A line is perpendiculat to another which has a slope of m if the perpendicular line has a slope of -1/m.
That means that if the product of slopes of two lines is -1, the two lines are perpendicular.
Here, y1=-7/4x, or m=-7/4
The perpendicular should have a slope of -1/m=-1/(-7/4)=4/7
Answer:
-57
Step-by-step explanation:
13,8,3,-2 (decreasing by 5)
13,8,3,-2,-7,-12,-17,-22,-27,-32,-37,-42,-47,-52,-57.
The 15th term is -57.
<u><em>Ace</em></u>
To find the answer, we can first find the distance each of them have, then divide it by their speed to find the time needed.
Distance Steve need to travel: 300 feet
Distance Paula need to travel:
300+175(behind steve) = 475 feet
Time needed respectively:
Steve: 300 ÷ 9 = 33.33.. seconds
Paula: 475 ÷ 15 = 31.66... seconds
As we can see from the result, Paula would take less time to reach the goal (31.66<33.33),
therefore, Paula win the bike race by:
33.33-31.67
=1.66...
≈1.67 feet
Thus Paula won by 1.67 feet.
Hope it helps!
Answer:
0.2103 = 21.03% probability that, in any seven-day week, the computer will crash less than 3 times.
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given interval.
Mean of 0.6 times a day
7 day week, so 
What is the probability that, in any seven-day week, the computer will crash less than 3 times? Round your answer to four decimal places.
In which
So
0.2103 = 21.03% probability that, in any seven-day week, the computer will crash less than 3 times.
