There are C(30, 6) = 30!/(6!*(30-6)!) = 593,775 ways to pick 6 numbers from the first 30 positive integers.
The probabilty of matching 6 randomly chosen integers is 1/593,775.
Answer:
x = 8
Step-by-step explanation:
The mean is the average of the population.
Multiplying the mean by 8 terms will get you the total sum.
12 * 8 = 96
Subtracting all the values from the total sum should get you x.
96 - 18 - 15 - 18 - 3 - 3 - 19 - 12 = 8
Answer is x = 98
See picture attached. First I finished the transversal line across the parallel lines. Then I used opposite interior angle theorem to find the 144 deg. Angle. Then I found the 36 degree angle in the triangle (180-144=36). Then I found the third angle in the triangle using the 180 degree supplementary angle theorem again, all three add up to 180, so 180-62-36= 82. Vertical angles are congruent so the opposite angle of 82 is also 82. Then I could find “x” using the 180 degree supplementary angle theorem again. 180-82= 98. Problem solved.
Answer:
x^2+(4/3)x+1/3
Step-by-step explanation:
In order to find the quadratic equation, you put the roots in this format:
(x-a)(x-b)=0
(x-(-1/3))(x-(-1))=0
(x+1/3)(x+1)=0
Then you would solve:
x^2+x+(1/3)x+1/3
= x^2+(4/3)x+1/3
Hope this helps!
Answer:
the answer is 1024
Step-by-step explanation: