All categories

3 years ago

What is 37.69911184 rounded to 1 decimal point?

Mathematics

1 answer:

astra-53 [7]3 years ago

3 0

Answer:

37.7

Step-by-step explanation:

One decimal point is one digit after the decimal point. Here, we round up because the digit after the one we're looking for is greater than 4

You might be interested in

DIscrete Math

Daniel [21]

Answer:

Step-by-step explanation:

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

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

3 0

3 years ago

What would be the correlation coefficient (r) of the following scatter plot?

luda_lava [24]

Answer:

-0.89 (i think)

Step-by-step explanation:

Since the graph seems to be going downwards from the right, it has a negative correlation. And since the data seems to be pretty close together, the correlation must be strong. That narrows the answer down to -0.89

If its wrong then i'm not a smart person, and it's -0.15

8 0

2 years ago

Which set of steps shows the solution to the equation 3y = -9?

Lisa [10]

Answer:

see below

Step-by-step explanation:

3y = -9

Divide each side by 3

3y/3 = -9/3

y = -3

8 0

3 years ago

Read 2 more answers

I need help finding perimeter of a rectangle with the side missing

3241004551 [841]

The perimeter of a rectangle is (2 lengths) plus (2 widths).

If one side is missing, then it sounds like you still have enough information
to know what the length and the width are. Just take each number and use
the first line up there /\ to calculate the perimeter with them.

3 0

2 years ago

Type the missing number that makes these fractions equal: 42/48=?/24

elixir [45]

Answer:

Step-by-step explanation:

cross multiply

42 x 24 = 48x

1008 = 48x

x = 21

6 0

2 years ago