Answer:
No, the events "brown hair" and "brown eyes" are not independent.
Step-by-step explanation:
The table that represents the hair and eye colors of thirty students of the fifth grade are given in table as:
Brown hair Blonde hair Total
Green eyes 9 6 15
Brown eyes 10 5 15
Total 19 11 30
No, the events "brown hair" and "brown eyes" are not independent.
Since, two events A and B are said to be independent if:
P(A∩B)=P(A)×P(B)
where P denotes the probability of an event.
Here we have:
A= students having brown hair.
B= students having brown eyes.
A∩B= students having both brown hair and brown eyes.
Now,
P(A)=19/30 (ratio of addition of first column to the total entries)
P(B)=15/30 ( ratio of addition of second row to the total entries)
Also,
P(A∩B)=10/30
Now as:
P(A∩B) ≠ P(A)×P(B)
Hence, the two events are not independent.
You know angles B and C are both 60°, the values of the angles in an equilateral triangle. Since the sum of angles in a quadrilateral is 360°, you have
B + C + x + y = 360°
60° +60° + x + y = 360°
x + y = 240°
Answer:
1. the range of f^-1(x) is {10, 20, 30}.
2. the graph of f^-1(x) will include the point (0, 3)
3. n = 8
Step-by-step explanation:
1. The domain of a function is the range of its inverse, and vice versa. The range of f^-1(x) is {10, 20, 30}.
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2. See above. The domain and range are swapped between a function and its inverse. That means function point (3, 0) will correspond to inverse function point (0, 3).
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3. The n-th term of an arithmetic sequence is given by ...
an = a1 +d(n -1)
You are given a1 = 2, a12 = 211, so ...
211 = 2 + d(12 -1)
209/11 = d = 19 . . . . . solve the above equation for the common difference
Now, we can use the same equation to find n for an = 135.
135 = 2 + 19(n -1)
133/19 = n -1 . . . . . . . subtract 2, divide by 19
7 +1 = n = 8 . . . . . . . . add 1
135 is the 8th term of the sequence.
answer: right
reason: because you are talking about the x axis so if you go left that would be a negative and you cant go up and down bc that's the y axis so the only way to go is right
hope this helped
Answer:
Each step is 30 inches
Step-by-step explanation: One yard is 36 inches. 10 yards is 360 inches.
360 divided by 12 is 30.