Answer:
157.6
Step-by-step explanation:
The formula for calculating a z-score is is z = (x-μ)/σ,
where x is the raw score,
μ is the population mean, and
σ is the population standard deviation.
From the question:
Mean = 140
Standard deviation = 40
Recidivism score = x score = ??
z = z score of 67th percentile = 0.44
Hence,
0.44 = x - 140/40
Cross Multiply
0.44 × 40 = x - 140
17.6 = x - 140
x = 140 + 17.6
x = 157.6
Therefore, his corresponding recidivism score is 157.6
Answer:
1) The gradient of a line perpendicular to AB.→ [-2}
2) The equation of the line perpendicular to AB and passing
through the midpoint of AB. →[y=-2x+6]

hope it helps....
have a great day!!
Answer:
<em>The equation will be:
</em>
Step-by-step explanation:
The number of student tickets that were sold
and the number of other tickets that were sold 
Student tickets cost $3 a piece and tickets for everyone else cost $5 each.
So, <u>the total cost of</u>
<u>student tickets</u>
and <u>the total cost of</u>
<u>other tickets</u> 
Given that, the drama club sold <u>total $779 worth of tickets</u>.
So, the equation will be: 
The reflection is
<h3>What is reflection over axis?</h3>
A reflection of a point, a line, or a figure in the X axis involved reflecting the image over the x axis to create a mirror image. In this case, the x axis would be called the axis of reflection.
For reflecting over the X axis is to negate the value of the y-coordinate of each point, but leave the x-value the same.
and, for reflecting over the Y axis is to negate the value of the x-coordinate of each point, but leave the y value the same.
So, by considering the above value rules the reflection of the given points as follows over respective axis.
E(7, 1) ⇒ (7, -1)
Here, the reflection is over x-axis because the y value is changing
F(-3, 5) ⇒ (-3, -5)
Here, the reflection is over x-axis because the y value is changing
G(6, -2) ⇒ (-6, -2)
Here, the reflection is over y-axis because the x value is changing.
Learn more about this concept here:
brainly.com/question/15175017
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Answer: 114.8
Step-by-step explanation: first multiply 76 times 3.28 (249.28) then multiply 11 by 3.28 (364.08) and subtract to get your awnser