Answer: 8n-5
Step-by-step explanation:
Based on the information provided, the statement which is a valid conclusion is only: option A.
<h3>What is a
valid conclusion?</h3>
A valid conclusion can be defined as a statement that is essentially based on empirical data, formulated hypotheses, facts, and prudent experimental design, which entails that relationship between data variables are reasonable, credible and valid.
Based on the information provided, the statement which is a valid conclusion is that the botanist can make inferences for all plants, and he can draw his conclusion that the fertilizer would help all plants grow taller.
Read more on valid conclusion here: brainly.com/question/892663
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Given is a piecewise function which follows different expressions according the the value of input x.
Given 
It says to find f(-4) i.e. the value of function f(x) at x = -4.
At point x = -4, f(x) is x³, if -5 ≤ x ≤ 2.
So, f(-4) = (-4)³
f(-4) = -4 × -4 × -4
f(-4) = -64.
Hence, option A is correct i.e. -64.
Answer:

1) 
2) 
We can find the individual probabilities and we got:



And the sum of the 3 values 0.6923+0.2307+0.0770= 1 so then we satisfy all the conditions and we can conclude that f(x) is a probability distribution.



Step-by-step explanation:
For this case we have the following density function:

In order to satisfty that this function is a probability mass function we need to check two conditions:
1) 
2) 
We can find the individual probabilities and we got:



And the sum of the 3 values 0.6923+0.2307+0.0770= 1 so then we satisfy all the conditions and we can conclude that f(x) is a probability distribution.
And if we want to find the following probabilities:



Answer: He must have atleast 98 points on the next exam in order to get an average of 92 points.
Step-by-step explanation: To calculate average, you need to add all the numbers given, and divide the sum by how many numbers there are. 87 + 89 + 94 + 98 (equals 368), and divide 368 by 4. You will get the average of 92 as its result.