Omar has a gift card for $40.00 at a gift shop. Omar wants to buy a hat for himself for $13.50. For his friends, he would like t
2 answers:
Answer:
i) 3.25x ≤ 26.50
ii) Omar can buy 8 bracelets.
Step-by-step explanation:
Omar has a gift card for $40.00.
Omar bought a hat for $13.50
The remaining amount he has = $40.00 - $13.50 = $26.50
He would like to buy souvenir bracelets for his friends.
Each cost = $3.25
Let "x" be the number of bracelets can buy.
3.25x ≤ 26.50
Now we have to solve the inequality.
Dividing both sides by 3.25, we get
x ≤ 8.15
The bracelets cannot be in decimal form.
So we have to round off to nearest whole number.
x ≤ 8
Therefore, Omar can buy 8 bracelets.
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Answer:
And we can solve this using the following z score formula:
And if we use this formula we got:
So we can find this probability equivalently like this:
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 heights of a population, and for this case we know the distribution for X is given by:
Where and
We select n =100. Since the distribution for X is normal then we know that the distribution for the sample mean is given by:
We want this probability:
And we can solve this using the following z score formula:
And if we use this formula we got:
So we can find this probability equivalently like this: