Mean = 12000
Standard Deviation = 2000
We have to find how many standard deviations is 14,500 away from the mean.
This can be achieved by calculating the z-score
Z-score tells us how many standard deviations above or below is a sample value from the mean. A positive z value shows, sample value is above the mean.
z score can be calculated as = (Sample Value - Mean )/Standard Deviation)
So,
Z-score =
This means, 14,500 is 1.25 standard deviations above the mean value 12,000.
A score of 85 would be 1 standard deviation from the mean, 74. Using the 68-95-99.7 rule, we know that 68% of normally distributed data falls within 1 standard deviation of the mean. This means that 100%-68% = 32% of the data is either higher or lower. 32/2 = 16% of the data will be higher than 1 standard deviation from the mean and 16% of the data will be lower than 1 standard deviation from the mean. This means that 16% of the graduating seniors should have a score above 85%.
Answer:
33.33%
Step-by-step explanation:
We are told that the customer paid Rs. 2034 after getting 10% discount with 13% vat on marked price (m.p.)
hence:-
2034 = m.p. × 90/100 × 113/100
m.p = (2034 × 100 × 100)/(90 × 113)
m.p. = Rs.2000
Now, due to the fact that VAT (which in this question is given to be 13%) is not the profit of the retailer, thus the selling price (s.p.) of the bag would be given by;
s.p = m.p. × 90/100
s.p = 2000 × 90/100
s.p = Rs. 1800
We are told that the retailer made a profit of 20%
Thus:-
c.p. × 120/100 = s.p.
c.p.= s.p. × 100/120
c.p.= 1800 × 100/120
c.p. = Rs.1500
Therefore, the percentage with which he marked above the c.p is;
% mark up = (m.p - c.p)/c.p) × 100
Plugging in the relevant values, we have;
(2000 - 1500)/1500) × 100
(500/1500) × 100 = 33.33%
Answer:
-43
Step-by-step explanation:
-2x2 + 2x - 3?
Let x = 5
-2 (5)^2 +2(5) -3
-2 (25) +10 -3
-50 +10 -3
-43