Answer:
x = 1/9
Step-by-step explanation:
8x + 2 = 3 - x
Add x to both sides.
9x + 2 = 3
Subtract 2 from both sides.
9x = 1
Divide both sides by 9.
x = 1/9
Answer:
a) 
b) 
c) 
d) 
And we can find this probability with this formula from the Bayes theorem:
Step-by-step explanation:
For this case we assume that the random variable X follows this distribution:

Part a
The probability density function is given by the following expression:


Part b
We want this probability:

And we can use the cumulative distribution function given by:

And replacing we got:

Part c
We want this probability:

And we can use the CDF again and we have:

Part d
We want this conditional probabilty:

And we can find this probability with this formula from the Bayes theorem:

Answer: 1. 2nd endpoint (24,-18) 2. 2nd endpoint: (-19,4)
Step-by-step explanation:
1.
= 7 x = 24
= -6 y= -18
2nd endpoint: (24,-18)
2.
= -10 x= -19
= 2 y= 4
Answer:
-22
Step-by-step explanation:
equantion: (n + 15).6= -42
n = -22
Answer:
6 cups
Step-by-step explanation:
We can use ratios to solve
1 cup lemon 3 cups lemon
------------------- = ---------------
2 cups sugar x cups sugar
Using cross products
1 * x = 2 * 3
x = 6