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lana [24]
2 years ago
13

A bakery has 245 dozen cupcakes. How many individual cupcakes are there?

Mathematics
2 answers:
Irina18 [472]2 years ago
7 0
2,940
12x245=2,940
Because a dozen=12
So you multiply 12x245=2,940
balu736 [363]2 years ago
4 0

Answer: 2,940

Step-by-step explanation: 245 x 12= 2,940

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3 years ago
DIscrete Math
Daniel [21]

Answer:

Step-by-step explanation:

As the statement is ‘‘if and only if’’ we need to prove two implications

  1. f : X \rightarrow Y is surjective implies there exists a function h : Y \rightarrow X such that  f\circ h = 1_Y.
  2. If there exists a function h : Y \rightarrow X such that  f\circ h = 1_Y, then f : X \rightarrow Y is surjective

Let us start by the first implication.

Our hypothesis is that the function f : X \rightarrow Y is surjective. From this we know that for every y\in Y there exist, at least, one x\in X such that y=f(x).

Now, define the sets X_y = \{x\in X: y=f(x)\}. Notice that the set X_y is the pre-image of the element y. Also, from the fact that f is a function we deduce that X_{y_1}\cap X_{y_2}=\emptyset, and because  f the sets X_y are no empty.

From each set X_y  choose only one element x_y, and notice that f(x_y)=y.

So, we can define the function h:Y\rightarrow X as h(y)=x_y. It is no difficult to conclude that f\circ h(y) = f(x_y)=y. With this we have that f\circ h=1_Y, and the prove is complete.

Now, let us prove the second implication.

We have that there exists a function  h:Y\rightarrow X  such that f\circ h=1_Y.

Take an element y\in Y, then f\circ h(y)=y. Now, write x=h(y) and notice that x\in X. Also, with this we have that f(x)=y.

So, for every element y\in Y we have found that an element x\in X (recall that x=h(y)) such that y=f(x), which is equivalent to the fact that f is surjective. Therefore, the prove is complete.

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2 years ago
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The third number is 20
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Least to greatest is r, t, k, h<span />
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Find the mean absolute deviation of the set of data 3,8,10,12,15
inn [45]

Answer:

3.28

Step-by-step explanation:

find the mean of all the numbers

3 + 8 + 10 + 12 + 15 = 48

48/5=9.6

so the mean of all the numbers is 9.6

now subtract 9.6 from all the numbers

|3 - 9.6| = 6.6

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3 years ago
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