Using x as the variable, write a formula to find the perimeter of the figure. Use the formula to find the perimeter. a regular d
1 answer:
Answer:
c. 12x; 111 cm
Step-by-step explanation:
The regular dodecagon has 12 sides. Each side has a length of x=9.25 cm, and we know that the perimeter of the figure is the sum of the lengths of all the sides: Therefore, since we have 12 sides, the perimeter will be given by the product between the length of each side, x, and the number of sides, 12:
and if we substitute x = 9.25 cm, we find
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Answer:
Probability of rolling at least 4 sixes is 0.01696.
Step-by-step explanation:
We are given that an unbalanced die is manufactured so that there is a 20% chance of rolling a “six." The die is rolled 6 times.
The above situation can be represented through binomial distribution;
where, n = number trials (samples) taken = 6 trials
r = number of success = at least 4
p = probability of success which in our question is probability of
rolling a “six", i.e; p = 0.20
<u><em>Let X = Number of sixes on a die</em></u>
So, X ~ Binom(n = 6, p = 0.20)
Now, Probability of rolling at least 4 sixes is given by = P(X 4)
P(X 4) = P(X = 4) + P(X = 5) + P(X = 6)
=
=
= 0.0154 + 0.00154 + 0.000064
= 0.01696
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Therefore, probability of rolling at least 4 sixes is 0.01696.