Answer:
Step-by-step explanation:
Complete the square
+ 2x - 13 = 0
+ 2x = 13
+ 2x +
= 13 +1 (take 1/2 of the b term , the 2 )
+ 2x + 1 = 14
(x +1)^2 = 14
Hanks pickup can travel 85 miles on 5 gallons of gas. How many gallons will his pickup need to travel 34 miles?
1 answer:
You might be interested in
Answer:
And using the normal standard table or excel we find the probability:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the avergae number of weeks an individual is unemployed of a population, and for this case we know the distribution for X is given by:
Where and
Since the distribution for X is normal then, the distribution for the sample mean is given by:
We select a sample of n =50 people. And we want to find the following probability
And using the normal standard table or excel we find the probability:
Answer:
8.0
Step-by-step explanation:
The attached shows guesses until we have an answer accurate to 6 decimal places. Rounded to 1 decimal place, the answer is 8.0 years.
This (8 years) was our initial guess, based on the "rule of 72" which says the doubling time for 9% interest is 72/9 = 8 years.
Our second guess, at 8.1, was farther away from the doubled value, so the first guess at 8.0 is closer.
t = 8.0
