Answer:
The best option is:
B.7.82
Step-by-step explanation:
Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Data given
represent the real population proportion for residents born in Colorado
represent the estimated proportion for rsidents born in Colorado
is the sample size selected
Solution to the problem
Let X the random variable of interest (number of residents in the sample), on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
The expected value is given by this formula:
And the standard deviation for the random variable is given by:
The best option is:
B.7.82
R=rate of boat in still water
c=rate of current
d=rt
since you're given that the time it takes to travel the same distance downstream and upstream, your equation will be d_1=d_2, or rt=rt
the rate upstream is r-c and the rate downstream is r+c (because the boat's and river's rates add up)
since you know t_1 and t_1 are 5 and 3, you can now set up 2 equations
<u>5*(r-c)=45</u> because (time upstream)*(rate upstream)=distance=45 miles
r-c=45/5=9
<u>3*(r+c)=45</u>
r+c=45/3=15
r-c=9 and r+c=15, so r=12 mi/h and c=3 mi/h
If you have any questions please ask
Where are the inequalities ?
In order from least to greatest the soaps would he 1. bright wash
2.lots of suds
3.spotless soap
4.lemon broght
Answer:
15 hours.
Step-by-step explanation:
20 can be divided into quarters, 3 quarters is 15/20 hours.
