-5x + 7y = 62
Fill in the blanks with your x and y coordinates
( ________, _________)
To find the solution to the system of linear equations:
4x + 6y = 20
-5x + 7y = 62
We can use the method of substitution or elimination to solve for x and y. Let's use the elimination method:
1. Multiply the first equation by 5 and the second equation by 4 to eliminate the x variable:
20x + 30y = 100
-20x + 28y = 248
2. Add the two equations together:
(20x - 20x) + (30y + 28y) = 100 + 248
58y = 348
3. Divide both sides of the equation by 58:
y = 6
4. Substitute the value of y back into either of the original equations. Let's use the first equation:
4x + 6(6) = 20
4x + 36 = 20
4x = 20 - 36
4x = -16
x = -4
Therefore, the solution to the system of linear equations is:
(x, y) = (-4, 6)
b) Is it the same as simple random sampling?
c) Is there selection bias in this method of drawing a sample?
Answer:
The answer to this question can be defined as follows:
Step-by-step explanation:
Following are the description of the given points:
(a) This is a system of probability, which possibility occurs inside an intended manner whenever they choose this specific point of origin from 1 to 100 with no one reserve the possibility about who gets throughout the survey.
(b) Its method is different from the random sampling technique with the base available. For example, two individuals whose names identical to both the list have no chance to join within the survey.
(c) its sample is objective to its everyone can enter the test in equal measure.
Answer:
4
Step-by-step explanation:
The question involves creating and solving a basic algebraic equation. Audrey needs to cycle an average of 6.4 miles each day over the next 5 days to reach her total goal of 44 miles for the week.
To solve this problem, we can establish an equation based on the information given. Audrey's goal is to ride a total of 44 miles this week and she has already ridden 12. If she rides for 5 more days, we need to determine how many miles she should cover each day to reach her goal. We denote x as the average number of miles she needs to ride each day.
The communication of her plans can be expressed through this equation: 12 miles + 5 days * x miles/day = 44 miles. Next, we need to solve the equation for x. In order to isolate x, you subtract 12 from both sides of the equation resulting in: 5x = 44 - 12, which simplifies to 5x = 32.
Finally, you divide both sides of the equation by 5 to get: x = 32 ÷ 5. So, x equals 6.4. This means that Audrey needs to cycle an average of 6.4 miles each of the coming 5 days to reach her total goal of 44 miles.
#SPJ3
Answer:
0.632
Step-by-step explanation:
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