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2 years ago

What is rational or irrational

2 answers:

kondor19780726 [428]2 years ago

3 0

A rational number is a number that you can be written as a ratio and a irrational number is a real number that cannot be written as a ratio or integer as a fraction.

Blizzard [7]2 years ago

3 0

Rational numbers can be written in form
a/b whre b is not zero
just fyi, repeating decimals are rational example
0.3333333. means 1/3
if there is a repeating part, there is a fraction for it

irrational numbers cannot be written in a/b
they have no repeating parts, and go on infintely
famous exampes are π and e and √2

You might be interested in

Please anyone help I’m stuck

cestrela7 [59]

Answer:

a=10.35

Step-by-step explanation:

Hey There!

All you have to do is plug in the L and W value

a= 4.5(2.3)

4.5x2.3=10.35

so a=10.35

5 0

2 years ago

Read 2 more answers

Please help me if you can ‼️

Karolina [17]

Answer:

$y=14.5x+5$

Step-by-step explanation:

Let

x ----> the number of tickets

y ----> the price of tickets

we have the ordered pairs

(4,63) and (6,92)

step 1

<em>Find the slope of the linear equation</em>

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{92-63}{6-4}$

$m=\frac{29}{2}=\$14.5\ per\ ticket$

step 2

Find the y-intercept or initial value of the linear equation

we know that

The linear equation in slope intercept form is equal to

$y=mx+b$

where

m is the slope b is the y-intercept

we have

$m=14.5$

$point\ (4,63)$

substitute

$63=14.5(4)+b$

solve for b

$b=63-14.5(4)$

$b=\$5$

In this context the y-intercept is a one charge fee for the ticket service

The equation is equal to

$y=14.5x+5$

4 0

2 years ago

Show that if X is a geometric random variable with parameter p, then

Lubov Fominskaja [6]

Answer:

$\sum_{k=1}^{\infty} \frac{p(1-p)^{k-1}}{k}=-\frac{p ln p}{1-p}$

Step-by-step explanation:

The geometric distribution represents "the number of failures before you get a success in a series of Bernoulli trials. This discrete probability distribution is represented by the probability density function:"

$P(X=x)=(1-p)^{x-1} p$

Let X the random variable that measures the number os trials until the first success, we know that X follows this distribution:

$X\sim Geo (1-p)$

In order to find the expected value E(1/X) we need to find this sum:

$E(X)=\sum_{k=1}^{\infty} \frac{p(1-p)^{k-1}}{k}$

Lets consider the following series:

$\sum_{k=1}^{\infty} b^{k-1}$

And let's assume that this series is a power series with b a number between (0,1). If we apply integration of this series we have this:

$\int_{0}^b \sum_{k=1}^{\infty} r^{k-1}=\sum_{k=1}^{\infty} \int_{0}^b r^{k-1} dt=\sum_{k=1}^{\infty} \frac{b^k}{k}$ (a)

On the last step we assume that $0\leq r\leq b$ and $\sum_{k=1}^{\infty} r^{k-1}=\frac{1}{1-r}$ , then the integral on the left part of equation (a) would be 1. And we have: