We can conclude that Donald is the shortest friend.
<h3>
Who is the shortest?</h3>
This is a logical question, first, we know that the tallest friend will be on the left side, so we assume that the left position can be discarded, so we need to find who is in the right position.
Barry is not in the center and is not the youngest, so Barry is the tallest friend.
Donald is not in the center, and we know that the youngest must be on the right of Adam. So the only position left for Donald is the right one.
Then, we can conclude that Adam must be on the center and Donald on the right extreme. Then Donald is the youngest and shortest friend.
If you want to learn more about logic, you can read:
brainly.com/question/540969
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 graph of the function is plotted below
<h3 /><h3>Graphs and functions</h3>
Graph of functions is plotted on the xy-plane. The graph can be a curve or a line depending on the nature of the function.
<h3>Linear and polynomial graphs</h3>
Most linear equations are represented by a straight line while curves can be an exponential or polynomial function.
According to the question, we are to plot the function 
. The equivalent graph of the function is as shown in the attachment.
Learn more on graphs here: brainly.com/question/4291574
