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Daniel [21]
3 years ago
7

Anita works at a local news station and needs to decide which news story to report first. Of the news stories, 3 are local, 4 ar

e international, and 5 national. The stories are equally important so anita randomly orders the stories. What is the probability that the first story is a national story. Give your answer as a fraction
Mathematics
1 answer:
Alexxx [7]3 years ago
7 0
Answer: 5/12

In order to solve this, you would add up all of the news stories she has and then put the number of national stories on top of the total news stories to give you 5/12. (There’s a total of 12 news stories and 5 of them are national.)
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Prove algebraically that (m + 2)2 – m 2 – 12 is always a multiple of 4
Julli [10]

Answer:

(m + 2)^{2} - m^{2}  - 12 = 4(m - 2)

Step-by-step explanation:

Step 1:

Write the expression

(m+2)^{2} - m^{2}  - 12

Step 2: Expand (m + 2)^{2}

(m+2)^{2} - m^{2} - 12\\(m+2)(m+2) - m^{2}  - 12\\m^{2} + 2m + 2m + 4 - m^{2}  - 12

Step 3: Collect similar terms

m^{2}  - m^{2}  + 4m + 4 - 12\\4m - 8

Step 4: Factor 4 out of the expression to prove that the expression is a multiple of 4.

Therefore\\4m - 8 = 4(m - 2)\\Hence,\\(m+2)^{2}  - m^{2} -  12 is a multiply of 4 because the expression is equal to 4(m-2)

3 0
3 years ago
Find the LCD. Do not combine fractions.<br> 4<br> 1<br> X-9' x2 - 18x + 81<br> LCD =
olchik [2.2K]

Answer:

(x-9)^2

Step-by-step explanation:

8 0
2 years ago
What is the domain of the given function?
EleoNora [17]

Answer:

domain is equal to x. therefore, the domain is all of the x values. x = -6,-1,0,3

Step-by-step explanation:

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The difference of a number x and 4 is 3
Kruka [31]
"the difference of a number x and 4": x - 4
"is": =
"3": 3

Combine the terms so that it looks like the sentence numerically:

"the difference of a number x and 4 is 3": x - 3 = 4

x - 3 = 4 is your answer.

To solve for x:

Note the equal sign, what you do to one side, you do to the other. Isolate the variable, x. Add 3 to both sides.

x - 3 = 4

x -3 (-3) = 4 (-3)

x = 4 - 3

x = 1

1 is your answer for x.

~

~
6 0
3 years ago
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Sladkaya [172]

Answer:

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Step-by-step explanation:

96 =16 *6

Break these down, since neither 16 nor 6 are prime

    = 4*4 * 2*3

4 in not prime, but 2 and 3 are prime

   = 2*2  * 2*2   * 2*3

All of these are prime

7 0
3 years ago
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