Answer: OPTION A.
Step-by-step explanation:
You know that the rule that will be used for the translation of the figure ABC is:
→
You can observe in the figure that the coordinates of the point A is this:

Then, in order to find the coordinates that will best represent point A', you need to subtract 3 from the x-coordinate of the point A and add 4 to the y-coordinate of the point A:
Answer:
see explanation
Step-by-step explanation:
All of these questions use the external angle theorem, that is
The external angle of a triangle is equal to the sum of the 2 opposite interior angles.
18
∠3 = 43° + 22° = 65°
19
∠2 + 71 = 92 ( subtract 71 from both sides )
∠2 = 21°
20
90 + ∠4 = 123 ( subtract 90 from both sides )
∠4 = 33°
21
2x - 15 + x - 5 = 148
3x - 20 = 148 ( add 20 to both sides )
3x = 168 ( divide both sides by 3 )
x = 56
Hence ∠ABC = x - 5 = 56 - 5 = 51°
22
2x + 27 + 2x - 11 = 100
4x + 16 = 100 ( subtract 16 from both sides )
4x = 84 ( divide both sides by 4 )
x = 21
Hence ∠JKL = 2x - 11 = (2 × 21) - 11 = 42 - 11 = 31°
Answer:
1) 20%
2) Choice a.
Step-by-step explanation:

1)
is the population initially.
is the population after a year.
represents the population increase factor.
So let's evaluate that fraction:


0.2=20%
2) Let's figure out the population growth in terms of months instead of years.

We want t to represent months.
A full year is 12 months, in a full year we have that 
So we want a new P such that
since 12 months equals a year.
Let's look at the functions given to see which gives us this:
a) 
b) 
c) 
d) 
So a is the function we want.
Also another way to look at this:
where
is in years.
where
is in months.
And 
Answer:
a
Step-by-step explanation:
idk
Complete Question
A magazine provided results from a poll of 500 adults who were asked to identify their favorite pie. Among the 500 respondents, 12 % chose chocolate pie, and the margin of error was given as plus or minus 5 percentage points.What values do
, n, E, and p represent? If the confidence level is 90%, what is the value of
?
Answer:
a
is the sample proportion
is the sample size is 
is the margin of error is 
represents the proportion of those that did not chose chocolate pie i.e 
b

Step-by-step explanation:
Here
is the sample proportion
is the sample size is 
represents the proportion of those that did not chose chocolate pie i.e



is the margin of error is 
Generally
is the level of significance and it value is mathematically evaluated as

Where
is the confidence level which is given in this question as 
So

