Answer:
2.9 mi
Step-by-step explanation:
The time difference t between 12.30pm and 3.30pm is 3h.
Let the distance to Marat's house be s.
The equation to calculate velocity v is given by:
v = distance / time.
Now you can write an equation for the time difference t and use the two velocities and the 90 min(= 1.5h) she stays:
3 = s/12 + 1.5 + s/2.3
Solve this equation for s:
(1/12 + 10/23)* s = 1.5
s = 2.9
A, D and E are correct
given ( x - 4 ) is a factor then x = 4 is a root
the remainder on division by (x - 4 ) = 0 as indicated by the 0 on the right side of the quotient
(x - 4 ) is a factor of 3x² - 13x + 4 → A
the number 4is a root of f(x) = 3x² - 13x + 4 → D ( explained above )
thus 3x² - 13x + 4 ÷ (x - 4 ) = 3x - 1 → E
the quotient line 3 - 1 0
3 and - 1 are the coefficients of the linear quotient and 0 is the remainder
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
To check if a relation is a function, given a mapping diagram of the relation, use the following criterion: If each input has only one line connected to it, then the outputs are a function of the inputs.
Answer:
-50
Step-by-step explanation:
b-5 
b-5 = -45 ( collect like terms)
b = -45 + -5
b = -45 -5 b = -50
