16.7%
There are 6 ways we can roll doubles out of a possible 36 rolls (6 x 6), for a probability of 6/36, or 1/6, on any roll of two fair dice. So you have a 16.7% probability of rolling doubles with 2 fair six-sided dice.
To obtain x, we can sum the angles < AQB and < BQC
=> 5X + 8X - 24
=> 13X -24
we are also told that that the sum of their angles is 80
13X - 24 = 80
13 X = 24 + 80
13X = 104
Divide both sides by 13
x = 104/13
x = 8
Answer: The number of days would be 7 days.
Step-by-step explanation:
Since we have given that
Variance = 30°
Standard deviation = √30 = 5.47
Mean = 4°
At 95% confidence, z = 1.96
So, number of days that the researcher select to measure the temperature would be

Hence, the number of days would be 7 days.