Answer:
3a + b = 180
Step-by-step explanation:
Supplementary angles are angles that, when added, equal 180 degrees.
Let's use a to represent the unknown angle, and b to represent its supplement:
3a + b = 180
Answer:
The center of the circle is (-3,-2)
Step-by-step explanation:
we know that
The equation of a circle in standard form is equal to
where
(h,k) is the center
r is the radius
In this problem we have
Completing the square
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Complete the square twice. Remember to balance the equation by adding the same constants to each side.
Rewrite as perfect squares
therefore
The center of the circle is (-3,-2)
Answer:
Trinity, find the answers below
Step-by-step explanation:
for the 1st picture, minor angels ∠1, ∠2, ∠3 are all the same as the shown angle of 130°
for the 2nd picture, minor angles ∠2, ∠3 are the same as the shown angle of 80° and ∠1 is the adjacent angle to 80°, so it's 100° , because 180° - 80° = 100°
Answer:
<em><u>B.</u></em>
Step-by-step explanation:
The answer is B since it cost $3 for 5, it would be $6 or double for 10.
Answer: sample required n = 18
Step-by-step explanation:
Given that the value under under null hypothesis is 40 while the value under the alternative is less than 40, specifically 35.9
∴ H₀ : u = 40
H₁ : u = 35.9
therefore β = ( 35.9 - 40 ) = -4.1
The level of significance ∝ = 0.05
Probability of committing type 11 error P = 0.1
standard deviation α = 5.8
Therefore our z-vales (z table)
Z₀.₅ = 1.645
Z₀.₁ = 1.282
NOW let n be sample size
n = {( Z₀.₅ + Z₀.₁ )² × α²} / β²
n = {( 1.645 + 1.282 )² × 5.8²} / (- 4.1)²
n = 17.14485
Since we are talking about sample size; it has to be a whole number
therefore
sample required n = 18