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3 years ago

Again, it looks easy but I cannot thinkkkk

Mathematics

2 answers:

REY [17]3 years ago

5 0

For this case we have the following equation:

$5x + 1 = 4y + 3$

We must indicate an equivalent equation that allows to obtain the value of the variabale "x"

To do this, we clear x from the given equation:

We subtract 1 from both sides of the equation:

$5x = 4y + 3-1\\5x = 4y + 2$

We divide between 5 on both sides of the equation:

$x = \frac {4y + 2} {5}$

ANswer:

Option D

stealth61 [152]3 years ago

5 0

Answer:

The correct answer option is D. $x=\frac{4y+2}{5}$ .

Step-by-step explanation:

We are given the two models that represent the following equation:

$5x+1=4y+3$

We are to determine whether which of the given equations in the answer options can be used to find the value of x.

To find the equation, we will make $x$ the subject in $5x+1=4y+3$ .

$5x=4y+3-1$

$5x=4y+2$

$x = \frac { 4 y + 2 } { 5 }$

Therefore, the correct answer option is D.

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You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable estimate for the

Vesna [10]

Answer:

A sample size of at least 1,353,733 is required.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of .

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

98% confidence level

So $\alpha = 0.02$ , z is the value of Z that has a pvalue of $1 - \frac{0.02}{2} = 0.99$ , so $Z = 2.327$ .

You would like to be 98% confident that you esimate is within 0.1% of the true population proportion. How large of a sample size is required?

We need a sample size of at least n.

n is found when M = 0.001.

Since we don't have an estimate for the proportion, we use the worst case scenario, that is $\pi = 0.5$

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.001 = 2.327\sqrt{\frac{0.5*0.5}{n}}$

$0.001\sqrt{n} = 2.327*0.5$

$\sqrt{n} = \frac{2.327*0.5}{0.001}$

$(\sqrt{n})^{2} = (\frac{2.327*0.5}{0.001})^{2}$

$n = 1353732.25$

Rounding up

A sample size of at least 1,353,733 is required.

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3 years ago

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So, given any point on the graph of $f^{-1}(x)$ , you can simply swap its coordinates to get the correspondent point on the original function $f(x)$

As an example, all exponential functions pass through the point $(0,1)$ , while all the logarithmic functions pass through the point $(1,0)$

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