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2 years ago

For the inverse variation equation P=8/V, what is the value of V when P = 1/2?

Mathematics

2 answers:

Sunny_sXe [5.5K]2 years ago

8 0

Answer:

Option D

$V=16$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form $y*x=k$ or $y=k/x$

In this problem we have

$P=8/V$

For $P=1/2$

substitute in the equation

$(1/2)=8/V$

Solve for V

Multiply by $2$ both sides

$1=\frac{16}{V}$

Multiply by $V$ both sides

$V=16$

postnew [5]2 years ago

4 0

P = 8/v
1/2 = 8/v
multiply v on both sides
1/2 v = 8
multiply 2/1 on both sides (the reciprocal of (1/2)
v = 16
Letter D

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Step-by-step explanation:

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Answer:

Time = approximately mid 2012
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Step-by-step explanation:

<h3><em>Unclear part of the question</em></h3>

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<h3>Solution</h3>

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<em>The vertex of a quadratic function is found by a formula: x = -b/2a</em>

<u>As per given function:</u>

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2 years ago

In March 2015, the Public Policy Institute of California (PPIC) surveyed 7525 likely voters living in California. In the survey,

balandron [24]

Answer:

$(\hat p_A -\hat p_B) \pm z_{\alpha/2} \sqrt{\frac{\hat p_A(1-\hat p_A)}{n_A} +\frac{\hat p_B (1-\hat p_B)}{n_B}}$

And for this case the confidence interval is given by: (0.275, 0.305)

We can estimate the proportion difference as:

$\hat p_D = \frac{0.275+0.305}{2}=0.29$

And the margin of error would be:

$ME=0.305-0.29=0.015$

So then for this case the possibl two options are:

We are 95% confident that the true difference in proportion of Latinos who view global warming as a serious problem and whites who view global warming as a serious problem is 27.5% to 30.5%.

We are 95% confident that the difference between Latino and white opinions about the severity of global warming is 29% with a margin of error of 1.5%.

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$p_A$ represent the real population proportion of Latinos who view global warming as a serious problem

$\hat p_A=0.75$ represent the estimated proportion Latinos who view global warming as a serious problem

$n_A$ is the sample size required of Latinos who view global warming as a serious problem

$p_B$ represent the real population proportion of white who view global warming as a serious problem

$\hat p_B =0.46$ represent the estimated proportion of whitewho view global warming as a serious problem

$n_B$ is the sample size required of white

$z$ represent the critical value for the margin of error

Solution to the problem

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

The confidence interval for the difference of two proportions would be given by this formula

$(\hat p_A -\hat p_B) \pm z_{\alpha/2} \sqrt{\frac{\hat p_A(1-\hat p_A)}{n_A} +\frac{\hat p_B (1-\hat p_B)}{n_B}}$

And for this case the confidence interval is given by: (0.275, 0.305)

We can estimate the proportion difference as:

$\hat p_D = \frac{0.275+0.305}{2}=0.29$

And the margin of error would be:

$ME=0.305-0.29=0.015$

So then for this case the possibl two options are:

We are 95% confident that the true difference in proportion of Latinos who view global warming as a serious problem and whites who view global warming as a serious problem is 27.5% to 30.5%.

We are 95% confident that the difference between Latino and white opinions about the severity of global warming is 29% with a margin of error of 1.5%.

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Answer:

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Similarly if the car runs 48 kilometers in 4 liters of gas then per liter distance covered by the gas will be = $\frac{48}{4}=12$ kilometers

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Therefore, with 11 liters of gas Patricia can run 132 kilometers.

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2 years ago

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AlladinOne [14]

Answer:

A. 9.85 inches

Step-by-step explanation:

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The total amount of rainfall in the desert that year was: 0.4 + 2*0.5 + 0.6 + 2*0.85 + 0.95 + 2*1.0 + 2*1.05 + 1.1 = 9.85 inches

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