Answer:
<h2>x = 24</h2>
Step-by-step explanation:

Multiply through by the LCM that's 6 in order to eliminate the fraction
That's

Using the addition property add 2x to both sides of the equation
That's

<u>Divide both sides by 5</u>

We have the final answer as
<h3>x = 24</h3>
Hope this helps you
Answer:
The inequality 14
Cecil had 14 boxes of lightbulbs when he started
I think not 100% sure
Step-by-step explanation:
Hope this helps :)
Title:
<h2>See the explanation.</h2>
Step-by-step explanation:
The coin is to be flipped 2000 times.
The probability of getting a head is 0.3.
It is given that, we need to get a head in between 575 and 618 times.
If we will get 575 heads then we will get (2000 - 575) tails.
Hence, if we take that we want to get n times head, then we will get (2000 - n) times tail.
The probability of not getting a head is (1 - 0.3) = 0.7.
The probability of getting n times head is
.
The required probability is ∑
, where
.
Answer:
The information above is just a part of a long question.The main question is found in the attached as well as the answer following a step by step methodical approach.
Step-by-step explanation:
Take a good at the full question before venturing into the statements prepared so as to have a thorough understanding of the requirements and how the answers provided have touched upon the requirements.
Answer:
True
Step-by-step explanation:
If two events X and Y are mutually exclusive,
Then,
P(X∪Y) = P(X) + P(Y)
Let A represents the event of a diamond card and B represent the event of a heart card,
We know that,
In a deck of 52 cards there are 4 suit ( 13 Club cards, 13 heart cards, 13 diamond cards and 13 Spade cards )
That is, those cards which are heart can not be diamond card,
⇒ A ∩ B = ∅
⇒ P(A∩B) = 0
Since, P(A∪B) = P(A) + P(B) - P(A∩B)
⇒ P(A∪B) = P(A) + P(B)
By the above statement,
Events A and B are mutually exclusive,
Hence, the probability of selecting a 4 of diamonds or a 4 of hearts is an example of a mutually exclusive event is a true statement.