The conversion between Litres and gallons is about 4L/gal,
so 2L * 1gal/ 4L = 1/2 gal
The 1 gal is about twice as large
Answer:
1 and 4 are statistical questions
Step-by-step explanation:
Answer:
The general relation about a geoemtric sequence is

For the first sequence, we have


Which is a system of equations. We can isolate a variable in the first equation to replace that expression into the second equation.


![r^{2}=\frac{147}{3}\\ r=\sqrt[2]{49}\\r=7](https://tex.z-dn.net/?f=r%5E%7B2%7D%3D%5Cfrac%7B147%7D%7B3%7D%5C%5C%20%20r%3D%5Csqrt%5B2%5D%7B49%7D%5C%5Cr%3D7)
Now, we replace this value to find the other one

Therefore, the explicit rule function is

Now, we use the same process for the second sequence.

The second equation is

Now, we solve the following expression

We solve for 

Then

Therefore, the function that models the second sequence is

Notice that
is the dependent variable and
is the independent variable.
Answer:
a) mean = u = 83
b) Your friend's score is 1.625 standard deviations below the mean
Step-by-step explanation:
Note:
- The correct question is as follows:
" In the Social Psychology course, you receive a score of 77 on the second exam. You are told that the standard deviation of the second exam is 8 and that your score is .75 standard deviations below the mean. "
Find:
a.What is the class mean of the second exam?
b.Your friend scored a 70 on the second exam. How many standard deviations below the mean is your friend’s score?
Solution:
- The class mean can be calculated by using the given data of your score being 0.75 standard deviation less than mean:
Your score = mean - 0.75*standard deviation.
- Plug in the values:
77 = mean - 0.75*8
mean = u = 83
- Now your friend has a score of 70 on second exam, using the above relation again we have:
Friend's score = mean - a*standard deviation.
Where, a is the constant to be found:
70 = 83 - a*8
a = (70 - 83 ) / -8
a = 1.625
- Your friend's score is 1.625 standard deviations below the mean