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labwork [276]
4 years ago
7

Place value 100unite and ones only

Mathematics
1 answer:
maks197457 [2]4 years ago
5 0
10 units is 100 because 1 unit equals 10 ones. 100 ones is 100 because one one is one. I don't know if this answers your question I didn't really get what you were asking.
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The difference of the squares of two positive consecutive even integers is 4444. find the integers. use the fact​ that, if x rep
Sergio [31]

Remember that the formula for the difference of squares is a^2 - b^2, where a and b are expressions or values.


In this case, we have two expressions, x and (x + 2). We are also given that their difference of squares is 4444. Using the formula, we can say:

(x + 2)^2 - x^2 = 4444


Now, we can solve for x:

(x + 2)^2 - x^2 = 4444

(x^2 + 4x + 4) - x^2 = 4444

4x + 4 = 4444

4x = 4440

x = 1110


We now know that the first number is 1110. To find the second number, we must add 2 to the first number, which means that the second number, represented by (x + 2), is equal to 1112.


Our two numbers are 1110 and 1112.

7 0
3 years ago
Alice searches for her term paper in her filing cabinet, which has several drawers. She knows thatshe left her term paper in dra
katen-ka-za [31]

You made a mistake with the probability p_{j}, which should be p_{i} in the last expression, so to be clear I will state the expression again.

So we want to solve the following:

Conditioned on this event, show that the probability that her paper is in drawer j, is given by:

(1) \frac{p_{j} }{1-d_{i}p_{i}  } , if j \neq i, and

(2) \frac{p_{i} (1-d_{i} )}{1-d_{i}p_{i}  } , if j = i.

so we can say:

A is the event that you search drawer i and find nothing,

B is the event that you search drawer i and find the paper,

C_{k}  is the event that the paper is in drawer k, k = 1, ..., n.

this gives us:

P(B) = P(B \cap C_{i} ) = P(C_{i})P(B | C_{i} ) = d_{i} p_{i}

P(A) = 1 - P(B) = 1 - d_{i} p_{i}

Solution to Part (1):

if j \neq i, then P(A \cap C_{j} ) = P(C_{j} ),

this means that

P(C_{j} |A) = \frac{P(A \cap C_{j})}{P(A)}  = \frac{P(C_{j} )}{P(A)}  = \frac{p_{j} }{1-d_{i}p_{i}  }

as needed so part one is solved.

Solution to Part(2):

so we have now that if j = i, we get that:

P(C_{j}|A ) = \frac{P(A \cap C_{j})}{P(A)}

remember that:

P(A|C_{j} ) = \frac{P(A \cap C_{j})}{P(C_{j})}

this implies that:

P(A \cap C_{j}) = P(C_{j}) \cdot P(A|C_{j}) = p_{i} (1-d_{i} )

so we just need to combine the above relations to get:

P(C_{j}|A) = \frac{p_{i} (1-d_{i} )}{1-d_{i}p_{i}  }

as needed so part two is solved.

8 0
4 years ago
Determine the intercepts of the line.<br> y = -2x-21<br> X-intercept:<br> y-intercept:
vfiekz [6]
Ummm eeee i dont knowwwe
4 0
3 years ago
Of the pets in the pet show, 10/12 are cats. 6/10 of the cats are calico cats. What fraction of the cats are calico cats?
Lera25 [3.4K]

Answer:

6/10, simplified 3/5

Step-by-step explanation:

kinda tricky, but the fraction is stated right out.

8 0
3 years ago
Read 2 more answers
Find the distance between the points<br><br> (1,8) and (-3,8)
Vilka [71]

Answer:

<h2>4 units</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

d =  \sqrt{ ({x1 - x2})^{2} +  ({y1 - y2})^{2}  } \\

From the question we have

d =  \sqrt{ {(1 -  - 3)}^{2} +  ({8 - 8})^{2}  }  \\  =  \sqrt{ ({1 + 3})^{2} } \\  =  \sqrt{ {4}^{2} }  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  =  \sqrt{16}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:

We have the final answer as

<h3>4 units</h3>

Hope this helps you

6 0
3 years ago
Read 2 more answers
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