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3 years ago

6(3n+1)-3(-1+2n)=n+2

1 answer:

7 0

First, you want to distribute the 6 and the -3. This turns you equation into 18n+6+3-6n=n+2. Next, put all the n's on one side and numbers on the other. 18n-6n-n=2-6-3. Then, combine. 11n=-7 -> n=-7/11. Hope this helps!

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If you roll two six-faced dice together, you will get 36 possible outcomes. 4 pts 1. List all possible outcomes of the experimen

bezimeni [28]

Given:

Two dice are rolled together.

Total number of possible outcomes.

To find:

The list of total possible outcomes.

The probability of getting a sum of 11 in these outcomes.

The probability of getting a sum less than or equal to 4.

The probability of getting a sum of 13 or more.

Solution:

If two dice are rolled together, then the total number of possible outcomes is 36 and list of total possible outcomes is

S = {(1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)}

Sum of 11 in these outcomes = {(5,6),(6,5),(6,6)} = 3

The probability of getting a sum of 11 in these outcomes is

$P(\text{sum=11})=\dfrac{3}{36}$

$P(\text{sum=11})=\dfrac{1}{12}$

Therefore, the probability of getting a sum of 11 in these outcomes is $\dfrac{1}{12}$ .

Sum less than or equal to 4 = {(1,1),(1,2),(1,3),(2,1),(2,2),(3,1)} = 6

The probability of getting a sum less than or equal to 4 is

$P({sum\leq 4})=\dfrac{6}{36}$

$P({sum\leq 4})=\dfrac{1}{6}$

Therefore, the probability of getting a sum less than or equal to 4 is $\dfrac{1}{6}$ .

Sum of 13 or more = empty set because maximum sum is 12.

The probability of getting a sum of 13 or more is

$P(sum\geq 13)=\dfrac{0}{36}$

$P({sum\geq 13})=0$

Therefore, the probability of getting a sum of 13 or more is 0.

8 0

2 years ago

You win an online auction for a toy. Your winning bid of $35 is 70% of your maximum bid. How much more were you willing to pay f

luda_lava [24]

35 = 70%

If you divide 35 by 7, you will find what 10% of your maximum bid is.
35/7 = 5
5 = 10%

Multiply your value of 10% by 10 to get 100%.
5*10 = 50

Your maximum bid would be $50. You actually spend $35. To find the amount more you were willing to pay, subtract the two values.
$50-$35 = $15

Answer: You were willing to pay 15 more dollars than you did.

5 0

3 years ago

Please help!<br> thankjs

olga_2 [115]

Answer:

20th: 100 nth: 5

Step-by-step explanation:

the table is multiplying by 5

so 5 × 20 = 100

8 0

3 years ago

Solve the following equation.-3 = x/5

Umnica [9.8K]

I hope this helps you

x/5= -3

x= -3.5

x= -15

7 0

3 years ago

What is rounding for math

Sedaia [141]

Answer:

Step-by-step explanation:

Rounding means making a number simpler but keeping its value close to what it was. The result is less accurate, but easier to use. Example: 73 rounded to the nearest ten is 70, because 73 is closer to 70 than to 80. But 76 goes up to 80. There are many ways to round.

5 0

2 years ago

Read 2 more answers