Answer:
1/2
Step-by-step explanation:
Simple probability is a ratio of the number of ways the thing we want to happen can to the total possible outcomes.
(For example, we flip a coin and want heads, but it can land on heads or tails. Our probability of getting heads is 1/2, one way to get heads over the 2 possible outcomes)
So for this problem, there's 20 possible things that CAN happen (3 + 7 + 10) and 10 ways we get what we want (a green marble).
Our probability of getting a green marble is 
, which simplifies to 
Answer:
B.
I hope it will be useful.
Hint:
Since its an isosceles right angled triangle! (Apply the properties)
Or, you can use Pythagoras theorem.
(2x^2=9 v.i.z., on rationalizing 1.5*√2)
Answer:
A. reflection across the y-axiss
Step-by-step explanation:
Given:
The locations of the two points are (-4 , 8) and (-4 , -8).
To find:
The relation between two points.
From the given points (-4, 8) and (-4 , -8), it is clear that the y-coordinates are same but the sign of x-coordinates are opposite.
If a figure is reflected across the y-axis, then we change the sign of x-coordinate and the y-coordinates remain same, i.e.,
→
For (-4,8)
→ 
So, it is reflection across the y-axis.
Therefore, the correct option is A.
The mode is 44
The range is 3
The median is 44
The mean is 44
Answer:
7
Step-by-step explanation:
f(x) = 2x^3 + x^2 − 3x + 1
f'(x) = 6x^2 + 2x − 3
The slope at -2:
f'(-2) = 6(-2)^2 + 2(-2) − 3
f'(-2) = 24 + -4 − 3
f'(-2) = 17
-----
The slope at 0:
f'(0) = 6(0)^2 + 2(0) − 3
f'(0) = − 3
The average rate of change is (17+(-3))/2, or 14/2, or 7
