Answer:
The interval that represents the middle 68% of her commute times is between 33.5 and 42.5 minutes.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean of 38 minutes, standard deviation of 4.5 minutes.
Determine the interval that represents the middle 68% of her commute times.
Within 1 standard deviation of the mean. So
38 - 4.5 = 33.5 minutes
38 + 4.5 = 42.5 minutes.
The interval that represents the middle 68% of her commute times is between 33.5 and 42.5 minutes.
Answer:
The Susana swam the fastest.
Step-by-step explanation:
<u>Speed</u> : It is defined as the distance traveled per unit time.
<u>Formula used</u> : 
First we have to determine speed of the following persons.
<u>For Tawni :</u>
Distance = 50 m
Time = 40.8 s
1.225 m/s which is the speed of Tawni.
--
<u>For Pepita :</u>
Distance = 100 m
Time = 60.2 s
1.661 m/s which is the speed of Pepita
--
<u>For Susana :</u>
Distance = 200 m
Time = 112.4 s
1.779 m/s which is the speed of Susana
From this we conclude that, in this problem meter affects the response and the speed of Susana is more than the Pepita and Tawani.
Thus, Susana swam the fastest.
Answer:
D) justified, assuming that the test was given fairly
Answer:
3/13
Step-by-step explanation:
Put the total number that tapped the ground AND 5/10 worms (which is 3) over the total number which is 13
so 3/13 which doesn't simplify
hope this helped :)
9514 1404 393
Answer:
k ≈ -0.06729
Step-by-step explanation:
The initial temperature difference is 85 -36 = 49 degrees. After 5 minutes, the temperature difference is 71 -36 = 35 degrees. The constant k is the natural log of the ratio of these temperature differences, divided by the time unit.
k = ln(35/49)/5 ≈ -0.06729
__
The equation for the temperature T of the can in the refrigerator is ...
T = 49e^(-0.06729t) +36
_____
<em>Additional comment</em>
Be careful with the sign. If you're filling in k in e^(-kt), then the sign of k will be positive. Above, we have taken the form of the exponential term to be e^(kt), so k is negative.
