The answer is B
A. 6(a+5)
=6a+30 not equivalent to 6a+15
B.3(2a+5)
=6a+15 is equivalent
C.3(3a+12)
=9a+36 not equivalent
D.6(a+12)
=6a+72 not equivalent
So your answer is B
Answer:
Step-by-step explanation:
y + 1 = 3(x - 4)
y + 1 = 3x - 12
y = 3x - 13
Answer:
see the attachments
Step-by-step explanation:
I suggested to you on a different occasion that by using tracing paper or tissue paper, you could make a copy of the image that you could move in the desired way to find its new location.
Here, the first attachment shows the figure being drawn on a piece of tissue with the line of reflection and the axes origin also shown.
The second attachment shows the tissue flopped over and the origin and line of reflection aligned with their previous locations. The new location of the figure is fairly obvious.
For <em>reflection</em>, any point that was some distance from the line on one side will be reflected to the same distance from the line on the other side. The distance is measured perpendicular to the line.
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<em>Comment on "the work"</em>
I only have a badly focused image of your original worksheet to work from, but even that is sufficient to illustrate the process and the result. It took longer to make and edit the photos than to do the drawing necessary to find the answer.
Answer:
Step-by-step explanation:
-(4q+8) + 6q = 12q - 5/6(18q + 6)
Open brackets:
<=> - 4q - 8 + 6q = 12q - 5/6*18q - 5/6*6
<=> - 4q - 8 + 6q = 12q - 15q - 5
Put q in one side and non q in one side:
<=> - 4q + 6q - 12q + 15q = 8 - 5
<=> 5q = 3
<=> q = 3/5
Answer:
It is not reasonable that the state education department claims the percentage for the entire state is 73%.
Step-by-step explanation:
We are given that 191 of the 288 high school students surveyed at a local school said they went outside more during school hours as elementary school students than they do now as high school students.
Firstly, the pivotal quantity for finding the confidence interval for the population proportion is given by;
P.Q. =
~ N(0,1)
where,
= sample proportion of high school students who went outside more during school hours as elementary school students than they do now as high school students =
= 0.66
n = sample of high school students = 288
p = population percentage for the entire state
<em>
Here for constructing a 90% confidence interval we have used a One-sample z-test for proportions.
</em>
<em>
</em>
The margin of error is given by;
M.E. = 
= 
M.E. = 0.056 or 5.6%
So, the confidence interval so formed = 
= [
]
= [0.604, 0.716]
Since the above interval does not include 0.73 or the population proportion of 73% falls outside the above interval. So, it is not reasonable that the state education department claims the percentage for the entire state is 73%.