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2 years ago

What is the probability of getting either a nine or an ace when drawing a single card from a deck of 52 cards?

Mathematics

1 answer:

Flura [38]2 years ago

8 0

probability of drawing ace: 4/52 = 1/13

probability of drawing 9: 4/52 = 1/13

probability of drawing ace or 9: 1/13 + 1/13 = 2/13 or ~15.4%

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Please explain the problem to me step by step

JulijaS [17]

<h3>Solution:</h3>

$\frac{4y}{9} - \frac{2y}{3} = 10 \\ = > \frac{4y - 6y}{9} = 10 \\ = > \frac{ - 2y}{9} = 10 \\ = > y = 10 \times \frac{9}{ - 2} \\ = > y = - 5 \times 9 \\ = > y = - 45$

<h3>Answer:</h3>

-45

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2 years ago

What is the age of each of these people.

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You can do it if you believe in your self!

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2 years ago

How many Solutions does this system have? (1 point)

mixas84 [53]

The given system of equation that is $2x+y=3$ and $6x=9-3y$ has infinite number of solutions.

Option -C.

<u>Solution:</u>

Need to determine number of solution given system of equation has.

$\begin{array}{l}{2 x+y=3} \\\\ {6 x=9-3 y}\end{array}$

Let us first bring the equation in standard form for comparison

$\begin{array}{l}{2 x+y-3=0} \\\\ {6 x+3 y-9=0}\end{array}$

$\frac{a_{1}}{a_{2}}=\frac{b_{1}}{b_{2}} \neq \frac{c_{1}}{c_{2}}$

To check how many solutions are there for system of equations $a_{1} x+b_{1} y+c_{1}=0 \text{ and }a_{2} x+b_{2} y+c_{2}=0$ , we need to compare ratios of $\frac{a_{1}}{a_{2}}, \frac{b_{1}}{b_{2}} \text { and } \frac{c_{1}}{c_{2}}$

In our case,

$a_{1} = 2, b_{1}= 1\text{ and }c_{1}= -3$

$a_{2} = 6, b_{2} = 3,\text{ and }c_{2} = -9$

$\begin{array}{l}{\Rightarrow \frac{a_{1}}{a_{2}}=\frac{2}{6}=\frac{1}{3}} \\\\ {\Rightarrow \frac{b_{1}}{b_{2}}=\frac{1}{3}} \\\\ {\Rightarrow \frac{c_{1}}{c_{2}}=\frac{-3}{-9}=\frac{1}{3}} \\\\ {\Rightarrow \frac{a_{1}}{a_{2}}=\frac{b_{1}}{b_{2}}=\frac{c_{1}}{c_{2}}=\frac{1}{3}}\end{array}$

As $\frac{a_{1}}{a_{2}}=\frac{b_{1}}{b_{2}}=\frac{c_{1}}{c_{2}}$ , so given system of equations have infinite number of solutions.

Hence, we can conclude that system has infinite number of solutions.

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2 years ago

Can someone help? exams are tomorrow and i have no clue how to do this problem?

cluponka [151]

Hi i don’t really know the answer but i just wanted to say good luck on ur exams and you will do great!!

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2 years ago

Amber is solving the inequality |x+6|-12<13 by graphing. Which equations should Amber graph?

DENIUS [597]

Answer:

y₁ = |x + 6| and y₂ = 25

Step-by-step explanation:

<u>Given inequality</u>

|x+6| - 12 < 13
|x+6| < 13 + 12
|x+6| < 25

To solve this inequality graphically you need two graphs according left and right sides of inequality

<u>So the graphs should be:</u>

y₁ = |x + 6| and y₂ = 25

See attached for the graph

3 0

2 years ago

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What is the probability of getting either a nine or an ace when drawing a single card from a deck of 52​ cards?

What is the probability of getting either a nine or an ace when drawing a single card from a deck of 52 cards?