Answer:
The binomial mean, or the expected number of successes in n trials, is E(X) = np. The standard deviation is Sqrt(npq), where q = 1-p. The standard deviation is a measure of spread and it increases with n and decreases as p approaches 0 or 1.
Step-by-step explanation:
Answer:
4x + 2y ≤ 20
Step-by-step explanation:
x = burger
y = fries
a. 4x + 2y ≤ 20 at most means ≤
1 cm : 5km
4 cm : 5 x 4 km
4 cm : 20 km
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Answer: The city is 20km apart.
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Answer:
a) 15
b) 2
Step-by-step explanation:
a) The sum of the enrollments in chemistry (60), physics (45), and biology (30) counts those triply enrolled 3 times and those doubly-enrolled twice. This sum will exceed the total number of students by 1 times those double-enrolled and twice those triply-enrolled.
We know that there are 10 students triply-enrolled, so the difference ...
(60 +45 +30) -2(10) = 15
is the number of doubly-enrolled students.
There are 15 students enrolled in exactly 2 science classes.
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b) There are 9+4 = 13 students doubly-enrolled in physics and something else. Using the result from part A, there will be 15 -13 = 2 students doubly-enrolled in chemistry and biology, but not physics.
For this, simply use the rules of logs:
- Adding logs of the same base (which is 7 here) is the same as multiplying
-Subtracting logs of the same base is dividing
So the single log would be:
log₇(x*y/z) which is the same as
log₇(xy/z)