I am not sure if this is correct, but it's what I got. 122.72 feet per minute.
Answer:
107
Step-by-step explanation:
Since we know that the triangles have the same 3 sides, they are congruent (SSS). We also know that a triangle's angles add up to 180 degrees.
We first need to add 41 and 32 to give us the number we need to subtract from 180.
41+32=73
Now we need to subtract from 180 degrees.
180-73=107
If 107 is the measure of angle D, then according to SSS congruence it is also the measure of angle B.
HTH :)
Answer: It would be 43 mittens
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean
and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this problem
Sample of 121, which is higher than 30.
So we do not need to know anything about the shape of the distribution in order to make an interval estimate of the mean of all the account balances.
So the answer is False
Answer:
A) -2
Step-by-step explanation:
The form is indeterminate at x=0, so L'Hopital's rule applies. The resulting form is also indeterminate at x=0, so a second application is required.
Let f(x) = x·sin(x); g(x) = cos(x) -1
Then f'(x) = sin(x) +x·cos(x), and g'(x) = -sin(x).
We still have f'(0)/g'(0) = 0/0 . . . . . indeterminate.
__
Differentiating numerator and denominator a second time gives ...
f''(x) = 2cos(x) -sin(x)
g''(x) = -cos(x)
Then f''(0)/g''(0) = 2/-1 = -2
_____
I like to start by graphing the expression to see if that is informative as to what the limit should be. The graph suggests the limit is -2, as we found.