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2 years ago

Write 4/25 as a decimal

Mathematics

2 answers:

DIA [1.3K]2 years ago

4 0

4/25 as a decimal is 0.16.
Hope this helps:)

skelet666 [1.2K]2 years ago

3 0

4/25x4/4=16/100=0.16

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The coordinates of the vertices of △JKL are J(1, 4) , K(6, 4) , and L(1, 1) .

gayaneshka [121]

Translation 1 unit left and rotation of 90 degrees counterclockwise

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3 years ago

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Solve for x. 25x=65 x = 1225 x = 125 x = 3 x = 6

masya89 [10]

25x=65

We divide 25 to cancel it out.

65/25=2.6

I would assume 3, because 2.6 is 3 when rounded up.

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hope it helps

3 0

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

$f : X \rightarrow Y$ 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.

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2 years ago

What is the value of x? a. 71° b. 142° c. 152° d. 76°

alexgriva [62]

The sum of the measures of the angles of a triangle is 180 degrees.
An isosceles triangle has two congruent sides.
The angles opposite the congruent sides are congruent.
Just like the bottom left angle measures x, the bottom right angle also measures x.

x + x + 38 = 180

2x + 38 = 180

2x = 142

x = 71

3 0

3 years ago

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The SAT mathematics scores in the state of Florida for this year are approximately normally distributed with a mean of 500 and a

Greeley [361]

The correct answer is 47.5%, or 0.475.

Explanation:
The empirical rule states that in any normal distribution:

68% of data will fall within 1 standard deviation of the mean;
95% of data will fall within 2 standard deviations of the mean; and
99.7% of data will fall within 3 standard deviations of the mean.

The mean is 500 and the standard deviation is 100. This means that 700 is 2 standard deviations away from the mean:

(700-500)/100=200/100=2.

We know that 95% of data will fall within 2 standard deviations from the mean. However, included in the 95% is data less than the mean and greater than the mean. Since we are only concerned with the scores from 500 to 700, we only want the half that is greater than the mean:

95/2 = 47.5%, or 0.475.

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3 years ago

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