Alright, so in PEMDAS, we first do exponents. 3^2=9, and we then have 5(9)-3(3)+2. After that, we have multiplication, where we have 5*9 =45 and 3*3=9, resulting in 45-9+2 and eventually 38
Answer: Cubic inches, feet, cm, etc.
Given relation is not a function
Step-by-step explanation:
When a relation is given in the form of ordered pairs, the first element of each ordered pair is the member of domain set and second element is the member of range set.
In order for a relation to be a function, there should be no repetition in domain as the domain elements should be unique.
Given relation is:
{(1,2) (3,4) (5,8) (1,4)}
The domain is: {1,3,5,1}
As we can see there is repetition in domain i.e. 1 is twice in the set, the given relation is not a function.
Hence,
Given relation is not a function
Keywords: Domain, range
Learn more about domain at:
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Answer:
these both are ture
Step-by-step explanation:
Answer:
0.99865
Step-by-step explanation:
The question above is modelled by gaussian distribution. Gaussian distribution is also known as Normal distribution.
To solve the above question, we would be using the z score formula
The formula for calculating a z-score
z = (x-μ)/σ,
where x is the raw score
μ is the population mean
σ is the population standard deviation.
In the above question,
x is 115 liters
μ is 100
σ is the population standard deviation is unknown. But we were given variance in the question.
Standard deviation = √Variance
Variance = 9
Hence, Standard deviation = √9 = 3
We go ahead to calculate our z score
z = (x-μ)/σ
z = (115 - 100) / 3
z = 15/ 3
z score = 5
Using the z score table of normal distribution to find the Probability of having a z score of 5
P(x = 115) = P(z = 5) =
0.99865
Therefore the probability that this year it will produce 115 liters of wine = 0.99865
