Answer:
Noah takes 20 minutes to get to his house, that is, 10 minutes less than Charlotte.
Step-by-step explanation:
Since Charlotte walks home from school every day at a rate of 4 miles per hour and it takes her 30-minutes to reach home, while her brother, Noah, runs home from the same school every day at a rate of 6 miles per hour, to determine how many fewer minutes does it take Noah than Charlotte to reach home from school each day the following calculation must be performed:
Charlotte:
4 mph = 4/60 = 0.0666 miles per minute
0.0666 x 30 = 2 miles
So the distance from the school to her house is 2 miles
Noah:
6/60 = 0.1 mile per minute
2 / 0.1 = 20
Thus, Noah takes 20 minutes to get to his house, that is, 10 minutes less than Charlotte.
Answer:
8x-9y-2
Step-by-step explanation:
We just add like terms:
Put them all together to give you:

Answer:
Step-by-step explanation:
f(x) = -4cos(3x-pi) +2
compare to f(x) = A cos (B(x+C))+D
A is amplitude =4
Period is 2pi/B so period = 2pi/3
Phase shift is C so phase shift = -pi (this could be positive if it shifted to the left)
Midline is at D so midline is y=2
The negative sign shows that they still owed $5000 to the creditors which shows a loss of money between June and December.
Step-by-step explanation:
Amount owed at the end of June = $3765
Amount owed at the end of December = $8765
As Hightop Roofing owed creditors the amount, therefore, we will consider the amount as negative, therefore,
Amount in June = -3765
Amount in December = -8765
To see the difference, we will subtract the amount owed in June from the amount owed in December.

The negative sign shows that they still owed $5000 to the creditors which shows a loss of money between June and December.
Keywords: difference, loss
Learn more about losses at:
#LearnwithBrainly
Answer:
B
Step-by-step explanation:
Internal validity means that it it valid for the population within the study internal = study). While external validity means that it has wider applications and is valid for people outside the study or in different setting. In other word, a statistical analysis has internal validity if the statistical inferences about causal effects apply for those being studied. It has external validity when if can be generalized to other settings and populations. The answer choice which best matches this is B.
Answer choices:
A. A statistical analysis is said to have external validity if the statistical inferences about causal effects are valid for the population being studied. The analysis is said to have internal validity if conclusions can be generalized to other populations and settings.
B. A statistical analysis is said to have internal validity if the statistical inferences about causal effects are valid for the population being studied. The analysis is said to have external validity if conclusions can be generalized to other populations and settings.
C. A statistical analysis is said to have internal validity if the statistical inferences about causal effects can only be verified by a few researchers. The analysis is said to have external validity if conclusions can be verified by many researchers.
D. Internal validity and external validity are equivalent.