By verbal reasoning, the pair of words required can be obtained from the
synonyms of the given pair.
Correct response:
- <u>Variable</u>; <u>supposition</u>
<h3>Analysis used for making the above selection</h3>
Prediction: A prediction is a statement indicating the result to be
expected from a trial or test, based on deductive reasoning from a
theory or hypothesis.
An explanation is a statement describing a phenomenon and is taken as
an hypothesis.
A variable is an outcome of a test or trial, or observation.
A supposition is a held notion or belief that is similar to a hypothesis.
Therefore;
Prediction is to explanation as <u>variable</u> is to <u>supposition</u>.
Learn more about prediction and variables here:
brainly.com/question/17372552
The answer is C
Since its a parallelogram, the opposite side is also 12. 12+12=24, 72-24=48, 48/2=24 which is the other 2 sides
13-4x=1-x
13=4x+x=1-x+x
13-3x=1
13-1-3x=1-1
12-3x=0
12=3x
12/3=3x/3
4=x
Therefore, x=4
Answer:
Step-by-step explanation:
Two lines are perpendicular if the first line has a slope of 
and the second line has a slope of 
.
With this information, we first need to figure out what the slope of the line is that we're given, and then we can determine what the slope of the line we're trying to find is:
We now know that 
for the first line, which means that the slope of the second line is 
. With this, we have the following equation for our new line:
where 
is the Y-intercept that we now need to determine with the coordinates given in the problem statement, 
:
Finally, we can create our line:
Answer: a) 1 / ⁴⁰C₅ b) 0.33
Step-by-step explanation:
a) The sample space consists of all numbers 1-40.
Since any of the number can be taken from the sample space so each of five 5 distinct numbers we take has equal probability of occurring. So probability of each 5 numbers set we take will be equal to 1 / ⁴⁰C₅
b)
If we pick exactly 3 even number then that means other 2 will be odd.
So, we have sample space of 40 numbers out of which 20 are even and 20 are odd.
Now we have to pick 3 even out of 20 and 2 odd out of 20.
Probability = ²⁰C₃ * ²⁰C₂ / ⁴⁰C₅
Probability= 0.33
