Use the binomial distribution to compute probability. A weighted coin has a 0.596 probability of landing on heads. If you toss the coin 12 time, what is the probability of getting heads more than 7 times? round your answer to 3 decimal places if necessary.)

Probability of atleast one head = 2C1* p (1-p) + 2C2 * p^2 = 2(p - p^2) + p^2 = 2p - p^2 *

p(2-p) > 0.5

All values of p satisfy this equation.

answer: options?

step-by-step explanation:

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.