Answer: -7 = e
Step-by-step explanation: To solve this equation for <em>e</em>, we need to get <em>e</em> by itself on the right side of the equation. Since <em>e</em> is multiplied by 16, in order to get <em>e</em> by itself, we need to divide by 16 on the right side of the equation. If we divide by 16 on the right side of the equation, we must also divide by 16 on the left side of the equation.
On the right side of the equation the 16's cancel and we have <em>e</em>. On the right side of the equation -112 divided by 16 is -7. Remember that a negative divided by a positive is a negative.
So we have -7 = e which is the solution to our equation.
To check our solution, we can plug -7 in for <em>e</em> in the original equation. So we have -112 = 16 (-7) or -112 = -112 which is a true statement so our answer checks.
Answer:
The Answer is 76.
Step-by-step explanation:
Given the normal distribution " 10% of employees (rated) exemplary, 20% distinguished, 40% competent, 20% marginal, and 10% unacceptable'', we can see that exemplary employees are top 10% rated employees.
We have the formula for normal distribution:
z=(X-M)÷σ
where z is the <em>minimum z-score </em>for top 10% employee, X is the <em>minimum </em>score for top 10% employee, M is the <em>mean</em> of the score distribution, σ is the <em>standard deviation</em> of the score distribution.
The z-score we are looking for is the value "a" that separates the highest 10% from the lowest 90% i.e. P(z≤a)=0.90
If we look at z-table, corresponding value for a is 1.28155
We can now put the values in the formula:
1.28155=
So X=(1.28155×20)+50=75.631
Therefore minimum score for exemplary employee is 76.
Answer:
82186
Step-by-step explanation:
First divide 55738/9.61 = 5800
Multiply 5800*14.17 = 82186
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In a rigid transformation, the shape of the image remains the same as the preimage
The correct options are;
Rotation; a → b
Translation: a → d
Reflection over a horizontal line: c → e
Reflection over a vertical line: g → f
Rotation then reflection: a → h
Rotation then translation: e → j
The reasons why the above selections are correct are as follows;
- Rotation; Figure <em>a</em> is rotated about a common center to figure <em>b</em> to move from <em>a</em> to <em>b</em>
- Translation: Figure <em>a</em> can be translated towards the left and then upwards to reach figure <em>b</em>
- Reflection over a horizontal line: A reflection over a horizontal line is similar to a reflection across the x-axis, therefore an example of a reflection over horizontal line is c → e
- Reflection over a vertical line: A reflection over a vertical line will turn a left pointing triangle to a right pointing triangle as shown in g → e
- Rotation then reflection: The preimage is first rotated about an axis before it is then reflected as seen in the clockwise rotation figure <em>a</em> about its axis, followed by a reflection across a vertical axis to figure <em>h</em>
- Rotation then translation: The rotation and translation composite transformation can be seen in figure <em>e </em>which is rotated to point left, and then translated into the position of figure <em>j</em>
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Learn more about rigid transformations here:
brainly.com/question/14301866
You would multiply it an you would get 0.0108
