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denis-greek [22]
3 years ago
8

A group of college students are asked: "Including elementary, middle school, high school, trade school, and college, how many sc

hools have you attended?" The histogram shown represents their responses. Describe the shape of this distribution.

Mathematics
1 answer:
Firlakuza [10]3 years ago
6 0

Answer:

A.

Explanation:

1 college student had only been to 1 school and 1 college student had been to 17 schools.

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Find the x-coordinates of any relative extrema and inflection point(s) for the function f(x) = 6x(1/3) + 3x(4/3). You must justi
stealth61 [152]
Applying our power rule gets us our first derivative,

\rm f'(x)=6\frac13x^{-2/3}+3\cdot\frac43x^{1/3}

simplifying a little bit,

\rm f'(x)=2x^{-2/3}+4x^{1/3}

looking for critical points,

\rm 0=2x^{-2/3}+4x^{1/3}

We can apply more factoring.
I hope this next step isn't too confusing.
We want to factor out the smallest power of x from both terms,
and also the 2 from each.

0=2x^{-2/3}\left(1+2x\right)

When you divide x^(-2/3) out of x^(1/3),
it leaves you with x^(3/3) or simply x.

Then apply your Zero-Factor Property,

\rm 0=2x^{-2/3}\qquad\qquad\qquad 0=(1+2x)

and solve for x in each case to find your critical points.

Apply your First Derivative Test to further classify these points. You should end up finding that x=-1/2 is an relative extreme value, while x=0 is not.

Let's come back to this,

\rm f'(x)=2x^{-2/3}+4x^{1/3}

and take our second derivative.

\rm f''(x)=-\frac43x^{-5/3}+\frac43x^{-2/3}

Looking for inflection points,

\rm 0=-\frac43x^{-5/3}+\frac43x^{-2/3}

Again, pulling out the smaller power of x, and fractional part,

\rm 0=-\frac43x^{-5/3}\left(1-x\right)

And again, apply your Zero-Factor Property, setting each factor to zero and solving for x in each case. You should find that x=0 and x=1 are possible inflection points.

Applying your Second Derivative Test should verify that both points are in fact inflection points, locations where the function changes concavity.
8 0
3 years ago
F(x)=8x^4-3x^2+4x-1=0 ; 0 less than or equal to r less than or equal to 1
lukranit [14]

Answer:


Step-by-step explanation:


7 0
3 years ago
Explain why it is necessary to rename 4 1/2 if you subtract 3/4 from it
ra1l [238]
It is neccesary because you cannot subtract them without having a common denominator so you have to rename 4 1/2
4 0
2 years ago
Six friends equally share a bag of popcorn. The bag contains 9 cups of popcorn. How many cups of popcorn should each friend get?
nadya68 [22]
Six friend =6
A bag popcorn = 9
Share equally 9/6 = 1.5 bag for each person
7 0
3 years ago
Read 2 more answers
ILL GIVE BRAINLEST
lukranit [14]

Answer:

not a function

Step-by-step explanation:

3 - 2 = 1

2 - 5 = -3

5-6 = -1

6-7 = -1

4 0
3 years ago
Read 2 more answers
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