There are 180 degrees in total inside a triangle.
If something is equilateral that means that all the angles are equal.
180/3 equals 60 degrees.
That means that all angles of an equilateral triangle are always equal to each other and if you must know, are 60 degrees
When you collect terms, for
the first one you get
-x² -3xy +4 = -x² -3xy +4 . . . . . . equivalent equations.
Answer:
23.44%
Step-by-step explanation:
The probability of getting a 4 on the first 2 throws and different numbers on the last 5 throws = 1/6 * 1/6 * (5/6)^5
= 0.01116
There are 7C2 ways of the 2 4's being in different positions
= 7*6 / 2 = 21 ways.
So the required probability = 0.01116 * 21
= 0.2344 or 23.44%.
Answer:
The proportion of exam scores that are lower than Irina's score is 0.9938
Step-by-step explanation:
<u>Data</u>
- standard deviation (sd): 6 points
- value of interest (x): 95 points
z-score is computed as follows:
z = (x - mean)/sd
z = (95 - 80)/6 = 2.5
We want to find:
P(z < 2.5)
From the table attached:
P(z < 2.5) = 0.9938
Answer:
36
Step-by-step explanation:
The maximum height is the y-coordinate of the vertex
given a quadratic in standard form : ax² + bx + c : a ≠ 0
then the x-coordinate of the vertex is
= -
y = - x² + 20x - 64 is in standard form
with a = - 1, b = 20 and c = - 64, hence
= - = 10
substitute x = 10 into the equation for y
y = - (10)² + 20(10) - 64 = 36 ← max height