Answer:
two hundred thirty thousand
Step-by-step explanation:
-8
the rate of change is -2 and the difference in y from 4 to 8 is 4 so 4 * -2
The z-score is defined as the number of standard deviations above the mean. Its formula is z = (x - mean) / (standard deviation). So if we are given that this player's height has a z-score of 4.10 relative to others, this means that his height is 4.10 standard deviations above the mean.
Answer:
512 square inches
Step-by-step explanation:
If A = s², and 
, then
and
which simplifies to
which simplifies to
Therefore, if 
and 
, then
A = 512 square inches
Answer:
a) ∫_{-6}^{6} ∫_{0}^{36} ∫_{x²}^{36} (-y) dy dz dx
b) ∫_{0}^{36} ∫_{-6}^{6} ∫_{x²}^{36} (-y) dy dx dz
c) ∫_{0}^{36} ∫_{x²}^{36} ∫_{-6}^{6} (-y) dx dy dz
e) ∫_{x²}^{36} ∫_{-6}^{6} ∫_{0}^{36} (-y) dz dx dy
Step-by-step explanation:
We write the equivalent integrals for given integral,
we get:
a) ∫_{-6}^{6} ∫_{0}^{36} ∫_{x²}^{36} (-y) dy dz dx
b) ∫_{0}^{36} ∫_{-6}^{6} ∫_{x²}^{36} (-y) dy dx dz
c) ∫_{0}^{36} ∫_{x²}^{36} ∫_{-6}^{6} (-y) dx dy dz
e) ∫_{x²}^{36} ∫_{-6}^{6} ∫_{0}^{36} (-y) dz dx dy
We changed places of integration, and changed boundaries for certain integrals.
