Answer: ~27.5
Step-by-step explanation:
I don't know about all the geometry terms, but since a line is 180°, and SE makes 1 right angle (90°), the other side is also 90° (180-90=90).
This means you have a right triangle with sides 15 and 23 and unknown hypotenuse AS.
Pythagorean Theorem: a^2 + b^2 = c^2
(15^2) + (23^2) = AS^2
sqrt( 225 + 529 ) = AS
AS = 27.459
Answer: Binomial
Step-by-step explanation:
1 / 3
A binomial setting has a set number of trials, and the variable in question is the number of
successes that occur in those trials.
A geometric setting does not have a set number of trials, and the variable in question is the
number of trials it takes to get the first success.
In both settings, the trials are independent and the probability of success remains the same on
each trial.
2/3
In this game, the player rolls 7 dice, and F is the number of dice that show a 5. So the variable is
counting the number of successes
The rolls are independent, and the probability of getting a 5 is the same on each roll,
3/3
F is a binomial variable
500/1000 = 1/2 Same distance to zero and one
Answer:
X''(2, -5), Y''(3, -3)
Step-by-step explanation:
You know that reflection in the x-axis changes the sign of the y-coordinate. Points that used to be above the axis are now below by the same amount, and vice versa.
Rotation counterclockwise by 270° is the same as clockwise rotation by 90°. That maps the coordinates like this:
(x, y) ⇒ (y, -x)
The two transformations together give you ...
(x, y) ⇒ (x, -y) ⇒ (-y, -x) . . . . . . . . equivalent to reflection across y=-x.
Using this mapping, we have ...
X(5, -2) ⇒ X''(2, -5)
Y(3, -3) ⇒ Y''(3, -3) . . . . . . on the equivalent line of reflection, so invariant
_____
The attachment shows the original segment in red, the reflected segment in purple, and the rotated segment in blue. The equivalent line of reflection is shown as a dashed green line.
