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liubo4ka [24]
3 years ago
7

A city planner is studying the need for affordable housing in the city's Urban Planning Department. He learned from the census o

f all 75,342 households in the city that the median family income is $65,000, with an average of 2.9 persons-per-household, and 88% live in a single household unit. Previously, the planner had surveyed a group of 400 randomly selected households in the city. The surveyed households had a median family income of $52,000, an average of 3.2 persons per household, and 80% lived in a single household unit. 2
(a) For city planner's survey, identify the population and the sample,
Population: (Choose one)
Sample: (Choose one)
(b) Choose whether each number described below is a parameter or a statistic for the city planner's survey,
Number Parameter Statistic
The 80% of the group of randomly selected households that live in a single household unit
The average of 2.9 personer household of all the households in the city The $65,000 median family income of all the households in the city At a TV assembling facility, the Quality Assurance (QA) department tested a random selection of 600 TV's assembled in March.
Mathematics
1 answer:
goldfiish [28.3K]3 years ago
6 0

Answer:

Population = 75,342 households

Sample = 400 randomly selected households

The percentage who live in a single household unit = Parameter

The average of 2.9 person per household of all households in the city = parameter

The $65,000 median family income of all the households in the city = Parameter

Step-by-step explanation:

The population refers to all the entire elements, observations or subject which fits into a particular study. In the scenario above, the entire household in the city of study. That is, the 75,342 households.

The sample is the subset of the population which is a smaller set of observation meant to be representative of the larger population. The sample here is the 400 randomly selected households.

Parameter differs from statistics in that numerical estimates or calculations obtained from the population is called the parameter while the numerical characteristics derived from the sample is called statistic.

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Describe the transformations required to obtain the graph of the function f(x) from the graph of the function g(x). f(x) = 6 cos
meriva

Answer:

  Vertical stretch by a factor of 6

Step-by-step explanation:

Multiplying the function value by a constant moves its y-coordinate farther away from the x-axis by that factor. It causes a vertical stretch. Here, ...

  the vertical stretch factor is 6

7 0
3 years ago
Write a conditional statement. Write the converse, inverse and contrapositive for your statement and determine the truth value o
photoshop1234 [79]
A conditional statement involves 2 propositions, p and q. The conditional statement, is a proposition which we write as: p⇒q,

and read  "if p then q" 



Let p be the proposition: Triangle ABC is a right triangle with m(C)=90°.

Let q be the proposition: The sides of triangle ABC are such that 

|AB|^2=|BC|^2+|AC|^2.


An example of a conditional statement is : p⇒q, that is:

if Triangle ABC is a right triangle with m(C)=90° then The sides of triangle ABC are such that |AB|^2=|BC|^2+|AC|^2


This compound proposition (compound because we formed it using 2 other propositions) is true. So the truth value is True, 


the converse, inverse and contrapositive of p⇒q are defined as follows:

converse: q⇒p
inverse: ¬p⇒¬q (if [not p] then [not q])
contrapositive: ¬q⇒¬p

Converse of our statement:

if The sides of triangle ABC are such that |AB|^2=|BC|^2+|AC|^2
then Triangle ABC is a right triangle with m(C)=90°

True


Inverse of the statement:

if Triangle ABC is not a right triangle with m(C) not =90° then The sides of triangle ABC are not such that |AB|^2=|BC|^2+|AC|^2

True


Contrapositive statement:

if The sides of triangle ABC are not such that |AB|^2=|BC|^2+|AC|^2  then Triangle ABC is not a right triangle with m(C)=90°


True









4 0
3 years ago
Eighty, decreased by three times a
Marina86 [1]

Answer:

The number is 9.

Step-by-step explanation:

Lets write this as an equation first. We'll substitute the number for the variable <em>x</em>.

80 - 3x = 5x + 8

First, let's add 3x to both sides.

80 - 3x + 3x = 5x + 3x + 8

80 = 8x + 8

Next, let's subtract 8 from both sides.

80 - 8 = 8x + 8 - 8

72 = 8x

Finally, let's divide both sides by 8.

72/8 = 8x/8

9 = x

<em>"x" is 9.</em>

<em>So the secret number is 9.</em>

P.S.

This is my first answer to a Brainly question so please don't complain!

6 0
3 years ago
The area of a rectangular field is 6052 m².
Aleonysh [2.5K]

Answer:

<h2>length = 89 m</h2>

Step-by-step explanation:

Area of a rectangle = l × w

where

l is the length

w is the width

From the question

Area = 6052 m²

width = 68 m

To find the length substitute the values into the above formula

6052 = 68l

Divide both sides by 68

We have the final answer as

<h3>length = 89 m</h3>

Hope this helps you

5 0
3 years ago
Read 2 more answers
Find the slope of the line that passes through (87, 91) and (88, -4).
Elanso [62]
<h2>Answer:    slope = - 95</h2><h2> </h2>

Step-by-step explanation:    

      The question gives us two points, (87, 91) and (88, -4), from which we can find the slope and later the equation of the line.

<u> </u>

<u>Finding the Slope</u>  

The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)      

                                        =  (91 - (- 4)) ÷ (87 - 88)    

                                        =  - 95

<em><u /></em>

<em><u /></em>

<em><u>Checking my answer:</u></em>

<em>Finding the Equation</em>  

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:  

                                ⇒  y - (-4) =  - 95 (x - 88)

                                       y + 4 =  - 95 (x - 88)

<em>To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.</em>

5 0
2 years ago
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