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3 years ago

Question 1 Determine the midpoint of the segment with endpoint (-9,3) and (7,-8). Question 2

Mathematics

2 answers:

PilotLPTM [1.2K]3 years ago

8 0

Answer:

m (-1, -2.5)

Step-by-step explanation:

x1=-9 x2=7 y1= 3 y2=-8

-9+ 7 3+ -8

m= ------------ , -----------

2 2

m= -2/2, -5/2

m (-1, -2.5)

mario62 [17]3 years ago

6 0

Answer:

(-1, -2.5)

Step-by-step explanation:

the midpoint of a segment is $(\frac{x1+x2}{2} ,\frac{y1+y2}{2}$ $)$ , given points (x1, y1) and (x2, y2)

$midpoint=(\frac{-9+7}{2}, \frac{3-8}{2} )$ $= (\frac{-2}{2}, \frac{-5}{2} ) = (-1, -2.5)$

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2 years ago

You are working on an assignment for your statistics class. You need to estimate the proportion of students at your college who

Ede4ka [16]

Answer:

B, Work with the math instructors to create a list of students currently taking a math class. Randomly select

Step-by-step explanation:

Let's think of each scenario at a time.

(A) We select 100 students enrolled in college randomly that should be fine because we are taking only students that can take classes. this rules out faculty members and any other persons but also there may be students that will never take any math course as part of their study plan, this is ruled out on that basis.

(B)if we take 100 students from the list of math instructor, that will ensure that we have taken students that are taking math class now, and math is part of their study plan, seems fine.

(C) visiting cafeteria randomly on multiple days will give us random persons that may not even be enrolled in university. this can be ruled out on that basis.

(D)Ten class at random and surveying each student in every class will make sampling size large or small depending on students enrolled in each of the class this will not give us reliable results.

We can conclude that (B) is the beast method for obtaining reliable results.

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3 years ago

Find the average value of the function on the given interval.<br> f(x)=2 ln x; [1,e]

JulijaS [17]

Answer:

$f_{avg}=\frac{1}{e-1}$

Step-by-step explanation:

We are given that a function

$f(x)=2lnx$

We have to find the average value of function on the given interval [1,e]

Average value of function on interval [a,b] is given by

$\frac{1}{b-a}\int_{a}^{b}f(x)dx$

Using the formula

$f_{avg}=\frac{1}{e-1}\int_{1}^{e}lnx dx$

By Parts integration formula

$\int(uv)dx=u\int vdx-\int(\frac{du}{dx}\int vdx)dx$

u=ln x and v=dx

Apply by parts integration

$f_{avg}=\frac{1}{e-1}([xlnx]^{e}_{1}-\int_{1}^{e}(\frac{1}{x}\times xdx))$

$f_{avg}=\frac{1}{e-1}(elne-ln1-[x]^{e}_{1})$

$f_{avg}=\frac{1}{e-1}(e-0-e+1)=\frac{1}{e-1}$

By using property lne=1,ln 1=0

$f_{avg}=\frac{1}{e-1}$

8 0

2 years ago

Please help and explain your work

Ilia_Sergeevich [38]

Answer:

416mm³

Step-by-step explanation:

Volume of rectangular prism

= 10.4mm × 5mm × 8mm

= 416mm³

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2 years ago

How do I solve this?

kramer

Https://www.symbolab.com/solver/step-by-step/%5Ccot%5Cfrac%7B-5%5Cpi%7D%7B6%7D

I'm unsure how to properly express how to do this to you but here is a list of steps on how to solve it. Good luck.

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3 years ago