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2 years ago

Using a deck of 52 playing cards, what are the odds against drawing a 6,7,8, or 9 ?

Mathematics

1 answer:

Ronch [10]2 years ago

5 0

4/13 sorry if it’s wrong

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Complete parallel side 2

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Step-by-step explanation:

Assume length of side 2 = L

Area of parallelogram is Height x L

So, 72 = 8 x L

L = 9

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2 years ago

Simplify 7 (2x + 4) + 14.

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Answer: 14x + 42

7(2x+4)+14

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14x + 42

Step-by-step explanation:

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2 years ago

Solve for x 9x= 1/2(20x-8)

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Answer:

Step-by-step explanation:

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3 years ago

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The boxplot below displays the average number of apple pies consumed in eating contests across a particular state. The higher ou

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6 0

2 years ago

30 points!! What is the sum of the first six terms of the series? 48 - 12 + 3 - 0.75 +...

Lunna [17]

Answer:

The sum of the first six terms is 38.39

Step-by-step explanation:

This is a geometric sequence since the common difference between each term is $-\frac{1}{4}$

Thus, $r=-\frac{1}{4}$

To find the sum of first six terms, we need to find the fifth and sixth term of the sequence.

To find the fifth term:

The general form of geometric sequence is $a_{n}=a_{1} \cdot r^{n-1}$

To find the fifth term, substitute $n=5$ in $a_{n}=a_{1} \cdot r^{n-1}$

$\begin{aligned}a_{5} &=(48) \cdot\left(-\frac{1}{4}\right)^{5-1} \\&=(48) \cdot\left(-\frac{1}{4}\right)^{4} \\&=(48)\left(\frac{1}{256}\right) \\a_{5} &=0.1875\end{aligned}$

To find the sixth term, substitute $n=6$ in $a_{n}=a_{1} \cdot r^{n-1}$

$\begin{aligned}a_{6} &=(48) \cdot\left(-\frac{1}{4}\right)^{6-1} \\&=(48) \cdot\left(-\frac{1}{4}\right)^{5} \\&=(48)\left(-\frac{1}{1024}\right) \\a_{5} &=-0.046875\end{aligned}$

To find the sum of the first six terms:

The general formula to find Sn for $|r|$ is $S_{n}=\frac{a\left(1-r^{n}\right)}{1-r}$

$\begin{aligned}S_{6} &=\frac{48\left(1-\left(-\frac{1}{4}\right)^{6}\right)}{1-\left(-\frac{1}{4}\right)} \\&=\frac{48\left(1-\frac{1}{4096}\right)}{1+\frac{1}{4096}} \\&=\frac{48(0.95)}{5} \\&=\frac{48(0.9998)}{5} \\&=\frac{48(0.9998)}{5} \\&=\frac{47.9904}{5} \\&=38.39\end{aligned}$

Thus, the sum of first six terms is 38.39

5 0

2 years ago

Using a deck of 52 playing cards, what are the odds against drawing a 6,7,8, or 9 ?​

Using a deck of 52 playing cards, what are the odds against drawing a 6,7,8, or 9 ?