A race track is made from two straights and two semicircles. The straights are 80m long. The race track has a total perimeter of
1 answer:
Answer:
76.4 m
Step-by-step explanation:
The race track has two straights and two semi circles.
Each straight is 80m
total perimeter for the straights is 80 * 2 = 160m
two semi circles which creates a full circle
perimeter of a full circle = d
NB : (d) is the diameter
therefore we can find the value of the diameter
400 = 160 + d
400- 160 = d
240 = d
d = 240/
d = 76.394.....
<u>d = 76.4 m</u>
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Answer:
Step-by-step explanation:
Hello!
There are some values missing, so I'll find the probability distribution using others as example. Afterwards you can calculate the ones corresponding to this exercise following the same steps.
Considering there are 5000 undergraduates registered in the college.
465 are taking one course
658 are taking two courses
566 are taking three courses
1877 are taking four courses
1344 are taking five courses
90 are taking six courses
First you have to define the variable of interest. To identify it you have to ask yourself the following question: what is the characteristic of this population that is being measured?
The answer is "the number of courses an undergraduate is taking" and this will be the study variable X
X can take values from 1 to 6 courses.
To calculate the probability of each value of X, you have to divide the "number of students taking Xi courses" by "total number of students registered in the college"
For
X=1
P(1)= 465/5000= 0.093
X=2
P(2)= 658/5000= 0.1316
X=3
P(3)= 566/5000= 0.1132
X=4
P(4)= 1877/5000= 0.3754
X=5
P(5)= 1344/5000= 0.2688
X=6
P(6)= 90/5000= 0.018
For this to be a probability distribution the following condition should be met:
F(X)= ∑P(X) = 1
In this example: 0.093 + 0.1316 + 0.1132 + 0.3754 + 0.2688 + 0.018 = 1
I hope this helps!
