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vivado [14]
3 years ago
14

Multiple samples of students were asked four questions , with the sampling variablility of their answers to question 3 being the

highest . Question 2 had the second highest sampling variability, question 1 came next , and finally question 4 had the lowest sampling variability, the answers to which of the questions are most reliable?
Mathematics
1 answer:
OleMash [197]3 years ago
3 0

Answer:

Question 1

Step-by-step explanation

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consider the function and then use calculus to answer the questions that follow 1 1/x 5/x^2 1/x^3 (a) Find the interval(s) where
boyakko [2]

Answer:

a)X=((-15-\sqrt{201},(-15+\sqrt{201}),(0,\infty)

b)Y=(\infty,\frac{1}{2}(-15-\sqrt{201} ) ),(\frac{1}{2}()-15+\sqrt{201)},0  )

Step-by-step explanation:

From the question we are told that

The Function

f(x)=1+\frac{1}{x}  +\frac{5}{x^2} +\frac{1}{x^3}

Generally the differentiation of function f(x) is mathematically solved as

f(x)=1+\frac{1}{x}  +\frac{5}{x^2} +\frac{1}{x^3}

f(x)=\frac{x^3+x^2+5x+1}{x^2}

Therefore

f'(x)=\frac{x^2+10x+3}{x^4}

Generally critical point is given as

f'(x)=0

\frac{x^2+10x+3}{x^4}=0

x=-5 \pm\sqrt{22}

Generally the maximum and minimum x value for critical point is mathematically solved as

f'(-5 \pm\sqrt{22})

Where

Maximum value of x

f'(-5 +\sqrt{22})

Minimum value of x

f'(-5 +\sqrt{22})

Therefore interval of increase is mathematically given by

f'(-5 -\sqrt{22}),f'(-5 +\sqrt{22})

f(x)

Therefore interval of decrease is mathematically given by

(-\infty,-5 -\sqrt{22}),f'(-5 +\sqrt{22},0),(0,\infty)

Generally the second differentiation of function f(x) is mathematically solved as

f''(x)=\frac{2(x^2+15x+6)}{x^5}

Generally the point of inflection is mathematically solved as

f''(x)=0

x^2+15x+6=0

Therefore inflection points is given as

x=\frac{1}{2} (-15 \pm \sqrt{201}

f''(x)>0,\frac{1}{2}(-15-\sqrt{201})

a)Generally the concave upward interval X is mathematically given as

X=((-15-\sqrt{201},(-15+\sqrt{201}),(0,\infty)

f''(x)

b)Generally the concave downward interval Y is mathematically given as

Y=(\infty,\frac{1}{2}(-15-\sqrt{201} ) ),(\frac{1}{2}()-15+\sqrt{201)},0  )

5 0
2 years ago
James is 60 years old. His age is 8 years more than twice Maggie's age. How old is Maggie?
kow [346]

Answer:26

Step-by-step explanation:

60-8=52

52•2=26

4 0
3 years ago
Read 2 more answers
Lauren has 43 flowers she has 16 fewer flowers than gabriel how many flower does gabriel have
WARRIOR [948]

Answer:

Step-by-step explanation:

Gabrielhs 59 flowers because 43 + 16= 59.

7 0
3 years ago
Read 2 more answers
In a box and whisker plot, can the upper quartile also be the greatest value? Explain
Luda [366]

Answer:

No

Step-by-step explanation:

The upper Quartile is also known as the third quartile. And the greatest value is at the far right of the plot I placed an image below

3 0
3 years ago
The following two triangles are similar. Find x.
Kruka [31]

Answer and Step-by-step explanation:

Since we know that the triangles are similar, we can find the value of x. It appears that the lighter triangle is dilated to be smaller than the darker triangle.

So, We would divide 45 by 9 to find the scale factor.

45 divided by 9 is 5.

Now, we divide 25 by this to find x.

25 divided by 5 is 5.

<u>x is equal to 5.</u>

<u></u>

<u><em>#teamtrees #PAW (Plant And Water)</em></u>

4 0
2 years ago
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