Answer:
150°
Step-by-step explanation:
the sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
here n = 12 , then
sum = 180° × 10 = 1800°
the 12 interior angles of a regular polygon are congruent , then
interior angle = 1800° ÷ 12 = 150°
9514 1404 393
Answer:
12 or 103
Step-by-step explanation:
The given angle is opposite the shorter side, so there will be two solutions.
In order to find f, we need to know angle F. We can find that by first finding angle E.
E = arcsin(e/d·sin(D)) = arcsin(71/62·sin(36°)) = 42.307° or 137.693°
F = 180° -D -E = 180° -36° -{42.307°, 137.693°} = {101.693°, 6.307°}
Then the measure of f is ...
f = sin(F)/sin(D)×d = 62/sin(36°)×sin({101.693°, 6.307°})
f = {103.29, 11.59}
Side f is either 12 or 103.
Answer:
Mark has 24
Don has 79
Step-by-step explanation:
Let x = marbles mark has
don has 3x+7
Together they have 103
mark + don = 103
x+ (3x+7) = 103
Combine like terms
4x+7 = 103
Subtract 7
4x = 96
Divide by 4
x = 96/4
x =24
Mark has 24
Don has 103 -24
Done has 79
Answer:
p(s) = 0,33
Step-by-step explanation:
n = 450
p₀ = 150/450 p₀ = 0,33 then q₀ = 0,67
n*p₀ = 0,33*450 = 150
n*q₀ = 0,67*450 = 301
n*p₀ and n*q₀ more than 10, we can approximate the binomial to a Normal Distribution Distribution
a) p - p₀ = z(c) * √ (p₀q₀)/n
z(c) = ??
CI 95 % then α = 5 % α = 0,05 α/2 = 0,025
z(c) = 1,96
p = p₀ ± z(c) * √ (p₀q₀)/n
p = 0,33 ± 1,96 * 0,022
p = ( 0,33 - 0,04 ; 0,33 + 0,04
p = ( 0,29 ; 0,37 )
The value of the center of the confidence Interval is 0,33
p(s) = 0,33
Its hard to explain how to solve but I could just give you the answer: 4.4
