Answer:
3 plus 4. and 2 plus 1. or 4 plus 3 or 1 plus 2
Step-by-step explanation:
For the answer to the question above,
1. If we let x as the side of the square cut-out, the formula for the capacity (volume) of the food dish is:
V = (12 - 2x)(8 - 2x)(x)
V = 96x - 40x^2 + 4x^3
To find the zeros, we equate the equation to 0, so, the values of x that would result to zero would be:
x = 0, 6, 4
2. To get the value of x to obtain the maximum capacity, we differentiate the equation, equate it to zero, and solve for x.
dV/dx = 96 - 80x + 12x^2 = 0
x = 5.10, 1.57
The value of x that would give the maximum capacity is x = 1.57
3. If the volume of the box is 12, then the value of x can be solved using:
12 = 96x - 40x^2 + 4x^3
x = 0.13, 6.22, 3.65
The permissible value of x is 0.13 and 3.65
4. Increasing the cutout of the box increases the volume until its dimension reaches 1.57. After that, the value of the volume decreases it reaches 4.
5. V = (q -2x) (p - 2x) (x)
The valid prediction for the mean of the population possible using these samples is C. Yes, the variation of the sample means is small
<h3>What is a sample mean?</h3>
It should be noted that a sample mean is an average of a set of data . Also, the sample mean can be used to calculate the standard deviation, central tendency, and the variance of a data set.
The sample mean can be applied to a variety of uses, including calculating population averages.
Here, the sample variance is a measure of the degree to which the numbers in a list are spread out. Here, the numbers given are close to each other.
If the numbers in a list are all close to the expected values, the variance will be small and if they are far away, the variance will be large.
Therefore, the correct option is C.
Learn more about mean on:
brainly.com/question/1136789
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I think the domain and range are infinite
Answer:
It would be great if you would provide the image itself. I will totally answer your question.
