Harper bought 8.6 cm of fabric. She used 2.8 meters making a pilow . How many cm of fabric does she have left
1 answer:
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Answer:
And we can ue the z score formula given by:
And using this formula we got for the limits:
So we want to find this probability:
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".
Solution to the problem
Let X the random variable that represent the annual income of a population, and for this case we know the following info:
and
and we are omitting the zeros from the thousand to simplify calculations
We select a sample size of n=50>30.
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".
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 we can ue the z score formula given by:
And using this formula we got for the limits:
So we want to find this probability:
How many 3 wires can be cut from a spool of wire that is 100 inches long?
How many inches will be left over?
Number of pieces of wires = length of spool of wire ÷ length of each piece of wire.
Number of pieces = 100 ÷ 3 = 100 ÷
That gives
Simplifying gives =
This is equivalent to 26 pieces
So 26 pieces of wires can be cut from a spool and of a piece will be left over.