Answer:
And we can find this probability using the normal standard distribution or excel and we got:
Step-by-step explanation:
For this case we assume the following complete question: "The pucks used by the National Hockey League for ice hockey must weigh between 5.5 and 6 ounces. Suppose the weights of pucks produced at a factory are normally distributed with a mean of 5.86 ounces and a standard deviation of 0.13ounces. What percentage of the pucks produced at this factory cannot be used by the National Hockey League? Round your answer to two decimal places.
"
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 weights of a population, and for this case we know the distribution for X is given by:
Where 
and 
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability using the normal standard distribution or excel and we got:
Answer:
0.536 is the required probability.
Step-by-step explanation:
We have been given the word the word "GEOMETRY"
we have to find the probability that two consonants and one vowel are chosen:
Number of consonants are: 5
Number of vowels are: 3
Hence, The required probability is: 
Using: 
Simplifying the above expression:
Further simplification after cancelling out the common terms we get:
Hence, Option 1 is correct.
Answer:
true
true
false
true
Step-by-step explanation:
We can use the concept of commutative property of addition here. We know that the addition follow the commutative property.
The commutative property of addition is given by
It means, if we change the order, it will not affect the result.
Therefore, using above mentioned property, we can see that
1+7 = 7+1
Hence, if we know the value of 1+7, then we can easily find the value of 7+1 because both are same.
Scale:
1 cm : 6 inches
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Length of the aquarium:
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5 feet = 5 x 12 = 60 inches
60 ÷ 6 = 10
The length will be 10 cm on the scale drawing.
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Width of the aquarium:
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2 feet = 2 x 12 = 24 inches
24 ÷ 6 = 4
The width will be 4 cm on the scale drawing.
---------------------------------
Find Perimeter:
---------------------------------
Perimeter = 2 (length + width)
Perimeter = 2( 10 + 4 )
Perimeter = 28 cm
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Answer: The perimeter of the scale drawing of the front face is 28 cm.--------------------------------------------------------------------------------------------------
