(a) P( fifth one is bad) = P( first 4 are OK) * P(5th is bad)
= (0.98)^4 * 0.02 = 0.0184 or 1.84%
(b) this will be (0.98)^10 = 81.70%
Integration will be ln | ( x /9 ) + ( 
) | + c .
Given ∫ 1 dx / ( 
- 81 )
Put ,
x = 9 secθ
dx = 9 secθ tanθ dθ
and
= 9 tanθ
Substituting values in ∫ 1 dx / ( - 81 ) ,
∫ (9 secθ tanθ ) dθ / ( 9 tanθ )
∫ secθ dθ = ln | secθ + tanθ | + c
= ln | ( x /9 ) + ( / 9 ) | + c
= ln | ( x /9 ) + ( ) | + c
Hence , the integration will be ln | ( x /9 ) + ( ) | + c .
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Answer:
29
Step-by-step explanation:
20^2+21^2=841
Since there are a total of 10 bottles, the probability of getting a certain one is based on the number of those bottles in the cooler.
The probability of getting a lemon-lime flavored drink is 4/10 or 40%.
The probability of getting a orange flavored drink is 3/10 or 30%
The probability of getting a fruitpunch flavored drink is also 3/10 or 30%.
If the question is asking what the probability is of choosing lemon-lime, fruit punch and fruit punch again in that order, you would multiply the probabilities together.
.4 * .3 * .3 = .036, so there’s a 3.6% chance of picking these exact 3 flavors happening again.
We are given the expression of square root of one over 121 and is asked to simplify the expression. Simply, to answer this question, we take the square root of each number. square root of 1 is 1 while the square root of 121 is 11. Hence the simplified expression becomes 1/11.
