Answer:
(5 + 3y)(25 - 15y + 9y²)
Step-by-step explanation:
This is a sum of cubes and factors in general as
a³ + b³ = (a + b)(a² - ab + b²), thus
125 + 27y³
= 5³ + (3y)³ with a = 5 and b = 3y
= (5 + 3y)(5² - 5(3y) + (3y)² )
= (5 + 3y)(25 - 15y + 9y²)
find the range of the function f(x) = 4x - 1 for the domain {-1, 0, 1, 2, 3}. {-5, -3, 0, 7, 11} {-5, -4, -3, -2, -1} {-11, -7,
Papessa [141]
Range = {4(-1) - 1, 4(0) - 1, 4(1) - 1, 4(2) - 1, 4(3) - 1} = {-4 - 1, 0 - 1, 4 - 1, 8 - 1, 12 - 1} = {-5, -1, 3, 7, 11}
Answer:
1/10 10% of 1
Step-by-step explanation:
3/4 0.75
0.2 20% of 1
15/10 150% of 1
14/10 1.4
Answer: 2718
Step-by-step explanation:
Given: Mean score = 85
Standard deviation = 5
Let x be the score of a random student that follows normal distribution.
Then, the probability that a student scored between 90 and 95 will be
The number of students scored between 90 and 95 = 0.1359 x (Total students)
= 0.1359 (20000)
= 2718
Hence, The number of students scored between 90 and 95 = 2718
20 + 40x = 260
40x = 260 - 20
40x = 240
x = 240/40
x = 6 fulltime employees needed
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