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UNO [17]
3 years ago
12

Find f(6) if f(x) = x^{2} ÷ 3 + x.

Mathematics
1 answer:
Papessa [141]3 years ago
8 0
6^2 is 36. / 3 makes 12. 12+6 is 18. final answer, most likely 18.
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You roll two six-sided dice. Match each event with its probability.
Nina [5.8K]

Answer:

A) probability the sum is 8 or 11= 4/21

B) probability that sum is 12 or less than 10 = 6/7

C) Probability that the sum is 3 or less than 3 = 2/21

D) Probability that the sum is 2 or 10 = 1/7

Step-by-step explanation:

Since we have the same probability of each event in each dice, the answer would be just to check the different outcomes, two dices, each with 1 to 6;

(1,1);(1,2);(1,3);(1,4);(1,5);(1,6);(2,2);(2,3);(2,4);(2,5);(2,6);(3,3);(3,4);(3,5);(3,6);(4,4);(4,5);(4,6);(5,5);(5,6);(6,6)

Thus, there are 21 possible outcomes.

Now,

A) probability that the sum is 8 or 11;

From the outcomes above, the number of outcomes that have a sum as 8 or 11 are;

(2,6) ; (3,5) ; (4,4) ; (5,6)

So,probability = 4/21

B) From the outcomes above, the number of outcomes that are 12 or less than 10 are;

(1,1);(1,2);(1,3);(1,4);(1,5);(1,6);(2,2);(2,3);(2,4);(2,5);(2,6);(3,3);(3,4);(3,5);(3,6);(4,4);(4,5);(6,6).

There are 18 possible outcomes.

So, probability that sum is 12 or less than 10 = 18/21 = 6/7

C)From the initial 21 outcomes, the number of outcomes that the sum is 3 or less than 3 are;(1,1);(1,2)

Thus,

Probability that the sum is 3 or less than 3 = 2/21

D) From the initial 21 outcomes, the number of outcomes that the sum is 2 or 10 are;

(1,1); (4,6) ; (5,5)

Thus,

Probability that the sum is 2 or 10 = 3/21 = 1/7

6 0
3 years ago
Use the following function rule to find f(9).<br> f(x) = x + 8<br> f(9) =
Studentka2010 [4]

Answer:

17

Step-by-step explanation:

f(x) = x + 8

f(9) = 9 + 8

= 17

8 0
2 years ago
What is the interquartile range of this data? 6 8 9
vladimir1956 [14]

Answer:

24

Step-by-step explanation:

Just subtract the first quartile form the third quartile.

third quartile - first quartile

32 - 8 = 24 IQR

FIRST quartile: 8

SECOND quartile: 20

THIRD quartile: 32

So the IQR is 24

Hope this helps :)

3 0
3 years ago
Read 2 more answers
suppose triangle ABC is reflected over the x-axis. If the distance between point A and the x-axis is 7, what is the distance bet
astra-53 [7]

Answer:

7

Step-by-step explanation:

If A is 7 units away from the x-axis then the x-axis is seven units away from A.

That's if I read the question right.

6 0
3 years ago
Find all solutions of the equation x^2 -2 x + 6 = 0 by completing the square. Express the soutions in the form a + b i:
Leto [7]
x^2-2x+6=0\\&#10;x^2-2x+1+5=0\\&#10;(x-1)^2=-5\\&#10;x-1=\sqrt{-5} \vee x-1=-\sqrt{-5}\\&#10;x=1+5i \vee x=1-5i\\
3 0
3 years ago
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