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:
AC = 25.5 or 1.5
Step-by-step explanation:
If they are on a line and they are in the order ABC
AB + BC = AC
12+13.5 = AC
25.5 = AC
If they are on a line and they are in the order CAB
CA + AB = BC
AC + 12 =13.5
AC = 13.5 -12
AC = 1.5
If they are on a line and they are in the order ACB
That would mean that AB is greater than BC and that is not the case
The answer is normal distribution.
Sampling distributions of means normally have normal distributions.
Answer:
$94
Step-by-step explanation:
Let the price of a bowl, a pan and a dish be $b, $p and $d respectively.
14b +9p +12d= 135 -----(1)
10b +6p +8d= 88 -----(2)
Subtracting equation (1) with equation (2):
14b +9p +12d -(10b +6p +8d)= 135 -88
Expand:
14b +9p +12d -10b -6p -8d= 47
4b +3p +4d= 47
Multiply both sides by 2:
8b +6p +8d= 47(2)
8b +6p +8d= 94
Thus, the price of 8 bowls, 6 pans and 8 dishes is $94.
The amount eroded at millimetre per hour is 0.002283
In order to determine the answer, take the following steps :
1. determine how many hours are in a year
there are 24 hours in a day
There are 365 days in a year
Number of hours in a year = number of days in a year x number of hours in a day
24 x 365 = 8760 hours
2. convert centimetre to millimetre
1 cm = 10mm
2cm x 10 = 20mm
3. Amount eroded per hour in millimetres = amount eroded per year / total number of hours in a year
20 / 8760 = 0.002283 millimetre / hour
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