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3 years ago

How do you do this? plz I really need help.

Mathematics

1 answer:

Vlada [557]3 years ago

7 0

The top two answers are equivalent, while the bottom one is not. You would use distributive property in the parentheses. If both expressions are the same, they are equivalent

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A card is drawn at random from a standard deck of 52 cards. Find the following conditional probabilities. a) The card is a diam

Inga [223]

Answer:

$a.\frac{1}{13}\\b.\frac{1}{2}\\c.\frac{1}{13}\\d.\frac{1}{13}$

Step-by-step explanation:

P(A|B) = P(A and B) / P(B)

Total number of cards = 52

Let A denotes the event that the card is a diamond and B denotes the card is red.

$P\left ( A|B \right )=\frac{P\left ( A\cap B \right )}{P(B)}\\=\frac{\frac{2}{52}}{\frac{26}{52}}\\=\frac{1}{13}$

Let A denotes the event that the card is red and B denotes the card is diamond.

$P\left ( A|B \right )=\frac{P\left ( A\cap B \right )}{P(B)}=\frac{\frac{2}{52}}{\frac{4}{52}}\\=\frac{1}{2}$

Let A denotes the event that the card is nine and B denotes the card is red.

$P\left ( A|B \right )=\frac{P\left ( A\cap B \right )}{P(B)}=\frac{\frac{2}{52}}{\frac{26}{52}}\\=\frac{1}{13}$

Let A denotes the event that the card is a king and B denotes the card is a face card.

$P\left ( A|B \right )=\frac{P\left ( A\cap B \right )}{P(B)}=\frac{\frac{4}{52}}{\frac{12}{52}}\\=\frac{1}{13}$

7 0

3 years ago

Problem: a circle is inscribed in a square. The squares perimeter is 16 times the square root of 6. What is the probability of s

Oksi-84 [34.3K]

I got 21% at selecting a point outside.
Explanation: Since the perimeter is 16sqrt (6), each side must be 4sqrt (6)
This also means that the diameter is 4sqrt (6).

To find the area of a circle, we need to find the radius (2sqrt (6)).
Area of circle is pi × (2sqrt (6))^2 = 24pi or approximately 75.4 units^2
Area of square is 4sqrt (6)^2 = 96

Thus, let's take the area of the circle and subtract that from the area of our square to yield approx. 20.6 units^2
and now divide through by 96 to yield 21%

8 0

3 years ago

Solve -x/3>5 i don't know what to do

jonny [76]

Answer:

It's D, x≤-15

7 0

3 years ago

If x + 3y = 13 and x + y = 5, the value of y is which of the following?

lana [24]

Just change the y to all of the answers. The correct answer to this particular one is D. 4

5 0

3 years ago

What is the discriminant of 3x^2+6x=2

IgorC [24]

$ax^2+bx+c=0\\\\the\ discriminant:\Delta=b^2-4ac\\============================\\\\3x^2+6x=2\ \ \ \ \ |subtract\ 2\ from\ both\ sides\\\\3x^2+6x-2=0\\\\a=3;\ b=6;\ c=-2\\\\\Delta=6^2-4\cdot3\cdot(-2)=36+24=\boxed{60}\leftarrow answer$

7 0

3 years ago