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3 years ago

How many elements are in the set {x | x is an even prime number, xless than100}?

Mathematics

1 answer:

maxonik [38]3 years ago

8 0

The answer is obviously {2}since there are NO EVEN PRIME NUMBERS, except for 2. So,there is only 1 element.

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What is the original size of the Amazon rainforest

aliya0001 [1]

Answer:mazon Rainforest, large tropical rainforest occupying the drainage basin of the Amazon River and its tributaries in northern South America and covering an area of 2,300,000 square miles (6,000,000 square km

Step-by-step explanation:

5 0

3 years ago

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Use cylindrical coordinates to calculate the volume above the xy-plane outside the cone z^2 = x^2 + y^2 and inside the cylinder

olchik [2.2K]

Answer:

volume of xy-plane outside the cone = 16π/3

Step-by-step explanation:

using cylindrical coordinates

z² = x² +y² =====>z²=r²=====>z=r

x² + y² =4 ====>r = 2

So, the volume ∫∫∫dV equal

∫(θ = 0 to 2π) ∫(r = 0 to 2) ∫z=0 to r) 1 x (r dz dr dθ) via cylindrical coordinates

= ∫(θ = 0 to 2π) ∫(r = 0 to 2) r² dr dθ

= ∫(θ = 0 to 2π) (1/3)r³ {for r = 0 to 2} dθ

= 2π x 8/3

= 16π/3

4 0

3 years ago

Assume a recent sociological report states that university students drink 4.10 alcoholic drinks per week on average, with a stan

yulyashka [42]

Answer:

4.10

0.17

Step-by-step explanation:

From the question, we know that

A recent sociological report stated that university students drink 4.10 alcoholic drinks per week on average, with a standard deviation of 1.9101.

Also, we're tasked with finding the mean and standard deviation of the sampling distribution of the sample mean alcohol consumption.

To find the mean of the sampling distribution, we take the sample mean of the same of that university students as a direct substitute. This then means that the mean of the sampling distribution of the sample mean alcohol consumption is 4.10 alcoholic drinks per week on average.

On the other hand, the standard deviation of the sampling distribution of the sample mean alcohol consumption is taken to be the division of the standard deviation of the sample mean. Mathematically, we have

Standard Deviation, S = 1.9101 / √125

Standard Deviation, S = 1.9101 / 11.18

Standard Deviation, S = 0.17

Therefore, the Standard Deviation is 0.17

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4 years ago

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A random sample of nine walleye pike from Salty Lake gave the following weights rounded to the nearest pound.

ycow [4]

★ A random sample of nine walleye pike from Salty Lake gave the following weights rounded to the nearest pound.

3 | 4 | 11 | 6 | 5 | 7 | 6 | 2 | 4

Find the range

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Before going to the question, let's review what range is:

Range is the difference between the greatest number and the least number in a data set. Finding range is pretty easy. All you need to do is find the greatest number and lowest number, and find the difference.

In this data set, you have the following numbers:

$3 | 4 | 11 | 6 | 5 | 7 | 6 | 2 | 4$