A factory worker can make 14 products in 45 minutes.what is the workers unit rate
2 answers:
Answer: The unit rate is 0.311 products per minute.
Step-by-step explanation: Given that a factory worker can make 14 products in 45 minutes.
We are to find the unit rate.
We will be using the unitary method to solve the given problem.
In 45 minutes, the number of products made by the worker = 14.
Therefore, in 1 minute, the number of products made by the worker is given by
Thus, the required unit rate is 0.311 products per minute.
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is one of the sides of the square
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. Lets replace that value in our formula to find :
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where
is the population density in <span>in burrows per square kilometer
</span>
is the number of burrows
is the are of the field
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and , so lets replace those values in our formula:
We can conclude that the <span>density of prairie dog burrows is approximately 2444 burrws per square kilometer.</span>
Were
We know for our problem that the side lengths of the field are 0.9 kilometers, so
Now, to find the population density of the filed, we are going to use the population density formula:
where
</span>
We know that
We can conclude that the <span>density of prairie dog burrows is approximately 2444 burrws per square kilometer.</span>
Answer:
The members of the cabinet can be appointed in 121,080,960 different ways.
Step-by-step explanation:
The rank is important(matters), which means that the order in which the candidates are chosen is important. That is, if we exchange the position of two candidates, it is a new outcome. So we use the permutations formula to solve this quesiton.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
If there are 14 eligible candidates for these positions (where rank matters), how many different ways can the members of the cabinet be appointed?
Permutations of 8 from a set of 14. So
The members of the cabinet can be appointed in 121,080,960 different ways.