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Brrunno [24]
3 years ago
13

2x=10y Determine the constant of proportionality. Assume that y represents all of the outputs and x represents the inputs

Mathematics
1 answer:
Art [367]3 years ago
3 0

Answer:

a = 0.2

Step-by-step explanation:

Let y = ax be a linear equation, where x is the input variable and y is the output variable, then "a" is the proportionality constant between x and y.

To find the proportionality constant of the given equation, we must take it to the form y = ax.

We have:

2x = 10y

We divide both sides of the equation by 10.

0.2x = y

y = 0.2x.

Then the constant of proportionality is:

a = 0.2

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Answer: f^{-1}(x) = \frac{\sqrt[3]{x^{2}}}{x}

<u>Step-by-step explanation:</u>

y = \frac{1}{x^{3}}

Inverse is when you swap the x's and y's and then solve for "y":

x = \frac{1}{y^{3}}

y^{3} = \frac{1}{x}

y = \frac{1}{\sqrt[3]{x}}

y = \frac{1}{\sqrt[3]{x}}*(\frac{\sqrt[3]{x}}{\sqrt[3]{x}})^{2}

y = \frac{\sqrt[3]{x^{2}}}{x}

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3 years ago
Given the information below, write the conclusion in context. 1. H0 : The proportion of defective batteries = 0.02 2. HA : The p
Marizza181 [45]

Answer:

z = -1.23

And we can calculate the p value with the following probability taking in count the alternative hypothesis:

p_v = P(z

And for this case using a significance level of \alpha=0.05 ,0.1 we see that the p value is larger than the significance level so then we can conclude that we FAIL to reject the null hypothesis and we don't have enough  evidence to conclude that the true proportion is less than 0.02

Step-by-step explanation:

For this case we want to test the following system of hypothesis:

Null hypothesis: p =0.02

Alternative hypothesis: p < 0.02

The statistic for this case is given by:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

And for this case we know that the statistic is given by:

z = -1.23

And we can calculate the p value with the following probability taking in count the alternative hypothesis:

p_v = P(z

And for this case using a significance level of \alpha=0.05 ,0.1 we see that the p value is larger than the significance level so then we can conclude that we FAIL to reject the null hypothesis and we don't have enough  evidence to conclude that the true proportion is less than 0.02

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Andrew was working on a project for Science class. He began working on the project at 10:32 a.m. When he finally
Amanda [17]

Answer:

3 hours 43 minutes

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Find f(2) for the function f(x) = |7x |
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▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪

let's find f (2) :

  • |7x|

  • |7 \times 2|

  • |14|

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8 0
2 years ago
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mr johnson stayed four nights at a hotel . his bill 2as $725 before the sales tax of 6% was added . how much was the sale tax?
rjkz [21]
Let us first concentrate on the information’s that are already given in the question. Based on those information’s the answer to the question can be easily found.
Bill amount for Mr. Johnson before sales tax = $725
Percentage of sales tax taken = 6%
Then
Amount of sales tax = (6/100) * 725
                                 = 4350/100 dollars
                                 = 43.5 dollars
So the amount of sales tax that had to be given is $43.5. <span>I hope the procedure for doing this problem is clear to you.
</span>


6 0
3 years ago
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