1. B
Adding a constant offset to the data does not change its variance. Scaling it, or applying a non-linear function will change the variance.
2. A
For a given number on the 3rd die, the first two dice can match it 11 ways, or have two numbers that match in 5 additional ways. Thus probability of 2 or more numbers being the same is 6*16/216 = 4/9.
Answer:
x is 10
Step-by-step explanation:
Form the diagram, you can see that UV is parallel to TS, this means that <UVS = < UTS
Given
<UVS = 5x + 38
<UTS = 12x - 28
Since the sum of opposite angle of a quadrilateral is 180 degrees, hence;
5x + 38 + 12x - 28 = 180
Collect like terms
5x + 12x - 28 + 38 = 180
17x + 10 = 180
17x = 180-1-
17x = 170
x = 170/17
x = 10
hence the value of x is 10
Answer:
Fourth option y = x²
Step-by-step explanation:
It is clear from the graph that parabola passes through origin, which is it's vertex and line of symmetry is y-axis.
So the equation of the parabola will be y = (x - 0)² + 0
This equation of the parabola is in the vertex form [ y = (x - h)² + k]
Therefore, equation of the parabola will be y = x²
This equation is true for the given values of x and y in the table.
For (-2, 4) ⇒ 4 = (-2)²
For (-1, 1) ⇒ 1 = (-1)²
Fourth option y = x² is the answer.
