Answer:
the science fiction books and five mystery books in each package. This is because 6 is the highest common factor of both 48 and 30, and 6 x 8 = 48 and 6 x 5 = 30.
Answer:
£17253.53 to the nearest hundredth.
Step-by-step explanation:
Decreasing by 9,5% is equivalent to multiplying by 1 - 0.095 = 0.905.
19064.67 * 0.905
= £17253.52635.
First solve the original number of pictures. The original
number of picture is 108 + 32 – 13 which is equal to 127 pictures. Then solve
the size of each picture,
12021.1 kb / 13 pic = 924.7 kb / pic
So the original storage is 127 pic ( 924.7 kb / pic) =
117,436.9 kb
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
