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
Step-by-step explanation:
- First step you take 25 on the other side and when it goes on other side it change the sign to negative 13x< -1-25
- second step you keep the sign of the bigger number then you add. The result will be 13x< -26
- third step you divide both side by 13x÷-26
- finally the answer will be -2
It is given that seismic activity d<span>ensity of a region is the ratio of the number of earthquakes during a given time span to the land area affected. so if the there 424 earthquakes and the land area is 71,300 sq miles.
seismic activity density = 424 / 71,300
</span>
<span>seismic activity density = 0.0059
the closest answer in the choices is 0.0056</span>
Answer:
please state clearly then show picture
Step-by-step explanation:
