drawing isn't shown, pls take a screenshot or photograph the exercise
Answer:
<u>The correct answer is B. 1/729</u>
Step-by-step explanation:
1. Probability of any of the nine words would be randomly cited.
Using the Laplace Rule, we calculate that probability is 1/9
2. Now let's calculate the probability of any two - word phrase in specific order from those nine in the dictionary. We should remember that the probability of occurrence of two or more statistically independent events is equal to the product of their individual probabilities. So,
1/9 * 1/9 = 1/81
3. Using the same Multiplication Rule, we can calculate the probability of a random generation of the phrase "three blind mice", in that specific order. Because there are other phrases that could be generated with those three words, but in different order. The question was specific about the order.
1/9 * 1/9 * 1/9 = 1/729
<u>The probability of randomly generating the phrase "three blind mice" is 1/729 or 0.137%</u>
If the amount of time taken to go said distance is x and the amount of time taken to go back said distance is y, then the amount of miles total is 7x+3y due to that for every hour, she adds 7 miles when going there and 3 miles for walking back. In addition, since the total amount of time is 4 hours, x+y=4 as the total time spent as well as 7x=3y due to that they're the same distance.
x+y=4
7x=3y
Dividing the second equation by 7, we get x=3y/7. Plugging that into the first equation, we get 3y/7+y=4=10y/7 (since y=7y/7). Multiplying both sides by 7 and then dividing both by 10, we get 28/10=2.8=y in hours. Since 0.1 hours is 60/10=6 minutes, and 0.8/0.1=8, 6*8=48 minutes=0.8 hours, meaning that she should plan to spend 2 hours and 48 minutes walking back
Answer:
x+55=2x-15 [being corresponding angle
55-15=2x-x
40=x
