X+x+1+x+2+x+3=50
4x+6=50/-6
4x=50-6=44
x=44:4=11
⇒The 1st number is 11, the 2nd is 12, the 3rd is 13 and the 4th is 14.
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11+12+13+14=50
If you don't understand something,please ask me.
Answer:
a) the probability that Kim wins the match is 0.7046
b) the probability that Kim wins the match in exactly 2 sets is 0.4096
c) the probability that 3 sets are played is 0.4608
Step-by-step explanation:
a) <u>Kim's wins:</u>
- P(Kim wins first two sets) =0.64×0.64=0.4096
- P(Kim wins first set, Susan wins second set, Kim wins third set)=0.64×0.36×0.64≈0.1475
- P(Susan wins first set, Kim wins second and third set)= 0.36×0.64×0.64≈0.1475
P(Kim wins)=0.4096+0.1475+0.1475=0.7046
b) <u>Kim wins the match in exactly 2 sets</u>
- P(Kim wins first two sets) =0.64×0.64=0.4096
c) <u>3 sets are played</u>
P(Kim wins first set, Susan wins second set, Kim wins third set)=0.64×0.36×0.64≈0.1475
P(Susan wins first set, Kim wins second and third set)= 0.36×0.64×0.64≈0.1475
P(Kim wins first set, Susan wins second and third set)=0.64×0.36×0.36≈0.0829
P(Susan wins first set, Kim wins second set and Susan wins third set)=0.36×0.64×0.36≈0.0829
P(3 sets are played)=0.1475+0.1475+0.0829+0.0829=0.4608
Let first no. Be=x
Second no.= -2x
Answer:
1 7/20
Step-by-step explanation:
well 27/20 is 1 and 7/20
make it to a improper fraction
Answer:
The correct option is the option with:
cos Θ = 1/2
tan Θ = -√3
Step-by-step explanation:
Given that
sin Θ = -√3/2
We want to find the values of
cos Θ and tan Θ
First of all,
arcsin (-60) = -√3/2
=> Θ = 60
tan Θ = (sin Θ)/(cos Θ)
tan Θ = (-√3/2)/(cos Θ)
cos Θ tan Θ = (1/2)(-√3)
Knowing that Θ = -60,
and cos Θ = cos(-Θ), comparing the last equation, we have
cos Θ = 1/2
tan Θ = -√3