Franklin rolls a pair of six-sided fair dice with sides numbered 1 through 6.

Answers

Answer 1
Answer: the probability of 1 and 6 side of the pair is 2/12 or for on dice 1/6
Answer 2
Answer: If he rolls it 6 times1 and 6 2/12 answer

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Using only five odd numbers, add them up so that the result is 32, the five odd numbers have to be whole numbers only.

Answers

This is not possible. If you add an odd number of odd numbers, you will get an odd number. If you add an even number of odd numbers, you will get an even number. 5 is an odd number, but 32 is an even number, so therefore it is not possible.

3±i write the quadratic equation with the given roots

Answers

By null factor Law factorised eqn=
(x-3+i)(x-3-i)
x^2-6x+10

One angle is five less than three times the size of another angle. Together they have a sum of 143 degrees. What are the sizes of each angle?

Answers

Let the size of one angle be x
so the size of another angle = 3x-5
sum of the two angles = 143 degrees
so, x + 3x - 5 = 143
or, 4x = 143+5
or, x = 149/4 = 37.25 degrees
other angle = 3*37.25-5 = 106.75 degrees
let the another angle be x ,then first angle will be 3*x-5
according to the question
x + 3*x-5 =143'
x+3*x=143+5
4*x=148
x=148/4
x=37'
another angle = x  =37'
first angle = 3x-5 = 3*37-5 = 111-5 = 106'

Alex saved $65. He has already spent $25. He plans to spend $8 on a movie ticket each month. Which any quality represents the number of movie tickets he can but?

Answers

Answer: 8m+25 ≤ 65

Step-by-step explanation:

Hi, to answer this question we have to write an inequality with the information given:

The product of the number of movie tickets he will buy per month (m) and the price of each ticket (8) plus the already spent money (25) must be less or equal to his savings (65).

Mathematically speaking:

8m+25 ≤ 65

Feel free to ask for more if needed or if you did not understand something.  

For all pairs of real numbers, S and T where S=4T-7, what does T equal?

Answers

s=4t-7

s+7=4t

(s+7)/(4)=t
s = 4t - 7
s + 7 = 4t - 7 + 7
s + 7 = 4t
   4        4
1/4s + 1 3/4 = t
s = 4(1/4s + 1 3/4) - 7
s = s + 7 - 7
s = s + 0
s = s


How many 5 digit numbers can be formed using the digits 0,1,2,3,4,5,6 if repetition of digits is not allowed

Answers

6!=6*5*4*3*2*1=720
Pretty sure this is correct