750000+4000 x 4% is 750160
There are 26 integers in the set
. If the wavelength of light is uniformly distributed, then the probability that it has a wavelength of any one of these integers is
, so the distribution of wavelengths has probability mass function
The mean (expected value) is given by
and the variance by
First, the mean:
(rounded up from an exact value of 642.5)
Now for the variance:
Meanwhile,
, which gives a total variance of
(rounded up from 56.5)
Answer:
(- 4, - 12 ) , (4, 12 )
Step-by-step explanation:
Given the 2 equations
y = 3x → (1)
y = x² + 3x - 16 → (2)
Substitute y = x² + 3x - 16 into (1)
x² + 3x - 16 = 3x ( subtract 3x from both sides )
x² - 16 = 0 ( add 16 to both sides )
x² = 16 ( take the square root of both sides )
x = ± = ± 4
Substitute these values into (1) for corresponding values of y
x = - 4 : y = 3 × - 4 = - 12 ⇒ (- 4, - 12 )
x = 4 : y = 3 × 4 = 12 ⇒ (4, 12 )
So you want the totals to be -6 and 10, so for -6, I would do -|3| + -|3|. The negative sign on the outside cancels it out. For 10, you could do |3| + |-7|.
The distance between A and B = |B - A|
We have -12 and -1.
Substitute:
|-1 - (-12)| = |-1 + 12| = |11| = 11
<h3>Answer: 11 units.</h3>