Evelyn borrowed $30 from her mother to buy a sweater. After 3 weeks of babysitting, she pays her mother back $24. What percent
1 answer:
Answer:
80%
Step-by-step explanation:
We know that Evelyn paid off $24 of the $30. To find the percentage, we divide the part by the whole and then multiply by 100. The multiplying by 100 is optional, but it just makes the calculation easier. In this case, the part is 24 and the whole is 30, so our expression would be , or 80%. Hope this helps!
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Answer:
Harry buys 6 apples and 5 oranges at the store.
Step-by-step explanation:
Given:
Cost of each apples = $0.8
Cost of each oranges = $0.95
Total money spend =$9.55
Number of fruits bought= 11
We need to find the number of apples bought and number of oranges were bought.
Solution:
Let the number of apples bought be 'a'.
Let the number of oranges were bought be 'o'.
Number of fruits bought= 11
So we can say that;
Number of fruits bought is equal to sum number of apples bought and number of oranges were bought.
framing in equation form we get;
⇒ equation 1
Now we can say that;
Total money spend is equal to number of apples bought multiplied by Cost of each apples plus number of oranges were bought multiplied by Cost of each oranges.
framing in equation form we get;
⇒ equation 2
Now Multiplying equation 1 by 0.8 we get;
⇒ equation 3
Subtracting equation 3 from equation 2 we get;
Dividing both side by 0.15 we get;
Substituting the value of o in equation 1 we get;
Hence Harry buys 6 apples and 5 oranges at the store.
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: