The volume of rectangular prism is the product of its length, width and height.
So the volume V of prism with length

yards, width

yards and height of 4 yards will be:

Thus the volume of prism as a mixed number in simplest form will be

cubic yards
The sampling distribution is illustrated below.
<h3>How to illustrate the sampling?</h3>
Based on the information given, the population is illustrated as 1, 4, 7. The sample without replacement will be:
<u>Sample Mean</u>
1 and 4. 2.5
1 and 7. 4
4 and 7. 5.5
The population mean will be:
= (1 + 4 + 7)/3
= 4
The sample mean is an unbiased estimator of the population mean.
The sampling with replacement illustrates that the mean will be:
= 36/9 = 4
Also, when n = 3, the number of samples will be:
= 3³ = 27
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Answer: (60.858, 69.142)
Step-by-step explanation:
The formula to find the confidence interval for mean :
, where
is the sample mean ,
is the population standard deviation , n is the sample size and
is the two-tailed test value for z.
Let x represents the time taken to mail products for all orders received at the office of this company.
As per given , we have
Confidence level : 95%
n= 62
sample mean :
hours
Population standard deviation :
hours
z-value for 93% confidence interval:
[using z-value table]
Now, 93% confidence the mean time taken to mail products for all orders received at the office of this company :-

Thus , 93% confidence the mean time taken to mail products for all orders received at the office of this company : (60.858, 69.142)
This is middle school??? AinT no way
Answer:
- p=0.7103 (4-game series)
- p=0.6480 (2-game series)
Step-by-step explanation:
Let X be the random variable equal the the first 4 straight wins. An overall win for the stronger team implies a negative binomial function with the parameters n=4, p=0.6:

#We find probabilities for the different values of i:

Hence, probability of the stronger team winning overall is:

#Define Y as the random variable for winning 2/3 games.:

Hence, probability of the stronger team winning in 2 out 3 game series is 0.6480
The stronger team has a higher chance of winning in a 4-game series(0.7103>0.6480)