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3 years ago

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suppose a study estimated that 78% of the residents of a town (with an error range plus/minus12 percentage points at 95% confide

nce) favor building a new community center. which of the following percentages of the towns residents may favor building a new community center

2 answers:

diamong [38]3 years ago

6 0

Answer:

<em>The percentage is between </em><em>66% to 90%</em>

Step-by-step explanation:

Confidence Interval-

A confidence interval is the range of values we are fairly sure the true value will lie in that range or interval.

Mathematically, the range of confidence interval of a sample is,

$=\text{Average}\pm \text{Margin of error}$

or

$=\overline X\pm Z\dfrac{s}{\sqrt{n}}$

where,

$\overline X$ = is the mean

Z = Z-value of confidence interval

s = standard deviation

n = number of observations

Putting the values, confidence interval will be,

$=78\pm 12\\\\=66\%\ to\ 90\%$

Therefore, any percentage value in between 66% to 90% will be the percentages of the towns residents who may favor building a new community center.

abruzzese [7]3 years ago

4 0

the Answer is 69% -Apex

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Please help!! MathsWatch, Surd Expressions, Clip 207c

dexar [7]

Answer:

$A=(72+36\sqrt{3})\ mm^2$

Step-by-step explanation:

see the attached figure with letters to better understand the problem

Let

a ----> the height of rectangle in mm

b ---> the base of rectangle in mm

step 1

Find the base of rectangle

$b=AB+BC+CD+DE$ ----> by segment addition postulate

substitute

$b=3+3+3+3=12\ mm$

step 2

Find the height of rectangle

$a=FB+CG+GH$ ---> by segment addition postulate

substitute the given values

$a=3+CG+3\\a=6+CG$

Find the length sides CG

Applying the Pythagorean Theorem

$BG^2=BC^2+CG^2$

substitute the given values

$6^2=3^2+CG^2$

$CG^2=6^2-3^2$

$CG=\sqrt{27}\ mm$

simplify

$CG=3\sqrt{3}\ mm$

therefore

$a=(6+3\sqrt{3})\ mm$

step 3

Find the area of rectangle

$A=ab$

we have

$a=(6+3\sqrt{3})\ mm$

$b=12\ mm$

substitute

$A=(6+3\sqrt{3})(12)=(72+36\sqrt{3})\ mm^2$

8 0

3 years ago

How many radians does the minute hand of a clock rotate through over half an hour? How many degrees?

Ivanshal [37]

Answer:

So minute hand will rotate $\pi radian$ in half an hour

Step-by-step explanation:

In one hour minute hand of clock rotate about 360°

So in half an hour minute hand clock rotate $\frac{360}{2}=180^{\circ}$

We have to find how many minute hand rotate in radian

For conversion of degree to radian we have to multiply with $\frac{\pi }{180}$

So $180^{\circ}=180\times \frac{\pi}{180 }=\pi radian$

So minute hand will rotate $\pi radian$ in half an hour

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3 years ago

Which table represents a linear function?

Delvig [45]

Answer:

I would go with the first one.

Step-by-step explanation:

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6 0

3 years ago

Identify the conclusion in a hypothesis test of the following claim and sample data:

Anarel [89]

Answer:

C

Step-by-step explanation:

Firstly, we set up the null and alternative hypothesis as follows;

The null hypothesis is;

H0: μ ≥ 12

The alternative hypothesis is;

Ha : μ < 12

Next step is to calculate the test statistic z

Mathematically;

z = (x - μ )/ σ /√n

= (11.58 - 12) /1.93/√(80

Test statistic z = -1.92

Now we proceed to find the probability value that is equal to the value of the test statistic. We can find this by using the standard normal table or NORMSTD function on excel

P(z < -1.92) = 0.0274

P-value = 0.0274

alpha = 0.05

From the above, we can see that

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3 years ago

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Kisachek [45]

Answer:

C

Step-by-step explanation:

Supplementary angles because their sum is 180 degrees

4 0

2 years ago

Read 2 more answers