Answer:
shows a cone pouring water twice into a sphere with the same radius/height to fill it to the top. Because it takes two cones to fill one sphere, we can use the volume of a cone formula as a starting point to derive the volume of a sphere
Answer:
15.455
Step-by-step explanation:
W^2-10w-10
Step-by-step explanation:
D=w^2-7
C=3+10w
D-C
(W^2-7)-(3+10w)
W^2-7-3-10w
Answer:
(a) The probability is 0.6514
(b) The probability is 0.7769
Step-by-step explanation:
If the number of accidents occur according to a poisson process, the probability that x accidents occurs on a given day is:

Where a is the mean number of accidents per day and t is the number of days.
So, for part (a), a is equal to 3/7 and t is equal to 1 day, because there is a rate of 3 accidents every 7 days.
Then, the probability that a given day has no accidents is calculated as:


On the other hand the probability that February has at least one accident with a personal injury is calculated as:
P(x≥1)=1 - P(0)
Where P(0) is calculated as:

Where a is equivalent to (3/7)(1/8) because that is the mean number of accidents with personal injury per day, and t is equal to 28 because 4 weeks has 28 days, so:


Finally, P(x≥1) is:
P(x≥1) = 1 - 0.2231 = 0.7769
9514 1404 393
Answer:
19. B -- continued, but modest ...
Step-by-step explanation:
19. There is no decline or decrease indicated on this graph. If growth were exponential, the graph would be concave upward, which it is not. There is continued growth indicated.
__
20. The percentage change from 2005 to 2010 is ...
(60 -20)/20 × 100% = 2 × 100% = 200%
One might compute an average rate of change per year of ...
200%/(5 yr) = 40%/yr
_____
<em>Additional comment</em>
As with any statement of percentage, you need to be very clear about what the base is.
Here, 100% is the number of farms in 2005, so an increase of 40% per year is an increase by 40% of the number in 2005. That is very different from 40% of the number in the previous year, which is how an annual percentage increase is usually interpreted. (The average annual rate of change is closer to 24% with respect to the previous year's number.)