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:
We can simplify across between the 5 and the 50 and also between the 42 and the 3.
Answer:
$1800
Step-by-step explanation:
First, rewrite out the information you already have:
-for 4 hrs-cost $850
-for 7 hrs-cost $1300
-for 12 hrs-$?
Next, we have to find out the amount of cost for hire per hour, so we can multiply that by 12 hrs:
-start by subtracting $850 from $1300:
1300-850=$450
-now subtract 4 hrs from 7 hrs:
7-4=3 hrs
In doing this, we see that the cost for 3 hrs hire is $450. Now, to find the unit cost per hr hire, divide $450 by 3 hrs:
450÷3=$150/hr
It costs $150 per hr hire.
Now, we have to find the cost for 12 hrs hire, so just multipy the unit cost by 12:
150*12=$1800 for 12 hrs hire
It costs $1800 for 12 hrs hire.
Answer:
The constant of variation is $1.50
Step-by-step explanation:
Given
Point 1 (1,2)
Point 2 (5,8)
Required
Constant of Variation
Though the graph would have assisted in answering the question; its unavailability doesn't mean the question cannot be solved.
Having said that,
the constant variation can be solved by calculating the gradient of the graph;
The gradient is often represented by m and is calculated as thus

Where

By substituting values for x1,x2,y1 and y2; the gradient becomes




Hence, the constant of variation is $1.50