Answer:
a)
b)
c) P(X=6)=0
d) P(X=9)=0
Step-by-step explanation:
We know that are 4 men and 6 women are ranked according to their scores on an exam. X = 1 indicates that a man achieved the highest score on the exam.
a) We calculate P(X=2).
We calculate the number of possible combinations
We calculate the number of favorable combinations
We get that is
b) We calculate P(X=3).
We calculate the number of possible combinations
We calculate the number of favorable combinations
We get that is
c) We calculate P(X=6). This case is not possible because 6 men cannot be selected because we have been given 4 men.
We conclude P(X=6)=0.
d) We calculate P(X=9). This case is not possible because 9 men cannot be selected because we have been given 4 men.
We conclude P(X=9)=0.
Answer: C
Steps: 4x + y = -4, x + y = 2
Isolate the x for (x + y = 2): x = 2 - y
Plug the value of x into the other equation: 4(2 - y) + y = -4
Simplify: -4y + 8 + y = -4
Combine like variables (letters): -4y + y = -3y
So -3y + 8 = -4
Subtract eight from both sides: -3y + 8 - 8 = -4 - 8
-3y = -12
Divide both sides by negative three: -3y ÷ -3 = -12 ÷ -3
Simplify: y = 4
Plug the value of y into one of the original equations (I'll use x + y = 2):
So x + 4 = 2
Isolate the x variable: x = -2
X is equal to four cause divide 15 by 3 and divide 6 by 3
To find the length of a hypotenuse of a right triangle you use the formula
a^2 + b^2 = c^2
a = opposite side
b = adjacent side
c = hypotenuse
Answer:
c−12!
Step-by-step explanation:
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