I think it’s D. 102 but it may not be.
Answer:
And we can find this probability with this difference:
Step-by-step explanation:
Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:
Where and
We want to find the following probability:
And we can use the z score formula given by:
And using this formula we got:
And we can find this probability with this difference:
242mg
Explanation:
You would create a ratio for this situation
3oz/22mg=33oz/x
So we know 3*11=33 so we would do 22*11 and get 242 mg
<h3>
Answer: x-4</h3>
We simply drop the absolute value signs and write whatever is inside
This is because |x-4| is really composed of two equations and it depends on what x is
If x < 4, then we use -(x-4) or -x+4
If x >= 4, then we use x-4
This is from the idea that |x| breaks down into this piecewise function
Replace every x with x-4
Then for each inequality, you would solve for x to get the following
which is the same as
Answer:
y = 1/e
y = 0.37
Step-by-step explanation:
y = (ln x)/x; (e, 1/e)
Step 1
Find the point of tangency.
It's given as (e,1/e) or (2.72,0.37)
Step 2
Find the first derivative, and evaluate it at x=e
Using product rule.
d(uv) = udv + vdu
Where u = lnx and v = 1/x
du = 1/x , dv = -1/x^2
f'(x) = -lnx/x^2 +1/x^2
f'(x) = (1-lnx)/x^2
At x = e
f'(e) = (1-lne)/e^2
f'(e) = 0
The slope of the tangent line at this point is m= 0
Step 3
Find the equation of the tangent line at (e,1/e) with a slope of m=0
y−y1 = m(x - x1)
y-(1/e) = 0(x-1)
y = 1/e
y = 0.37