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3 years ago

What is the approximate volume of a cone with a height of 6 mm and radius of 18 mm?

Mathematics

1 answer:

Rudik [331]3 years ago

6 0

Answer:

v = 2034.72 mm³

Step-by-step explanation:

radius = 18mm

height = 6mm

pi = 3.14

v = πr²h/3

v = 3.14 * (18mm)² x 6mm/3

v = 3.14 * 324mm² x 2mm

v = 2034.72 mm³

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El área del cuadrado que se forma sobre la hipotenusa del triángulo es...

exis [7]

Answer:

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Step-by-step explanation:

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4 0

3 years ago

Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviat

drek231 [11]

Answer:

$E(X) = \sum_{i=1}^n X_i P(X_i) = 0*0.031 +1*0.156+ 2*0.313+3*0.313+ 4*0.156+ 5*0.031 = 2.5$

We can find the second moment given by:

$E(X^2) = \sum_{i=1}^n X^2_i P(X_i) = 0^2*0.031 +1^2*0.156+ 2^2*0.313+3^2*0.313+ 4^2*0.156+ 5^2*0.031 =7.496$

And we can calculate the variance with this formula:

$Var(X) =E(X^2) -[E(X)]^2 = 7.496 -(2.5)^2 = 1.246$

And the deviation is:

$Sd(X) = \sqrt{1.246}= 1.116$

Step-by-step explanation:

For this case we have the following probability distribution given:

X 0 1 2 3 4 5

P(X) 0.031 0.156 0.313 0.313 0.156 0.031

The expected value of a random variable X is the n-th moment about zero of a probability density function f(x) if X is continuous, or the weighted average for a discrete probability distribution, if X is discrete.

The variance of a random variable X represent the spread of the possible values of the variable. The variance of X is written as Var(X).

We can verify that:

$\sum_{i=1}^n P(X_i) = 1$

And $P(X_i) \geq 0, \forall x_i$

So then we have a probability distribution

We can calculate the expected value with the following formula:

$E(X) = \sum_{i=1}^n X_i P(X_i) = 0*0.031 +1*0.156+ 2*0.313+3*0.313+ 4*0.156+ 5*0.031 = 2.5$

We can find the second moment given by:

$E(X^2) = \sum_{i=1}^n X^2_i P(X_i) = 0^2*0.031 +1^2*0.156+ 2^2*0.313+3^2*0.313+ 4^2*0.156+ 5^2*0.031 =7.496$

And we can calculate the variance with this formula:

$Var(X) =E(X^2) -[E(X)]^2 = 7.496 -(2.5)^2 = 1.246$

And the deviation is:

$Sd(X) = \sqrt{1.246}= 1.116$

6 0

3 years ago

David purchased some cookies at the cost of 5 for $4 and sold them at 4 for $5. David made a profit of $180 in total. How many c

horsena [70]

David purchased some cookies at the cost of

5 for $4 (5/4=1.25) and

sold them at 4 for $5(4/5=0.80).

To find cost per cookie subtract 1.25-0.80=0.45

David made a profit of $180 in total ( divide profit per cookie cost: 180/0.45= 400)

How many cookies did David purchase to make that much money?

He needed to make 400 cookie to make the profit of $180.

5 0

3 years ago

Write each percent as a decimal 21% 0.4%

Karo-lina-s [1.5K]

21% is 0.21
0.4% is 0.004

8 0

3 years ago

Read 2 more answers

In the following figure, line DG is tangent to point A at F; line EC and line EH are tangent segments. If CE = 18, find HE.

gogolik [260]

<span>lengths of tangents drawn from an external point are equal </span>⇒
HE = CE = 18 units.

8 0

3 years ago