Answer:
71.123 mph ≤ μ ≤ 77.277 mph
Step-by-step explanation:
Taking into account that the speed of all cars traveling on this highway have a normal distribution and we can only know the mean and the standard deviation of the sample, the confidence interval for the mean is calculated as:
 ≤ μ ≤
 ≤ μ ≤ 
Where m is the mean of the sample, s is the standard deviation of the sample, n is the size of the sample, μ is the mean speed of all cars, and  is the number for t-student distribution where a/2 is the amount of area in one tail and n-1 are the degrees of freedom.
 is the number for t-student distribution where a/2 is the amount of area in one tail and n-1 are the degrees of freedom.
the mean and the standard deviation of the sample are equal to 74.2 and 5.3083 respectively, the size of the sample is 10, the distribution t- student has 9 degrees of freedom and the value of a is 10%.
So, if we replace m by 74.2, s by 5.3083, n by 10 and  by 1.8331, we get that the 90% confidence interval for the mean speed is:
 by 1.8331, we get that the 90% confidence interval for the mean speed is:
 ≤ μ ≤
 ≤ μ ≤ 
74.2 - 3.077 ≤ μ ≤ 74.2 + 3.077
71.123 ≤ μ ≤ 77.277
 
        
             
        
        
        
D= 65 degrees. 
Because straight line adds up to 180 
So 180-115= 65
        
             
        
        
        
We can do this easily. Since we know that the numerator is more than the denominator, we need to know by how much.
39-28=11; It's only 11 more, which means 11/28 would be the fraction and the whole number is 1.
39/28= 1 11/28
 
        
             
        
        
        
Answer:
5
Step-by-step explanation:
It's the one that's missing.
Hope I helped!
Please mark Brainliest!
 
        
                    
             
        
        
        
Answer:
0.6127 = 61.27% probability of selling no more than 6 properties in one week.
Step-by-step explanation:
For each property, there are only two possible outcomes. Either it is sold, or it is not. The probability of a property being sold is independent of any other property. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which  is the number of different combinations of x objects from a set of n elements, given by the following formula.
 is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
12 properties 
This means that 
She feels that there is a 50% chance of selling any one property during a week.
This means that 
Compute the probability of selling no more than 6 properties in one week. 
This is:

In which









0.6127 = 61.27% probability of selling no more than 6 properties in one week.