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3 years ago

If a single card is drawn from an ordinary deck of cards, what is the probability of drawing a jack queen king or ace

1 answer:

5 0

There are 4 Jacks, 4 queens, 4 Kings and 4 aces per deck for s total of 16 cards

52 cards in a deck
probability = 16/52 reduces to 4/13

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The composition of any function, f(x), and its inverse, f'(x),

stira [4]

Answer:

Step-by-step explanation:

If both the function and its inverse exist, then the composition of the function with its inverse is just 'x.'

4 0

3 years ago

Choose the numbers that are irrational

creativ13 [48]

Answer:

π and √2.

Step-by-step explanation:

π and √2 are irrational because they cannot be written in the form a/b where a and b are integers.

8 0

3 years ago

Which expressions are equivalent to \dfrac{4^{-3}}{4^{-1}} 4 −1 4 −3 start fraction, 4, start superscript, minus, 3, end super

Slav-nsk [51]

Answer:

$\dfrac{4^{-3}}{4^{-1}} = \dfrac{4^{1}}{4^{3}}$

$\dfrac{4^{-3}}{4^{-1}} = \dfrac{1}{4^{2}}$

Step-by-step explanation:

Given

$\dfrac{4^{-3}}{4^{-1}}$

Required

Choose equivalent expressions

Choosing the first answer:

$\dfrac{4^{-3}}{4^{-1}}$

Split expressions

$4^{-3} * \frac{1}{4^{-1}}$

Apply laws of indices: $(a^{-b} = \frac{1}{a^b})$

$\frac{1}{4^3} * \frac{1}{4^{-1}}$

Apply laws of indices: $(a^{-b} = \frac{1}{a^b})$

$\frac{1}{4^3} * \frac{1}{1/4}$

$\frac{1}{4^3} * \frac{4^1}{1}$

$\frac{4^1}{4^3}$

Hence:

$\dfrac{4^{-3}}{4^{-1}} = \dfrac{4^{1}}{4^{3}}$

Choosing the second:

$\dfrac{4^{-3}}{4^{-1}}$

Apply law of indices: $(\frac{a^m}{a^n} = a^{m-n})$

So,

$\dfrac{4^{-3}}{4^{-1}} = 4^{-3-(-1)}$

$\dfrac{4^{-3}}{4^{-1}} = 4^{-3+1)}$

$\dfrac{4^{-3}}{4^{-1}} = 4^{-2}$

Apply law of indices: $(a^{-b} = \frac{1}{a^b})$

So:

$\dfrac{4^{-3}}{4^{-1}} = \dfrac{1}{4^{2}}$

4 0

3 years ago

Work out (4 x 3)² ÷ 6

blondinia [14]

An expression is defined as a set of numbers, variables, and mathematical operations. The solution of (4 x 3)² ÷ 6 is 24.

<h3>What is an Expression?</h3>

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The solution of the expression (4 x 3)² ÷ 6 is,

(4 x 3)² ÷ 6

= (12)² ÷ 6

= 144 ÷ 6

= 24

Hence, the solution of (4 x 3)² ÷ 6 is 24.

Learn more about Expression:

brainly.com/question/13947055

#SPJ1

6 0

2 years ago

The volume of this box is 24 inches^3.what is the width of the box

Kipish [7]

Width of the box is 80

8 0

4 years ago