. 90 decimeters = ______________

Suppose that 20% of the residents in a certain state support an increase in the property tax. An opinion poll will randomly samp

zepelin [54]

Answer:

C) There is roughly a 95% chance that the resulting sample proportion will be within 0.04 of the true proportion.

Step-by-step explanation:

Given that 20% of the residents in a certain state support an increase in the property tax.

Sample size = 400

We want the sample proportion to be within 0.04 of the true proportion (i.e., between 0.16 and 0.24)

i.e. margin of error <0.04

Std error of sample = $\sqrt{\frac{pq}{n} } =\sqrt{\frac{0.2(0.8)}{400} } \\=0.02$

Critical value = margin of error/ std error = $\frac{0.04}{0.02} \\=2$

We know z value for 95% two tailed roughly equals 2.

Hence 95% confidence is right.

C) There is roughly a 95% chance that the resulting sample proportion will be within 0.04 of the true proportion.

6 0

3 years ago

Plz help as soon as possible!

kvasek [131]

Answer:

not a function

Step-by-step explanation:

7 0

3 years ago

Write the equation of a line perpendicular to y=-12x+2 going through (0,-1)

DanielleElmas [232]

$\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}$

<em>Write the equation of a line perpendicular to y=-12x+2 going </em>

<em> through (0, -1)</em>

<em />

<em> </em> $\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}$

First, let's take a look at our provided information:-

A line $\text{y=-12x+2}$
A point (0, -1)
The line $\text{y=-12x+2}$ is perpendicular to the line that goes through (0, -1)

If two lines are perpendicular to each other, their slopes are opposite reciprocals of each other.

So we take the slope of the given line, which is -12, change its sign from minus to plus:-

$\Large\textit{12}$

And now, We flip the number over:-

$\Large\text{$\displaystyle\frac{1}{12}$}$

Now that we've found the slope of the line, let's find its equation.

The first step is to write it in point-slope form as follows:-

$\longmapsto\sf{y-y_1=m(x-x_1)}$

Replace letters with numbers,

$\longmapsto\sf{y-(-1)=\displaystyle\frac{1}{12}(x-0)}$

On simplification,

$\longmapsto\sf{y+1=\displaystyle\frac{1}{12} (x-0)}$

On further simplification,

$\longmapsto\sf{y+1=\displaystyle\frac{1}{12} x}$

Subtracting 1 on both sides,

$\longmapsto\sf{y=\displaystyle\frac{1}{12} x-1}$

$\Uparrow\texttt{Our equation in slope-intercept form}$

<h3>Good luck with your studies.</h3>

#TogetherWeGoFar

$\rule{300}{1}$

5 0

2 years ago

What letter stays the same when reflected over the x-axis

valina [46]

When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is transformed into its opposite (its sign is changed). If you forget the rules for reflections when graphing, simply fold your paper along the x-axis (the line of reflection) to see where the new figure will be located.p explanation:

6 0

3 years ago

Can someone explain what these types of arrows mean please?

Yakvenalex [24]

I think it means grater or less ? Or positive or negative?

8 0

3 years ago

. 90 decimeters = _______________ millimeters