Formula for distance between two points:
d = √((x₂-x₁)² + (y₂-y₁)²)
Let point 1 be (-3, 11) and point 2 be (5, 5)
Therefore x₁ = -3, y₁ = 11, x₂ =5, y₂ = 5, and substituting in the formula above.
d = √((x₂-x₁)² + (y₂-y₁)²)
= √((5- -3)² + (5-11)²)
= √((5+3)² + (5-11)²)
= √((8)² + (-6)²) 8² = 8*8 = 64, (-6)² = -6*-6 = 36
= √(64 + 36)
= √(100)
= 10
Distance = 10 units.
Answer:
The table:
x | y
2 5
3 7.5
6 15
Explanation:
Yes, Y is proportional to X and Y because it follows the equation which is
y = 5/2x
Answer:
H1 : μ < 1225
Step-by-step explanation:
The alternative hypothesis in carrying out a statistical test could be explained as a notion which aims to displace or rival an initial position, the null hypothesis.
When declaring an hypothesis, the statement compares the initial or population mean in the hypothesis statement and not the result or outcome of the sample statistic.
In the scenario above :
The null is of the notion that :
H0 : μ = 1225 ;
Hence, the stance of the alternative which is that the mean is lower or less will be written as :
H1 : μ < 1225
Answer:
y = 3.2
Step-by-step explanation:
Simplifying
5y + -6 = 10
Reorder the terms:
-6 + 5y = 10
Solving
-6 + 5y = 10
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '6' to each side of the equation.
-6 + 6 + 5y = 10 + 6
Combine like terms: -6 + 6 = 0
0 + 5y = 10 + 6
5y = 10 + 6
Combine like terms: 10 + 6 = 16
5y = 16
Divide each side by '5'.
y = 3.2
Simplifying
y = 3.2
