Answer: 0.15
Step-by-step explanation:
Multiply 0.03 by 5.
Answer:
Divergent
Step-by-step explanation:
Divergent, because as the series continues the range of the values increases.
The reverse would be the case in a convergent series.
Answer:
Teacher is 27 years old
Step-by-step explanation:
(1/2)(t - 3) = (1/3)(t + 9)
multiply by 6 to clear the fraction
3(t - 3) = 2(t + 9)
Distribute
3t - 9 = 2t + 18
Subtract 2t from both sides
t - 9 = 18
Add 9 to both sides
t = 27
Teacher is 27 years old
Answer:
Money Ivan gets extra = 120 - 30 (or 3x) = 90
Step-by-step explanation:
Ivan = 4x
Tanya = 1x
Total = 150
4x + x = 150
5x = 150 ; x = 150 / 5 = 30
Ivan = 4x = 120
Tanya = 1x = 30
Money Ivan gets extra = 120 - 30 (or 3x) = 90
Answer: a) P(x=0) = 0.0907, b) P(x≥10) = 0.7986
Step-by-step explanation: the probability mass function of a possion probability distribution is given as
P(x=r) = (e^-λ)×(λ^r) /r!
Where λ = fixed rate at which the event is occurring and each event is independent of each other = 2.4
a) P(x= at least one) = P(x≥1)
P(x≥1) = 1 - P(x<1)
But P(x<1) = P(x=0) { we can not continue to negative values because our values of x can only take positive values of integer}
Hence, P(x≥1) = 1 - P(x=0)
P(x=0) = e^-2.4 * 2.4^0/(0!)
P(x=0) = 0.0907×1/1
P(x=0) = 0.0907
b) if the average number of hits in 1 minutes is 2.4 then for 5 minutes we have 2.4×5 = 12.
Hence λ = 12.
P(x= at least 10) =P(x≥10) = 1 - P(x≤9)
P(x≤9) will be gotten using a cumulative possion probability distribution table whose area is to the left of the distribution.
From the table P(x≤9) = 0.2014.
P(x≥10) = 1 - 0.20140
P(x≥10) = 0.7986
