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2 years ago

What is the Order of Magnitude of the number of pennies equivalent to a quarter?

Mathematics

1 answer:

Talja [164]2 years ago

3 0

Answer:

It is mainly used while doing scientific notation. If two numbers differ by one order of magnitude, one is about ten times larger than the other. If they differ by two orders of magnitude, they differ by a factor of about 100.A quarter is 0.25 dollars so the ratio between 1 dollar and a quarter is 1/0.25(it means the dollar and the quarter which is 0.25 dollars) and that equals =4

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The probability that a lab specimen contains high levels of contamination is 0.10. Five samples are checked, and the samples are

raketka [301]

Answer:

(a) 0.59049 (b) 0.32805 (c) 0.40951

Step-by-step explanation:

Let's define

$A_{i}$ : the lab specimen number i contains high levels of contamination for i = 1, 2, 3, 4, 5, so,

$P(A_{i})=0.1$ for i = 1, 2, 3, 4, 5

The complement for $A_{i}$ is given by

$A_{i}^{$c$}$ : the lab specimen number i does not contains high levels of contamination for i = 1, 2, 3, 4, 5, so

P( $A_{i}^{$c$}$ )=0.9 for i = 1, 2, 3, 4, 5

(a) The probability that none contain high levels of contamination is given by

P( $A_{1}^{$c$}$ ∩ $A_{2}^{$c$}$ ∩ $A_{3}^{$c$}$ ∩ $A_{4}^{$c$}$ ∩ $A_{5}^{$c$}$ )= $(0.9)^{5}$ =0.59049 because we have independent events.

(b) The probability that exactly one contains high levels of contamination is given by

P( $A_{1}$ ∩ $A_{2}^{$c$}$ ∩ $A_{3}^{$c$}$ ∩ $A_{4}^{$c$}$ ∩ $A_{5}^{$c$}$ )+P( $A_{1}^{$c$}$ ∩ $A_{2}$ ∩ $A_{3}^{$c$}$ ∩ $A_{4}^{$c$}$ ∩ $A_{5}^{$c$}$ )+P( $A_{1}^{$c$}$ ∩ $A_{2}^{$c$}$ ∩ $A_{3}$ ∩ $A_{4}^{$c$}$ ∩ $A_{5}^{$c$}$ )+P( $A_{1}^{$c$}$ ∩ $A_{2}^{$c$}$ ∩ $A_{3}^{$c$}$ ∩ $A_{4}$ ∩ $A_{5}^{$c$}$ )+P( $A_{1}^{$c$}$ ∩ $A_{2}^{$c$}$ ∩ $A_{3}^{$c$}$ ∩ $A_{4}^{$c$}$ ∩ $A_{5}$ )=5×(0.1)× $(0.9)^{4}$ =0.32805

because we have independent events.

P( $A_{1}$ ∪ $A_{2}$ ∪ $A_{3}$ ∪ $A_{4}$ ∪ $A_{5}$ )=1-P( $A_{1}^{$c$}$ ∩ $A_{2}^{$c$}$ ∩ $A_{3}^{$c$}$ ∩ $A_{4}^{$c$}$ ∩ $A_{5}^{$c$}$ )=1-0.59049=0.40951

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2 years ago

What is the mean absolute deviation for 2,9, 1, 7, 8, 9

Phantasy [73]

Answer:

3 :)

Step-by-step explanation:

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2 years ago

the bookstore has 6 shelves of books about animals. there are 30 books on each shelf. how many books about animals does the book

Vikentia [17]

It should be 5 on each shelf.

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3 years ago

What is the additive inverse

Alenkasestr [34]

Answer:

-3

Step-by-step explanation:

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2 years ago

The product of 3 and a number is the same as 10 less than twice the number

kicyunya [14]

Hello!

First, create a variable representing the number. In this case, let's just say n = the number.

Now, solve this by side. You can tell which is on which side of the equation by the words "is the same as". Anything before that is on one side, and anything after is on the other.

Left side: "The product of 3 and a number"

Here, we get our first side. The product means when two numbers are multiplied together. Thus, the product of 3 and a number would be 3 and a number multiplied together, or 3n.

Right side: "10 less than twice the number"

Finally, our last side. What we want to do first is "twice the number". This is because this happens first, even though the words are ordered differently. Twice the number means the number doubled, or *2. Therefore, multiply 2 and n together, to get 2n.

Next, add the "10 less" part. To do this, subtract 10 from 2n. We then get 2n - 10.

Finally, put the equation together. Take 3n and 2n-10, and create an equation. We get 3n = 2n-10.

Therefore, we have our final answer, or 3n = 2n - 10.

Hope this helps!

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2 years ago

What is the Order of Magnitude of the number of pennies equivalent to a quarter?​

What is the Order of Magnitude of the number of pennies equivalent to a quarter?