Mathematics College

According to the U.S. Census Bureau, 20.2% of American women aged 25 years or older have a Bachelor's Degree; 16.5% of American women aged 25 years or older have never married; among American women aged 25 years or older who have never married, 22.8% have a Bachelor's Degree; and among American women aged 25 years or older who have a Bachelor's Degree, 18.6% have never married.

Required:
a. Are the events "have a Bachelor's Degree" and "never married" independent? Explain.
b. Suppose an American woman aged 25 years or older is randomly selected, what is the probability she has a Bachelor's Degree and has never married? Interpret this probability.

Answers

Answer 1

Answer:

(a) Not independent

(b) The probability the woman has a Bachelor's Degree and has never married is 0.046.

Step-by-step explanation:

Denote the events as follows:

X = American women aged 25 years or older have a Bachelor's Degree

Y = American women aged 25 years or older have never married

The information provided is as follows:

P (X) = 0.202

P (Y) = 0.165

P (X | Y) = 0.228

P (Y | X) = 0.186

(a)

If two events, say A and B are independent then,

P (A|B) = P (A) and P (B|A) = P (B)

Since,

P (X | Y) ≠ P (X)

P (Y | X) ≠ P (Y)

The events "have a Bachelor's Degree" and "never married" are not independent.

(b)

Compute the probability the woman has a Bachelor's Degree and has never married as follows:

[tex]P(X\cap Y)=P(X|Y)\times P(X)\\\\=0.228\times 0.202\\\\=0.046056\\\\\approx 0.046[/tex]

Thus, the probability the woman has a Bachelor's Degree and has never married is 0.046.

Related Questions

The slope of a line is -7 what is the slope of a line parallel to it

Answers

Answer: The slope is -7

Step-by-step explanation:

When a line is parallel to another line it means that they will never meet. This requires the slope to be the same, so no matter the line, if it is parallel to a line with a slope of -7, then its slope is also -7.

plesase solve this

Prove that a line parallel to one side of a triangle divides the other two sides proportionally. Be sure to create and name the appropriate geometric figures. (10 points)

Answers

Diagram:-

Required Answer:-

Tools Needed:

pencil, paper, ruler

Draw:-[tex]\begin{align*}\triangle ABC\end{align*}.[/tex] Label the vertices.

[tex]\begin{align*}\overline{XY}\end{align*} so that \begin{align*}X\end{align*} is on \begin{align*}\overline{AB}\end{align*} and \begin{align*}Y\end{align*} is on \begin{align*}\overline{BC}\end{align*}. \begin{align*}X\end{align*} and \begin{align*}Y\end{align*}[/tex] can be anywhere on these sides.

Is [tex]\begin{align*}\triangle XBY \sim \triangle ABC\end{align*}? Why or why not? Measure \begin{align*}AX, XB, BY,\end{align*} and \begin{align*}YC\end{align*}. Then set up the ratios \begin{align*}\frac{AX}{XB}\end{align*} and \begin{align*}\frac{YC}{YB}\end{align*}.[/tex] Are they equal?

Draw:-

a second triangle,[tex] \begin{align*}\triangle DEF\end{align*}.[/tex] Label the vertices

Draw:-

[tex]\begin{align*}\overline{XY}\end{align*} so that \begin{align*}X\end{align*} is on \begin{align*}\overline{DE}\end{align*} and \begin{align*}Y\end{align*} is on \begin{align*}\overline{EF}\end{align*} AND \begin{align*}\overline{XY} \ || \ \overline{DF}\end{align*}.

Is \begin{align*}\triangle XEY \sim \triangle DEF\end{align*}? Why or why not? Measure \begin{align*}DX, XE, EY,\end{align*} and \begin{align*}YF\end{align*}. Then set up the ratios \begin{align*}\frac{DX}{XE}\end{align*} and \begin{align*}\frac{FY}{YE}\end{align*}.[/tex] Are they equal?

From this investigation, it is clear that if the line segments are parallel, then [tex]\begin{align*}\overline{XY}\end{align*}[/tex] divides the sides proportionally.

A recipe used 2/3 cup of sugar for every 2 teaspons of vanilla. How much sugar was used per teaspoon of vanilla?

Answers

Answer:

1/3 cups of vanilla per teaspoon

Step-by-step explanation:

a garden store is making seed package . Each package contains 35 seeds. There are 1960 seeds available. How many seed package can be made ?

Answers

Divide total seeds by seeds per package:

1960 / 35 = 56

56 packages can be made.

Find the missing measure and write your solution on the blank provided

Answers

Step-by-step explanation:

sum of internal angles of any triangle = 180 degrees

sum of an exterior angle and an interior angle = 180 degrees

Need help. Find the ratio of the perimeters and the ratio of the areas

Answers

Answer: The ratio of the perimeters is 3:4, and the ratio of the areas is I don't know how to find the ratio of the areas please show me this formula next time.

Step-by-step explanation:

Arturo, Pedro y Jorge son hermanos y duermen en la misma habitación. Su padre compró pintura para que entre los tres pinten su cuarto. Arturo como es el más grande tiene que pintar 1/2 , Pedro y Jorge se dividen en partes iguales lo que falta pintar. ¿Qué fracción de la habitación pintará Pedro? ¿Y Jorge? Explica cómo llegaste a ese resultado.

Answers

Answer:

Tanto Pedro como Jorge deberán pintar 1/4 de la habitación cada uno.

Step-by-step explanation:

Dado que el cuarto entero es igual a 1, y que Arturo por ser el mayor de los hermanos tiene que pintar 1/2 de él, la parte que falta pintar es igual a 1/2 restante.

De ese 1/2, los hermanos menores, Pedro y Jorge, deben pintar dicha fracción en partes iguales. Por lo tanto, dado que (1/2) / 2 es igual a 1/4, la fracción que tanto Pedro como Jorge deberán pintar es de 1/4 de la habitación.

Answer:

xngdshfdxb

Step-by-step explanation:

what can be visualized as a series of vertical lines around the Earth

Answers

Answer:

roads?

Step-by-step explanation:

i think thats right

latitude lines are the lines. longitude lines are horizontal

What is the total amount, including interest, that the shoe store must pay on the loan? (2 points)

Answers

Answer:

2550

Step-by-step explanation:

Hope This Helps

Answer:

2550

Step-by-step explanation:

Find the area of a circle with a radius of 11 inches

Answers

Answer:

A ≈ 380.13in²

Or A= 379.94in²

Step-by-step explanation:

Formula for area:

A = π r²

A=π ·11² ≈ 380.13in²

If π is used as 3.14 then

A=3.14·11² = 379.94

The chart below shows the numbers of endagered and threatened species both here in the United States and abroad

Endangered Threatened
United States Foreign United States Foreign
Mammals 68 251 10 20
Birds 77 175 13 6
Reptiles 17 67 22 19
Anphibians 11 8 10 1

Find the probability that it is:

a. Threatened and in the United States
b. An endangered foreign bird
c. A mammal or a threatened foreign species

Answers

Answer:

a. 0.071

b. 0.226

C. 0.4849

Step-by-step explanation:

We add up all endangered and foreign species to get 775

Probability of threatened in united States.

= 10+13+22+10 = 55 divided by total species

= 55/775

= 0.070967

= 0.071

An endangered foreign bird

Total number of foreign birds = 175

Probability = 175/775

= 0.2258

= 0.226

Please check attachment for the calculation of answer part c.

Thank you!

Please help someone I’m miserable I’ll pay Lol

Answers

Answer:

7,6 1/2, 5 here are your answers welcome

Meredith's goal is to read one library book each week. On the first night, she read 14 pages more than of the pages in the book. If the book has 280 pages, how many pages did she
read the first night?
A 54
B
42
С
38
D
26

Answer:

3,400

Step-by-step explanation:

simplify the like terms

-2x\:+\:3y\:-\:3xy\:+2yz\:-\:3x^2y\:+5x\:-\:4y+3xy

Answers

Answer:

[tex]-2x+3y-3xy+2yz-3x^2y+5x-4y+3xy = 3x-y+2yz-3x^2y[/tex]

Step-by-step explanation:

Given

[tex]-2x+3y-3xy+2yz-3x^2y+5x-4y+3xy[/tex]

Required

Simplify

[tex]-2x+3y-3xy+2yz-3x^2y+5x-4y+3xy[/tex]

We start by collecting like terms

[tex]-2x+5x-4y+3y+3xy-3xy+2yz-3x^2y[/tex]

Then simplify like terms:

[tex]3x-y+0+2yz-3x^2y[/tex]

[tex]3x-y+2yz-3x^2y[/tex]

Conclusively, when [tex]-2x+3y-3xy+2yz-3x^2y+5x-4y+3xy[/tex] is simplified, the result is [tex]3x-y+2yz-3x^2y[/tex]

Hence:

[tex]-2x+3y-3xy+2yz-3x^2y+5x-4y+3xy = 3x-y+2yz-3x^2y[/tex]

Penny’s bank account showed a balance at the beginning of the month of $180. She
spent $2.50 each day on bus tokens. Write an equation representing the amount A left in
her account after d days.

Answers

d=180-2.50x I think.

Answer:

[tex]a=180-2.50d[/tex]

Step-by-step explanation:

If Penny starts with a balance of $180, and [tex]a[/tex] represents the account left in her account after [tex]d[/tex] days. we can start modeling an incomplete equation:

[tex]a=180[/tex]

We are then told that she spends $2.50 each ([tex]d[/tex]) day. This can be represented as:

[tex]2.50d[/tex]

Let's now include the expression into the incomplete equation. Remember that since she is spending, the [tex]2.50d[/tex] will be subtracted from her balance of $180:

[tex]a=180-2.50d[/tex]

Determine which trig function can be used to solve for x. Then, solve for x, 48° 17 Make sure your calculator is operating in "Degree Mode if applicable. Round your answer to the nearest tenth.

Answers

Answer:

x=18.9

Step-by-step explanation:

tan48=x/17

17tan(48)=x

18.9=x

For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Write an equation for the cost, C, after h hours of babysitting. What do you think the slope and the y intercept represent? How much money will she make if she baby-sits 5 hours?

Answers

Answers

Answer:

Yes it's B or C

Step-by-step explanation:

Is the equation a linear function or nonlinear function?
y = 5x + 3

Answers

Answer:

Linear.

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

Step 1: Define

y = 5x + 3

Step 2: Compare

y = mx + b

y = 5x + 3

m = 5

b = 3

It is a linear function and is proportional.

it’s a linear for sure

PLEASE HELP ME BRAINLIEST AND 20 POINTS

What is the domain of f(x) = 35x?
O all real numbers
O positive numbers and zero
O all integers
O whole numbers

Do not guess please this is important and, please explain your answer. Thank you

Answers

Domain is -infinity to +infinity. So it is all real numbers. This is because you can plug any number into the x value.

E. You can see a person in 1/4 the windows, How many people are visable

Answers

Answer:

Step-by-step explanation:

You say that you can see a quarter of a person in a window. You cant have 1/4 of someone so the answer is 0 or 0.25

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