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3 years ago

Probability of Rolling a 5 on a 6 sided die

Mathematics

2 answers:

andre [41]3 years ago

8 0

Answer:

1/6

Step-by-step explanation:

Since there are 6 sides, rolling 1 of the numbers on the die will be a 1 out of 6 chance.

STALIN [3.7K]3 years ago

4 0

Answer:

1/6 is the probability of rolling on 5

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× + 3/ 2 = × + 8/ 7<br> Solve for x

Illusion [34]

Answer:

depending on the form of how your question is actually written .. The answer will either be :

x= -1

There are no values of x that make the equation true. No solution.

Step-by-step explanation:

Hope this helps

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2 years ago

Evaluate the line integral using the fundamental theorem of line integrals. use a computer algebra system to verify your results

mario62 [17]

$\dfrac{\partial f}{\partial x}=\cos x\sin y\implies f(x,y)=\sin x\sin y+g(y)$

$\dfrac{\partial f}{\partial y}=\sin x\cos y=\sin x\cos y+\dfrac{\mathrm dg}{\mathrm dy}$
$\implies\dfrac{\mathrm dg}{\mathrm dy}=0\implies g(y)=C$

$f(x,y)=\sin x\sin y+C$

$\displaystyle\int_{\mathcal C}\cos x\sin y\,\mathrm dx+\sin x\cos y\,\mathrm dy=\int_{\mathcal C}\mathbf f\cdot\mathrm d\mathbf r=f\left(\frac{3\pi}2,\frac\pi2\right)-f(0,-\pi)=-1$

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2 years ago

When do we say that the computed solution or root of a quadratic equation is<br>extraneous?<br><br>

scoray [572]

Answer:

raising both sides of the equation to a certain power in order to eliminate radicals may result in the creation of extraneous roots

Step-by-step explanation:

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2 years ago

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

pogonyaev

Answer:

$n=\frac{0.5(1-0.5)}{(\frac{0.025}{1.28})^2}=655.36$

And rounded up we have that n=656

Step-by-step explanation:

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 80% of confidence, our significance level would be given by $\alpha=1-0.80=0.20$ and $\alpha/2 =0.10$ . And the critical value would be given by:

$z_{\alpha/2}=\pm 1.28$

Solution to the problem

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

Since we don't have prior info for the proportion of interest we can use $\hat p=0.5$ as estimator. And on this case we have that $ME =\pm 0.025$ and we are interested in order to find the value of n, if we solve n from equation (a) we got: