Draw 4 squares. The perimeter is 10 because the width is 4 and the length is 1. So 4 x 2 is 8 and 1 x 2 is 2. And 8 + 2 = 10.
Answer:
Example: 5(3x + 8)
= 5(3x) + 5(8)
= 15x + 40
Step-by-step explanation:
Answer:
(2,1)
Step-by-step explanation:
We can see that the given triangle.
The coordinates of A are (-1,5) .
The coordinates of B are (-1,-3).
The coordinates of C are (5,-3).
Distance formula:
AB= units
BC= units
AC= units
Pythagoras theorem:
Therefore,
When a triangle satisfied the Pythagoras theorem then, the triangle is right triangle.
Hence, the given triangle is a right triangle.
We know that circum-center of right triangle is the mid point of hypotenuse.
Mid-point formula:
Using this formula then, we get
Mid-point of hypotenuse AC is given by
Hence, the circum-center of triangle is (2,1).
4/25 = 0.16. 0.16 is equal to 16%
Answer:
H0: σ² = 0.0016 against the claim
H1: σ² ≠ 0.0016
Step-by-step explanation:
The claim is the alternative hypothesis . If we have the alternative hypothesis that variance is not equal to 0.0016. Then the null hypothesis would
H0: σ² = 0.0016 against the claim
H1: σ²≠ 0.0016
This is a two tailed test.
The null hypothesis is opposite to the claim stated. The claim is the alternative hypothesis.
By knowing the alternative hypothesis one can find the null hypothesis.
The claim is that the variance of the number of accidents per day is no longer equal to 0.0016.
The claim is H1: variance≠ 0.0016 or
H1= σ²≠ 0.0016
Therefore the null hypothesis is
H0: σ²=0.0016