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:
Step-by-step explanation:87
Answer: 72 minutes
Step-by-step explanation:
Pipe A can empty the water in 180 minutes = (180/60) =3 hours
Pipe A does 1/ 3 of the job in 1 hour.
Pipe B can empty the water in 120 minutes = (120/60) = 2 hours.
Pipe B does 1/ 2 of thejob in 1 hour.
Together they will do:
1/ 3 + 1/ 2 = 5/6
Together, both pipes will do 5/ 6 of the job in one hour.
To get the total time to completely drain the water will be:
= 60 ÷ 5/6
= 60 × 6/5
= 12 × 6
= 72 minutes
It takes 72 minutes to empty the pool.
(x+5)•(x+4)•(x-2)•(x2+11x-9)•(x+26)
STEP
2
:
Equation at the end of step 2
(((x+5)•(x+4)•(x-2))•(x2+11x-9))•(x+26)
STEP
3
:
Equation at the end of step 3
((x+5)•(x+4)•(x-2)•(x2+11x-9))•(x+26)
STEP
4
:
Trying to factor by splitting the middle term
4.1 Factoring x2+11x-9
The first term is, x2 its coefficient is 1 .
The middle term is, +11x its coefficient is 11 .
The last term, "the constant", is -9
Step-1 : Multiply the coefficient of the first term by the constant 1 • -9 = -9
Step-2 : Find two factors of -9 whose sum equals the coefficient of the middle term, which is 11 .
-9 + 1 = -8
-3 + 3 = 0
-1 + 9 = 8
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Equation at the end of step
4
:
(x+5)•(x+4)•(x-2)•(x2+11x-9)•(x+26)
