To answer this question, we need to recall that: "the diagonals of a rectangle bisect each other"
Thus, if we assign the point of intersection of the two diagonals in the rectangle as point O, we can say that the triangle OQR is an "isosceles triangle". Note that this is because the lengths OR and OQ are equal since we know that: "the diagonals of a rectangle bisect each other". See the below diagram for clarity.
Now, we have to recall that:
- the base angles of any isosceles triangle are equal. This is a fact, and this means that the angles
- also the sum of all the angles in any triangle is 180 degrees
Now, considering the isosceles triangle OQR, we have that:
Now, since the figure already shows that angle Now, since we have established that the base angles we can now solve the above equation for m<2 as follows:
Therefore, the correct answer is: option D
Answer:
- p=0.7103 (4-game series)
- p=0.6480 (2-game series)
Step-by-step explanation:
Let X be the random variable equal the the first 4 straight wins. An overall win for the stronger team implies a negative binomial function with the parameters n=4, p=0.6:
#We find probabilities for the different values of i:
Hence, probability of the stronger team winning overall is:
#Define Y as the random variable for winning 2/3 games.:
Hence, probability of the stronger team winning in 2 out 3 game series is 0.6480
The stronger team has a higher chance of winning in a 4-game series(0.7103>0.6480)
Answer:she errored
Step-by-step explanation:
1) 2 * (10 * 7 + 7 * 1,25 + 10 * 1,25) = 2 * (70 + 8,75 + 12,5) = 2 * 91,25 = 182,5 square inches - a surface area
2) 182,5 * 0,012 = <span>$</span>2,19 - answer.