Answer:
<h2>a) Número de personas que suben a un autobús en una parada.</h2><h2>c) Conocer el ganador de la Liga de Campeones.</h2>
Step-by-step explanation:
This problem is about random experiments.
Random experiments are defined as experiments where the outcome can't be predicted. To ensure that result, the subjects are selected randomly. So, in this case, the right answer must be a situation where subjects are randomly present.
People taking the bus is a random experiment, because there's no the exact subjects in a bus at any time, it happens randomly.
Also, the winner of a sport league is also a random experiment, because it happens after several games which cannot be predicted.
Therefore, the right answers are a and c.
To find median, you must first order the numbers from least to greatest.
$3.85, $4.79, $4.85, $5.38, $5.96
Since there is an odd amount of numbers, the median is the middle number.
In this case, the number in the middle is $4.85.
This means that the median is $4.85.
Hope this helps!
Answer:
1st
Step-by-step explanation:
Answer:
1. B (obtuse)
2. Obtuse
3. 20.92
Step-by-step explanation:
1.
We need to use the converse of the pythagorean theorem to solve this problem. Given that c is the longest side of a triangle, and a and b are the other two sides. The triangle is right triangle if ![c^2=a^2 +b^2](https://tex.z-dn.net/?f=c%5E2%3Da%5E2%20%2Bb%5E2)
The triangle is acute triangle if ![c^2 < a^2 + b^2](https://tex.z-dn.net/?f=c%5E2%20%3C%20a%5E2%20%2B%20b%5E2)
The triangle is obtuse triangle if ![c^2 > a^2 + b^2](https://tex.z-dn.net/?f=c%5E2%20%3E%20a%5E2%20%2B%20b%5E2)
the longest side of this triangle is 47, so we check:
, and
![34^2 + 20 ^2 =1556](https://tex.z-dn.net/?f=34%5E2%20%2B%2020%20%5E2%20%3D1556)
Hence, c^2 is GREATER than a^2 + b^2, so the triangle is obtuse.
2. Using the points we showed above, we can again summarize:
- If
-- Right Triangle - if
-- Acute Triangle - if
-- Obtuse Triangle
This triangle's c (longest side) is 5. Let's check:
5^2 = 25, and
![(1.2)^2 + (4.6) ^2=22.6](https://tex.z-dn.net/?f=%281.2%29%5E2%20%2B%20%284.6%29%20%5E2%3D22.6)
Hence, c^2 is GREATER than a^2 +b^2, so the triangle is obtuse.
3.
The side opposite of the 90 degree angle is the <em>"hypotenuse"</em>, that is x. The side opposite the 35 degree angle is <em>"opposite"</em> side.
The trigonometric ratio that related "opposite" side to "hypotenuse" side is SINE. So we can write:
![Sin(35)=\frac{Opposite}{Hypotenuse}\\Sin(35)=\frac{12}{x}](https://tex.z-dn.net/?f=Sin%2835%29%3D%5Cfrac%7BOpposite%7D%7BHypotenuse%7D%5C%5CSin%2835%29%3D%5Cfrac%7B12%7D%7Bx%7D)
Now, cross multiplying and solving:
![Sin(35)=\frac{12}{x}\\x*Sin(35)=12\\x=\frac{12}{Sin(35)}\\x=20.92](https://tex.z-dn.net/?f=Sin%2835%29%3D%5Cfrac%7B12%7D%7Bx%7D%5C%5Cx%2ASin%2835%29%3D12%5C%5Cx%3D%5Cfrac%7B12%7D%7BSin%2835%29%7D%5C%5Cx%3D20.92)
Answer:
2x-3
Step-by-step explanation:
For this problem, we need to use the Distributive Property.
<u>Use the Distributive Property:</u>
<u />![-1/4(-8x+12)](https://tex.z-dn.net/?f=-1%2F4%28-8x%2B12%29)
![2x-3](https://tex.z-dn.net/?f=2x-3)
2x-3 is your answer.