Answer:
75% of the data will reside in the range 23000 to 28400.
Step-by-step explanation :
To find the range of values :
We need to find the values that deviate from the mean. Since we want at least 75% of the data to reside between the range therefore we have,
Solving this, we would get k = 2 which shows the value one needs to find lies outside the range.
Range is given by : mean +/- (z score) × (value of a standard deviation)
⇒ Range : 25700 +/- 2 × 1350
⇒ Range : (25700 - 2700) to (25700 + 2700)
Hence, 75% of the data will reside in the range 23000 to 28400.
Answer:
(12-7x)
Step-by-step explanation:
144 − 49x²
by observation, we can see that 144 = 12² and 49 = 7²
hence we can rewrite the equation
144 − 49x²
= 12² - 7²x²
= 12² - (7x)²
recall that the expression x² - y² = (x+y)(x-y)
hence,
12² - (7x)²
= (12 + 7x)(12-7x)
(12-7x) appears in the expression above, hence 12 -7x is a factor
Answer:
A = (x - 6)² sq. units or
A = (x² - 12x + 36) sq. units
Step-by-step explanation:
P = 4s, where s is the side.
4s = 4x - 24
s = x - 6
A = s²
A = (x - 6)² sq. units or
A = (x² - 12x + 36) sq. units
<u>Answer</u>:
[ ( 2 x^2 - x - 5 ) ] / [ ( x + 2 ) ( x - 3 ) ]
option c). is correct.
<u>Step-by-step explanation</u>:
( x + 1 ) / ( x + 2 ) + ( x - 1 ) / ( x - 3 )
= > [ ( x + 1 ) ( x - 3 ) + ( x - 1 ) ( x + 2 ) ] / [ ( x + 2 ) ( x - 3 ) ]
= > [ ( x^2 - 3 x + x - 3 + x^2 + 2 x - x - 2 ) ] / [ ( x + 2 ) ( x - 3 ) ]
= > [ ( 2 x^2 - x - 5 ) ] / [ ( x + 2 ) ( x - 3 ) ]
Hence we get required answer!
