Answer:
The correct answer is 0.05882.
Step-by-step explanation:
A deck of cards have 52 cards, 13 cards of each suit.
We are drawing two cards without replacement.
We need to find the probability of getting a diamond as the first card.
Favorable outcomes are 13 and total number of outcomes are 52.
Thus this probability is
.
Now for the next draw we again want to pick a diamond card.
Favorable outcomes are 12 and total number of leftover cards are 51.
Thus this probability is
.
Now the probability that both cards are diamonds is
×
=
= 0.0588235 ≈ 0.05882
Answer:
y-2 = -2(x+1)
Step-by-step explanation:
Find the slope(m) first using the two points (3, -6) and (-1, 2).
Slope: -2
Next, plug in x₁ and y₁. I plugged in (-1, 2)
Answer:
the total area is 15.6 square units
Step-by-step explanation:
hello,
you can find the total area dividing the shape into two known shapes
total area= area of the trapezoid +area of the semicircle
then
step one
find the area of the isosceles trapezoid using

where
a is the smaller base
b is the bigger base
h is theheight
A is the area
let
a=2
b=5
h=4
put the values into the equation

Step two
find the area of the semicircle
the area of a circle is given by

but, we need the area of half circle, we need divide this by 2

now the diameter of the semicircle is 2, put this value into the equation

find the total area
total area= area of the trapezoid +area of the semicircle

so, the total area is 15.6 square units
Have a good day.
Answer:
B
Step-by-step explanation:
He also is a point guard and has shoe game.
Given:
Mrs. Applegate owns
of the business.
Mrs. Brown owns 3 times as much as Mrs. Charles.
To find:
The fractional part of the business that Mrs. Brown owns.
Solution:
Let Mrs. Charles owns x part of business.
Mrs. Brown owns 3 times as much as Mrs. Charles.
Mrs. Brown owns = 3x part of business.
Mrs. Applegate owns
of the business.




Divide both sides by 4.


Now,
Mrs. Brown owns

Therefore, Mrs. Brown owns
of the business.