Answer:
rational
Step-by-step explanation:
In the
direction we consider the
subintervals [0, 1] and [1, 2] (each with length 1), while in the
direction we consider the
subintervals [0, 2] and [2, 4] (with length 2). Then the lower right corners of the cells in the partition of
are (1, 0), (2, 0), (1, 2), (2, 2).
Let
. The volume of the solid is approximately

###
More generally, the lower-right-corner Riemann sum over
and
subintervals would be

Then taking the limits as
and
leaves us with an exact volume of
.
Answer:
2775 ways
Step-by-step explanation:
We have been given the case to choose exactly two tails when flipped 75 times means 
Since,
is equal to
Here n =75, r=2 substituting the values we will get


After simplification we will get 
Cancel out the common term that is 73! we will get
after more simplification we will get 
Finally, we will get 
Answer:
92 tablespoons
Step-by-step explanation:
16 tablespoons = 1 cup, in the recipe you need 1/4 cup for a batch, Rhonda needs 23 batches, so 23/4 to get the 1/4 cup, that's 5.75 cups, then you do 5.75*16 to get the tablespoons
12, 13, 15, 17, 17, 20 are the numbers in order
The median (middle number) would be 15 and 17
If there are 2 medians, you need to add both of them and divide by 2
15 + 17 = 32
32/2 = 16
So the median is 16