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matrenka [14]
3 years ago
15

What is the difference between surface area and volume? formulas please!

Mathematics
2 answers:
Nastasia [14]3 years ago
3 0
Surface area is the combined areas of all the sides of the shape and volume is the area within the shape

for example if you had a box filled with water the area of the box is the surface area and the amount of water would represent the volume
Masteriza [31]3 years ago
3 0
Surface area is a quantity of measurement associated with 2 dimensional shapes.
Example:  Area of Rectangle = Length * breadth
                   Area of triangle      = (1/2) * base* height.
While:
Volume is a quantity of measurement associated with 3 dimensional solid shapes.
Example:  Volume of Cuboid = Length * breadth * height
                   Volume of sphere      = (4/3) * Pi* r^3.

We can see that Area is 2 dimensional while volume is 3 dimensional.

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(2/3)^x-1=27/8, Find x​
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4 0
3 years ago
At a university, 60% of the 7,400 students are female. The student newspaper reports the results of a survey of a random sample
omeli [17]

Given Information:

Population mean = p  = 60% = 0.60

Population size = N = 7400

Sample size = n = 50

Required Information:

Sample mean = μ = ?

standard deviation = σ = ?

Answer:

Sample mean = μ = 0.60

standard deviation = σ = 0.069

Step-by-step explanation:

We know from the central limit theorem, the sampling distribution is approximately normal as long as the expected number of successes and failures are equal or greater than 10

np ≥ 10

50*0.60 ≥ 10

30 ≥ 10 (satisfied)

n(1 - p) ≥ 10

50(1 - 0.60) ≥ 10

50(0.40) ≥ 10

20 ≥ 10  (satisfied)

The mean of the sampling distribution will be same as population mean that is

Sample mean = p = μ = 0.60

The standard deviation for this sampling distribution is given by

\sigma = \sqrt{\frac{p(1-p)}{n} }

Where p is the population mean that is proportion of female students and n is the sample size.

\sigma = \sqrt{\frac{0.60(1-0.60)}{50} }\\\\\sigma = \sqrt{\frac{0.60(0.40)}{50} }\\\\\sigma = \sqrt{\frac{0.24}{50} }\\\\\sigma = \sqrt{0.0048} }\\\\\sigma =  0.069

Therefore, the standard deviation of the sampling distribution is 0.069.

4 0
3 years ago
at the pet fair, Darlene's dog weighed 5 times as much as leah's dog. Together, the dogs weighed 84 pounds. how much did each do
Alex
Let x = Darlene's dog's weightlet y = Leah's dog's weight x = 5yx + y = 84 so, 5y + y = 84, which means 6y = 84   so, y = 84/6 = 14x = 5(14) = 70    Darlene's dog = 70 lbs, Leah's dog = 14 lbs.<span> </span>
4 0
3 years ago
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