a sailboat started its journey at 6:30 am and reached the destination at 11:45pm. If the distance of the journey is 1276.5 miles
1 answer:
Answer:
74 mph
Step-by-step explanation:
we know that
To find out the average speed, divide the total distance by the total time
Let
s ----> the speed in mph
d ---> the distance in miles
t ----> the time in hours
so
step 1
Find the total time
A sailboat started his journey at 6:30 am and reached his destination at 11:45 pm
so
from 6:30 am to 12:00 pm ----> there are 5 hours + 30 minutes=5.5 hours
from 12:00 pm to 11:45 pm ----> there are 11 hours + 45 minutes=11.75 hours
The total time is
step 2
Find the average speed
we have
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2x^2 - 7x - 6 = 0
where a=2
where b=-7
where c=-6
solve for x1 and x2
x1=4.21
x2=-0.71
where a=2
where b=-7
where c=-6
solve for x1 and x2
x1=4.21
x2=-0.71
Answer:
a)
And we can find this probability using the complement rule and the standard normal table or excel:
b)
And we can find this probability using the standard normal table or excel:
c) For this case we have a total of 868 cups and we know that the fraction of cups that will be overflow is 0.159, so then the expected number of cups overflow would be:
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".
Part a
Let X the random variable that represent the amount of soft frink 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 complement rule and the standard normal table or excel:
Part b
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 standard normal table or excel:
Part c
For this case we have a total of 868 cups and we know that the fraction of cups that will be overflow is 0.159, so then the expected number of cups overflow would be: