<span>If you plug in 0, you get the indeterminate form 0/0. You can, therefore, apply L'Hopital's Rule to get the limit as h approaches 0 of e^(2+h),
which is just e^2.
</span><span><span><span>[e^(<span>2+h) </span></span>− <span>e^2]/</span></span>h </span>= [<span><span><span>e^2</span>(<span>e^h</span>−1)]/</span>h
</span><span>so in the limit, as h goes to 0, you'll notice that the numerator and denominator each go to zero (e^h goes to 1, and so e^h-1 goes to zero). This means the form is 'indeterminate' (here, 0/0), so we may use L'Hoptial's rule:
</span><span>
=<span>e^2</span></span>
Note that the interior angles must add up to 180 degrees: 50+62+m<C = 180.
Then 112 + m<C = 180, so that m<C =68 degrees.
Use the Law of Sines to find the value of a, as follows:
sin 50 deg sin 62 deg
-------------- = ----------------
a 31 cm
31sin 50 31(0.766)
Then 31sin 50 = a*sin 62, and a = --------------- = ---------------- = 26.9 cm
sin 62 0.883
a =
Answer:
no ... the pin will not fit the reamed hole
Step-by-step explanation:
The decimal equivalent of 7/32 is 0.21875. This is larger than the reamed
hole: 0.215
and so the answer is no ... the pin will not fit the reamed hole.
Answer:
x y
2 2
5 5
8 8
11 11
Step-by-step explanation:
it goes on and on and on
Answer: (0.1658, 0.2742)
Step-by-step explanation:
Formula to find the confidence interval for population proportion is given by :-

, where n= sample size
z*= Critical value
= sample proportion.
As per given , we have
Significance level : 
According to z-table, Critical value for 99% confidence interval : z*=2.576
Let p be the proportion of people in the country that have red hair.
n= 388

Now, required confidence interval for proportion of people in the country that have red hair will be :-




The 99% confidence interval for the proportion of people in the country that have red hair= (0.1658, 0.2742)