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1 month ago

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In politics, marketing, etc. we often want to estimate a percentage or proportion p. One calculation in statistical polling is t

he margin of error - the largest (reasonble) error that the poll could have. For example, a poll result of 72% with a margin of error of 4% indicates that p is most likely to be between 68% and 76% (72% minus 4% to 72% plus 4%). In a (made-up) poll, the proportion of people who like dark chocolate more than milk chocolate was 35% with a margin of error of 2.5%. Describe the conclusion about p using an absolute value inequality.

1 answer:

Inessa [12.5K]1 month ago

7 0

Answer:

La conclusión sobre p utilizando una desigualdad de valor absoluto es

$0.325 < p < 0.375$

Explicación paso a paso:

Según el enunciado, nos informan que

La proporción de la muestra es $\r p = 0.35$

El margen de error es $E = 0.025$

El intervalo de confianza se representa matemáticamente como

$\r p -E < p < \r p +E$

=> $0.35 - 0.025 < p < 0.35 + 0.025$

=> $0.325 < p < 0.375$

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1+4=5 2+5=12 3+6=21 8+11=?

Zina [12379]

I think the rule to follow is to multiply the first number by the second and then add the first number. For example:
in the case of the first one, 1 x 4 = 4, then 4 + 1 = 5
for the second one, 2 x 5 = 10, and then 10 + 2 = 12...
So for 8+11:
simply multiply 8 x 11 = 88, and then add 88 + 8 = 96

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18 days ago

What is the positive solution to the equation 0 = –x2 + 2x + 1? Quadratic formula: x = StartFraction negative b plus or minus St

zzz [12365]

Answer:

$1+\sqrt{2}$

Step-by-step explanation:

Consider a quadratic equation given by

$ax^2+bx+c=0$ .... (1)

The quadratic formula then is

$x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}$

The quadratic equation provided is

$0=-x^2+2x+1$

This can be expressed as

$-x^2+2x+1=0$ .... (2)

By comparing (1) and (2), we derive:

$a=-1,b=2,c=1$

Plug these values into the quadratic formula.

$x=\dfrac{-2\pm \sqrt{2^2-4(-1)(1)}}{2(-1)}$

$x=\dfrac{-2\pm \sqrt{4+4}}{-2}$

$x=\dfrac{-2\pm \sqrt{8}}{-2}$

$x=\dfrac{-2\pm 2\sqrt{2}}{-2}$

Factoring out common elements.

$x=\dfrac{-2(1\pm \sqrt{2})}{-2}$

$x=1\pm \sqrt{2}$

The two solutions are

$x=1+\sqrt{2}$ and $x=1-\sqrt{2}$

We recognize that

$\sqrt{2}=1.41$

Thus,

$1$

Consequently, root $x=1+\sqrt{2}$ is positive while $x=1-\sqrt{2}$ is negative.

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1 month ago

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Eight identical slips of paper, each containing one number from one to eight, inclusive, are mixed up inside a bag. Subset A of

PIT_PIT [12445]

Answer: The correct choice is (C) A = {1, 2, 3, 4, 5, 7, 8}.

Step-by-step explanation: We have eight identical slips of paper, each numbered from one to eight, which have been mixed inside a bag.

The sample space, S is as follows:

S = {1, 2, 3, 4, 5, 6, 7, 8}.

Subset A consists of the complement of the event where the number 6 is drawn.

Let 'B' denote the event of drawing the number 6.

Thus, B = {6}.

Since 'A' represents the complement of 'B', it will include all elements in the sample space 'S' that are not part of set 'B'.

Therefore,

A = B' = {1, 2, 3, 4, 5, 7, 8}

So, A = {1, 2, 3, 4, 5, 7, 8}.

Consequently, (C) is the correct choice.

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1 month ago

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What values of b satisfy 3(2b + 3)2 = 36?

Inessa [12570]

To determine the values of b that fulfill 3(2b+3)^2 = 36

we start with
3(2b+3)^2 = 36
Divide both sides by 3
(2b+3)^2 = 12
Next, take the square root of both sides
(2b+3)} = (+ /-) \sqrt{12} \\ 2b=(+ /-) \sqrt{12}-3

b1=\frac{\sqrt{12}}{2} -\frac{3}{2}
b1=\sqrt{3} -\frac{3}{2}

b2=\frac{-\sqrt{12}}{2} -\frac{3}{2}
b2=-\sqrt{3} -\frac{3}{2}
Thus,

the solutions for b are
b1=\sqrt{3} -\frac{3}{2}
b2=-\sqrt{3} -\frac{3}{2}

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1 month ago

Which expression is equivalent to (10x)^-3?

Inessa [12570]

(10x)^(-3)
= 1/[(10x)^3]
= 1/[10^3 * x^3]
= 1/(1000x^3)

The final result is 1/(1000x^3), and none of the given choices seem correct. (Option C would be correct if it used round brackets.)

Hope this helps~

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18 days ago

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