Answer: 0.107
Step-by-step explanation:
En una caja tenemos 8 canicas.
5 son rojas
3 son verdes.
Se retira una canica, y no se remplaza.
Quiero calcular la probabilidad de sacar dos canicas verdes.
La probabilidad de sacar una canica verde en el primer intento, es igual al cociente entre el numero de canicas verdes y el numero total de canicas.
p1 = 3/8
Ahora, en el segundo intento, en la caja voy a tener 2 canicas verdes (por que ya saque una) y 7 canicas en total. Entonces la probabilidad va a ser:
p2 = 2/7.
Y la probabilidad conjunta (es decir, la probabilidad de sacar las dos canicas de color verde) va a ser igual al producto de las probabilidades individuales.
P = p1*p2 = (3/8)*(2/7) = 0.107
???????????????(this is how far I got)
Alright, so what we can take as a given is that arcDE/2= ∠CDE=2x+20 since the arc corresponding to the angle is 2*the angle. To solve for arcDE, we multiply both sides by 2 to get 2(2x+20)=4x+40=arcDE. Since the arcs in a circle add up to 360 degrees and we only have -20+30x and arcDE, we have -20+40+4x+30x=360 using the associative property. Simplifying, we get 20+34x=340. Subtracting 20 from both sides, we get 340=34x. Next, we can divide both sides by 34 to get 10=x.
The two dinosaurs probably crossed paths at estimated coordinates (- 1, 2.5).
To find where the two equations actually intersect, set them equal to each other.
- 1/2x + 3 = 2x + 4
Subtract 4 from both sides, and add 1/2x to both sides to combine like terms.
2 1/2x = - 1 --> 5/2x = - 1
Multiply by 2/5 on both sides to isolate x
x = - 1(2/5)
x = - 2/5
Now plug in to either of the two equations. I used 2x + 4
- 1/2(- 2/5) + 3 = y
1/5 + 3 = y
y = 3 1/5
The actual coordinates where the dinosaurs crossed paths was (- 2/5, 3 and 1/5).
My original estimate was (- 1, 2 1/2) because based on the graph drawn above the point of interest (the intersection) appears to be below the third unit on the y-axis as well as in between the negative two unit and origin on the x-axis. My estimate was also off because the x-axis is counting by twos which does not necessarily allow for an accurate estimate strictly based on the naked eye.
Answer:
a. x=65 because of vertical angle theorem,c. 44, b.y= 71 because of triangle angle sum theorem
Step-by-step explanation:
c. corresponding angle theorem and supplementary angle theorem so z+65+71=180 meaning z= 44
