Answer:
P (A ║ B) = 1.98 %
Step-by-step explanation:
Bayes´ Theorem express
P (A ║ B) = P(A) * P( B ║ A) / P(B)
Now we identify
Event A person infected with a virus. Probability of being infected by a virus is P/A) 0.001
Event B the test was positive. Probability of test positive P(B) = 0,05
Probability of P ( B║ A) is the porbability of test positive given that is infected = 0.99
Then by subtitution in a general equation of the theorem we have
P (A ║ B) = 0.001*0.99/ 0.05
P (A ║ B) = 0.0198 P (A ║ B) = 1.98 %
150 x .30 = 45
You saved $45 if you use the coupon for the skateboard
Answer:
1. x = 3 or x = -8
2. x = -2 or x = 10
Step-by-step explanation:
<u>1. |2x + 5| = 11</u>
2x + 5 = 11 Or 2x + 5 = -11
-5 -5 -5 -5
----------------- -----------------
2x = 6 2x = -16
/2 /2 /2 /2
----------------- -----------------
x = 3 x = -8
<u>2. 3|x - 4| + 1 = 19</u>
3|x - 4| + 1 = 19
-1 -1
----------------------
3|x - 4| = 18
/3 /3
----------------------
|x - 4| = 6
x - 4 = -6 Or x - 4 = 6
+4 +4 +4 +4
----------------- -----------------
x = -2 x = 10
Answer:
A The sum of the first 11 terms is 88
Step-by-step explanation:
Since -4 - (-7) = -1 - (-4) = 2 - (-1) = 3
Your sequence is an arithmetic sequence with a common difference of 3.
The formula for the sum of an arithmetic sequence is
where 
In your case 
, n = 11 and 
We know everything except the eleventh term.
So, we need to find the eleventh term or 
= 
+ (n - 1)d
= -7 + (11 - 1)3
= -7 + 30 = 23
Now, S = 
The sum of the first 11 terms is 88
