Answer:
x=5
Step-by-step explanation:
multipy both sides of the equation by 3 to remove the denominator becomes
2+5x=27
subtract 2 from both sides since it's positive
5x=25
divide 5 from both sides
x=5
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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
Answer:
r = 8
Step-by-step explanation:
The common ratio r of a geometric sequence is
r =
=
= ..... = 
Then
r =
=
= 8