A band selects 404040 ticket-holders at random from each concert to win t-shirts. The band knows that 55\%55%55, percent of the
1 answer:
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Answer:
Let X the random variable that represent the delivery times of a population, and for this case we know the distribution for X is given by:
Where and
Since the distribution of X is normal then we know that the distribution for the sample mean is given by:
And we have;
Step-by-step explanation:
Assuming this question: The delivery times for all food orders at a fast-food restaurant during the lunch hour are normally distributed with a mean of 14.7 minutes and a standard deviation of 3.7 minutes. Let R be the mean delivery time for a random sample of 40 orders at this restaurant. Calculate the mean and standard deviation of Round your answers 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 delivery times of a population, and for this case we know the distribution for X is given by:
Where and
Since the distribution of X is normal then we know that the distribution for the sample mean is given by:
And we have;
Answer:
Step-by-step explanation:
Given
Let the three sides be represented with A, B, C
Let the angles be represented with
[See Attachment for Triangle]
What the question is to calculate the third length (Side B) and the other 2 angles ()
Solving for Side B;
When two angles of a triangle are known, the third side is calculated as thus;
Substitute: ,
;
Take Square root of both sides
<em>(Approximated)</em>
Calculating Angle
Substitute: ,
;
Subtract 180 from both sides
Divide both sides by -144
Take arccos of both sides
<em>(Approximated)</em>
Calculating
Sum of angles in a triangle = 180
Hence;
Make the subject of formula
Answer:
Step-by-step explanation:
Alright so we are going to solve
5x ≥ 25 Divide both sides by 5
x≥5
