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3 years ago

Simplify this expression 8n/17n

Mathematics

1 answer:

docker41 [41]3 years ago

4 0

You can reduce the expression by cancelling out common factor $n$ :

$\frac{8n}{17n} = \frac{8}{17}$

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You are drawing two cards, without replacement, from a standard deck of 52 cards. What is the

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Answer: 0.0637

Step-by-step explanation:

There are 13 hearts. The chance of drawing a heart in your first draw is 13/52, or in other words 1/4

There are 13 diamonds. The chance of drawing a heart on your second draw after removing the heart is 13/51

The chance of drawing a heart, and then, drawing an orange, are 1/4*13/51=13/204.

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what day of the week will it be 1,000 days from today?Use math to solve this problem. Explain your answer.

Rasek [7]

Answer:

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Step-by-step explanation:

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3 years ago

It has been estimated that only about 30% of California residents have adequate earthquake supplies. Suppose you randomly survey

mote1985 [20]

Answer:

$P(X\geq 8)=0.0043\\\\$

It's more likely that all of the residents surveyed will have adequate earthquake supplies since it has a probability of 98.02% which is very close to 100%.

Step-by-step explanation:

-This is a binomial probability problem with the function:

$P(X=x)={n\choose x}p^x(1-p)^{n-x}$

-Given p=0.3, n=11, the is calculated as:

$P(X=x)={n\choose x}p^x(1-p)^{n-x}\\\\P(X\geq 8)=P(X=8)+P(X=9)+P(X=10)+P(X=11)\\\\={11\choose 8}0.3^8(0.7)^3+{11\choose 9}0.3^9(0.7)^2+{11\choose 10}0.3^{10}(0.7)^1+{11\choose 11}0.3^{11}(0.7)^0\\\\=0.0037+0.0005+0.00005+0.000002\\\\=0.0043$

Hence, the probability that at least 8 have adequate supplies 0.0043

#The probability that non has adequate supplies is calculated as;

$P(X=x)={n\choose x}p^x(1-p)^{n-x}\\\\P(X= 0)={11\choose 0}0.3^{0}(0.7)^{11}\\\\=0.0198$

#The probability that all have adequate supplies is calculated as:

$P(X=x)={n\choose x}p^x(1-p)^{n-x}\\\\P(X= All)=1-{11\choose 0}0.3^{0}(0.7)^{11}\\\\=1-0.0198\\\\=0.9802$

Hence, it's more likely that all of the residents surveyed will have adequate earthquake supplies since $P(All)>P(None)\ \$ and that this probability is 0.9802 or 98.02% a figure close to 1

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