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gladu [14]
3 years ago
8

A. Use the roster method to write the given set. You may need to consult a reference, such as the Internet or an encyclopedia. (

Enter your answers as a comma-separated list. Enter EMPTY for the empty set.) The set of whole numbers less than 9.
B. Use set-builder notation to write the following set.
{1, 4, 9, 16, 25, 36, 49, 64, 81}
{x | x is a positive square number less than or equal to 81}
{x | x is a positive square number less than or equal to 100}
{x | x is a positive number less than or equal to 9}
{x | x is a positive square number greater than or equal to 1}
none of these
C, State whether the given pair of sets are equal, equivalent, both, or neither.
{1, 2, 9}; {I, II, IX}
A. equal
B. equivalent
C. both
D. neither
Mathematics
1 answer:
jarptica [38.1K]3 years ago
7 0

Answer:

Following are the responses to the given question:

Step-by-step explanation:

For point A:

\{0,1,2,3,4,5,6,7,8\}

For point B:

{x | x is the positive square number less than or equal to 81}

For point C:

All given sets were equal and equal, that since elements and the element no. are identical.

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Two events A and B are independent with Upper P left-parenthesis Upper A right-parenthesis equals Upper P left-parenthesis Upper
soldi70 [24.7K]

Answer:

The value of P (A ∩ B) is 0.25.

Step-by-step explanation:

Independent events are those events that do not effect the occurrence of each other, i.e. if event <em>X </em>and <em>Y</em> are independent then the occurrence of <em>X</em> and <em>Y </em>are not influenced by each other.

For independent events <em>X</em> and <em>Y</em> the joint probability of <em>X</em> and <em>Y</em> is:

P (X\cap Y)=P(X)\times P(Y)

It is provided that events <em>A</em> and <em>B </em>are independent of each other.

And P (A) = P (B) = 0.50.

Compute the value of P (A ∩ B) as follows:

P (A\cap B)=P(A)\times P(B) \\= 0.50\times0.50\\=0.25

Thus, the value of P (A ∩ B) is 0.25.

3 0
3 years ago
A hemisphere fake stone made of clay has a diameter of 16 inches. The density of clay is 0.0035 pounds per cubic inch. The clay
Rufina [12.5K]

Answer:

$137.82

Step-by-step explanation:

The volume of a hemisphere stone is given by the volume of a half-sphere:

Volume = (2/3) * pi * radius^3

If the diameter is 16 inches, the radius is 16/2 = 8 inches, so the volume is:

Volume = (2/3) * pi * 8^3 = 1072.33 in3

We need a total of 8 stones, so the total volume is:

Total Volume = 8 * 1072.33 = 8578.64 in3

The density of clay is 0.0035 pounds per cubic inch, so the total weight of the 8 stones is:

Weight = Total Volume * density = 8578.63 * 0.0035 = 30.0252 pounds

Finally, if the price of each pound of clay if $4,59, the final price is:

Price = 30.0252 * 4.59 = $137.82

8 0
3 years ago
What is the equation in point slope form of the line that passes the points (2,-3) and(-5,8)
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Answer:

y+3=-11/7(x-2)

Step-by-step explanation:

y-y1=m(x-x1)

m=(y2-y1)/(x2-x1)

m=(8-(-3))/(-5-2)

m=(8+3)/(-7)

m=11/-7

m=-11/7

y-(-3)=-11/7(x-2)

y+3=-11/7(x-2)

4 0
2 years ago
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