Answer:


Now we can find the expected value with this formula:

And replacing we got:

Step-by-step explanation:
For this case we know the following probability mass function given:

For this case we need to satisfy the following condition in order to have a probability distribution function:

And we have this:


Now we can find the expected value with this formula:

And replacing we got:

Answer:
x = 21
Step-by-step explanation:
Diagonal angles are equal to eachother, so 143 = 6x +17
143 = 6x + 17
Subtract 17 from both sides
126 = 6x
Divide by 6
21 = x
To check put x as 21
143 = 6(21) + 17
Mutiply 6 by 21
143 = 126 + 17
add 17
143 = 143
Answer:
9
Step-by-step explanation:
Answer:
3 times
Step-by-step explanation:
heaviest : 9/10 kg.. 0.9kg
lightest : 3/10 kg.... 0.3kg
0.3/0.9 = 1/3
For it to be a solution, it has to satisfy both inequalities...
subbing in (-4,-1)
2x + y < -5 -x + y > 0
2(-4) - 1 < - 5 -(-4) - 1 > 0
-8 - 1 < -5 4 - 1 > 0
-9 < -5.....true 3 > 0....true
solution is (-4,-1)