In step 2, V = show the error in volume work.
Solution:
Given data:
The steps shows it is sphere.
Radius of the sphere = 12.5
The value of π = 3.14
Volume of the sphere =
Step 1:
Step 2:
Step 3:
Step 4:
V = 8177.08 cubic units
This is the correct solution.
But in the given options, in step 2, 12.5 is multiplied by 3.
That is not the correct step. You have to do 12.5 × 12.5 × 12.5.
Hence in step 2, V = show the error in volume work.
Answer:
And using the normal atandard table or excel we got:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".
Solution to the problem
Let X the random variable that represent the length of the tape of a population, and for this case we know the following parameters
Where and
We sselect a sample size of n =78>30. From the central limit theorem we know that the distribution for the sample mean is given by:
And we want to find this probability:
And using the normal atandard table or excel we got:
Answer:
2/8, 5/8
Step-by-step explanation:
Multiplying by 2/2 is like multiplying by 1, so it doesn't affect the value.
To add fractions with the same denominator just add the numerator, the denominator stays the same.