Answer:
The probability that the proportion of rooms booked in a sample of 423 rooms would differ from the population proportion by less than 6% is 0.9946.
Step-by-step explanation:
According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.
The mean of this sampling distribution of sample proportion is:

The standard deviation of this sampling distribution of sample proportion is:

The information provided here is:
<em>p</em> = 0.27
<em>n</em> = 423
As <em>n </em>= 423 > 30, the sampling distribution of sample proportion can be approximated by the Normal distribution.
The mean and standard deviation of the sampling distribution of sample proportion are:

Compute the probability that the proportion of rooms booked in a sample of 423 rooms would differ from the population proportion by less than 6% as follows:


*Use a <em>z</em>-table.
Thus, the probability that the proportion of rooms booked in a sample of 423 rooms would differ from the population proportion by less than 6% is 0.9946.
Answer:

Step-by-step explanation:
Combine the opposite terms in r − 3 − r
.
Answer:
DUE= {0,10,12,18,19}
Step-by-step explanation:
The union of two sets is a set which contains all the elements of both the sets. thus DUE= {0,10,12,18,19}
Answer:
Actual volume=3,773,000 in³
Step-by-step explanation:
Scale 1:35
Actual Width=Model Width×Scale factor=(2×35)=70 inches
Actual Length=Model Length×Scale factor=(11×35)=385 inches
Actual Height=Model Height×Scale factor=(4×35)=140 inches
Actual volume =(Base Area×Height)=Length×width×height=(385×70×140)=3,773,000 in³
Actual volume=3,773,000 in³
● Answer:
8.995 cm
● Step-by-step explanation:
P = d + L/2
d = 3.5 cm
L/2 = 2pi×r/2
= pi×d/2
= 3.14×3.5/2
= 5.495 cm
P = 3.5cm + 5.495
= 8.995 cm