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Dmitriy789 [7]
3 years ago
9

The average score on a standardized test is 750 points with a standard deviation of 50 points. What is the probability that a st

udent scored more than 850 on the standardized test ?
Mathematics
1 answer:
Savatey [412]3 years ago
7 0
Answer: 0.0228

Work:
This must be done using a graphing calculator. For this answer, I will be using terms from the TI-84 graphing calculator. 
You start by navigating on the calculator to the statistics section in which you will be able to find the normalcdf function. The functions asks you for the mean, which is 750, the standard deviation, which is 50, and the upper and lower bounds of the probability. Since the question asks for the probability that scores higher than 850, 850 will be the lower bound and 1E99 will be the upper bound. 1E99 is essentially infinity, so this will give you the most accurate answer possible. Once you plug these values into the calculator, you let the machine do the rest of the work. The calculator will output the value 0.0228. This is your answer. 
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<em>IMPORTANT THIGNS TO REMEMBER:</em>

  • Has 20 lb. dog food!
  • Gives dog 1 3/5 everyday!
  • Find how much eaten after 2 days!
  • Find how much is left!

<em>ANSWER:</em>

Dog has eaten 3 1/5 after 2 days!

There is 16 4/5 left in bag!

<em>EXPLANATION:</em>

Since she gives 1 3/5 to her dog everyday and their asking for 2 days you would multiply 1 3/5 × 2 OR add 1 3/5 + 1 3/5

Which would give you 3 1/5

So, the dog has eaten 3 1/5 lb. of dog food in 2 days.

However then, you would subtract 20 lb. - 3 1/5 lb. because there is 20 lb. dog food in all and the dog has eaten 3 1/5 of it. This would give you 16 4/5 lb.

Meaning there is 16 4/5 lb. left in the bag of dog food!

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