Answer:
x = -11
Step-by-step explanation:
I'm going to assume 80 and 60 are vertical angles so:
x + 51 + 80 + 60 = 180
x + 191 = 180
x = -11
Answer:
3 / 248
Step-by-step explanation:
Draw 1:
Favourable Outcome / Total number of possible outcomes
=> 4/32
=> 1/8 chance for first draw
Draw 2:
Favourable Outcome / Total number of possible outcomes
=> 3/31 Chance of green for second draw
To find the chance of getting 2 greens at consecutive draws = 1/8 x 3/31
= 3/248
We want to see which one of the given variables is a discrete variable, the correct option is "number of pockets inside jacket"
<h3>What is a discrete variable?</h3>
A discrete variable is a variable that can't take some values in a given interval where it is defined, in contrast to a continuous variable, which can take all the values of the interval.
For example, the "length of a jacket" would be considered a continuous variable, as the length can take any measure you want.
Similar for the weight and the size of the jacket pocket in square inches, these are continuous variables.
But the remaining option is not continue, the number of pockets inside the jacket can only be an integer, then there are values (like 1.3) that can't represent the number of pockets inside the jacket, thus, this is a discrete variable.
So the correct option is the first one: "number of pockets inside jacket"
If you want to learn more about discrete variables, you can read:
brainly.com/question/14486464
Step-by-step explanation:
since in a triangle each side must be shorter than the sum of the other 2 sides (otherwise the end points cannot connect, and there is no triangle), the necessary inequality condition must be
side < 1 + 2 = 3
so,
side < 3
for a lower limit let's go through the cases
1 < 2 + side (is always true)
2 < 1 + side
1 < side (side must be larger than 1)
and again
side < 1 + 2 = 3
side < 3
so the full restriction for the third side is
1 < side < 3