Answer: 1/6
Step-by-step explanation:
Probability of getting heads or tail is:
P (H) = P(T) = 1/2
The probability of getting any number on the die is:
P (1) = P (2) = P(3) = P (4) = P (5) = P (6) = 1/6
The probability of getting a tail on the coin and a number less than 3 on the die is:
![P($Tails and a number less than 3$)=P($Tails$) \times P$(A number less than 3)$$\begin{aligned}&=\frac{1}{2} \times[P(1)+P(2)] \\&=\frac{1}{2} \times\left[\frac{1}{6}+\frac{1}{6}\right] \\&=\frac{1}{6}\end{aligned}$$](https://tex.z-dn.net/?f=P%28%24Tails%20and%20a%20number%20less%20than%203%24%29%3DP%28%24Tails%24%29%20%5Ctimes%20P%24%28A%20number%20less%20than%203%29%24%24%5Cbegin%7Baligned%7D%26%3D%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%5BP%281%29%2BP%282%29%5D%20%5C%5C%26%3D%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%5Cleft%5B%5Cfrac%7B1%7D%7B6%7D%2B%5Cfrac%7B1%7D%7B6%7D%5Cright%5D%20%5C%5C%26%3D%5Cfrac%7B1%7D%7B6%7D%5Cend%7Baligned%7D%24%24)
Therefore the required of getting tails and a number less than 3 is 1/6
Answer:
See below in bold.
Step-by-step explanation:
1. The 3 angles in a triangle add up to 180 degrees.
So x = 180 - (55 + 25)
= 180 - 80
= 100 degrees.
2. The 4 angles in a quadrilateral add up to 360 degrees,, so
3x + 127 + 54 + 119 = 360
3x + 300 = 360
3x = 360 - 300
3x = 60
x = 20 degrees.
3. Exterior angle
= 94 + 42
= 136 degrees.
Answer:
-11-x
Step-by-step explanation:
Adding to the variable (x+3) shifts the graph left 3 units, adding a constant shifts the graph upwards, in this case 4 units.
Answer:
52 times 12 = 624
Step-by-step explanation:
364 divided 7 = 52
52 times 12 = 624
