Answer: A=12
Explanation:
4.5
The amount of chemical remaining after twelve seconds in the first reaction is:
A = 12 - 0.5(12)
= 12 - (6)
= 6
In the dissolved reaction, the amount of chemical loses half of itself every four seconds. This is the same thing as dividing by 2 every four seconds.
This is an exponential decay, so the amount of chemical divides by 4 every eight seconds, and by 8 seconds every twelve seconds. The amount remaining after twelve seconds in the second reaction is:
A' = 12/8
= 3/2
= 1.5
The difference between the amounts of chemical remaining is:
6 - 1.5 = 4.5
Therefore, A is 4.5 g greater than A' after twelve seconds.
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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The right answer is : Octopus’s ability to squirt ink
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