The rotation that that translates AWXY to AW'X'Y' is a 45° anticlockwise rotation. See the attached image for details.
<h3>What is a rotation in math?</h3>
Rotation in math refers to the change in the angle of a geometric shape around a central axis on a point on the geometric plane such that it's original coordinates are modified but it's size or shape.
Hence, it is correct to state that The rotation that that translates AWXY to AW'X'Y' is a 45° anticlockwise rotation.
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Answer:
n=11 or n=-3
Step-by-step explanation:
Consider the quadratic equation
First, remind the formula
To complete the square, note that
Hence, we need
Add 16 to both sides of equation:
Answer:
The answer is 3 11/20
Step-by-step explanation:
Subtract whole numbers, 11 - 8 = 3
Then combine fractions 3/4 - 2/10= 11/20
hope this helps! :D
Answer:
6
Step-by-step explanation:
This is calculated as using z score
z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
Hence,
We find the z score of 95.44% confidence interval
95.44% = 1.9991
Hence.
1.9991 = ( X = 22) - (X = 10)
1.9991 = (22 - 16/ σ) - (10 - 16/ σ)
1.9991 = (6/σ - (-6/σ)
1.9991 = ( 6/σ + 6/σ)
1.9991 = (6 + 6/σ)
1.9991 = 12/σ
Cross Multiply
= 1.9991 × σ = 12
σ = 12/1.9991
= 6.00270121555
Approximately 6
Hence, the standard deviation is 6
Answer:
1/6=0.166666666666666666666666666666666666666666666667
Step-by-step explanation:
.5=1/2
half of the numbers are even
.333333333=1/3
a third of the numbers are more than 4
1/2*1/3=1/6
There is a 1/6 probability