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Lerok [7]
4 years ago
7

number between 1 and 10, inclusive, is randomly chosen. Events A and B are defined as follows. A: {The number is even} B: {The n

umber is less than 7} Identify the sample points in the event A ∪ B.
Mathematics
1 answer:
Rufina [12.5K]4 years ago
6 0

Answer:

A U B = {1,2,3,4,5,6,8}

Step-by-step explanation:

Let's define the sets.

Let ¢ = universal set ( Contains all the elements in the set)

¢ = {1, 2, 3, 4, 5, 6, 7, 8, 9 , 10}

A= {2, 4, 6, 8}

B= {1,2,3,4,5,6}

Therefore: A U B (A union B):

A U B = {1, 2, 3, 4, 5, 6, 8}

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the legs of a right triangle are 10 centimeters and 24 centimeters long. what is the length of the hypotenuse?
igomit [66]
Pytharorean therum...can only be used on right triangles
a^2 + b^2 = c^2...a and b r ur legs and c is ur hypotenuse
10^2 + 24^2 = c^2
100 + 576 = c^2
676 = c^2
sqrt 676 = c
26 = c <== ur hypotenuse is 26 cm
6 0
3 years ago
Read 2 more answers
41/50 is closer to 9/11 or 10/11 and explain
Stolb23 [73]
<span>Given number is 41/50,
Now, let’s find which one is closer to the given choices:
=> 9/11
=> 10/11
Notice that the given number and given choices are fraction numbers. In order know which one is closer to the given number, we need to convert these numbers into a decimal.
Note, that in converting a fraction number to a decimal is we need to divide our numerator by our denominator to get the answer.
=> 41/50
=> 0.82
The value of 41/50 is 0.82. Now, let’s find the value of the given choices.
=> 9/11
=> 0.818 or 0.82

=> 10/11
=>0.909 or 0.91

Thus, the correct answer is 9/11 is equals to 41/50.</span>



3 0
3 years ago
An element has 2 isotopes: 6X at 7.59% and 7X at 92.41%.<br> What is the average atomic mass?
crimeas [40]

The average atomic mass is 6.92X

How do we compute the average atomic mass?

In a bid to  calculate the average atomic mass, we  multiply the fraction of each isotope by the mass number , then add them together.

This is more like weighted average, as shown below:

average atomic mass=(mass number of first isotope*fraction)+(mass number of second isotope*fraction)

average atomic mass=(6X*7.59%)+(7X*92.41%)

average atomic mass= 6.92X

Find out more about average atomic mass on:brainly.com/question/13299770

#SPJ1

5 0
2 years ago
Beth has 250 comic books in her collection. She begins to sell 20 of them each week. Martin has 80 comic books in his collection
guapka [62]

Answer:

250 - 20 < 80 + 15x

Step-by-step explanation:

Given that

Beth has 250 books and 20 books sold each week

While on the other hand, Martin has 80 books and sell 15 books each week

Let us assume each week be x

Now the equations are  

Beth         250 - 20x            

Martin       80 + 15 x

Now the inequality would be

250 - 20 < 80 + 15x

8 0
3 years ago
Which shows all the values of x that make the rational expression undefined? x = 6 x = 7 x = –6 or x = 6 x = –7 or x = 7
n200080 [17]
<h2>Explanation:</h2>

The rational expression is given by:

E=\frac{2x^2-72}{5x^2-245} \\ \\ Factor \ out: \\ \\  E=\frac{2(x^2-36)}{5(x^2-49)} \\ \\ E=\frac{2(x-6)(x+36)}{5(x-7)(x+7)} : \ \ \ \ a^2-b^2=(a-b)(a+b)

The denominator can't be zero, therefore:

(x-7)(x+7)\neq 0 \\ \\ \\ Thus: \\ \\ \boxed{x\neq 7 \ and x \neq -7}

Finally,<em> the values of x that make the rational expression undefined are </em>

<em></em>

<em>x = 7 and x = -7</em>

4 0
3 years ago
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