Answer:
x = -5, y = 4, z = 3
Step-by-step explanation:
(1) 3x + y + 3z = -2
(2) 6x + 2y + 9z = 5
(3) -2x - y - z = 3
Step 1. Eliminate one of the variables in two of the equations
6x + 2y + 9z = 5 Subtract twice Equation (1)
6x + 2y + 6z = -4 from Equation (2)
3z = 9
z = 3
Step 2. Set up two new equations in two variables
3x + y + 9 = -2 Substitute z
-2x - y - 3 = 3 into (1) and (3)
(4) 3x + y = -11 Add Equations
(5) -2x - y = 6 (4) and (5)
x = -5
Step 3. Substitute x and z into one of the original equations
Substitute into (3)
-2(-5) - y - 3 = 3
10 - y - 3 = 3
7 - y = 3
- y = -4
y = 4
The solutions are x = -5, y = 4, z = 3.
Check:
(1) 3(-5) + 4 + 3(3) = -2
-15 + 4 + 9 = -2
-2 = -2
(2) 6(-5) + 2(4) + 9(3) = 5
-30 + 8 + 27 = 5
5 = 5
(3) -2(-5) - 4 - 3 = 3
10 - 4 - 3 = 3
3 = 3
Every time the y-value decreases by 1, the x-value increases by 2, so the slope is -1/2 throughout the line.
Answer:
this would be your answer not sure if you need to round 4.085 so pretty much the answer would be 3 because you have enough for about 4 and a half
Step-by-step explanation:
Answer: 191
Step-by-step explanation:
Formula to find the minimum sample size required to estimate a population proportion or percentage:
, where 
= proportion estimated by prior study.
E= Margin of error.
z* = Critical z-value.
Given : Confidence level = 95%
Critical value for 95% confidence = z*=1.96
E= 7%= 0.07
Then, 
Hence, the minimum sample size required=191
There are several information's of immense importance already given in the question. Based on those information's the answer to the question can be easily deduced.
In 4 hours Ashley rode a distance of = 26.5 miles
Then in 1 hour the distance that is ridden by Ashley = (26.5/4) miles
= 6.625 miles
So it can be clearly seen from the above deduction that the distance that has been ridden by Ashley in 1 hour is 6.625 miles. I hope the procedure is clear enough for you to understand. In future you can use this procedure to solve similar kind of problems without requiring any outside help.
