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Fantom [35]
3 years ago
9

Which equation represents a proportional relationship?

Mathematics
1 answer:
enot [183]3 years ago
5 0
I think the answer is number two
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The article "Measuring and Understanding the Aging of Kraft Insulating Paper in Power Transformers" (IEEE Electrical Insul. Mag.
givi [52]

Answer:

Step-by-step explanation:

Hello!

You have the data corresponding to 17 observations on the degree of polymerization for paper specimens whose viscosity times concentration fell in a certain range.

a) Boxplot attached.

Box: The 2 quantile (Me) appears to be in the middle of the box, the distance between the 1st quantile and the second quantile appears to be equal than the distance between the 2nd quantile and the 3rd quantile. The mean (black square) is greater than the 2nd quantile. In general, the distribution inside the box appears to be symmetrical (comparing just the Me<X[bar], perhaps slightly right-skewed)

Whiskers: The upper whisker is approximately twice as long as the lower whisker. There are no visible outliers in the data set.

In general, it appears as if the data set is right-skewed.

b) I would be more comfortable with a more symmetrical boxplot, but this one shows enough symmetry to be able to assume that the variable may have a normal distribution.

c) If we assume the normal distribution of the variable, you can use a student t to estimate the true value of the average degree of polymerization of paper:

[X[bar] ± t_{n-1;1-\alpha /2} * \frac{S}{\sqrt{n} }]

95% CI: t_{16;0.975}= 2.120

X[bar]= 438.29

S= 15.14

[438.29 ± 2.120 * \frac{15.14}{\sqrt{17} }]

[430.47;446.03]

With a 95% confidence level, you'd expect the interval [430.47;446.03] to include the true value of the average degree of polymerization of paper.

d) and e)

For these two items, you have to use the calculated CI in c) to decide whether or not there is significant evidence to conclude that two possible values of μ are plausible.

To decide over a hypothesis test using a CI several conditions should be met:

1) The hypothesis has to be two-tailed, and for the same parameter estimated in the interval

2) Both the CI and the Hypothesis test should have complementary levels, this means that if the CI was made using a confidence level of 1 - α= 0.95, then the test should have a significance level of α= 0.05

If these conditions are met, the decision rule is:

If the interval doesn't include the value of the parameter stated in the null hypothesis, then you reject the null hypothesis.

If the interval includes the value of the parameter stated in the null hypothesis, then you do not reject the null hypothesis.

d) μ=440?

Hypothesis:

H₀: μ = 440

H₁: μ ≠ 440

α: 0.05

95% CI: [430.47;446.03]

440 is included in the interval, the decision is to not reject the null hypothesis.

Using a 5% significance level, there is significant evidence to conclude that the population mean of the degree of polymerization of paper is 440.

e) μ=450?

H₀: μ = 450

H₁: μ ≠ 450

α: 0.05

95% CI: [430.47;446.03]

450 is not included in the interval, the decision is to reject the null hypothesis.

At a level of 5%, the decision is to reject the null hypothesis, this means that the population mean of the degree of polymerization of paper is different than 450.

I hope it helps!

3 0
3 years ago
The dance committee consisted of 8 students. The committee will select three officers at random. What is the probability that Ma
Sophie [7]
3/24
I’m guessing cause you times 3 by 8 to get 24 which is the amount of possibilities
3 0
3 years ago
Find the perimeter of the shape below and explain your process. <br> Bruh it’s 50 points.
frosja888 [35]

Answer:

The perimeter is 6x+8

Step-by-step explanation:

2(2x+3) +2(x+1)

4x+6+2x+2

6x+8

5 0
2 years ago
Read 2 more answers
Find all zeros of function and write the polynomial as a product of linear factorsX^3-x^2+9x-9
mart [117]

Answer:

\large\boxed{x=1\ \vee\ x=-3i\ \vee\ x=3i}

Step-by-step explanation:

\text{The zeros:}\\\\x^3-x^2+9x-9=0\\\\x^2(x-1)+9(x-1)=0\\\\(x-1)(x^2+9)=0\iff x-1=0\ \vee\ x^2+9=0\\\\x-1=0\qquad\text{add 1 to both sides}\\x-1+1=0+1\\\boxed{x=1}\\\\x^2+9=0\qquad\text{subtract 9 from both sides}\\x^2=-9

8 0
3 years ago
Need help asap plz &lt;3✨ PLEASE ANSWER THE QUESTION THX :)<br>​
Artemon [7]

Answer:

It equals a negative number because there's a negative and a positive which will result in a negative answer

Step-by-step explanation:

if there's a negative and a positive the result will be negative

if it's two negative result would be positive :

-1 × -1 = +1

-1 × +1 = -1

+1 × +1 = +1

-1 × -1 × -1 = -1

-1 × -1 × +1 = +1

7 0
3 years ago
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