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777dan777 [17]
2 years ago
9

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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Find the domain and range of each relation. Then determine if the relation is a function. ​
Vlad [161]

Answer:

There is no fixed domain, meaning it is ongoing

The range is from -1 ≤ x ≤ 3

It is a function

Step-by-step explanation:

Domain refers to the x values. If there was a domain then there would be a dot or a point signalling that there is a fixed domain, however, there are arrows meaning that it will keep going.

The range refers to the y-values. The lowest y-value is -1 and the highest is 3.

It is a function because, when you do the vertical line test, each x-value has its own y-value.

3 0
2 years ago
My Question is find the x-intercept of following equation.simplify your answer 15x+-4y=20
Stels [109]
I believe the answer is 20/15.
3 0
3 years ago
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-4^2-17
Irina18 [472]

Answer:

Step-by-step explanation:

-4 is really  -1 * 4

-4² = -1 * 4²

-4² = -1 * 16

-4² = -16

Use parenthesis  to square

(-1 * 4)² = (-4)²

(-4)² = 16

5 0
3 years ago
Can someone answer these questions ? thank you
Naya [18.7K]

Answer:

Step-by-step explanation:

12a)To rationalize the denominator, multiply the denominator and numerator by √5.

\frac{15}{\sqrt{5}}=\frac{15*\sqrt{5}}{\sqrt{5}*\sqrt{5}}\\\\=\frac{15\sqrt{5}}{5}\\\\=3\sqrt{5}

b) (a+b)² = a² + 2ab + b²

(1 +√3)² = 1² + 2*1*√3 + (√3)²

= 1 + 2√3 + 3

= 4 + 2√3

a = 4 ; b =2

13) (a + b)(a - b) = a² - b²

\frac{(6-\sqrt{5})(6+\sqrt{5})}{\sqrt{31}}=\frac{6^{2}-(\sqrt{5})^{2}}{\sqrt{31}}\\\\ =\frac{36-5}{\sqrt{31}}\\\\=\frac{31}{\sqrt{31}}\\\\=\frac{31*\sqrt{31}}{\sqrt{31}*\sqrt{31}}\\\\=\frac{31\sqrt{31}}{31}\\\\=\sqrt{31}

5 0
3 years ago
What is the value of ( 4^2 − 6 ) ÷ 2 × 3^2 ?
Amanda [17]

Answer: 45

Step-by-step explanation:

5 0
2 years ago
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