Factor the GCF: −6x4y5 − 15x3y2 + 9x2y3 (5 points)

suppose 5 men and 7 women are on a crowded elevator. at the next floor, four people get off the elevator. find the probability t

lubasha [3.4K]

The total number of arrangements for all of them to be women is:
C(7, 4) because the order does not matter; we'd still have the same arrangements.

Now, we can simplify this:
$C(7, 4) = \frac{7!}{4!(7 - 4)!}$
$= \frac{5040}{4!3!}$
$= \frac{5040}{24 \cdot 6}$
$= \frac{5040}{144} = 35$

Now, the total number of arrangements, without restriction, is simply: C(12, 4) because we don't care who we pick.

$\text{P(4 women): } \frac{35}{495} = \frac{7}{99}$

3 0

3 years ago

Which of the following functions is equal to sin(90° - )?

scZoUnD [109]

Let sin(90° - )------------------------ > sin (90-x)

sin(a - b) = sin a*cos b - cos a*sin b
so
sin(90 - x) = sin 90*cos x - cos 90 * sin x
sin(90 - x) = 1*cos x - 0* sin x-------- > cos x

the answer is the option D. cos()

8 0

2 years ago

ABC and DEF are congruent triangles. Which of the following is known to be true?

Anna11 [10]

If in triangles ABC and DEF, AB = DE, AC = DF, and angle A = angle D, then triangle ABC is congruent to triangle DEF. Using words: If 3 sides in one triangle are congruent to 3 sides of a second triangle, then the triangles are congruent.

4 0

2 years ago

Who wanna come visit me

Alex17521 [72]

Answer:

UwU sounds like fun, shall i bring the ouiji board so we can talk to everyone who has died there??

-Todo <3

Step-by-step explanation:

8 0

2 years ago

What is the area of this triangle? Please- I stink at Geometry

damaskus [11]

Answer:

Step-by-step exbgvgcvplanation:

-by-step exbgvgcvplanation:

4 0

2 years ago