Answer:
So the value that separates the bottom 25% of data from the top 75% is -0.00235.
Explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:
Where 
and 
For this part we want to find a value a, such that we satisfy this condition:
(a)
(b)
Both conditions are equivalent on this case. We can use the z score again in order to find the value a.
As we can see on the figure attached the z value that satisfy the condition with 0.25 of the area on the left and 0.75 of the area on the right it's z=-0.674. On this case P(Z<-0.674)=0.25 and P(z>-0.674)=0.75
If we use condition (b) from previous we have this:
But we know which value of z satisfy the previous equation so then we can do this:
And if we solve for a we got
So the value that separates the bottom 25% of data from the top 75% is -0.00235.
Answer:
Realistic aspect
Explanation:
Considering the scenario described in the question it can be concluded that Cosmo shifted his focus onto which REALISTIC aspect of goal-setting theory.
This is because following Cosmo making his dream come true of buying the property that his restaurant occupies, the idea that he could rent out the storefront next to the restaurant for added income is a REALISTIC Aspect of Goal Getting.
This implies that Cosmo is more realistic in terms of his financial abilities and willingness to work toward the goal of paying off the mortgage loan
Answer:
D) bureaucratic control
Explanation:
It seems that in this scenario, Ruben is using bureaucratic control. This term refers to the use of various different rules, policies, authority, documentation, reward systems, and even other formal methods in order to convince and control employee behavior and performance. Which is what Ruben does with his teams of employees by rewarding them if they perform well and taking away their earned leaves if they perform badly.
Use the formula of the present value of an annuity ordinary which is
Pv=pmt [(1-(1+r)^(-n))÷r]
Pv present value 4500
PMTthe actual end-of-year payment?
R interest rate 0.12
N 4 equal annual installments
Solve the formula for PMT
PMT=pv÷[(1-(1+r)^(-n))÷r]
PMT=4,500÷((1−(1+0.12)^(−4))÷(0.12))
PMT=1,481.55
Direct labour rate variance = (3875) unfavourable, Direct labour efficiency rate = (800) unfavourable
<u>Explanation:</u>
<u>Computation of Direct Material Price & Quantity Variance
</u>
Direct Material Purchase - Price variance = (SP minus AP) multiply AQ Purchase ($1.45 minus $1.48) multiply19000 = ($570) Unfavourable
Direc Material Quantity Variance =(SQ-AQ)SP =
((20 multiply600)-10500) multiply$1.45 = $2,175 Favourable
Direct Material Price variance - (SP minus AP)AQ Used = ($1.45minus $1.48) multiply10500 = ($315) Unfavourable
<u>Computation of Direct Labour Rate & Efficiency Variance
</u>
Direct Labour Rate variance = (SR minus AR)multiply AH
= ($8 minus $9.25) multiply3100 = -3875 Un Favourable
Direct Labour Efficiency Variance (SH minus AH)multiply SR
= ((5 multiply 600) minus 3100)multiply8) = -800 Un Favourable
