11 hundredths , or 11/100
The average speed of Martha and Sarah is 32 km/h.
We need to know about the speed to solve this problem. Speed can be determined as the distance traveled divided by time. It can be written as
v = s / t
where v is speed, s is distance and t is time.
From the question above, we know that:
t sarah = 3 hours
t martha = 5 hours
v sarah = 40 km/h
By using the speed equation, we get the distance
vsarah = s / tsarah
40 = s/3
s = 120 km
Find Martha's speed
vmartha = s / tmartha
vmartha = 120 / 5
vmartha = 24 km/h
Find average speed
v = (vsarah + vmartha)/2
v = (40 + 24) / 2
v = 32 km/h
Hence, the average speed of Martha and Sarah is 32 km/h.
Find more on speed at: brainly.com/question/6504879
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First, let's find the slope of the line from the points given.
m = (4 - - 2) / (3 - 1)
m = 6 / 2
m = 3
Secondly, we know that a line perpendicular to the original must have a slope that is the opposite reciprocal of the original. For the given points, the opposite reciprocal slope would be -1/3.
Now, we can put all of the equations below into slope intercept form and find the ones that have a slope of -1/3.
Equation 1: Correct
y = -1/3x - 5
Equation 2: Incorrect
y = 3x - 3
Equation 3: Incorrect
y - 2 = 3(x + 1)
y - 2 = 3x + 1
y = 3x + 2
Equation 4: Correct
x + 3y = 9
3y = -x + 9
y = -1/3x + 3
Equation 5: Incorrect
3x + y = -5
y = -3x - 5
Hope this helps!! :)
Both are equal because the distance from AB is equal to RS.
Answer:
There are a 25% probability that Christine fails the course.
Step-by-step explanation:
We have these following probabilities:
A 50% probability that Christine finds a tutor.
With a tutor, she has a 10% probability of failling.
A 50% probability that Christine does not find a tutor.
Without a tutor, she has a 40% probability of failing.
Probability that she fails:
10% of 50%(fail with a tutor) plus 40% of 50%(fail without a tutor). So
There are a 25% probability that Christine fails the course.
