Complete the table using the equation w = m + 4
2 answers:
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Answer:
The expected value of rolling a 5 or 6 is 10.
Step-by-step explanation:
The sample space of rolling a standard number cube is:
S = {1, 2, 3, 4, 5 and 6}
The cube is standard, this implies that each side has an equal probability of landing face-up.
So, the probability of all the six outcomes is same, i.e. .
Now it is provided that Apu rolls the cube <em>n</em> = 30 times.
Let the random variable <em>X</em> represent the value on the face of cube.
The event of rolling a 5 and rolling a 6 are mutually exclusive, i.e. they cannot occur together.
So, P (X = 5 and X = 6) = 0.
Compute the probability of getting a 5 or 6 as follows:
P (X = 5 or X = 6) = P (X = 5) + P (X = 6) - P (X = 5 and X = 6)
= P (X = 5) + P (X = 6)
Compute the expected value of rolling a 5 or 6 as follows:
Thus, the expected value of rolling a 5 or 6 is 10.
Answer:
136 units²
Step-by-step explanation:
The surface area (SA) is calculated as
SA = area of base + area of 2 congruent sloping faces + area of 2 triangular ends
area of base = 6 × 7 = 42 units²
area of sloping faces = 2 (7 × 5) = 2 × 35 = 70 units²
area of triangular faces = 2 × × 6 × 4 = 6 × 4 = 24 units²
SA = 42 + 70 + 24 = 136 units²