Answer: 3055.25
Step-by-step explanation:
Notice that

, so

Then taking the positive square root gives

so
and
.
Answer:
8 : 343
Step-by-step explanation:
Given 2 similar figures
ratio of sides = a : b, then
ratio of volumes = a³ : b³
Here the ratio of edges = 2 : 7, hence
ratio of volumes = 2³ : 7³ = 8 : 343
The probability of occurrence for the events A, B and C is; 1/4.
<h3>What is the probability of occurrence of.the described events?</h3>
For the first event A in which case, there's no odd number on the first two rolls, the possible events are; EEE and EEO. Consequently, the required probability is;
Event A = 2/8 = 1/4.
For the event B in which case, there's an even number on both the first and last rolls; the possible events are; EEE and EOE. Consequently, the required probability is;
Event B = 2/8 = 1/4.
For the event C in which case, there's an odd number on each of the first two rolls; the possible events are; OOO and OOE. Consequently, the required probability is;
Event C = 2/8 = 1/4.
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