Answer:
The polynomial will be 
.
Step-by-step explanation:
The three degree polynomial function f(x) has zeros at x = 0 and at x = 4 having multiplicity 2.
Therefore, (x - 0) and (x - 4)² will be factors of the polynomial f(x).
Hence, the polynomial will be f(x) = Ax(x - 4)² .............. (1), where A is any constant that we have to evaluate.
Now, given that f(5) = 20
So, from the equation (1) we have
20 = A(5)(5 - 2)²
⇒ 
Therefore, the polynomial will be (Answer)
This can either be done by multiplying with 125% (1.25) or, by dividing by dividing on 4 and adding a part.
This is the easiest way, tho.
60*1.25=75
The correct answer is 75 mph.
Answer:
only red = 1/12, only water proof = 1/12 , only cool = nil we assume nil for toys with three collections( cool, red, waterproof) as it was not stated.
11/6 are neither red, water proof and cool.
Step-by-step explanation:
outside the circles contain probability of neither red, cool and water proof. where the circles intersect shows probability of both either red and cool, water proof and cool and water proof and red etc. where all the circles intersect if for the three combinations which is nill. Attached is the diagram
Answer:
range of scores on final exam student get B is 90 to 100
Step-by-step explanation:
given data
Psychology 101 score = 66
average of his midterm = between 78 and 90
maximum = 100 points
to find out
range of scores on final exam student get B
solution
we consider here lowest marks need in final = x
so average at two marks should be
equation is
average marks = 0.5 × ( mid term marks + final marks ) .................1
put here value
78 = 0.5 × ( 66 + x )
x = 90
and
90 = 0.5 × ( 66 + x )
x = 114
so range 90 to 114
but maximum marks is 100 so
range of scores on final exam student get B is 90 to 100
Answer:
Every person in the US.
Step-by-step explanation:
- If a selection of logo artists are asked whether they like or not the new logo, their answer will represent only the opinion of a specific group of artists of the US, and this is <u>not the objective of the beverage company</u>,who wants to know if people from the United States like their logo.
- If 3,800 children age 5-15 are asked whether they like the logo or not, their opinion will only represent the opinion of some children in the US, whose age is between 5 and 15, and again, this is <u>not the objective of the beverage company</u>,who wants to know if people from the United States like their logo.
- Finally, the population (which by definition includes all the elements under study, in this case, all the people in the US) will be defined by all people in the US: if the company wants to know if people from the US like their new logo, they must take into account that, the population under study is all people, and not a biased selection of it.
