Answer:
The remaining interior angles of this triangle are 140º and 10º
Step-by-step explanation:
The sum of the interior angles of a triangle is always 180º.
A triangle has 3 angles. In this problem, we have one of them, that i am going to call A1 = 30º.
The sum of a interior angle with it's respective exterior angle is also always 180º.
We have that one of the exterior angles is equal to 40°. So it's respective interior angle is
40º + A2 = 180º
A2 = 180º - 40º
A2 = 140º
Now we have two interior angles, and we know that the sum of the 3 interior angles is 180º. So:
A1 + A2 + A3 = 180º
A3 = 180º - A1 - A2
A3 = 180º - 30º - 140º
A3 = 180º - 170º
A3 = 10º
Given:
μ = $3.26 million, averaged salary
σ = $1.2 million, standard deviation
n = 100, sample size.
Let x = random test value
We want to determine P(x>4).
Calculate z-score.
z = (x - μ)/ (σ/√n) = (4 - 3.26)/(1.2/10) = 6.1667
From standard tables,
P(z<6.1667) = 1
The area under the distribution curve = 1.
Therefore
P(z>6.1667) = 1 - P(z<=6.1667) = 1 - 1 = 0
Answer: The probability is 0.
Atleast 302.5 can fit on the shelves
Number of faces + (Number of vertices - Number of edges) = 2
So plugging in the numbers it would then be
18+(12-30)=2
18-18=2
0=2
Kelvin would be wrong and I disagree with him. (Because ...*plugin work cited above*)
60 tables total. 25% of those seat 22 people. 60 X 25% = 15. So 15 of the tables seat 22 people.
The remaining tables (60 tables - 15 tables = 45 tables) seat 44 people.
So you have:
(15 tables X 22 seats) + (45 tables X 44 seats) = total seats.
2310 TOTAL seats.