Answer: 18mph
Step-by-step explanation:
Given data
total distance driven = 396 miles
time driven = 8 am Tuesday to 5 pm Wednesday
total time driven in hours = 33 hours
lunch break time = 30 min Tuesday + 30 min Wednesday
= 60 min
= 1 hour
sleep time = 7 pm Tuesday to 5 am Wednesday
= 10 hours
solution:
To find the average speed,
we are given total time driven = 33hrs.
lunch + rest time = 10hrs + 1hr
= 11hrs
total time travelled =drive time - rest + lunch time
= 33 - 11
= 22hrs
therefore;
average speed = distance / time traveled.
average speed = 396 / 22
average speed = 18 mph
9xh = total cost of the hat
9 per hat - 4 = $5 each scarf
h = hat
s = scarf
(9xh) + (5x s)
(9x7) + (5x9) = 108
Answer:
6/7 = 66/77
9/11 = 63/77
6/7 is greater than 9/11
Step-by-step explanation:
To give fractions a common denominator you must find the LCM(lowest common multiple) of this two denominators.
So, we have 7 and 11. You must find a multiple 7 and 11 share. This means that the number must be divisible by 7 and 11. The LCM for 7 and 11 is 77.
Now we make both the denominators 77.
Now look at the numerators. Look at 6/7. We multipled 7 by 11 to get 77. Therefore, we must also multiply 6 by 11.
Now we have, 66/77
Do the same with the other fraction but other way around:
11 x 7 so
9 x 7 = 63
So,
63/77
So 6/7 is now 66/77 and 9/11 is now 63/77
Now compare:
66 > 63
66 is bigger so 6/7 is greater.
6/7 is greater than 9/11
Answer:
Mean = 1.57
Variance=0.31
Step-by-step explanation:
To calculate the mean and the variance of the number of successful surgeries (X), we first have to enumerate the possible outcomes:
1) Both surgeries are successful (X=2).
2) Left knee unsuccessful and right knee successful (X=1).
3) Right knee unsuccessful and left knee successful (X=1).
4) Both surgeries are unsuccessful (X=0).
Then, the mean can be calculated as the expected value:
The variance can be calculated as:
