Answer:
(8.5, - 2 )
Step-by-step explanation:
Given the 2 equations
6x + 4y = 43 → (1)
2x - 3y = 23 → (2)
Multiplying (2) by - 3 and adding to (1) will eliminate the term in x
- 6x + 9y = - 69 → (3)
Add (1) and (3) term by term to eliminate x, that is
13y = - 26 ( divide both sides by 13 )
y = - 2
Substitute y = - 2 in either of the 2 equations and solve for x
Substituting into (1)
6x + 4(- 2) = 43
6x - 8 = 43 ( add 8 to both sides )
6x = 51 ( divide both sides by 6 )
x = 8.5
Solution is (8.5, - 2 )
Answer:
4
Step-by-step explanation:
It should be 34/5*. If you create an improper fraction out of the original one, then creating the reciprocal will be easier.
Answer: a. N(0.92, 0.0215)
Step-by-step explanation:
For population proportion (p) and sample size n, the mean and standard deviation is given by :-
The sampling distribution model for p is given by :_

, where

We assume that the seeds are randomly selected.
Given : Information on a packet of seeds claims that the germination rate is 92%.
i.e. p= 0.92
The packet contains 160 seeds.
i.e. n= 160
Then , 
Hence, the sampling distribution model for p is:

Answer:
y = -2x + 2
Step-by-step explanation:
(-4-8)/(3-(-3)) = -12/6 = -2
-4 = -2(3) + b
-4 = -6 + b
b = 2