Gabe went to the amusement park with $40 to spend. His ticket cost $26.50. Write and solve an inequality to show how much he mig
1 answer:
<h3><u>An inequality to show how much he might spend on souvenirs and snacks is:</u></h3>
Given that,
Gabe went to the amusement park with $40 to spend
His ticket cost $26.50
Therefore,
Total amount she has = $ 40
Ticket cost = $ 26.50
Let "x" be the amount he might spend on souvenirs and snacks
Therefore,
Remaining amount = 40 - 26.50
Remaining amount = 13.5
Thus she can spend less than or equal to $ 13.5 on souvenirs and snacks
Which is represented in inequality as:
Thus the inequality is found
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Answer:
And we can find this probability with the normal standard distirbution or excel and we got:
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 lenghts 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 with the normal standard distirbution or excel and we got: