Answer:
B < A/3
Explanation:
A: gallons of nutrient-rich water
B: quantity of bushel of flowers
The pair two numbers whose difference is 14 and the product is as small as possible (i.e. -49) are (-7,7)
<h3>What are word problems?</h3>
In mathematical concepts, word problems involve a crucial understanding of the problem and knowing which mathematical method and arithmetic operations are best suited to solving the problem.
If we assume that the smaller number should be = a and the larger number = a + 14.
Thus, their product (X) can be expressed as:
= a(a+14)
= a² + 14a
The smallest possible value implies the minimum value, i.e.

Thus,
2a + 14 = 0
a = - 14/2
a = -7
Therefore, we can conclude that the pair of two numbers whose difference is 14 and the product is as small as possible (i.e. -49) is (-7,7).
Learn more about word problems here:
brainly.com/question/21405634
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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