Alright, let's take an example. 1 is less than 2, so we can write it as 1<2. However, if we multiplied both sides by -1 without changing anything else, we get -1<-2, but -1 is greater than -2 because it is less negative, so the correct way of writing it would be -1>-2. Therefore, since a number that is less positive than another becomes less negative (and therefore higher) when both are multiplied by -1, we have to change the side of the inequality
Answer:
By the triangle side length theorem, the sum of the two shorter sides has to be equal to or larger than the third side. Thus, we can write the following inequation.
a
+
b
≥
c
, where a and b are the shorter sides and c the longest.
11, 9 and 15 satisfies this inequality while 11, 9 and 20 doesn't.
Justification:
The reason for this rule is simple; it's because if the longest side is longer than the sum of the two shorter sides, this means that the shorter sides aren't long enough to connect with the longest side, thus rendering the shape a collection of lines and disqualifying the possibility of having a triangle, which was our objective.
Practice exercises:
Which of the following triangles is possible?
a) 4,6 and 14
b) 5,11 and 16
c) 1,3,6
D). 12,19 and 26
Find the smallest possible value of a to make the following an actual triangle :
a
,
14
,
25
Hopefully this helps:
Step-by-step explanation:
The correct answer for this problem is it has infinity solutions. Both equations equal up to t=5 -1/2
Answer:
4.5 or 4 1/2
Step-by-step explanation:
It can be deduced that the probability of having 4 or more correct guesses will be 0.0296.
<h3>How to calculate the probability</h3>
From the given information, the null hypothesis is p = 1/7 and the alternate hypothesis is p>1/7. In this case, the mind reader gets a 4 out of 9 chances.
In order to test the hypothesis, simulations for 10000 cases were run with a probability of the correct answer being 1/7.
In this case, the p-value is the probability of correct answers that are greater than 4, assuming the null hypothesis is true. Here the p-value is 0.0296.
Also, the significance level to reject the hypothesis is less than 0.01. Since p > 0.01, we then fail to reject the hypothesis. Therefore the null hypothesis stands and Joao is not a mind reader.
Learn more about probability on:
brainly.com/question/24756209
