According to a calculator it says 10.4235941176471 Have a good day! Brainliest Answer please ?
Answer:
A. 0.62%
B. 28 months
Step-by-step explanation:
A. Calculation for what percentage of total production will the company expect to replace
Let x represents the distribution of life times
Let mean be 34 months
Let standard deviation be 4 months.
Based on the information the full refund on any defective watch for 2 years will represent 24 months (2 years *12 months).
First step
P(X<24)
= p(x-mean/ standard deviation< 24-34/4)
= p(z< -10/4)
=P(z<-2.5)
Second step is to Use the excel function to find NORMSDIST(z) of P(z<-2.5)
NORMSDIST(z)=0.62%
Therefore the percentage of total production will the company expect to replace will be 0.62%
B. Calculation for how much the guarantee period should be
First step
P(X<x)=0.06
P(x-Mean/Standard deviation < x-34/4) = 0.06
Second Step is to Use excel function
P(z<x-34/4) = (Normsinv(0.06)
x-34/4 = -1.555
Now let calculate how much the guarantee period should be
x = -6.22+34 months
x = 27.78
x = 28 months (Approximately)
Therefore the guarantee period should be 28 months
Answer:
Option A = 75 is the best option
Step-by-step explanation:
It took Ashlie 2.5 hours (11:30 am - 2pm) to assemble the marketing packets
Rate = Number of jobs done/Time taken = 90 packages/hr
Number of jobs done = Rate * Time taken = 90 * 2.5 = 225 packages.
Dwayne has assembled the same number of packages = 225 (as reported in the question),
It took Ashlie 2.5 hours (11 am - 2pm)
Then, his work rate is calculated as: Number of jobs done/Time taken = 225 packages/3 hours = 75
Thus, option A = 75 is the best option
Answer:
a) See the proof below.
b) 
Step-by-step explanation:
Part a
For this case we assume that we have the following series
and this series has a finite radius of convergence
and we assume that
for all n, this information is given by the problem.
We assume that the series converges at the point
since w eknwo that converges, and since converges we can conclude that:
For this case we need to show that converges also for 
So we need to proof that 
We can do some algebra and we can rewrite the following expression like this:
and we see that the last series is alternating.
Since we know that
converges then the sequence {
} must be positive and we need to have
And then by the alternating series test we can conclude that
also converges. And then we conclude that the power series
converges for
,and that complete the proof.
Part b
For this case we need to provide a series whose interval of convergence is exactly (-1,1]
And the best function for this 
Because the series
converges to
when
using the root test.
But by the properties of the natural log the series diverges at
because
and for
we know that converges since
is an alternating series that converges because the expression tends to 0.