Answer:
1.76% probability that in one hour more than 5 clients arrive
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

In which
x is the number of sucesses
e = 2.71828 is the Euler number
 is the mean in the given time interval.
 is the mean in the given time interval.
The arrivals of clients at a service firm in Santa Clara is a random variable from Poisson distribution with rate 2 arrivals per hour.
This means that 
What is the probability that in one hour more than 5 clients arrive
Either 5 or less clients arrive, or more than 5 do. The sum of the probabilities of these events is decimal 1. So

We want P(X > 5). So

In which










1.76% probability that in one hour more than 5 clients arrive
 
        
                    
             
        
        
        
If y = 6 when x = 8, then value of "x" when y = 9 is equal to 12
<u>Solution:</u>
Given that , In a certain function, y varies directly with x
And x = 8 when y = 6,
We have to find what will be the value of x when y = 9
Now, from the given information,

where c is the proportionality constant

Hence, x value is 12 when y value is 9
 
        
             
        
        
        
Answer:
C. 500 ft
Step-by-step explanation:
If we want to make it all equal, we can divide the 2,000 ft by 4 because we have 4 equal descents.
2000 ÷ 4 = 500
He should travel <u>500 feet</u> in each descent.
 
        
             
        
        
        
Answer:
<u> </u>
</u>
Step-by-step explanation:
For the standard form equation to model the values in the table, each value of x in the table should give the matching the y value when substituted into the equation. We will test each equation:
<u> for (-2,4)</u>
 for (-2,4)</u>

This does not give 4 as the answer and is not a solution.
<u> for (-2,4)</u>
 for (-2,4)</u>

This does give 4 as the answer and is a possible solution.
<u> for (-2,4)</u>
 for (-2,4)</u>

This does not give 4 as the answer and is not a solution.
<u> for (-2,4)</u>
 for (-2,4)</u>

This does not give 4 as the answer and is not a solution.
The only possible solution is <u> </u>
</u>
 
        
             
        
        
        
Answer:
Q3 = 65.7825.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean  and standard deviation
 and standard deviation  , the zscore of a measure X is given by:
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:

Find the value of the quartile Q3. (Hint: Q3 has an area of 0.75 to its left.)
This is the value of X when Z has a pvalue of 0.75. So it is X when Z = 0.675.




Q3 = 65.7825.