Answer:
-5
Step-by-step explanation:
Let n be the unknown number
difference is subtraction
3n -4 = -19
Add 4 to each side
3n-4+4 = -19+4
3n = -15
Divide by 3
3n/3 = -15/3
n = -5
A . a perpendicular bisector
Answer:
option (D) 16.5
Step-by-step explanation:
Data provided:
Sleep time of , X = 15.9 is at the 10th percentile
Standard deviation, σ = 0.5 hour
also,
10th percentile of normal distribution is
Z = F⁻¹(0.10)
or
Z = - 1.28 (Using Standard Normal distribution)
Now,

or
X = μ + ( σ × Z )
or
μ = X - ( σ × Z )
on substituting the respective values, we get
μ = 15.9 - 0.5 × (-1.28)
or
μ = 16.5
Hence, the correct answer is option (D) 16.5
Answer:
3x³ - 12x + 4
Step-by-step explanation:
The opposite of a polynomial P is -P.
You find the opposite of P by multiplying it by -1.
P = -3x³ + 12x - 4
-P = (-1)( -3x³ + 12x - 4) Distribute -1 to each term
= (-1)(-3x³) + (-1)(12x) - (-1)(4) Multiply each coefficient by -1
= 3x³ + (-12)x - (-4)
= 3x³ - 12x + 4
Answer: C
Step-by-step explanation: