4 (i literally had to think about this cause i thought it was too easy )
Answer:
(3, 2)
Step-by-step explanation:
Given the 2 equations
y = 2x - 4 → (1)
3x + y = 11 → (2)
Substitute y = 2x - 4 into (2)
3x + 2x - 4 = 11
5x - 4 = 11 ( add 4 to both sides )
5x = 15 ( divide both sides by 5 )
x = 3
Substitute x = 3 into (1) for corresponding value of y
y = (2 × 3) - 4 = 6 - 4 = 2
Solution is (3, 2)
Answer:
1
Step-by-step explanation:
it's easy
Answer:
(-2,-5)
Step-by-step explanation:
y = 2x-1
3x-y = -1
We can use substitution
3x - (2x-1) = -1
Distribute the minus sign
3x -2x+1 = -1
x +1 =-1
Subtract 1 from each side
x+1-1 = -1-1
x=-2
Now we need to find y
y = 2x-1
y = 2(-2) -1
y = -4-1
y = -5
(-2,-5)
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
