How much would $200 invested at 4% interest compounded every 6 months be worth after 5 years?

The probability of tossing heads with a standard coin is 1/2, because it is one of two possible outcomes. The probability of tos

spayn [35]

Answer:

a) 1/64

b) 1/4096

Step-by-step explanation:

As you can tell from the example, the exponent of 1/2 is the number of heads in a row.

a) p(6 heads in a row) = (1/2)^6 = 1/(2^6) = 1/64

b) p(12 heads in a row) = (1/2)^12 = 1/(2^12) = 1/4096

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<em>Additional comment</em>

The probability of a head is 1/2 because we generally are concerned with a "fair coin." That is defined as a coin in which each of the 2 possible outcomes has the same probability, 1/2. Similarly, a "fair number cube" has 6 faces, and the probability of each is defined to be the same as any other, 1/6. Loaded dice and unfair coins do sometimes show up in probability problems.

3 0

3 years ago

Which postulate or theorem proves that these two triangles are congruent?

mario62 [17]

Answer:

ASA postulate of congruency

Step-by-step explanation:

Here Given AE=ED and ∠BAE=∠CDE

Also if we clearly observe ∠AEB=∠CED

By ASA postulate those two triangles are congruent.

The ASA (Angle,Side,Angle) postulate states that if two triangles with two angles and the included angle are equal then the two triangles are congruent.

5 0

3 years ago

Read 2 more answers

Consider the probabilities of people taking pregnancy tests. Assume that the true probability of pregnancy for all people who ta

Valentin [98]

Using conditional probability, it is found that there is a 0.8462 = 84.62% probability that a woman who gets a positive test result is truly pregnant.

<h3>What is Conditional Probability?</h3>

Conditional probability is the probability of one event happening, considering a previous event. The formula is:

$P(B|A) = \frac{P(A \cap B)}{P(A)}$