MATHEMATICS COLLEGE

A Bloomberg BusinessWeek North American subscriber study collected data from a sample of 2861 subscribers. Fifty-nine percent of the respondents indicated an annual income of $75,000 or more, and 50% reported having an American Express credit card.1.What is the population of interest in this study?

2.Is annual income a qualitative or quantitative variable?

3.Is ownership of an American Express card a qualitative or quantitative variable?

4.Does this study involve cross-sectional or time series data?

5. Determine whether the following two statistical inferences may be made based on the sample data collected.

An estimated 59% of the population of subscribers has an annual income of $75,000 or more.

An estimated 60% of the population of subscribers has an American Express credit card.

Answers

Answer 1

Answer:

Bloomberg Business week NorthAmerica Subscribers

; Quantitative ; Qualitative ; No ; Yes ; No

Step-by-step explanation:

Sample size = 2861

Percentage respondent with annual income ≥ 75000 = 59%

Percentage having an American Express credit card

1.What is the population of interest in this study?

Bloomberg business week NorthAmerica Subscribers

2. Quantitative

Annual income is quantitative because it is numeric, that is repress red by numbers which can be used to perform sensible numerical computation such as additions, mean, multiplication and so on.

3.Qualitative

No ; ownership of an American express card is a Qualitative variable as it will take responses as (yes or no), even when represented or coded as numbers, it will make no numerical sense to peform mathematical calculations with it.

No ; time series data has to do with data collected with respect to a particular month, year or seasonal data.

5. Determine whether the following two statistical inferences may be made based on the sample data collected.

An estimated 59% of the population of subscribers has an annual income of $75,000 or more.

Yes ;

An estimated 60% of the population of subscribers has an American Express credit card.

No ; the research says 50% and not 60%

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Answers

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Step-by-step explanation:

What percent is equivalent to 2/366 1/3

66 3/5

66 2/3

66 7/10

Answers

$\huge\text{Hey there!}$

$\huge\textbf{Question reads....}$

$\large\textbf{What percent is equivalent to }\rm{\bf (2)/(3)}\large\textbf{ ?}$

$\huge\textbf{Let's simplify the current fraction}\n\huge\textbf{to find the overall result to this question.}$

$\mathbf{(2)/(3)}$

$\mathbf{= 2/3}$

$\mathbf{= 0.66666667}$

$\mathbf{= 0.66666667 * 100}$

$\mathbf{= 66.6666667\%}$

$\mathbf{\approx 66.67\%}$

$\huge\textbf{Let's do process of elimination to find}\n\huge\textbf{the fraction that is equivalent to yours.}$

$\huge\textsf{Option A.}$

$\mathbf{66 (1)/(3)}$

$\mathbf{= (66*3+1)/(3)}$

$\mathbf{= (198 +1)/(3)}$

$\mathbf{= (199)/(3)}$

$\mathbf{= 199/3}$

$\mathbf{= 66.3333333}$

$\mathbf{= 66.3333333 *100}$

$\mathbf{= 6,633.33333\%}$

$\mathbf{\approx 6,633.33\%}$

$\huge\textsf{This eliminates Option A. as your result.}$

$\huge\textsf{Option B.}$

$\mathbf{66 (3)/(5)}$

$\mathbf{= (66*5 + 3)/(5)}$

$\mathbf{= (330 + 3)/(5)}$

$\mathbf{= (333)/(5)}$

$\mathbf{= 333/5}$

$\mathbf{= 66.6}$

$\mathbf{= 66.6 * 100}$

$\mathbf{= 6,660}$

$\mathbf{\approx 6,660\%}$

$\huge\textsf{This eliminates Option B. as your result.}$

$\huge\textsf{Option C.}$

$\mathbf{66 (2)/(3)}$

$\mathbf{= (66*3+2)/(3)}$

$\mathbf{= (198 + 2)/(3)}$

$\mathbf{= (200)/(3)}$

$\mathbf{= 200/3}$

$\mathbf{= 66.6666667}$

$\mathbf{= 66.6666667*100}$

$\mathbf{= 6,666.66667}$

$\mathbf{\approx 6,666.67\%}$

$\huge\textsf{This eliminates Option C. as your result.}$

$\huge\textsf{Option D.}$

$\mathbf{66(7)/(10)}$

$\mathbf{= (66*10 +7)/(10)}$

$\mathbf{= (660 + 7)/(10)}$

$\mathbf{= (667)/(10)}$

$\mathbf{= 667/10}$

$\mathbf{= 6.67}$

$\mathbf{= 6.67*100}$

$\mathbf{= 6,670}$

$\mathbf{\approx 6,670\%}$

$\huge\textsf{This eliminates Option D. as your result.}$

$\huge\textbf{It seems like none of the above matches }\n\huge\textbf{the original fraction, so we will use the}\n\huge\textbf{that is close to the original answer.}$

$\huge\textbf{The closest answer was:}$

$\mathbf{66 (2)/(3)}$

$\huge\textbf{Therefore the answer MIGHT be:}$

$\huge\boxed{\mathsf{Option\ C. \ 66 (2)/(3)}}\huge\checkmark$

$\huge\text{Good luck on your assignment \& enjoy your day!}$

~ $\frak{Amphitrite1040:)}$

Answer:

66 2/3

Step-by-step explanation:

(2/3)(100) = 66 2/3

Given that a point of measure is 3m away from a tree, and the top of the tree is at a 60 degree angle from the ground,find the height of the tree.

Answers

So there is a right triangle.

The tree hight over the distance from the tree is equal to the tangent of the angle.

h / 3 = tan(60)

h / 3 = $√(3)$

h = $3√(3)$

Final answer:

To find the height of the tree, we can use trigonometry and the tangent function. The height of the tree is approximately 5.2 meters.

Explanation:

To find the height of the tree, we can use trigonometry. We have a right triangle formed by the tree, the point of measure, and the ground. The distance from the point of measure to the tree is the adjacent side, and the height of the tree is the opposite side. We can use the tangent function to find the height:

tan(60°) = height/3m

height = 3m * tan(60°) = 3m * √3 ≈ 5.2m

Therefore, the height of the tree is approximately 5.2 meters.

Learn more about Finding the height of a tree using trigonometry here:

brainly.com/question/33884508

#SPJ2

a model rocket is fired straight up from the ground. The heigth of the rocket (in feet) at any time T (in seconds) can be modeled by the equation h= -16t^2+ 128 when will the height of the rocket be 240feets from the ground.

Answers

The height is modeled by,

$h(t)=-16t^2+128$

Where

t is time in seconds

We want to find the time, t, rocket will be 240 feet above the ground.

So we will substitute 240 into h(t) and find the corresponding value of "t".

The steps are shown below:

$\begin{gathered} h(t)=-16t^2+128 \n 240=-16t^2+128 \n 16t^2=112 \n t^2=7 \n t=\sqrt[]{7} \end{gathered}$

Square root of 7 is approximately 2.65 seconds.

So,

Answer2.65 seconds

Using the table of ordered pairs, which equation shows the linear relationship between the x and y values? ---- ----

x|y

-2|2

1|5

3|7

---- ----

A. y = x + 4

B. y = -x

C. y = x - 4

D. y = 4 - x

Answers

Answer:

y = x + 4

Step-by-step explanation:

y = mx + b (m = slope; b = y-intercept)

I used 2 points (-2 , 2) and (1 , 5) to calculate the slope of the line

m= (y₂ - y₁)/(x₂ - x₁)

(5-2)/(1--2) = 3/3= 1

y = 1x + b

using point (1, 5)

5 = 1(1) + b

5 = 1 + b

b = 5-1

b=4

y= 1x + 4 or simply y= x + 4

Answer:

A y = x + 4

yeh i did the test

Step-by-step explanation:

Furnace repairs Rj's plumbing charges $55 plus $40 per hour for emergency service. Gary remembers being billed over $150 for an emergency call. How long was Rj there?Use an inequality

Answers

You set it up as a y=mx+b problem 150=55x+40 then you subtract 40 from 150 making 110=55x so x=2

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