(2-3) exponent 4 (4)-9 divided by 3
1 answer:
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The square root is 
Just square the top and bottom of the fraction. 
and 
so we have 12/16 and then we reduce to 3/4
The correct answer is:
B. This is a dilation about (0, 0) with a scale factor of 4; A'(8, 4), B' (16, 4), C' (16, -12).
Step-by-step explanation:
Given
Dilation: D : (x,y) => (4x,4y)
And Vertices
A ( 2, 1 ), B ( 4, 1 ), C ( 4, -3 )
Applying dilation on all vertices
To find the scale factor,
As we are multiplying each vertex coordinate by 4, the dilation factor is 4.
Moreover,
Hence the scale factor is 4.
So,
The correct answer is:
B. This is a dilation about (0, 0) with a scale factor of 4; A'(8, 4), B' (16, 4), C' (16, -12).
Keywords: Dilation, Scale factor
Learn more about dilation at:
#LearnwithBrainly
Answer:
2.87%
Step-by-step explanation:
We have the following information:
mean (m) = 200
standard deviation (sd) = 50
sample size = n = 40
the probability that their mean is above 21.5 is determined as follows:
P (x> 21.5) = P [(x - m) / (sd / n ^ (1/2))> (21.5 - 200) / (50/40 ^ (1/2))]
P (x> 21.5) = P (z> -22.57)
this value is very strange, therefore I suggest that it is not 21.5 but 215, therefore it would be:
P (x> 215) = P [(x - m) / (sd / n ^ (1/2))> (215 - 200) / (50/40 ^ (1/2))]
P (x> 215) = P (z> 1.897)
P (x> 215) = 1 - P (z <1.897)
We look for this value in the attached table of z and we have to:
P (x> 215) = 1 - 0.9713 (attached table)
P (x> 215) =.0287
Therefore the probability is approximately 2.87%
