La longitud de una varilla es de 12 pulgadas y la de otra varilla es de

you are rolling a 10-sided die with sides numbered 1-10. you keep rolling the die until you roll a prime number and then stop. l

evablogger [386]

The formula for E(x) would be SUM[ X(n)P(n)] from n = 1 to n = infinity until we get the prime number

In the given problem, a 10-sided die with 1-10 numbers is rolled until we get a prime number

Prime numbers between 1-10 = 2,3,5,7 (4 prime numbers)

Non - prime numbers = 1,4,6,8,9,10( 6 non-prime number)

Let X be the number of times the die is rolled

The probability of getting a prime =

$P(Prime) = \frac{4}{10}$

Now, the value of

E(X)=∑x.P(x) [ x-> {1, infinity}]

= P(1)X(1) +P(2)X(2)+P(3)X(3)+P(4)X(4)........+ P(n)X(n)

= 1. $\frac{4}{10}$ + 2. $\frac{6}{10}$ . $\frac{4}{10}$ + 3. $\frac{6}{10}$ . $\frac{6}{10}$ $\frac{4}{10}$ + 4. $\frac{6}{10}$ . $\frac{6}{10}$ . $\frac{6}{10}$ . $\frac{4}{10}$ .......

Hence, this is the value of E(x)

To learn more about Prime number, here

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4 0

1 year ago

fiona draws a 24 centimeter rectangle.gregory draws a 24 square inch rectangle.whose rectangle is in area .how do you know

Valentin [98]

Answer:

Therefore we come to a conclusion that,

Gregory's Rectangle is in Area.

Step-by-step explanation:

Given:

Fiona draws a 24 centimeter rectangle.

Gregory draws a 24 square inch rectangle.

To Find:

Whose rectangle is in area = ?

Solution:

Rectangle has a dimension as

Length and Width which are in meters, centimeters, inches, feet, units, etc.

For Area

$Area\ of\ Rectangle=Length\times Width$

here units are getting Multiplied so it becomes

unit × unit = unit² = square units

m × m = m² =square meter

inch × inch = inch² =square inches

Hence Area is calculated in square units.

Therefore we come to a conclusion that,

Gregory's Rectangle is in Area.

6 0

2 years ago

What is the value of x? There is isosceles triangle. The measure of angle which is between two congruent sides is (6x+10⁰). The

max2010maxim [7]

<h3><u>Answer</u><u>:</u><u>-</u></h3>

x=17

<h3><u>step-by</u><u>-</u><u>step</u><u> </u><u>Explanation</u><u>:</u><u>-</u></h3>

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<h3 />

This is a isosceles triangle. As it is a triangle we can apply sum theory. we have to take the sum of given unknown polynomials as 180° .Then by solving it we can find the value of x.

<h3><u>Solution</u><u>:</u><u>-</u></h3>

Given angles