X=4
explanation:
-reduce the fraction
-make the numerators equal
-divide both sides by 5
The graph Plot of the given results shown represents; A relation only
<h3>How to interpret a scatter plot?</h3>
For it to be a function, then no x-value can produce more than 2 y-values. However, we see that at x = 25, y has 2 values. Similarly, at x = 15, y has two values.
Thus, the graph plot can only be a relation as it is not a function as seen from the points plotted in the graph.
The complete question is;
Mrs. Anderton is giving a test in her third-period class. She has decided to record the amount of time that each student takes to finish the test (in minutes) and compare that to the grade each student receives on the test (out of 100). A plot of her results is below. Which of the following does this situation represent?
A. both a relation and a function
B. a function only
C. neither a relation nor a function
D. a relation only
Read more about Scatter Plot at; brainly.com/question/6592115
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Answer:
5
Explanation:
Let the number equal x. Half the number is then
x
2
and the reciprocal of that is
2
x
The reciprocal of the number is
1
x
and half that is
1
2
x
then
2
x
+
1
2
x
=
1
2
4
x
+
x
2
x
2
=
1
2
10
x
=
2
x
2
2
x
2
−
10
x
=
0
2
x
(
x
−
5
)
=
0
Zero is not viable solution as its reciprocal is infinity. The answer is therefore
x
=
5
Use combination
There are 4 queen cards in a deck of 52 cards
Probability = 4C2 / 52C2
I calculate 4C2 first
4C2 = 4! / (2! 2!)
4C2 = (4 × 3 × 2 × 1) / (2 × 1 × 2 × 1)
4C2 = 6
Then I calculate 52C2
52C2 = 52! / (50! 2!)
52C2 = (52 × 51)/2
52C2 = 1.326
Hence, the probability is
Probability = 4C2 / 52C2
Probability = 6/1,326
Probability = 1/221
The scale factor of DEFG to PQRS is: 3/8.
<h3>What is a Scale Factor?</h3>
- A scale factor of a dilation is the number by which the size of an original figure is changed to a new figure.
- Scale factor is ratio of corresponding side of new figure to original figure.
Thus:
DE corresponds to PQ.
PQRS is the new figure.
DE = 8; PQ = 3
Scale factor of DEFG to PQRS = PQ/DE
Scale factor = 3/8.
Thus, the scale factor of DEFG to PQRS is: 3/8.
Learn more about scale factor on:
brainly.com/question/2826496