(x-x1)
(y-2)=-3(x-0)
y=-3x-0+2
y=-3x+2
Answer:
1) p1=0.83
2) p2=0.81
3) Option B
4) p=0.82
5) s=0.03
6) z=0.67
7) P=0.50
8) Do not reject H0
Step-by-step explanation:
1) The proportion of Republicans who think the full-body scans should be applied in airports is equal to the ratio between the republicans that think it should over the total Republicans in the poll:
2) The proportion of Democrats who think the full-body scans should be applied in airports is equal to:
3) As we want to know if there is a difference in the proportions calculated, not if one is higher or lower than the other, the correct option is B:
4) The pooled estimate of a proportion is the average of both proportions:
5) The standard error can be calculated as:
6) The z-statistic can be calculated as:
7) The P-value for z=0.67 is P=0.50 (from the standard normal distribution table).
8) If the significance level is 0.01, the P-value is bigger than the significance level. The effect is not significanct. The null hypothesis is not rejected.
There is not enough evidence to say that both proportions are different.
A. Do not reject H0
The force on the four wheeler i think is 42N because Frankie pushes with a force of 40N and Caitlin pulls with a force of 2N that means u add the two numbers together and it becomes 42N.
