Answer:
True statements:
A. The relative frequency of rolling 4 is 
E. The experimental probability of rolling 1 is less than the experimental probability of rolling 6.
Step-by-step explanation:
Nathan made 11 + 16 + 14 + 20 + 12 + 17 = 90 rolls altogether. Consider all options:
A. The relative frequency of rolling 4 is

This option is true.
B. The experimental probability of rolling 3 is
The theoretical probability of rolling 3 is
therefore, the experimental probability of rolling 3 is less than the theoretical probability. This option is false.
C. The experimental probability of rolling 2 is
and the theoretical probability of rolling 2 is
The experimental probability of rolling 2 is smaller than the theoretical probability of rolling 2. Option C is false.
D. The relative frequency of rolling 5 is
This option is false.
E. The experimental probability of rolling 1 is
and the experimental probability of rolling 6 is
Since
then the experimental probability of rolling 1 is less than the experimental probability of rolling 6. This option is true.
F. The theoretical probability of rolling 1 is the same as the theoretical probability of rolling 6. This option is false.
To move a graph c units to the right, minus c from every x
minused 5 from every x
move f(x) to the right 2 units to get g(x)
Answer:
2p^2−5q+7
Step-by-step explanation:
Let's simplify step-by-step.
5−p2−4q−(−2+q−3p2)
Distribute the Negative Sign:
=5−p2−4q+−1(−2+q−3p2)
=5+−p2+−4q+(−1)(−2)+−1q+−1(−3p2)
=5+−p2+−4q+2+−q+3p2
Combine Like Terms:
=5+−p2+−4q+2+−q+3p2
=(−p2+3p2)+(−4q+−q)+(5+2)
=2p2+−5q+7
Answer:
=2p^2−5q+7