Não, não podemos fazer um triângulo com os comprimentos dos lados de 2 cm, 3 cm e 10 cm. Isso ocorre porque a soma de 2+3 < 10. (in english: No, we cannot make a triangle with the side lengths of measurement 2 cm, 3 cm, and 10 cm. This is because sum of 2+3 < 10).
<h3>What is triangle inequality theorem?</h3>
Triangle inequality theorem of a triangle says that the sum of any of the two sides of a triangle is always greater than the third side.
Suppose a, b and c are the three sides of a triangle. Thus according to this theorem,
Now, for this case, the sides given are:
- a =2 cm,
- b = 3 cm,
- and c = 10 cm
But we see that:
a+ b = 5 cm which is < c which is of 10 cm.
Thus, these lengths don't satisfy the triangle inequality theorem, and therefore, cannot be sides of any triangle.
Learn more about triangle inequality theorem here:
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Answer:
Step-by-step explanation:
It is unclear from the phrasing what dimension 8.2 ft represents.
If 8.2 ft is the direct distance from the edge of the roof to the top of the pitch, then the <em>horizontal</em> distance from the edge to the top is √(8.2²-2.4²) ≅ 7.84 ft, and the slope is 2.4/7.84 ≅ 0.31
If 8.2 ft is the <em>horizontal </em>distance from the edge of the root to the top of the pitch, then the slope is 2.4/8.2 ≅ 0.29
The opposite of -25
to find the opposite of a number, just switch the sign
example : opposite of 3 is -3
opposite of -5 is 5
so the opposite of -25 is 25 <==
Answer: 0.1880
Step-by-step explanation:
The binomial distribution formula is given by :-
where P(x) is the probability of x successes out of n trials, p is the probability of success on a particular trial.
Given : The probability of new vehicles require warranty service within the first year : p =0.13.
Number of trials : n= 12
Now, the required probability will be :
Thus, the probability that none of these vehicles requires warranty service = 0.1880
The lowest score of a negatively skewed distribution is the mean.
A distribution can be symmetrical, negatively skewed or positively skewed.
For a symmetrical distribution, the mean, the median and the mode are all equal.
For a negatively skewed distribution, the mean is the lowest value, followed by the median and then the mode is the highest value.
For a positively skewed distribution, the mean is the highest value, followed by the median and the the mode is the lowest value.
