Answer:
a. 0.0783
Step-by-step explanation:
For each flight, we have these following probabilities:
A 15% probability that a flight is delayed
An 85% probability that a flight is on time.
Which of the following is closest to the probability that it will take 5 selections to find one flight that is delayed?
This is the probability that the first four flights are on time and the fifth is late. So

So the correct answer is
a. 0.0783
Answer:

Step-by-step explanation:
Let x be the number of miles.
We have been given that Sully's car has an average fuel economy of 28 miles per gallon. The capacity of the fuel tank is 16 gallons.
Let us find the number of miles that Sully can drive with 16 gallons.
This means that initially Sully's car has can drive 448 miles, so at x equals 0, y will be 448.
As the car consumes 1 gallon for each 28 miles driven, so the gallons of fuel consumed in traveling x miles will be 28x. As each gallon of fuel will decrease with each 28 miles traveled, so slope of our function will be -28.
Upon substituting slope and y-intercept in slope-intercept form (y=mx+b), we will get our function as:

Therefore, our required function will be:
.
ANSWER
The midpoint of both diagonals is

EXPLANATION
We can use either diagonals to determine the midpoint.
We use the midpoint formula

Let us use the first diagonals H(-2,2) and J(4,-2)



Using the second diagonals also gives,


Answer:
The mean is 15.93 ounces and the standard deviation is 0.29 ounces.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, 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.
7% of the bottles containing this soft drink there are less than 15.5 ounces
This means that when X = 15.5, Z has a pvalue of 0.07. So when X = 15.5, Z = -1.475.




10% of them there are more than 16.3 ounces.
This means that when X = 16.3, Z has a pvalue of 1-0.1 = 0.9. So when X = 16.3, Z = 1.28.




From above

So




The mean is

The mean is 15.93 ounces and the standard deviation is 0.29 ounces.