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2 years ago

In a standard deck of playing cards, one-fourth of the cards are hearts.

Mathematics

1 answer:

makkiz [27]2 years ago

7 0

Answer:

$\sf D) \quad \dfrac{1}{64}$

Step-by-step explanation:

$\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}$

Probability of drawing a heart from one deck:

$\sf \implies P(heart)=\dfrac{1}{4}$

Therefore, probability of drawing a heart from each of 3 decks:

$\sf \implies P(heart)\:and\:P(heart)\:and\:P(heart)=\dfrac{1}{4} \times \dfrac{1}{4} \times \dfrac{1}{4}=\dfrac{1}{64}$

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5×=15+10y,3×+7y=31 it's for tomorrow pls

Katarina [22]

Answer:

x = 6.39, y = 1.69 is the solution of the given equation system.

Step-by-step explanation:

Here, the given set of equation is:

5 x = 15 + 10 y ⇒ 5 x - 10 y = 15 ...... (1)

3 x +7 y = 31 ............. (2)

Now, the coefficient of x in first equation id 5 and in second is 3.

So, MULTIPLY (1) with 3 and (2) with -5 , we get:

15 x - 30 y = 45

-15 x- 35 y = -155

<u>ADD BOTH EQUATIONS ,</u> we get:

15 x - 30 y -15 x- 35 y = 45 - 155

or, -65 y = -110

or, y = 110/65 = 1.69

Put y = 1.69 in 3 x +7 y = 31 , we get:

3(x) + 7 (1.69) =31

⇒ 3 x = 19.17 or x = 6.39

Hence, x = 6.39, y = 1.69 is the solution of the given equation system

3 0

2 years ago

Find the measure of Angle 2. measure of angle 1 = x measure of angle 2 = x-6

eduard

7 0

3 years ago

Read 2 more answers

A corporation must appoint a president, chief executive officer (CEO), chief operating officer (COO), and chief financial off

Travka [436]

Answer:

There are 524,560 ways that the committee can be appointed.

Step-by-step explanation:

There are 9 different positions, a president, 3 officers and five committee members.

P - O1 - O2 - O3 - C1 - C2 - C3 - C4 - C5

There are 17 candidates, any of them can be president. So P = 17.

All of the others can be an officers. So O1 = 16, O2 = 15(17 subtracted by the president and O1), O3 = 14.

The officers can be committee members, so, C1 = 16, C2 = 15, C3 = 14, C4 = 13, C5 = 12.

How many different ways can the committee be appointed?

This is the sequence C1...C5:

$N = 16*15*14*13*12 = 524,560$

There are 524,560 ways that the committee can be appointed.

6 0

3 years ago

1.5 X -2.4 is greater than or equal to 6.6

kotegsom [21]

Answer:

greater than because positive times negative equals positive

5 0

2 years ago

Use the FOIL Method to find (x−4)(x+8).

Oksi-84 [34.3K]

Answer:

$x^2 +4x - 32$

Step-by-step explanation:

By FOIL method, $(x-4)(x+8) = x \cdot x + x \cdot 8 + -4 \cdot x + -4 \cdot 8 = x^2 +4x - 32.$

8 0

3 years ago