<span>With 1026 being the mean score on the SAT and StDev of 209, Jessica has a score of 799/209 z-scores above the mean. Her z-score would be 3.823. The mean of the ACT and StDev are 20.8 and 4.8, respectively. A 28 ACT score would be 7.2/4.8 z-scores above the mean, for a z = 1.500. This means that Jessica has the higher z-score.</span>
Answer:
20 stamps
Step-by-step explanation:
Let x be Muthu's original count
Let y be Sangeetha's original count
x = 4y
x - 12 = y + 12
y = x - 24
x = 4(x - 24)
x = 4x - 96
3x = 96
x = 32
so 32 - 12 = 20
Answer is: a= -4
STEP
1
:
1
Simplify —————
a + 3
Equation at the end of step
1
:
a 3 1
(————————+—————)-——— = 0
((a2)-9) (a-3) a+3
STEP
2
:
3
Simplify —————
a - 3
Equation at the end of step
2
:
a 3 1
(————————+———)-——— = 0
((a2)-9) a-3 a+3
STEP
3
:
a
Simplify ——————
a2 - 9
Equation at the end of step
3
:
a 3 1
(————————————————— + —————) - ————— = 0
(a + 3) • (a - 3) a - 3 a + 3
Equation at the end of step
4
:
(4a + 9) 1
————————————————— - ————— = 0
(a + 3) • (a - 3) a + 3
Pull out like factors :
3a + 12 = 3 • (a + 4)
Equation at the end of step
6
:
3 • (a + 4)
————————————————— = 0
(a + 3) • (a - 3)
3•(a+4)
——————————— • (a+3)•(a-3) = 0 • (a+3)•(a-3)
(a+3)•(a-3)
a+4 = 0
Subtract 4 from both sides of the equation :
a = -4
To find the mean, you have to add all the numbers then divide it by how many numbers there are.
In this case, you'll need to add all those numbers and divide it by 4.
The mean is 1995.
Regular Pirce = $80.
Discount = 20%
Discount = 20% x $80 = 0.2 x 80 = $16
Sale Price = 80 - 16 = $64
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Answer: The Sale Price is $64.
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