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V125BC [204]
3 years ago
12

A standard chemistry examination administered nationally by the American Chemical Society has a mean of 500 and a standard devia

tion of 90. What is the probability that the average of a random sample of examination scores of 25 students will be between 450 and 500?
Mathematics
1 answer:
Maslowich3 years ago
4 0
Let X be a random sample representing the score of a student in the American Chemical Society Examination.
P(450 < x < 500) = P((450 - 500)/(90/sqrt(25)) < z < (500 - 500)/(90/sqrt(25))) = P(-2.778 < z < 0) = P(z < 0) - P(z < -2.778) = P(z < 0) - [1 - P(z < 2.778)] = P(z < 0) + P(z < 2.778) - 1 = 0.5 + 0.99727 - 1 = 0.49727 = 49.7%
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Sergio [31]

The expression is equivalent to the given expression is: negative 9 over 12 times t minus 2 over 9.

<h3>What is stated as the equivalent expression?</h3>
  • Equivalent expressions have been expressions that perform the same function despite their appearance.
  • If two linear algebra expressions are equivalent, they have the same value when the variable is set to the same value.

For the given question, the expression is stated as-

Negative 7 over 6 times t plus 4 over 9 end quantity minus expression quantity negative 5 over 12 times t plus 2 over 3 end quantity

This can be written as;

= -7t/6 + 4/9 - (-5t/ 12 + 2/3)

Simplify the expression as;

= -7t/6 + 4/9 + 5t/ 12 - 2/3

Re arrange the numbers

= -7t/6  + 5t/ 12 - 2/3 + 4/9

Combine the variables and constant separately.

= -9t/12 - 2/9

This can be written in words as- negative 9 over 12 times t minus 2 over 9.

Thus, the expression is equivalent to the given expression is: negative 9 over 12 times t minus 2 over 9.

To know more about the equivalent expression, here

brainly.com/question/15775046

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1 year ago
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Tanya [424]

Answer:

I believe the answer is ten.

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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