Answer:
Step-by-step explanation:
For example,
<u>Solution: Finding a unit rate</u>
If we divide 150 by 20, we get the unit rate for the ratio, 150 minutes for every 20 miles.
150÷20=7.5
So the runner is running 7.5 minutes per mile. We can multiply this unit rate by the number of miles:
7.5 minutes mile × 6 miles = 45 minutes
Thus it will take her 45 minutes to run 6 miles at this pace.
If it takes her 45 minutes to run 6 miles, it will take her 45÷3=15 minutes to run 6÷3=2 miles at the same pace.
If it takes her 15 minutes to run 2 miles, it will take her 4×15=60 minutes to run 4×2=8 miles at the same pace. Since 60 minutes is 1 hour, she is running at a speed of 8 miles per hour.
We found her pace in minutes per miles in part (a).
Answer:
9.5
Step-by-step explanation:
There is no changeover in the first throw. The probability of each changeover is 1/2 and it doesnt depend on the other changeovers. The only thing that modifies each experiment is the result of the previous flip, but regardless of weather it was tails or heads, the probability will always be 1/2.
Since the coin is flipped 20 times and the first time there is no changeover, there are a total of 19 experiments. All of them independent and with probability 1/2. Therefore, the total amount of changeovers for 20 flips is a random variable with distribution Binomial B(19,0.5), the expected value of a Binomial B(n,p) is n*p. In this case, the expected value of changeovers for n=20 is 19*0.5 = 9.5.
Answer:
No value
Step-by-step explanation:
Y has zero solutions
Answer: C. 
Step-by-step explanation:
Given: The results of tossing a number cube 9 times are:
4, 3, 6, 6, 2, 5, 3, 5, 1
Then , the number of times get odd number (3,5,3,5,1): 5
Now, the experimental probability of tossing an odd number will be :

Hence, the experimental probability of tossing an odd number 