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Maru [420]
3 years ago
14

An opinion poll contacts 1101 adults and asks them, " Which political party do you think has better ideas for leading the countr

y in the 21st century?" In all, 613 of the 1101 say, " The Democrats." The sample in this setting is
A. the 613 people who chose the Democrats.
B. the 1101 people interviewed.
C. all 235 million adults in the United States.
D. None of the above.
Mathematics
2 answers:
madam [21]3 years ago
7 0

Answer:

B. the 1101 people interviewed.

Step-by-step explanation:

An opinion poll contacts 1101 adults and asks them, " Which political party do you think has better ideas for leading the country in the 21st century?"

The sample in this setting is the 1101 people interviewed.

Here sample space is 1101.

ludmilkaskok [199]3 years ago
3 0

Answer:

B. the 1101 people interviewed.

Step-by-step explanation:

The sample is the subset of the population and it takes for making the experiment easy. Further, the sample is said to be best if it is the representation of the whole population.

Here, since opinion poll contacts all 1101 adults for knowing their opinion about political parties.

Hence the sample space is all 1101 people interviewed.

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The quotient of a number and -6 is at least 12
Monica [59]
- 6/ -0.5 = 12 if that's what u want
7 0
4 years ago
I have no clue how to do this please help
mel-nik [20]

Answer:

Max = (6,0); min = (-2, 4)  

Step-by-step explanation:

1. Summarize the constraints

\text{Constraints} = \begin{cases}(a)\qquad 2x - y  & \leq 12\\(b)\qquad 4x+ 2y & \geq 0\\(c) \qquad x + 2y  & \leq 6\\ \end{cases}

2. Optimization equation

z = 5x + 2y

3. Graph the constraints to identify the feasible region

See the figure below.

The "TRUE" regions for each graph are the shaded areas to the side of the line indicated by the arrows.

The "feasibility region" is the dark green area where all three areas overlap and all three conditions are satisfied.

5. Determine the points of intersection among the constraints  

(i) Constraints (a) and (b)

\begin{array}{rcr}2x - y  & = & 12\\4x + 2y & = & 0\\4x - 2y & = & 24\\8x&=&24\\x & = & \mathbf{3}\\6 - y & = & 12\\-y & = &6\\y & = & \mathbf{-6}\\\end{array}\\

The lines intersect at (3,-6).

(ii) Constraints (a) and (c)

\begin{array}{rcr}2x - y  & = & 12\\x + 2y & = & 6\\4x - 2y & = &24\\5x & = & 30\\x & = & \mathbf{6}\\6 + 2y & = & 6\\2y & = &0\\y & = & \mathbf{0}\\\end{array}

The lines intersect at (6,0).

(iii) Constraints (b) and (c)

\begin{array}{rcr}4x+ 2y &= & 0\\x + 2y  &=& 6\\3x & = &  -6\\x & = & \mathbf{-2}\\-2 +2y & = & 6\\2y & = &8\\y & = & \mathbf{4}\\\end{array}

The lines intersect at (-2,4).

6. Determine the x- and y-intercepts of the feasible region

The five black dots at (3,-6), (6,0), and (-2,4) are the vertices of the polygon that represents the feasible region.

Each vertex is a possible maximum or minimum of z.  

7. Calculate the maxima and minima

Calculate z at each of the vertices.

(i) At (-2,4)

z = 5x + 2y = 5(-2) + 2(4) = -10 + 8 = 2

(ii) At (3,-6)

z =  5(3) + 2(-6) = 15 - 12 = 3

(iii) At (6,0)

z = 5(6)+ 2(0) = 30 + 0 = 30

The maximum of z occurs at (6,0).

The minimum of z occurs at (-2, 4).

 

7 0
3 years ago
Y+6=15 and (y+6) 3=15 equivalent expressions
ryzh [129]

Answer:

They are not equivalent expressions

Step-by-step explanation:

y + 6 = 15

y = 9

3(y + 6) = 15

y + 6 = 5

y = -1

6 0
3 years ago
The sales tax on a $350 computer is $ 22.75. find the sales tax rate.
likoan [24]

Set up an equation to solve for the tax rate, x:

350(x) = 22.75\\x = \frac{22.75}{350}\\x = 0.065\\x = 6.5%


We can conclude that the tax rate on the computer was 6.5 percent.

7 0
3 years ago
The height of a ball dropped from a 160 foot building after 1 seconds is represented by h(t) = 160 - 1612
nadya68 [22]

Answer:

C. 16 feet.

Step-by-step explanation:

<u>How to find the maximum height of a projectile</u>

if α = 90°, then the formula simplifies to: hmax = h + V₀² / (2 * g) and the time of flight is the longest.  

if α = 45°, then the equation may be written as:  

if α = 0°, then vertical velocity is equal to 0 (Vy = 0), and that's the case of horizontal projectile motion.

7 0
3 years ago
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