Answer:
A) The relative frequencies in the table are reasonably close; C) The relative frequency of rolling an even number is 0.51.
Step-by-step explanation:
The relative frequencies given are at most 0.02 apart. This means they are reasonably close.
The theoretical probability for each outcome would be 1/4, or 0.25; this means the theoretical probability of rolling an even number would be 0.50, not 0.51.
However, the relative frequency of rolling an even number would be 0.24+0.27 = 0.51.
Since the relative frequencies are reasonably close, the number cube is likely to be fair.
A. -9.2x + 9.3
1. Distribute -0.6 and -3 to the brackets (by multiplying )
2. Put together the "like terms"
3. Add all together
Answer:
Option C
Step-by-step explanation:
By the property of a rectangle,
"All interior angles of a rectangle measure 90°"
Therefore, m∠ABC = 90°
By applying cosine rule in the right triangle ABC,
cos(∠CAB) = 
cos(25°) = 
AC = 
AC = 
AC = 19.86
Therefore, Option C will be the answer.
Answer:
y = (5/9)(x -2)(x +6)
Step-by-step explanation:
When a polynomial has a zero (p, 0), it has a factor (x -p).
The given zeros mean the factored form of the equation will be ...
y = a(x -2)(x +6)
The given point will mean the value of 'a' will satisfy ...
(x, y) = (3, 5)
5 = a(3 -2)(3 +6) = 9a
a = 5/9 . . . . . . . . . . . . . . divide by the coefficient of 'a'
The factored equation is ...
y = (5/9)(x -2)(x +6)