Answer:
x=1/2y+2
y=2x-4
Explanation:
For x-intercept:
4x-2y=8
-> subtract -2y on both sides
4x=2y+8
-> divide 4 on both sides to isolate the x
x=1/2y+2
For y-intercept:
4x-2y=8
-> subtract 4x on both sides
-2y=-4x+8
-> divide -2 on both sides to isolate the y
y=2x-4
Answer:
2: 35 and 70
Explanation:
1. The LCM of 5 and 7: <em>35</em>
2. 35 * 2 = 70
3. 35 * 3 = 105, not 2-digit
So, the only 2-digit numbers that are multiples of both 5 and 7 are 35 and 70, so 2.
The conclusion of the research is that we reject the null hypothesis and we conclude that the bag filling machine does not work correctly at the 426 gram setting.
<h3>How to solve hypothesis testing?</h3>
We are given;
Population Mean; μ = 426
Sample mean; x' = 433
Sample size; n = 13
Standard deviation; s = 29
significance level; α = 0.05
Let us define the hypotheses;
Null Hypothesis; H₀: μ = 426 g
Alternative Hypothesis; H_a: μ < 426 g
Formula for the z-score here is;
z = (x' - μ)/(s/√n)
z = (433 - 426)/(29/√13)
z = 0.87
From online p-value from z-score calculator, we have;
p-value = 0.1922
This p-value is greater than the significance value and as such we reject the null hypothesis and we conclude that the bag filling machine does not work correctly at the 426 gram setting.
Read more about Hypothesis testing at; brainly.com/question/15980493
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