The diagram included should explain this.
#5: This graph shows the amount of gas, in ounces, in a lawn mower gas tank, modeled as a function of time. Determine whether ea
ch statement is true according to the graph. Select True or False for each statement.
Captionless Image
True False
The maximum amount of gas in the gas tank was 60 ounces.
The amount of gas in the gas tank is at a maximum at 0 minutes.
The gas tank will be empty after 60 minutes.
The maximum amount of gas in the gas tank was 60 ounces.
The amount of gas in the gas tank is at a maximum at 0 minutes.
The gas tank will be empty after 60 minutes.
Coupon
#6: John has a coupon for 20% off any item in a store. What would the final cost be for an item that originally cost $15 if he uses his coupon? (Assume there are no taxes)
Captionless Image
True False
The maximum amount of gas in the gas tank was 60 ounces.
The amount of gas in the gas tank is at a maximum at 0 minutes.
The gas tank will be empty after 60 minutes.
The maximum amount of gas in the gas tank was 60 ounces.
The amount of gas in the gas tank is at a maximum at 0 minutes.
The gas tank will be empty after 60 minutes.
Coupon
#6: John has a coupon for 20% off any item in a store. What would the final cost be for an item that originally cost $15 if he uses his coupon? (Assume there are no taxes)
2 answers:
Answer:
#5 False, True, True
#6 $12
Step-by-step explanation:
#5 In the figure attached, the missing picture is shown.
- The maximum amount of gas in the gas tank was 60 ounces. False, it was 30
- The amount of gas in the gas tank is at a maximum at 0 minutes. True
- The gas tank will be empty after 60 minutes. True
#6 The discount is equal to 20/100 * $15 = $3. Then, John has to pay $15 - $3 = $12
Answer:
5. See below
6. $12
Step-by-step explanation:
5.
<em>Image/Graph attached.</em>
<em />
<em>The maximum amount of gas in the gas tank was 60 ounces:</em>
The max amount is at the starting, at t = 0. The y-axis (amount of gas) at that time is at 30, so the max amount is 30, NOT 60.
False.
<em>The amount of gas in the gas tank is at a maximum at 0 minutes:</em>
This is true, because the more you drive, the less gas you have. You have a full tank/max before you start. That's at t = 0 minutes.
True.
<em>The gas tank will be empty after 60 minutes:</em>
The y-axis goes to 0 at t = 60 minutes. That means, after 60 minutes, gas is over. Tank is empty. So this is true.
True.
6.
If something costs $15 and John uses a coupon on that, he will get 20% off of that. The final price would be 20% (0.2) less than the original, $15. We need to find 20% of 15 and then subtract from 15.
20% of 15 = 0.2 * 15 = $3
Now
15 - 3 = $12
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Answer:
There is a 2.28% probability that it takes less than one minute to find a parking space. Since this probability is smaller than 5%, you would be surprised to find a parking space so fast.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by
After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X.
Also, a probability is unusual if it is lesser than 5%. If it is unusual, it is surprising.
In this problem:
The length of time it takes to find a parking space at 9 A.M. follows a normal distribution with a mean of 7 minutes and a standard deviation of 3 minutes, so .
We need to find the probability that it takes less than one minute to find a parking space.
So we need to find the pvalue of Z when
has a pvalue of 0.0228.
There is a 2.28% probability that it takes less than one minute to find a parking space. Since this probability is smaller than 5%, you would be surprised to find a parking space so fast.