Answer:
The answer to your question is below
Step-by-step explanation:
Data
Volume = 270 cm³
height = 5 cm
length = ?
width = ?
Formula
Volume of a rectangular prism = height x length x width
- Solve for Area of the base (height x length)
Area of the base = Volume / height
-Substitution
Area of the base = 270 / 5
-Result
Area of the base = 54 m²
2.- Find the prime factors of 54
54 2
27 3
9 3
3 3
1
3.- The possible values of the sidas of the rectangle are:
Combining the prime factor of 54.
Length Width
2 x 3 = 6 and 3 x 3 = 9
or 2 x 3 x 3 = 18 and 3 x 1 = 3
or 3 x 3 x 3 = 27 and 2 x 1 = 2
Answer:
[11 2]
Step-by-step explanation:
10 to -1 is 11 and-3 to -5 is 2 therfore you have the distance of 11 and 2
Answer:
The answer to the question is;
The probability that the resulting sample mean of nicotine content will be less than 0.89 is 0.1587 or 15.87 %.
Step-by-step explanation:
The mean of the distribution = 0.9 mg
The standard deviation of the sample = 0.1 mg
The size of the sample = 100
The mean of he sample = 0.89
The z score for sample mean is given by
where
X = Mean of the sample
μ = Mean of the population
σ = Standard deviation of the population
Therefore Z =
= -1
From the standard probabilities table we have the probability for a z value of -1.0 = 0.1587
Therefore the probability that the resulting sample mean will be less than 0.89 = 0.1587 That is the probability that the mean is will be less than 0.89 is 15.87 % probability.
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