8/9 * 9/8 multiply it
2 answers:
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Answer:
Step-by-step explanation:
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 scores 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 table or excel and we got:
<u>Answer:</u>
- Carly's expenditure was $240 and the number of boxes of cards was required is 24 boxes.
<u>Step-by-step explanation:</u>
We know that:
- 48 + 8(b) = Carly's expenditure
- 10(b) = Carly's expenditure
- 48 + 8b = 10b
- B = Boxes of cards
<u>Work:</u>
- 48 + 8b = 10b
- => 48 + 8b - 8b = 10b - 8b
- => 48 = 2b
- => b = 24
<u>Now, let's substitute the value of b into any equation.</u>
- 10(24)
- => 240
<u>Hence, Carly's expenditure was $240 and the number of boxes of cards was required is 24 boxes.</u>
Hoped this helped.