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3 years ago

9

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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5x-2y=-6 3x-4y = -26

snow_tiger [21]

For this case we must solve the following system of equations:

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We multiply the first equation by -2:

$-10x + 4y = 12$

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We have different signs subtracted and the sign of the major is placed:

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Now we find the value of the variable "y":

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Answer:

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3 years ago

For each sentence below, find the value of x that makes each sentence true.

vitfil [10]

<u>ANSWER</u>

1. $x=\frac{1}{2}$

2. $x=1$

<u>QUESTION 1</u>

The first sentence is $(5^{\frac{1}{5}})^5=25^x$ .

Recall that;

$(a^m)^n=a^{mn}$

We simplify the left hand side by applying this property to get;

$5^{\frac{1}{5}\times 5}=25^x$ .

$\Rightarrow 5^{1}=25^x$ .

We now rewrite the right hand side too in an index form to obtain;

$\Rightarrow 5^{1}=5^{2x}$

We now equate the exponents to get;

$\Rightarrow 1=2x$ .

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$\Rightarrow x=\frac{1}{2}$ .

<u>QUESTION 2</u>

The second sentence is $(8^{\frac{1}{3}})^2=4^x$

We simplify the left hand side first to get;

$(2^{3\times \frac{1}{3}})^2=4^x$

$2^2=4^x$

We now rewrite the left hand side too in index form to obtain;

$2^2=2^{2x}$

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$2=2x$

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$1=x$

or

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3 years ago

Using coal, steam, and _____, the fischer-tropsch procedure converts coal into a liquid fuel.

ANTONII [103]

Answer:

Using coal, steam, and <u>OXYGEN,</u> the fischer-tropsch procedure converts coal into a liquid fuel.

Step-by-step explanation:

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Converting Coal into Liquid Fuel is know as Coal liquification.

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Therefore steam is for heat and oxygen to covert coal into liquid fuel.

7 0

3 years ago

A county has a population density of 257 people per square mile. The county population is 4288. What is the area of this county?

ladessa [460]

Answer:

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Step-by-step explanation:

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5 0

2 years ago

Can someone help me again with these math work?

Evgen [1.6K]

Answer:

it look like its 4 and the 4 over 4/5 I think

7 0

3 years ago

Read 2 more answers