Answer:
Yes, they are independent because P(Texas) ≈ 0.45 and P(Texas/brand A) ≈ 0.45.
Step-by-step explanation:
We are given that a taste test asks people from Texas and California which pasta they prefer, brand A or brand B. The table is given in the question.
A person is randomly selected from those tested.
And we have find that are being from Texas and preferring brand A independent events or not.
Firstly, we know that these two events will be independent when;
P(Texas) = P(Texas/brand A)
Now, P(Texas) = 
= 
≈ 0.45
Also, P(Texas/brand A) = 
= 
= 
≈ 0.45
Therefore, being from Texas and preferring brand A are independent events because P(Texas) ≈ 0.45 and P(Texas/brand A) ≈ 0.45.
Answer:
Around 25
Step-by-step explanation:
452 candies/18 children
= 25.11111111
Meaning there are around 25 left
Answer:
Probability of having the double sided coin is 1 %
Probability of getting heads on the next flip is 50%
Step-by-step explanation:
Based on the information given to us in the question we have a total of 100 coins in the bag and only 1 is double heads. Therefore the probability of you picking the double sided coin is 
or 1 % . This probability is not affected by the fact that the coin you chose got heads 7 times in 7 flips.
Since a coin has 2 sides and you do not know whether the coin you have is the double sided coin then you have to assume that it is a normal 2 sided coin. Therefore a normal 2 sided coin has a probability of 
or 50% with every flip of getting heads.
I hope this answered your question. If you have any more questions feel free to ask away at Brainly.
<span>Break down every term into prime factors. ...Look for factors that appear in every single term to determine the GCF. ...Factor the GCF out from every term in front of parentheses, and leave the remnants inside the parentheses. ...<span>Multiply out to simplify each term. </span></span>
Looks like the system is
We can eliminate 
by taking
so that 
, and
Substitute into this last equation and solve for 
:
Then
Plug these values into any one of the original equation to solve for :
Hence the solution is x = 4, y = -3, and z = 2.
