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kati45 [8]
3 years ago
15

Write an expression:

Mathematics
1 answer:
Nikitich [7]3 years ago
6 0
60÷x. 55÷x. 17+x. 12×x
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If a single card is drawn from a standard 52-card deck, what is the probability that it is an ace or a spade?
klasskru [66]

A 52-card deck is made up of an equal number of diamonds, hearts, spades, and clubs. Because there are 4 suits, there is a 1/4 chance to draw one of them, in our case, spades.

There are 4 aces in a 52-card deck, so the chance of drawing one is 4/52, or 1/13.

The question asks for the probability of drawing an ace or a spade. Because it uses the word "or," we add the probabilities together. This is because there is a chance of drawing either of the cards; it doesn't have to meet both requirements to satisfy the statement.

However, if the question were to say "and," we would multiply the two probabilities.

Let's add 1/4 and 1/13. First, we can find a common denominator. We can use 52 because both fractions can multiply into it (since the ratio came from a deck of 52 cards as well).

\frac{1}{4} -- > \frac{13}{52}

\frac{1}{13} -- > \frac{4}{52}

Now we can add them together.

\frac{13}{52} + \frac{4}{52} = \frac{13+4}{52} = \frac{17}{52}

This cannot be simplified further, so the probability is 17 in 52, or 33%.

hope this helps!

7 0
1 year ago
Read 2 more answers
Find the second derivative of 2x^3-3y^2=8​
Umnica [9.8K]

Answer:

\frac{d^2y}{dx^2}=\frac{x(2y-x^3)}{y^3}

Step-by-step explanation:

<u>Find the first implicit derivative using implicit differentiation</u>

<u />2x^3-3y^2=8\\\\6x^2-6y\frac{dy}{dx}=0\\ \\-6y\frac{dy}{dx}=-6x^2\\ \\\frac{dy}{dx}=\frac{x^2}{y}

<u>Use the substitution of dy/dx to find the second derivative (d²y/dx²)</u>

<u />\frac{d^2y}{dx^2}=\frac{(y)(2x)-(x^2)(\frac{dy}{dx})}{y^2}\\ \\\frac{d^2y}{dx^2}=\frac{2xy-(x^2)(\frac{x^2}{y})}{y^2}\\\\\frac{d^2y}{dx^2}=\frac{2xy-\frac{x^4}{y}}{y^2}\\\\\frac{d^2y}{dx^2}=\frac{x(2y-x^3)}{y^3}

5 0
2 years ago
The length of every chord in a circle is always greater than the length of a radius.
Anika [276]

Answer:

the answer would be false

8 0
2 years ago
Using the problem below, solve and explain how you got the solution to the system of equation.
Paul [167]

Answer:

(5, -3)

y= -3

x= 5

Step-by-step explanation:

-x-2y=1

x+y=2

solve the equation

-x-2y=1

x=2-y

substitute the value of x into an equation

-(2-y)-2y=1

remove parenthesis

-2-y-2y=1

subtract y to 2y

-2-y=1

add 2 from both sides

-y=3

divide both sides by -y

y= -3

substitute the value of y into an equation

x=2-(-3)

remove parenthesis

x=2+3

add 2 to 3

x=5

----------

(5,-3)

----------

7 0
3 years ago
What is the product of -2x^3+8 and -4x
slega [8]

Answer:

In mathematics, a product is a number or a quantity obtained by multiplying two or more numbers together. For example: 4 × 7 = 28 Here, the number 28 is called the product of 4 and 7.

Step-by-step explanation:

hope this helps you :)

8 0
3 years ago
Read 2 more answers
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