Help me! l want the correct answers °_°
1 answer:
Answer:
see explanation
Step-by-step explanation:
(a)
The angle on the circumference is half the central angle , that is
∠ A = ∠ BOC ÷ 2 = 50° ÷ 2 = 25°
(b)
Δ AOC is isosceles ( OA = OC , radii of the same circle ) then the base angles are congruent , that is
∠ ACO = ∠ A = 25°
(c)
Δ BOC is isosceles ( OB = OC, radii of the same circle ) then the base angles are congruent, that is
∠ BCO = =
= 65°
(d)
∠ ACO + ∠ BCO = 25° + 65° = 90° ( angle in a semicircle )
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Answer:
center = 98.6, variability = 0.08
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a random variable X, with mean and standard deviation
, the sample means with size n of at least 30 can be approximated to a normal distribution with mean
and standard deviation
The center is the mean.
So
The standard deviation of the sample of 50 adults is the variability, so
So the correct answer is:
center = 98.6, variability = 0.08
Answer:
y = - 2x + 13
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (5, 3) and (x₂, y₂ ) = (4, 5)
m = =
= - 2, thus
y = - 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (4, 5), then
5 = - 8 + c ⇒ c = 5 + 8 = 13
y = - 2x + 13 ← equation of line