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3 years ago

Can anyone answer this for me please?

Mathematics

1 answer:

uysha [10]3 years ago

5 0

Answer:

The 2nd and last options.

Step-by-step explanation:

By looking at the table we know that the 2nd one is an answer for sure.

Also by looking at the table we know that the 3rd and 4th are not true.

put in -1/2 in the function to see if you get -2

1/2(-1/2)+3/2

-1/4+3/2

-1/4+6/4

5/4

So The first one doesn't work either.

Now the last one:

1/2(4)+3/2

4/2+3/2

7/2

So the last one works too.

Hope this helps :)

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3 years ago

Read 2 more answers

Three fair dice are rolled, one red, one green and one blue. What is the probability that the upturned faces of the three dice a

r-ruslan [8.4K]

Answer: $\dfrac{5}{9}$

Step-by-step explanation:

When we throw a die , Total outcomes =6

When we throw 3 dice , Total outcomes = 6 x 6 x 6 = 216 [by fundamental counting principle]

Given : Three fair dice are rolled, one red, one green and one blue.

Favorable outcomes : When the upturned faces of the three dice are all of different numbers i.e. no repetition of numbers allowed

By Permutations , the number of favorable outcomes = $^6P_3=\dfrac{6!}{(6-3)!}=\dfrac{6!}{3!}=6\times5\times4=120$

The probability that the upturned faces of the three dice are all of different numbers = $\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}$

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The probability that the upturned faces of the three dice are all of different numbers is $\dfrac{5}{9}$ .

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3 years ago

Which of these is NOT an integer

Tema [17]

Hi there!

»»————-　★　————-««

I believe your answer is:

Option A

»»————-　★　————-««

Here’s why:

⸻⸻⸻⸻

$\boxed{\text{Option A:}}\\\\3^{-5}\\\\\rightarrow \frac{1}{3^5}\\\\\rightarrow \frac{1}{243}\\\\\ \text{This is \textbf{NOT} an integer.}}$

⸻⸻⸻⸻

$\boxed{\text{Option B:}}\\\\-3^5\\\\\rightarrow -3 * -3 * -3 * -3 * -3 \\\\\rightarrow \boxed{-243}\\\\\\\text{This \textbf{IS} an integer.}$

⸻⸻⸻⸻

$\boxed{\text{Option C:}}\\\\\frac{1}{3}^{-5} \\\\\rightarrow \frac{1}{(\frac{1}{3})^5}\\\\\rightarrow \frac{1}{\frac{1}{243} }\\\\\rightarrow \boxed{243}\\\\\\\text{This \textbf{IS} an integer.}$

⸻⸻⸻⸻

$\text{Option \textbf{A} does not simplify into an integer.}$

⸻⸻⸻⸻

»»————-　★　————-««

Hope this helps you. I apologize if it’s incorrect.

7 0

3 years ago

Can anyone answer this for me please?​

Can anyone answer this for me please?