Answer:
0.33411
The probability that a particular criminal trial lasted atleast 24 days is 0.33411
Step-by-step explanation:
The random variable X is normally distributed with a mean of 21 and standard deviation of 7
;
X ~ N(μ = 21 ; σ = 7)
X ~ N(21, 7)
Probability that a trial lasted atleast 24 days :
P(X ≥ 24) :
The standardized score :
Z = (x - μ) / σ ; (24 - 21) / 7 ; 3 / 7 = 0.4286
Hence,
P(Z ≥ 0.4286) = 0.33411
The probability that a particular criminal trial lasted atleast 24 days is 0.33411
Answer with step-by-step explanation:
We are given that the recurrence relation
for n=5,6,7,..
Initial condition
We have to show that Fibonacci numbers satisfies the recurrence relation.
The recurrence relation of Fibonacci numbers
,
Apply this
Substitute n=2
Hence, the Fibonacci numbers satisfied the given recurrence relation .
Now, we have to show that 
is divisible by 5 for n=1,2,3,..
Now replace n by 5n
Apply induction
Substitute n=1
It is true for n=1
Suppose it is true for n=k
is divisible 5
Let 
Now, we shall prove that for n=k+1 is true
It is multiple of 5 .Therefore, it is divisible by 5.
It is true for n=k+1
Hence, the is divisible by 5 for n=1,2,3,..
Answer:
The percentage increase in the cost of Boris car insurance cost is 249%
Step-by-step explanation:
In this question, we want to calculate the percentage increase in the cost of car insurance paid by Boris
Mathematically, to calculate this percentage increase, we shall need to make use of a mathematical formula.
Mathematically, the percentage increase would be;
{(new value paid-old value paid)/old value paid} * 100%
From the question, we can identify that the old value paid is £256 while the new value paid is £894
Thus, the percentage increase would be ;
(894-256)/256 * 100% = 638/256 * 100 = 2.4921875 * 100 = 249.21875 which is 249% increase to the nearest whole percentage
A. 1/1.75 = 3/5.25
Ignore this part I'm just trying to get at least 20 characters.
P(both poodle) = (3/10)(3/10) = 9/100
Answer: The probability of choosing the same puppy is 9/100
