Answer:
Falso.
Step-by-step explanation:
Acá tenemos la proposición:
"En una multiplicación, si un factor es un número natural y el otro es un número entero negativo, el producto es siempre menor que cada uno de los factores."
Primero tratemos de demostrar que esto es falso, para ello debemos encontrar un solo ejemplo en el que la proposición sea falsa.
Elijamos al número 1 como el número natural,
Elijamos -10 como el número entero negativo.
El producto es:
1*-10 = -10
Ahora veamos si el producto es menor que cada uno de los factores.
-10 < 1 ?
Si, -10 es menor que 1.
Ahora veamos con el otro factor:
-10 < - 10?
No, un número no puede ser menor que si mismo.
Entonces el producto no siempre es menor que cada uno de los factores.
Entonces la proposición es falsa.
Assuming 100% = 1, there is a 0.3 chance of 30 points, 0.55 chance of 100 points, and 0.15 chance of 400 points. Multiplying the chance with the expected values and then adding them up will give you the expected value of one roll.
0.3(30) + 0.55(100) + 0.15(400) = 124
So the expected value of a roll is 124 points
4) (a) For these problems, you should take time to familiarize yourself with common fractions that appear on the unit circle. 
does not appear in the unit circle unless you take the quotient 1/2 divided by sqrt(3)/2 which gives you 1/sqrt(3) which is the same as sqrt(3)/3. So our numerator is 1/2 and our denominator is sqrt(3)/2.
And remember tangent is just sin/cos. So what degree has sinx as 1/2 and and cosx as sqrt(3)/2? Well, 30 degrees does, but 30 degrees is not within the range we are given. That means they are looking for a sinx that gives us -1/2 and a cosx that gives us -sqrt(3)/2 and that is 210 degrees.
And 210 degrees in radians is 7pi/6.
I hoped that made sense.
(b) This is a lot easier. What angle gives us a cos x of -sqrt(3)/2? According to the unit circle, 150 degrees and 210 degrees does. They usually want these in radians, so the answer is 5pi/6 and 7pi/6, respectively.
5) What quadrant is radian measure 5 in?
Well 2pi or roughly 6.28 is a full circle. And 5 is slightly less than 6.28, so it is probably in quadrant IV.
But to be sure let's change 5 radian to degrees:
5 * 180/pi = 900/pi = 286.48 degrees
286.48 degrees is definitely in Q4, so we are correct.
Answer:
20 percent chance or 2/10
Step-by-step explanation:
I dont really know what your asking but I need the points. if the question is asking what I'm thinking that should be correct
