Answer:
a. answer choice c
b. 20301
Step-by-step explanation:
You first need to understand a formula for finding the sum of consecutive integers starting from one: (m*(m+1))/2, m is the biggest number in the set.
a. The biggest number in your set is 100, so we plug in 100 for m and solve:
100*101/2=50*101=5050
b. Same thing. Use the formula t plug in 201 for m:
201*202/2=201*101=20301
The only reason you have the picture next to your question is to prove the formula (m*(m+1))/2.
Answer:
4.875
Step-by-step explanation:
LM = 16,
MN = 13x
LN = 19x + 10
Now look at the alphabets and imagine the line in your head. just take it as a straight line
L M N
|---------------|------------------|
Like this, so we can see that LM+MN = LN
Therefore
LM +MN = LN
16 + 3x = 19x + 10
3x - 19x = - 16 +10
-16x = - 6
16x = 6
8x = 3
x = 3/8
Now put this value of x into MN
MN =13x
= 13 (3/8)
=4.875
(8, 11) is the correct solution. x = 8, y = 11
Plug it in:
11-8=3
That's correct.
Answer:
0.1606 = 16.06% probability that the number of births in any given minute is exactly five.
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given interval.
In this question:
We only have the mean during an interval, and this is why we use the Poisson distribution.
The mean number of births per minute in a given country in a recent year was about 6.
This means that 
Find the probability that the number of births in any given minute is exactly five.
This is P(X = 5). So
0.1606 = 16.06% probability that the number of births in any given minute is exactly five.
Since the time to failure distribution is
exponential, the distribution is F (n) = 1 – e ^ (-x/48)
The probability of failure between months 60
and 72 is the same as the probability that the battery will fail in 12 months,
since the exponential distribution is memoryless F (12) = 0.221
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