It is well-known that in Hanover in the Spring, it is either sunny or rainy every day, and the probability that the weather one day is the same as the weather the previous day is 2/3. Suppose it was sunny on May 1st and May 10th. What is the probability that it was sunny on May 3rd

0.44

Step-by-step explanation:

May 1st was a sunny day. May 10th was a sunny day. The date closest to May 3rd is May 1st so analysis can start from there.

The probability that the weather one day is same as the weather on the previous day = 2/3

In this light, the probability that May 2nd was a sunny day is 2/3 (since May 1st was sunny).

The probability that it was sunny on May 3rd is  2/3 of 2/3  = 2/3 × 2/3  = 4/9 = 0.44

last option

step-by-step explanation:

given that δdef is right and isoceles,

assuming that side df is the hypotenuse means that de an ef are the other 2 sides that intersect at 90° and are of equal length.

because they are of equal length, we can say that they are congruent

because they intersect at 90°, their slopes must be opposite reciprocals.

only the last option satisfies these conditions.

total amount to be paid = $19.5

step-by-step explanation:

given ,

original price = $25.99

discount = 25%

discount amount = 25% of original price

discount amount = 25/100   * 25.99

discount amount = $6.49

hence , the total amount to be paid = original price - discount amount

                                                            = $25.99 - $6.49

                                                            =$19.5

total amount to be paid = $19.5