Answer:
c) (26.295, 28.705)
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of
.
So it is z with a pvalue of
, so 
Now, find the margin of error M as such

In which
is the standard deviation of the population and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 27.5 - 1.205 = 26.295 mi/gallon
The upper end of the interval is the sample mean added to M. So it is 27.5 + 1.205 = 28.705 mi/gallon
So the correct answer is:
c) (26.295, 28.705)
Answer:
Chemical Energy
Step-by-step explanation:
According to the Law of Conservation of Energy, energy is neither created nor destroyed. It is an entity that's always existing in the environment. It takes different forms of energy. Among the choices, the best answer would be letter B. Chemical energy. The chemical energy originates from the energy within the muscles that are dormant. Once used, this chemical energy is transformed into mechanical energy by the action of pushing his foot on the ground.
This is the correct solution if I am not mistaken :)
Answer:
D .For every day the soap is used, the predicted mass of the soap will decrease by 1.8 grams.
Step-by-step explanation:
The given regression equation is
Predicted y = 78.5 – 1.8x where, y = mass of a bar of soap in grams and x = number of days soap has been used.
Here, slope=b=-1.8.
Slope depicts the unit increase in predicted variable due to change in independent variable.
The given slope -1.8 shows that due to change in number of days soap is used the predicted mass of the soap decreases by 1.8 units. So, we can say that "For every day the soap is used, the predicted mass of the soap will decrease by 1.8 grams".
Answer:
7x
Step-by-step explanation:
This quantity is the same as obtained when dividing 14x by 2: 7x