Part A:
Considering the best possible outcome
The ideal case occurs if the two missing socks are from the same pair.
Consequently, there are 4 complete pairs remaining.
To choose 2 from the total of 10 socks (5 pairs), the number of combinations is given by 10C2 = 45.
Choosing 2 that are from the same pair means selecting one from 5 pairs, so the count is 5C1 = 5.
Thus, the probability for this best case is 5 / 45 = 1 / 9.
Part B:
Considering the worst-case outcome
This scenario occurs when the two missing socks are from different pairs.
As a result, we have 3 complete pairs left.
The total ways to select 2 socks from 10, again, is 10C2 = 45.
To select 2 that do not belong to the same pair, we calculate as follows: 10C2 - 5C1 = 45 - 5 = 40.
Therefore, the probability for the worst-case scenario is 40 / 45 = 8 / 9.
Answer:
Volume of the shaded area = (600 - 36π) units³
Step-by-step explanation:
Volume of the shaded area = Volume of pyramid - Volume of cone
Volume of pyramid = ⅓*l*w*h
Where,
l = length of the base of the pyramid = 15 units
w = width of the base of the pyramid = 10 units
h = height of pyramid = 12 units
Substituting the values helps find the volume of the pyramid
Volume of pyramid = ⅓*15*10*12 = 5*10*12 = 600 units³
Volume of Cone = ⅓πr²h,
Where,
r = radius = ½ of diameter = ½ of 9 = 3 units
h = height = 12 units
Volume of Cone = ⅓*π*3²*12 = ⅓*π*9*12
= π*3*12 = 36π units³
Volume of shaded area = (600 - 36π) units³
Response:
la respuesta está abajo
Explicación paso a paso:
Debemos encontrar la ecuación para poder graficar.
De acuerdo a la afirmación, la ecuación sería:
E = v * t - Ei
Siendo Ei (20) la elevación inicial, t el tiempo transcurrido y la velocidad de 4, realizamos la sustitución y obtenemos:
E = 4 * t - 20
A continuación, debemos calcular los valores correspondientes:
E (0) = 4 * 0 - 20 = -20
E (1) = 4 * 1 - 20 = -16
E (2) = 4 * 2 - 20 = -12
E (3) = 4 * 3 - 20 = -8
E (4) = 4 * 4 - 20 = -4
E (5) = 4 * 5 - 20 = 0
Si graficamos, tendríamos la imagen anexa:
