Answer:
Converges to
Step-by-step explanation:
= =
steps:
<em>write improper integral as a limit</em>
<em>solve integral</em>
<em>apply limit</em>
<em>If limit exists and this number is finite, the improper integral converges</em>
Answer: Length is 15 and width is 91
Step-by-step explanation:
If the length is 16 more than 5 times the width, that means:
let's say
x=length
y=width
2x+2y=212
If the length is 16 more times than 5 times the width, that means
y=5x+16
now we can substitute all y's for 5x+16:
2x+(5x+16)2=212
=2x+10x+32=212
=12x+32=212
=12x=180
x=15
If the length is 15, the width is
15*2+2y=212
=30+2y=212
=182/2
y=91
Answer: (B) 53%
Step-by-step explanation:
Given : The probability that registered voters are Democrats P(D)= 0.60
The probability that of registered voters are Republicans P(R)= 100%-60%=40% =0.4
The probability that the registered voters who are Democrats are expected to vote for Candidate A : P(A|D)=0.75
The probability that the registered voters who are Republicans are expected to vote for Candidate P(A|R) = 0.20
Then by using Law of total probability , the probability of the registered voters are expected to vote for Candidate A :-
Hence, the percent of the registered voters are expected to vote for Candidate A=53%
Hence, the correct option is (B).
B is equivalent to the equation
3(3)/5(3) + 2(5)/3(5) = 9/15 + 10/15 = 19/15