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faust18 [17]
3 years ago
11

An online presented this question "Would the recent norovirus outbreak deter you from takind a cruise?". Among the 34,271 people

who responded, 62% answered "Yes". Use the sample data to construct a 95% confidence interval estimate for the proportion of the population of all the people who would respond yes to that question. Does the confidence interval provide a good estimate of the population proportion?
Mathematics
1 answer:
umka2103 [35]3 years ago
3 0
95% C.I. = 0.62 + or - 1.96 * sqrt[0.62(1 - 0.62)/34,271] = 0.62 + or - sqrt(6.875 x 10^-6) = 0.62 + or - 0.002622 = 0.62 - 0.002622 to 0.62 + 0.002622 = 0.6174 to 0.6226 = 61.74% to 62.26%.
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If a segment has an endpoint at (3, 2) and the midpoint at (-1, 2), what are the coordinates of the other endpoint?
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The other endpoint would have to be (-5,2), going off the definition of a midpoint. Since 3 is for units to the right of -1, that would mean that the other end point would have to be 4 units to the left, which is -5.
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In a research laboratory, a scientist measures the mass of a 1-carat diamond and finds it to be 200 milligrams, measured to the
vlada-n [284]

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D=3.5\ gr/cm^3

Step-by-step explanation:

<u>Density</u>

The density of an object of mass m and volume V is given by

\displaystyle D=\frac{m}{V}

It can be expressed in common units like gr/lt, Kg/m^3, gr/cm^3 or any other combination of proper mass [M] by volume [V] units.

The data provided in the question is

m=200\ mg = 0.2\ gr

V=0.057\ cm^3

Thus, the measured density is

\displaystyle D=\frac{0.2\ gr}{0.057 \ cm^3}

\boxed{D=3.5\ gr/cm^3}

We have expressed the result with 1 decimal place because the mass was measured to the nearest hundred milligrams (or one-tenth grams). Any further decimal is senseless because that precision comes from calculations, not from measurements.

6 0
3 years ago
A. What is the volume, in cubic feet, of the box in the diagram?
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Volume is a three-dimensional scalar quantity. The number of boxes that can fit in the cargo hold of the truck is 54.

<h3>What is volume?</h3>

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

The volume of the box = Volume of the cube = a³ = (2.50)³ = 15.625 ft³

The volume of cargo hold = 7.50 × 7.50 × 15 = 843.75 ft³

Now, the number of boxes that can fit in the cargo hold of the truck will be,

Number of boxes = (Volume of truck container)/(Volume of box)

                              = 843.75/15.625

                              = 54

Hence, the number of boxes that can fit in the cargo hold of the truck is 54.

Learn more about Volume:

brainly.com/question/13338592

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