Answer:
domain is {4,5,6,7,8}, range is the other numbers in brackets
Step-by-step explanation:
Given:
7 red candies
9 blue candies
12 pink candies
Condition:
Number of bags that has equal number of candies.
We can do 7 bags with 1 colored candy each. There will be an excess of 2 blue candies and 5 pink candies.
We can do 4 bags with 1 red candy, 2 blue candies, 3 pink candies. There will be an excess of 3 red candies and 1 blue candy.
We can do 3 bags with 2 red candies, 3 blue candies, 4 pink candies. There will be an excess of 1 red candy.
Answer:
Option 2) Null hypothesis: p = 0.078
, Alternate hypothesis: p > 0.078
Step-by-step explanation:
We are given the following in the question:
According to the National Center of Health Statistics, about 7.8% of all babies born in the U.S. are categorized as low birth weight.
Sample size, n = 1200
p = 7.8% = 0.078
We have to carry a hypothesis test whether national percentage is higher than 7.8% or not.
Thus, we can design the null and the alternate hypothesis

Thus, the correct answer is:
Option 2) Null hypothesis: p = 0.078
, Alternate hypothesis: p > 0.078
We convert degrees to radian by multiplying by (
)
= (345) × (
)
= (
) × (π)
= 1.9166π
= 1.9166 × 3.14
= 6.018 rad
≈ 6.02 rad