MATHEMATICS COLLEGE

The American Community Survey is an ongoing survey that provides data every year to give communities the current information they need to plan investments and services. The 2010 American Community Survey estimates that 14.6% of Americans live below the poverty line, 20.7% speak a language other than English (foreign language) at home, and 4.2% fall into both categories. a. Draw a Venn diagram summarizing the variables and their associated probabilities
b. What percent of Americans live below the poverty line and only speak English at home?
c. What percent of Americans live below the poverty line or speak a foreign language at home?

Answers

Answer 1

Answer:

Answer:

b. 10.4

c. 26.9

Step-by-step explanation:

Let the universal set U = 100% which is the total no of people in the American community

Let A = 14.6% which is the total no of people living below poverty line

Let B = 20.7% which is the total no of people speaking foreign Language

C = 4.2% no of people who both speak foreign language and live below poverty line

X = no of people who neither live below poverty line nor speak foreign language

P (A) = 14.6%

P (B) = 20.7%

P (C) = P (A ∩ B) = 4.2%

P (A – C) = P (A ∩ U) = 14.6 – 4.2 = 10.4%

P (B – C) = P (B ∩ U) = 20.7 – 4.2 = 16.5%

P (X) = P (A ᴜ B) c =100 – (10.4 + 4.2 + 16.5) = 68.9%

a. The venn diagram is as shown above

b. Percent of Americans who live below poverty line and Speak English at home(minus foreign lang speakers living below poverty line) that is A only

= A – C

= 14.6 – 4.2

= 10.4%

c. Percentage of Americans Living below poverty line or Speaking foreign language

= A only + B only

A only = A – C ( People living below poverty line only)

= 14.6 -4.2

= 10.4%

B only = B – C ( people speaking foreign languages only)

= 20.7 – 4.2

= 16.5%

Hence

A only + B only = 10.4 + 16.5 = 26.9%

Related Questions

Question 3 (1 point)What is the value of x in the equation 8+4 = 2(x - 1)?a11/2b13/2c5d7
Stuck on letter b, please help
HELP IT'S DUE TONIGHT!!!!! If a piece of steel 12 feet long weighs 168 pounds, how much will a piece of steel 20 feet long weigh?
miguels physical eduction class lasts for 3/4 of an hour. today they spent 3/4 of that time playing dodge ball. what fraction of an hour did he spend playing dodge ball?
In a particular class of 31 students, 14 are men. What fraction of the students in the class are men?

Please help me I’m so confused

Answers

Given:

The given expression is $\sum_(1)^(10) 4\left((1)/(4)\right)^(n-1)$

We need to evaluate the given expression.

Solution:

The given expression is in the form of general form of geometric sequence $a_n=ar^(n-1)$

The common ratio is $r=(1)/(4)$ and the first term is a = 4.

The formula to find the sum of the series is given by

$S_n=a((1-r^(n))/(1-r))$

Substituting n= 10, a = 4 and $r=(1)/(4)$ , we get;

$S_(10)=4 \cdot (1-\left((1)/(4)\right)^(10))/(1-(1)/(4))$

$S_(10)=4 \cdot (1-(1)/(1048576))/(1-(1)/(4))$

$S_(10)=4 ( ((1048575)/(1048576))/((3)/(4)))$

$S_(10)=4 ( (1048575)/(1048576) * {(4)/(3))$

$S_(10)= (16777200)/(3145728)$

$S_(10)=5.33$

Thus, the sum of the 10 terms is 5.33

Find the sum of the first 8 terms of the geometric sequence if the first term is 9 and the common ratio is -3.

Answers

hmmmm let's see $\bf \textit{sum of a finite geometric sequence}=S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\n\n\begin{cases}n=n^(th)\ term\na_1=\textit{first term}\nr=\textit{common ratio}\end{cases}\qquad thus\implies S_8=9\left( \cfrac{1-(-3)^8}{1-(-3)} \right)$

Find all missing angles in the diagrams below, please help

Answers

Answer:

x= 80°, y= 100°

Step-by-step explanation:

Please see the attached picture for the full solution.

Answer:

x = 80,

y = 80

Step-by-step explanation:

This is difficult to explain, so here are the theorems used

two lines parallel, with a transversal; alternate interior angles,

verticle angles theorem,

parts - whole postulate,

verticle angles theorem,

parts- whole postulate,

sum angles in a triangle,

supplementary angle, definition straight angle,

parts- whole postulate,

there are many other ways to reach the answer, I just whent this way.

A local salesman has forty-five stacks of magazines. If the salesman plans to sell three-fifths of the stacks, how many stacks will he have left?

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Evaluate
4(x+3)(x+1)/(x+5)(x-5) x=3

Answers

The value of the given expression will be equal to -3.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

The solution to the expression is:-

= 4( x + 3 ) ( x + 1 ) / ( x + 5 ) ( x - 5 )

= 4( 3 + 3 ) ( 3 + 1 ) / ( 3 + 5 ) ( 3 - 5 )

= ( 4 x 6 x 4 ) / ( 8 x -2 )

= -3

Therefore the value of the given expression will be equal to -3.

To know more about Expression follow

brainly.com/question/723406

#SPJ2

Hattie is making fruit baskets, which includes apples and bananas, to send to some of her real estate clients. She wants each basket to have 12 pieces of fruit, but the fruit should weigh no more than 80 ounces total. On average, each apple weighs 5 ounces, and each banana weighs 7 ounces.

Answers

The number of apples are 2 and number of bananas is 10.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given that Hattie is making fruit baskets, which includes apples and bananas, to send to some of her real estate clients.

She wants each basket to have 12 pieces of fruit, but the fruit should weigh no more than 80 ounces total.

On average, each apple weighs 5 ounces, and each banana weighs 7 ounces.

Let Bananas is denoted by B and Apples are represented by A.

A+B=12...(1)

5A+7B<80...(2)

A=12-B

Substitute in equation 2.

5(12-B)+7B=80

60-5B+7B=80

60+2B=80

Subtract 60 on both sides.

2B=80-60

2B=20

Divide both sides by 2.

B=10

A+B=12

A+10=12

A=2

Hence, the number of apples are 2 and number of bananas is 10.

To learn more on Equation:

brainly.com/question/10413253

#SPJ2

Answer:

Step-by-step explanation:

The answer is 10 bananas and 2 apples

Other Questions

Given m< BAD= y and m

Will mark brainliest!!The graph shows Wilson's science scores versus the number of hours spent doing science homework. What will most likely be Wilson's approximate science score if he does science homework for 6 hours a week? 33 points 42 points 52 points 55 points

Which of the following is an example of inductive reasoning? A. The first eight marbles that Dexter has drawn from a bag containing red and blue marbles have been red. Dexter concludes that the next marble he draws will be red. B. Jacob knows that in order to get a half-hour lunch break, his work shift must be at least six hours. Jacob concludes that since he is scheduled to get a half-hour lunch break, then his work shift must be at least six hours. C. Alicia knows that in order for someone to be in band, they have to know how to play an instrument. Mindy is in band. Alicia concludes that Mindy must know how to play an instrument. D. Stewart uses the basketball rule book to determine that one point is awarded for each free throw that a player makes.

Someone please answer!