Answer:
0.000221
Step-by-step explanation:
Using the z score formula when a random number of samples is given =
z = (x-μ)/σ/√n, where
x is the raw score
μ is the population mean
σ is the population standard deviation = 7
n is random number of samples = 83
Note that:2.2 dollars = x-μ
z = 2.2/7/√8.3
z = 3.51402
Probability value from Z-Table:
P(x<27.7) = 0.99978
P(x>27.7) = 1 - P(x<27.7) = 0.00022069
Approximately = 0.000221
Hence, the probability that the sample mean would differ from the true mean by greater than 2.2 dollars if a sample of 83 5-gallon pails is randomly selected is 0.000221
9514 1404 393
Answer:
c. about the origin
Step-by-step explanation:
The function is odd: replacing x with -x gives the negative of the function value:
f(-x) = -f(x)
Odd functions are symmetrical about the origin.
Answer:
2 minutes
Step-by-step explanation:
The front of the train enters the tunnel and travels 1 km before the rear of the train enters the tunnel. Thus, the total distance traveled by the front of the train is 2 km, and this is covered in a certain number of hours:
Since distance = rate times time, time = distance / rate. In this particular case we have:
2 km
time = distance / rate = ------------------- = (1/30) hr
60 km/hr
(1/30) hr converts to 2 minutes, since 1 hr = 60 minutes
Answer: 6√2
Step-by-step explanation:
8 × 9 is 72.
8 can be simplied to 4 × 2.
And 4 can be simplified to 2 × 2.
So far there are three 2s and a 9.
9 can be simplified down to 3 × 3.
Theres a pair of 2s and a pair of 3s, so you multiply 2 × 3 and thats 6 so you put 6 on the outside of the radical. Theres one 2 leftover from all the simplifying so that goes inside the radical to give you 6√2
Answer:
2.07
Step-by-step explanation:
