When ever you have percentages, it should be helpful to bear in mind you can express them as multipliers. In this case, it will be helpful.
So, if we let:
a = test score
b = target score
then, using the information given:
a = 1.1b + 1
a = 1.15b - 3
and we get simultaneous equations.
'1.1' and '1.15' are the multipliers that I got using the percentages. Multiplying a value by 1.1 is the equivalent of increasing the value by 10%. If you multiplied it by 0.1 (which is the same as dividing by 10), you would get just 10% of the value.
Back to the simultaneous equations, we can just solve them now:
There are a number of ways to do this but I will use my preferred method:
Rearrange to express in terms of b:
a = 1.1b + 1
then b = (a - 1)/1.1
a = 1.15b - 3
then b = (a + 3)/1.15
Since they are both equal to b, they are of the same value so we can set them equal to each other and solve for a:
(a - 1)/1.1 = (a + 3)/1.15
1.15 * (a - 1) = 1.1 * (a + 3)
1.15a - 1.15 = 1.1a + 3.3
0.05a = 4.45
a = 89
Answer:
38.5
Step-by-step explanation:
The formula for the area of the circle is 
.
Since you have the diameter and you're told to use 3.14 as pi, all you need to do is to substitute.
The diameter is also 2 times the size of the radius so you divide 7 by 2.
So 
Answer:
" all numbers less than -27 "
Step-by-step explanation:
The instructions for this problem most likely go like this: "solve the following identity." In other words, find an inequality for n.
Start by multiplying both sides of the given inequality by 3, to eliminate the fraction 1/3:
n < -27
The solution: " all numbers less than -27 "
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.
Answer:
5
Step-by-step explanation:
the base is the original number which you perform an action on. in this scenario the action is 3. 5 is being cubed
