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3 years ago

-8xc = 1 solve for x

Mathematics

1 answer:

Nastasia [14]3 years ago

3 0

Answer:

[-8c]⁻¹ = x

Step-by-step explanation:

-8xc = 1

____ ___

-8c -8c

$x = - \frac{1}{8c} \\ \\ or \\ \\ x = ({ -8c})^{-1}$

This, according to the Negative Exponential Rule [Reverse], is how you write this as a rational exponent. You bring the denominator to the numerator while ALTERING THE INTEGER SYMBOL FROM POSITIVE TO NEGATIVE:

b⁻ⁿ = 1\bⁿ

I am joyous to assist you anytime.

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will the first digit of the quotient of 2,589 ÷ 4 be in the gundreds or the thousands place? explain how you can decide without

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4 years ago

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3. Using the sample size of 800 and the proportion 0.47, calculate the margin of error associated with the estimate of the propo

salantis [7]

Answer:

$ME=1.96\sqrt{\frac{0.47 (1-0.47)}{800}}=0.0346$

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".

The population proportion have the following distribution

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

Solution to the problem

We assume for this case a confidence level of 95%. 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 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by:

$z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96$

The confidence interval for the mean is given by the following formula:

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

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)

And if we replace the values obtained we got this:

$ME=1.96\sqrt{\frac{0.47 (1-0.47)}{800}}=0.0346$

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3 years ago

Please help will receive brainliest

Luden [163]

Answer:

5 m

Step-by-step explanation:

The perimeter is the sum of the lengths of the four sides. Opposite sides have the same length, so it is twice the sum of the lengths of adjacent sides.

The sum of adjacent sides is (32 m)/2 = 16 m. If one of them is 11 m long, the other is ...

16 m - 11 m = 5 m

The "missing" side is 5 m long.

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3 years ago

Prove that opposite sides of a parallelogram are congruent. Be sure to create and name the appropriate geometric figures. (10 po

iren2701 [21]

Answer:

Theorem : Opposite sides of a parallelogram are congruent or equal.

Let us suppose a parallelogram ABCD.

Given: and (According to the definition of parallelogram)

We have to prove that: AB is congruent to CD and BC is congruent to AD.

Prove: let us take two triangles, and

In these two triangles, { By the definition of alternative interior angles}

Similarly,

And, AC=AC (common segment)

By ASA,

thus By the property of congruent triangle, we can say that corresponding sides of are also congruent.

Thus, AB is congruent to CD and BC is congruent to AD.

Step-by-step explanation:

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3 years ago

Find 50% of 180 pls explain

Doss [256]

Answer:

50% of 180 is 90

Step-by-step explanation:

50% is like saying half. They want you to find half of 180, if you know 9 times 2 equals 18, then you already know the answer, all you have to do is add a 0 on the end of the 9.

Or if you're not as strong with mental math, plug into a calculator 180 times the decimal version of 50% which is .5. 180 times .5 equals 90.

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3 years ago