The probability is:
It is given that:
An urn contains balls numbered 1 through 20.
A ball is chosen, returned to the urn, and a second ball is chosen.
This means that this is a case of a replacement.
Hence, one of the event is independent of the other.
Now we know that the probability to get a particular number of ball is:
( Since, there are total 20 balls and a ball of one particular number is just unique )
i.e.
Hence, the probability that the first and second balls will be a 8 is:
An urn contains balls numbered 1 through 20. A ball is chosen, returned to the urn, and a second ball is chosen. The probability that the first and second balls will be a 8 is
A random variable, random quantity, aleatory variable, or stochastic variable is described as a variable that the values depend on outcomes of a random phenomenon. The formal mathematical treatment of random variables is a topic in probability theory
There are two types of random variables such as discrete and continuous. Random variables can assume only a countable number of values are called discrete. Whereas the random variables that can take on any of the countless number of values in an interval are called continuous.
The chance of the first ball being a is
. Similarly, the chance of the second being a
is
.
To find the chance if both happening, muliply the two.
*
=
Because since you return it again and those combined make
since
<h3>Answer details</h3>
Grade: 9
Subject: mathematics
Chapter: probability
Keywords: urn, balls, probability, second, first
Answer:
The appropriate solution is:
(1) 22.81 minutes
(2) 0.171
Step-by-step explanation:
According to the question, the values will be:
The service rate of guess will be:
=
=
The mean arrival rate will be:
The mean service rate will be:
(1)
The average time a cab must wait will be:
⇒
⇒
⇒
⇒
(2)
The required probability will be:
⇒
⇒
⇒
well, keeping in mind that a year has 12 months, that means that 8 months is 8/12 of a year, when Mrs Rojas pull her money out.
well, she put in 6000 bucks, got back 160 extra, that's the interest earned in the 8 months.
what if she had left her money for 1 whole year, then
so had she left it in for a year, she'd have gotten 6240, namely 240 in interest, well, what fraction of a year's interest was earned? or worded differently, what fraction is 160(8 months) of 240(1 year)?
Answer:
The angle between vector and
is approximately
radians, which is equivalent to approximately
.
Step-by-step explanation:
The angle between two vectors can be found from the ratio between:
To be precise, if denotes the angle between
and
(assume that
or equivalently
,) then:
.
The first component of is
and the first component of
is also
The second component of is
while the second component of
is
. The product of these two second components is
.
The dot product of and
will thus be:
.
Apply the Pythagorean Theorem to both and
:
Let represent the angle between
and
. Apply the formula
to find the cosine of this angle:
.
Since is the angle between two vectors, its value should be between
and
(
and
.) That is:
and
. Apply the arccosine function (the inverse of the cosine function) to find the value of
:
.
slope m = - 2 → B
calculate m using the ' gradient formula '
m = (y₂ - y₁)/(x₂ - x₁)
choosing 2 'clear ' coordinates from the graph of the line
(x₁, y₁) = (0, 7) and (x₂, y₂) = (7, - 5) =
= - 2
m =
Answer and explanation:
Statement - If the difference of two numbers is even then so is their sum.
Let the two even numbers be '2m' and '2n' with m and n are integers.
The difference of two number is
Now, The sum of the numbers is
Let where k is an integer
Then, which is also an even number as 2 is multiplied with it.
So, If the difference of two numbers is even then so is their sum.
For example -
Let two even number 2 and 4.
The difference is , 2 is even.
The sum is , 6 is even.