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frutty [35]
4 years ago
8

The sum of a number w and 3 is less than or equal to ten.

Mathematics
1 answer:
Zinaida [17]4 years ago
8 0
<h2>Answer:</h2>

In this problem we must translate English words into Algebraic Expressions. So we have the following English words:

<em>The sum of a number w and 3 is less than or equal to ten</em>

<em />

So let's do that using two steps:

<h3>1. The sum of a number w and 3:</h3>

Here we have two numbers w and 3. So we must makes the sum these numbers, therefore:

w+3

<h3>2. The sum of a number w and 3 is less than or equal to ten:</h3>

The symbol for the English words less than or equal to is ≤ hence we can write these words as:

\boxed{w+3\leq 10}

As you can see, the algebraic expression is an inequality.

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If we inspect photocopy paper by randomly drawing 5 sheets without replacement from every pack of 500, what is the probability o
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Answer:

98.01% probability of getting 5 clean sheets

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this problem, the order that the sheets are chosen is not important, so we use the combinations formula to solve this problem.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

0.4% of the sheets contain spots

Of 500, that is 0.004*500 = 2.

What is the probability of getting 5 clean sheets although 0.4% of the sheets contain spots?

Desired outcomes

2 are defective, so 5 sheets from a set of 500 - 2 = 498.

D = C_{498,5} = \frac{498!}{5!493!} = 250160254344

Total outcomes

5 sheets from a set of 500.

T = C_{500,5} = \frac{500!}{5!495!} = 255244687600

Probability:

P = \frac{D}{T} = \frac{250160254344}{255244687600} = 0.9801

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7 0
4 years ago
The equation of a circle is x^2 + y^2= 42.25 Find the radius of the circle.
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radius = 6.5

Step-by-step explanation:

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with r² = 42.25 ( take the square root of both sides )

r = \sqrt{42.25} = 6.5

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3 years ago
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20/100 =x/6  

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