Your equation for the maximum brewing temperature should be x = 200 + 5 because according to your word problem, the temp. can be five degrees above 200 degrees.
x = 200 + 5
x = 205
Your equation for the minimum brewing temperature should be x = 200 - 5 because according to your word problem, the temp. can be five degrees below 200 degrees.
x = 200 - 5
x = 195
Answer:
The 85% confidence interval is (0.2187, 0.2613).
Step-by-step explanation:
We have a large sample of size n = 830 Americans over 45. We have observed that 631 people don't smoke. Let p be the population proportion of Americans over 45 who smoke. An point estimate of p is
and an estimate of the standard deviation of
is
= 0.0148. Therefore, because we have a large sample, the 85% confidence interval for the population proportion is given by
where
is the 7.5th quantile of the standard normal distribution, i.e., -1.4395. Therefore the 85% confidence interval is
or equivalently (0.2187, 0.2613).
If we observe the graph it crosses x-axis at the following points:
1) x = - 2
2) x = - 5
This means, x+ 2 and x + 5 are the factors of the polynomial. A polynomial can be expressed as the product of its factors. So we can express the given polynomial as (x + 2)(x + 5)
Thus the answer to above question is option C
yes, if a point is on the bisector of an angle, then the point is outdistance
from sides of the angle
Answer:

Step-by-step explanation:
The given differential equation is 
The characteristics equation is given by

Finding the values of r

We got a repeated roots. Hence, the solution of the differential equation is given by

On differentiating, we get

Apply the initial condition y (0)= 3 in equation (i)

Now, apply the initial condition y' (0)= 13 in equation (ii)

Therefore, the solution of the differential equation is
