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3 years ago

Please answer this if you solve it correctly! Thanks (:

Mathematics

1 answer:

OlgaM077 [116]3 years ago

5 0

Hey!

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Solution:

$= x^2 + 3 / x - 1$

$= x^2 + \frac{3}{x} - 1$

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Answer:

$= \frac{x^3 - x + 3}{x}$

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Hope This Helped! Good Luck!

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A politician estimates that 61% of his constituents will vote for him in the coming election. How many constituents are required

Katyanochek1 [597]

Using the z-distribution, as we are working with a proportion, it is found that 1016 constituents are required.

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

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

In which:

$\pi$ is the sample proportion.

z is the critical value.

n is the sample size.

The margin of error is given by:

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

In this problem, we have a 95% confidence level, hence $\alpha = 0.95$ , z is the value of Z that has a p-value of $\frac{1+0.95}{2} = 0.975$ , so the critical value is z = 1.96.

The estimate is of $\pi = 0.61$ , while the margin of error is of M = 0.03, hence solving for n we find the minimum sample size.

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

$0.03 = 1.96\sqrt{\frac{0.61(0.39)}{n}}$

$0.03\sqrt{n} = 1.96\sqrt{0.61(0.39)}$

$\sqrt{n} = \frac{1.96\sqrt{0.61(0.39)}}{0.03}$

$(\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.61(0.39)}}{0.03}\right)^2$

$n = 1015.5$

Rounding up, 1016 constituents are required.

More can be learned about the z-distribution at brainly.com/question/25890103

8 0

2 years ago

X/5 - 12 = -8 x=? what

lutik1710 [3]

X = 20

If you multiply both sides by 5 to get rid of the fraction ( x - 60 = -40 ) the answer would become clear.

4 0

3 years ago

Factor the quadratic expression completely.<br> -3x^2 + 17x - 20

Luba_88 [7]

Answer- -(x-4)(3x-5)

Work- -3x^2+12x+5x-20
-3x(x-4)+5(x-4)

7 0

3 years ago

Answer the statistical measures and create a box and whiskers plot for the following set of data.

suter [353]

Answer:

Minimum = 5

Lower Quartile (Q1) = 6

Median = 9

Upper Quartile (Q3) = 12

Maximum = 15

4 0

3 years ago

Translate the phrase into an algebraic expression.

adell [148]

Answer:

8 + $\frac{5}{w}$

Step-by-step explanation:

From the phrase, the <em>answer</em> is smaller(less) by 8 when compared(equal (=)) to quotient of 5 and w ...

So:

Answer - 8 = quotient of 5 and w

Here, quotient is the whole number from a <em>division</em>. The division here is $\frac{5}{w}$

Therefore,

Answer - 8 = $\frac{5}{w}$

Answer = 8 + $\frac{5}{w}$

Hence the phrase into algebraic expression is 8 + $\frac{5}{w}$

4 0

4 years ago