Ok, so:
For Part A, we have: P(Z|A)=P(Z and A)/P(A)
And if we replace, we got:
P(Z|A) = (0.15)/(0.25) and this is equal to 0.6.
For Part B, we have: P(A|Z)=P(Z and A)/P(Z)
P(A|Z) = (0.15)/(0.73) and this is equal to 0.205.
Answer:
Step-by-step explanation:
Eight
590 = 1800 e^(-0.4t) Divide by 1800
0.32778 = e^(-0.4t) Put the value for e in the denominator.
0.32778 = 1 / e^(0.4t) Notice the sign's gone. Multiply both sides by e^(0.4t)
0.32778 *e^(0.4t) = 1 Divide by 0.32778
e^(0.4t) = 3.0508 Take the natural log of both sides.
0.4t = 1.11542 Divide both sides by 0.4
t = 2.78855
You should put this in the original equation to see if it checks. It does.
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Nine
3^(3 - 3x) + 6 = 42 Subtract 6 from both sides
3^(3 - 3x) = 36 Take the log of both sides.
(3 - 3x) ln(3) = ln 36
(3 - 3x) *1.098612 = 3.58352 Divide by 1.098612
3 - 3x = 3.26186 Subtract 3 from both sides
- 3x = 0.26186 Divide by - 3
x = - 0.087287
Anwser is 15 beacuse i got the anwser right now
nswer:
Step-by-step explanat
|x+2| - 1 ≥ 5
|x+2| ≥ 5+1
|x+2| ≥ 6
x+2 ≥ 6 hoặc x+2 ≤ -6
+ với x+2 ≥ 6 x ≥ 6 – 2 x ≥ 4
+ với x+2 ≤ -6 x ≤ -6 – 2 x ≤ -8
(-∝;-8)∪(4;+∝)
You can use substitution for this.
x+5 = 5x -11
Combine like terms
16=4x
Divide 4 on both sides to isolate the x
x=4
Plug x=4 to one of the equations
y= 4 +5
Combine like terms
y=9
So the answer is A. (4,9)
I hope this helps you out a bunch hun :)
