Add all and divide by how many there is
answer is 5.08
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
It will increase by $30
We need to convert the percentage to a decimal by dividing by 100. Then we multiply by the $150.
150 x 0.20 = 30
Answer:
x = 6 + 3√10
Step-by-step explanation:
Since this is an unfactorable expression, we need to apply the Quadratic Formula, <em>-</em><em>b</em><em> </em><em>±</em><em> </em><em>√</em><em>b</em><em>²</em><em> </em><em>-</em><em> </em><em>4ac</em><em>\</em><em>2a</em><em> </em>[radical wrapped around <em>b</em><em>²</em><em> </em><em>-</em><em> </em><em>4ac</em>]. Evaluate, then you will end up with the answer above.
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