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ikadub [295]
2 years ago
14

Janine wishes to conduct a poll to predict how many dance club members will vote for her for club president.

Mathematics
2 answers:
ivann1987 [24]2 years ago
6 0

I''m gonna say A. as one of the answers and probably B

Vera_Pavlovna [14]2 years ago
3 0
"Bias" means someone shows inclination towards someone or something because of the relationship that person has with that thing or person. 

In this case, since Janine has friends that are also in the dance club, they are more likely to vote for her as president because they are friends with her. So, answer A is likely to be biased because the five people sampled are her friends. 

Answer C is also biased because the sample chosen already plan on voting for her as president, and they are more than likely to find others who plan to vote for her.
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Find the domain and range of the<br>function y = f(x)= √x-2<br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7Bx%20-%202%7D%20" i
Over [174]

Answer:

3x-x+2=4

Step-by-step explanation:

The domain of f(x)=2^x would be the x values. This would include all values that you can input as x in order to make this problem work. The domain of a function is usually all real numbers. The range of f(x)=2^x would be the y values. This would include all values that would be the output for the y value. An example of this would be if you used 2 as x then the function would read f(x)=2^2. The y would equal 4 which would be included in the range of this function. To find the domain and range of the inverse you would follow the proper steps to get the inverse of the function which would be x=2^y. The domain would be the x values and the range would be the y values. If you put 4 as x which would be your input for the domain you would get 2^4 = 16 for the y which would be the range.

4 0
2 years ago
Find the point on the parabola y^2 = 4x that is closest to the point (2, 8).
guapka [62]

Answer:

(4, 4)

Step-by-step explanation:

There are a couple of ways to go at this:

  1. Write an expression for the distance from a point on the parabola to the given point, then differentiate that and set the derivative to zero.
  2. Find the equation of a normal line to the parabola that goes through the given point.

1. The distance formula tells us for some point (x, y) on the parabola, the distance d satisfies ...

... d² = (x -2)² +(y -8)² . . . . . . . the y in this equation is a function of x

Differentiating with respect to x and setting dd/dx=0, we have ...

... 2d(dd/dx) = 0 = 2(x -2) +2(y -8)(dy/dx)

We can factor 2 from this to get

... 0 = x -2 +(y -8)(dy/dx)

Differentiating the parabola's equation, we find ...

... 2y(dy/dx) = 4

... dy/dx = 2/y

Substituting for x (=y²/4) and dy/dx into our derivative equation above, we get

... 0 = y²/4 -2 +(y -8)(2/y) = y²/4 -16/y

... 64 = y³ . . . . . . multiply by 4y, add 64

... 4 = y . . . . . . . . cube root

... y²/4 = 16/4 = x = 4

_____

2. The derivative above tells us the slope at point (x, y) on the parabola is ...

... dy/dx = 2/y

Then the slope of the normal line at that point is ...

... -1/(dy/dx) = -y/2

The normal line through the point (2, 8) will have equation (in point-slope form) ...

... y - 8 = (-y/2)(x -2)

Substituting for x using the equation of the parabola, we get

... y - 8 = (-y/2)(y²/4 -2)

Multiplying by 8 gives ...

... 8y -64 = -y³ +8y

... y³ = 64 . . . . subtract 8y, multiply by -1

... y = 4 . . . . . . cube root

... x = y²/4 = 4

The point on the parabola that is closest to the point (2, 8) is (4, 4).

4 0
2 years ago
The daily production cost, C, for x units is modeled by the equation:
tiny-mole [99]

First find the domain(the set of all first coordinates in a function) by finding where the equation(a mathematical statement that says two expressions have the same value; any number sentence with an = sign) is defined.

After that you should know what to do. I don't know how to work this problem cuz i'm barely in 9 grade. But somehow, I know this.

(−∞,∞)

{x|x∈R}

If this helped, please let me know and give me brainliest, please!!

If this is incorrect, please let me know so I can fix it!



4 0
3 years ago
Read 2 more answers
Course challenge
krek1111 [17]

Answer:

x=36

Divide the corresponding side (16) by 4/7

3 0
1 year ago
Read 2 more answers
Please answer the questions in my profile. There's plenty of points there
Shtirlitz [24]

Answer:

ok

Step-by-step explanation:

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3 years ago
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