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Vsevolod [243]
3 years ago
11

A magazine article conducted a survey of 525 people in New York City and found that 30% of the population believe that the Yanke

es will miss the playoffs this year. In the accompanying dialogue, the article states, we are 92% confident that the true proportion of people in New York City who believe that the Yankees will miss the playoffs this year lies between 25% and 35% . What does 30% represent in the article?
Mathematics
1 answer:
WINSTONCH [101]3 years ago
3 0

Answer:

In this case, the 30% represents the proportion of the sample. It is a statistic that can be used to estimate a parameter of the population.

Step-by-step explanation:

In this case, the 30% represents the proportion of this specific sample (survey taken by the magazine).

It is a statistic that can be used to estimate a parameter of the population. In this case, it may be used to estimate the true proportion of "people in New York who believe that the Yankees will miss the playoffs this year".

If a new sample is taken, a new statistic will be calculated that may or may not be equal to 30%.

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Brenda is cooking couscous. The recipe says she requires 480 grams of couscous for 4 people. How many will she need for 14?
Nimfa-mama [501]

Answer:

1,680 grams

Step-by-step explanation:

To solve this, we can create a proportion using this setup:

grams/people=grams/people

The recipe needs 480 grams for 4 people and x (unknown-what we are trying to find) grams for 14 people.

480 grams/4 people=x grams/14

480/4=x/14

Now, we have to solve for x-the grams needed for 14 people. To do this, we have to get x by itself. x is being divided by 14. To undo this, multiply both sides by 14, because multiplication is the opposite of division.

14(480/4)=(x/14)14

14(480/4)=x

14*120=x

1680=x

She needs 1,680 grams of couscous for 14 people.

8 0
3 years ago
PLS HELP!!! WILL MARK BRAINLIEST <br> Solve for x and/or y:
zhannawk [14.2K]

Answer:

C) x=35

Step-by-step explanation:

First, we know that the total amount of degrees in a rotation is 360. As the picture tells us, the opposite angles will be exactly the same. Taking this information, we can have the following equation:

4x + 2(3x+5) = 360

By now using our linear equation skills, we get:

10x+10=360

10x=350

x=35

The degree amount of x for c) is 35 degrees.

6 0
3 years ago
Read 2 more answers
Graph the function 2 3^sqrt x+2 +4​
Ghella [55]

Answer: b; y intercept between 8 and 4

Step-by-step explanation:

1. a; 2/3

2. b; 3, all real numbers except x=2

3. a; $.75

4. c; intercepting at (-3,-3)

5. b; 5

6. a; starts at 3

7. b; 1975

8. b; y intercept between 8 and 4

8 0
3 years ago
Part 4: Identify the vertex, focus and directrix of each. Then sketch the graph.
Nezavi [6.7K]

Answer: 1) Vertex: (6, -2)    Focus: (6, -7/4)     Directrix: y = -9/4

              2) Vertex: (-2, -1)   Focus: (-7/4, -1)     Directrix: x = -9/4

<u>Step-by-step explanation:</u>

Rewrite the equation in vertex format y = a(x - h)² + k   or   x = a(y - k)² + h by completing the square. Divide the b-value by 2 and square it - add that value to both sides of the equation.

  • (h, k) is the vertex
  • p is the distance from the vertex to the focus
  • -p is the distance from the vertex to the directrix

    \bullet\quad a=\dfrac{1}{4p}

1) y = x² - 12x + 34

y-34=x^2-12x\\\\y-34+\bigg(\dfrac{-12}{2}\bigg)^2=x^2-12x+\bigg(\dfrac{-12}{2}\bigg)^2\\\\\\y-34+36=(x-6)^2\\\\y+2=(x-6)^2\\\\y=(x-6)^2-2\qquad \rightarrow \qquad a=1\quad (h,k)=(6,-2)\\

a=\dfrac{1}{4p}\quad \rightarrow \quad 1=\dfrac{1}{4p}\quad \rightarrow \quad p=\dfrac{1}{4}\\\\\\\text{Focus = Vertex + p}\\.\qquad \quad =\dfrac{-8}{4}+\dfrac{1}{4}\\\\.\qquad \quad =-\dfrac{7}{4}\quad \rightarrow \quad\text{Focus}=\bigg(6,-\dfrac{7}{4}\bigg)\\\\\\\text{Directrix: y= Vertex - p}\\.\qquad \qquad y=\dfrac{-8}{4}-\dfrac{1}{4}\\\\.\qquad \qquad y=-\dfrac{9}{4}

*******************************************************************************************

2) x = y² + 2y - 1

x+1=y^2+2y\\\\x+1+\bigg(\dfrac{2}{2}\bigg)^2=y^2+2y+\bigg(\dfrac{2}{2}\bigg)^2\\\\\\x+1+1=(y+1)^2\\\\x+2=(y+1)^2\\\\x=(y+1)^2-2\qquad \rightarrow \qquad a=1\quad (h,k)=(-2,-1)\\

a=\dfrac{1}{4p}\quad \rightarrow \quad 1=\dfrac{1}{4p}\quad \rightarrow \quad p=\dfrac{1}{4}\\\\\\\text{Focus = Vertex + p}\\.\qquad \quad =\dfrac{-8}{4}+\dfrac{1}{4}\\\\.\qquad \quad =-\dfrac{7}{4}\quad \rightarrow \quad\text{Focus}=\bigg(-\dfrac{7}{4},-1\bigg)\\\\\\\text{Directrix: x= Vertex - p}\\.\qquad \qquad y=\dfrac{-8}{4}-\dfrac{1}{4}\\\\.\qquad \qquad x=-\dfrac{9}{4}

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3 years ago
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asambeis [7]
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None of the independent (x) values are repeated and each one has a corresponding (y) value.

If you had a repeated (x) value in the table, it would not represent a function.
4 0
3 years ago
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