Count the number of 5-digit numbers (in the decimal system; integers from 10000 to 99999) which are not divisible by 11.
1 answer:
Answer:
So total number which is not divisible by 11 = 89999-8181 = 81819
Step-by-step explanation:
We have to find the total numbers which are not divisible by 11 from 10000 to 99999
Total number from 10000 to 99999 = 99999-10000+1=90000
Just after 10000 the number which is divisible by 11 is 10010
And just below 99999 the number which is divisible by 11 is 99990
Using AP formula
, here a is first term, d is common difference and n is number of terms
So
n-1 = 8180
n= 8181
So total number which is not divisible by 11 = 90000-8181 = 81819
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We want to solve
y'' + 3y' = 0
Solve the indicial equation.
m² + 3m = 0
m(m + 3) = 0
m = 0 or m = -3
The basic solutions are e⁰=1 and
.
Answer:
The general solution is
y'' + 3y' = 0
Solve the indicial equation.
m² + 3m = 0
m(m + 3) = 0
m = 0 or m = -3
The basic solutions are e⁰=1 and
Answer:
The general solution is
Answer:
Step-by-step explanation:
Assuming conditions are met, the formula for a confidence interval (CI) for the difference between two population proportions is where
and
are the sample proportion and sample size of the first sample, and
and
are the sample proportion and sample size of the second sample.
We see that and
. We also know that a 98% confidence level corresponds to a critical value of
, so we can plug these values into the formula to get our desired confidence interval:
Hence, we are 98% confident that the true difference in the proportion of people that live in a city who identify as a democrat and the proportion of people that live in a rural area who identify as a democrat is contained within the interval {-0.2941,-0.0337}
The 98% confidence interval also suggests that it may be more likely that identified democrats in a rural area have a greater proportion than identified democrats in a city since the differences in the interval are less than 0.