Marriage Prospects Data released by the Census Bureau in 1986 indicated the likelihood that never-married women would eventually marry. The data indicated that the older the woman, the less the likelihood of marriage. Specifically, two statistics indicated that women who were 45 and never-married had an 18 percent chance of marriage and women 25 years old had a 78 percent chance of marriage. Assume that a linear fit to these two data points provides a reasonable approximation for the function p=f(a), where p equals the probability of marriage and a equals the age of a never- married woman. (a) Determine the linear function p=f(a). (b) Interpret the slope and p intercept. (c) Do the values in part b seem reasonable? (d) If the restricted domain on this function is 20 sa s 50, determine f(20), f(30), f(40), and f(50).

Answers

Answer 1

Answer:

See below

Step-by-step explanation:

Using the two pairs of (a, p) to determine the function:

(45, 18) and (25, 78)

The function would be:

f(a) = ma + b, where m is slope, b is p-intercept

Slope is:

m = (78 - 18)/(25 - 45) = -50/20 = -2.5

p-intercept:

18 = -2.5*45 + bb = 18 + 112.5 = 120.5

So the function is:

(a)

f(a) = -2.5a + 120.5

(b) Slope is negative, indicating the lower probability at greater age. P-intercept of 120.5 is of the non-real case as for zero age it gives more than 100% probability.

(c) The domain needs restriction in line with law, so minimum age and maximum to be determined in order not to have unrealistic outcome. It should be ok between 18 and 48.

(d) The values at given points:

f(20 = -2.5*20 + 120.5 = 70.5f(30) = -2.5*30 + 120.5 = 45.5f(50) = -2.5*50 + 120.5 = -4.5 (negative probability for the age of 50 is not real)

Related Questions

A car travels 200 miles using 8 gallons of gasoline. What's the unit rate in miles per gallon? Please write
your work and don't forget the unit.

Answers

Answer:

0.04

Step-by-step explanation:

what you would do is 8 divided by 200 and get 0.04

please mark me brainliest

Answer:

hey i need help with the same test can you help me please. I need the answers please help me.

Step-by-step explanation:

How many minutes are not spent on instructions?

Answers

Answer: 1/5

Step-by-step explanation:

Answer:

I'm pretty sure the answer is 48 minutes!

Select the common unit rate you would use to solve a problem involving the speed of a vehicle.

A: Earnings per week
B. Words per minute
C: Kilometers per hour
D. Miles per gallon

Please select the best answer from the choices provided.​

Answers

Answer:

I think option c is the best answer but i am not surely ok

Answer:here's the correct answer for this question

Step-by-step explanation:edge2023

If rick buys a remote control car of $34.00 what is the selling price

Answers

Answer:

Step-by-step explanation:

Lol what is this question man. If he bought it for $34, pretty sure the "selling price" is $34.00

Answer:

$34.00

Step-by-step explanation:

if he get it for $34.00 so the selling price is $34.00

James and Dan are partners in a small company. From each year’s profit, James is paid a bonus of $15000 and the remainder is shared between James and Dan in the ratio of 2:3. In 1996 the profit was $ 20000. Show that Dan’s share was $3000.

Answers

Answer:

total20000

bonus15000

remaining 20000-15000=5000

ratio 2+3=5x

Dan part =3x

Dan value=( 5000/5)*3=3000

Step-by-step explanation:

Suppose y varies directly with x. Write a direct variation equation to relate x and y if y = 10 when x = 2

Answers

Answer:

y=5x and y=40 when x=8

Answer:

y = 5x

Step-by-step explanation:

Given that y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 10 when x = 2

10 = 2k ( divide both sides by 2 )

5 = k

y = 5x ← equation of variation

hallar el valor de x en 3(x-2)+4=x-5

Answers

Answer:

exact form 3/2 decimal  form 1.5 mixed number form 1 1/2

Step-by-step explanation:

Answer:

[tex] \huge{ \bold{ \boxed{ \tt{x = - \frac{3}{2} }}}}[/tex]

☯[tex] \underline{ \underline{ \sf{Question}}} : [/tex]

3 ( x - 2 ) + 4 = x - 5

☯ [tex] \underline{ \underline{ \sf{To \: find}}} : [/tex]

the value of x

[tex] \text{Given \: Equation : \: 3(x - 2) + 4 = x - 5}[/tex]

You must distribute first ! In this equation , you have the distributive property on left hand side of the equation. You must first get rid of the parentheses.

⇢ [tex] \text{3 × \: x - 3× 2 + 4 = x - 5} [/tex]

⇢ [tex] \text{3x - 6 + 4 = x - 5}[/tex]

On the left hand side , you have two numbers : - 6 and 4. Remember that ' The negative and positive numbers are subtracted but posses the sign of the bigger number. '

⇢[tex] \sf{3x - 2 = x - 5}[/tex]

Move x to left hand side and change it's sign.

Similarly , move 2 to right hand side and change it's sign.

⇢[tex] \sf{3x - x = - 5 + 2}[/tex]

On the left hand side , you have like terms. Combine the like terms : 3x - x = 2x

⇢[tex] \sf{2x = - 5 + 2}[/tex]

On the right hand side , - 5 + 2 = -3

⇢[tex] \sf{2x = - 3}[/tex]

Divide both sides by 2

⇢[tex] \sf{ \frac{2x}{2} = - \frac{3}{2} }[/tex]

⇢[tex] \boxed{\sf{x = - \frac{3}{2} }}[/tex]

-----------------------------------------------------------------

✏ CHECK :

[tex] \text{3(x - 2) + 4 = x - 5}[/tex]

Substitute [tex] \sf{ - \frac{3}{2}} [/tex] for x into the original equation. And simplify !

⇾ [tex] \sf{3( - \frac{3}{2} - 2) + 4 = - \frac{3}{2} - 5}[/tex]

⇾[tex] \sf{3( \frac{ - 3 - 2 \times 2}{2} ) + 4 = \frac{ - 3 - 5 \times 2}{2}} [/tex]

⇾[tex] \sf{3( \frac{ - 3 - 4}{2} ) + 4 = \frac{ - 3 - 10}{2}} [/tex]

⇾[tex] \sf{3( \frac{ - 7}{2} ) + 4 = \frac{ - 13}{2}} [/tex]

⇾[tex] \sf{ \frac{ - 21}{2} + 4 = \frac{ - 13}{2}} [/tex]

⇾[tex] \sf{ \frac{ - 21 + 4 \times 2}{2} = \frac{ - 13}{2}} [/tex]

⇾[tex] \sf{ \frac{ - 21 + 8}{2} = \frac{ - 13}{2}} [/tex]

⇾[tex] \sf{ \frac{ - 13}{2} = \frac{ - 13}{2}} [/tex]

Since both sides are equal , x = [tex] \boxed{ - \sf{ \frac{ 3}{2} }}[/tex] is the correct answer.

And we're done !!

Hope I helped!

Have a wonderful day ! ツ

~TheAnimeGirl ♡

In 2006, 65.2 million people subscribed to cable television. In 2013, that number had decreased to 54.2 million. Find the percent decrease in the number of cable TV subscribers from 2006 to 2013. Round to the nearest tenth of a percent.

Answers

Given :

In 2006, 65.2 million people subscribed to cable television.

In 2013, that number had decreased to 54.2 million.

To Find :

The percent decrease in the number of cable TV subscribers from 2006 to 2013.

Solution :

Decrease in the number of cable TV subscribers from 2006 to 2013 is :

[tex]Percetage\ Decrease = \dfrac{Decrease\ in \ price}{Initial\ price}\times 100\\\\Percetage\ Decrease = \dfrac{65.2-54.2}{65.2}\times 100\\\\Percetage\ Decrease = 16.87[/tex]

Therefore, percentage decrease is 16.87 %.

Zach filled 581 one-liter bottles with apple cider. He distributed the bottles to 4 stores. Each store received the same number of bottles. How many liter bottles did each of the stores receive? Were there any bottles left over?

a. 145 liter bottles (There were 2 bottles remaining)
b. 142 liter bottles (There were 2 bottles remaining)
c. 145 liter bottles (There was 1 bottle remaining)

Answers

Answer:

a. 145 liter bottles (There were 2 bottles remaining)

Step-by-step explanation:

From this question, the total number of bottles that Zach had to fill with apple cider is 581.

He has to distribute these bottles to 4 stores after filling

The question says each store received same number of bottles.

To get the number of bottles received by each store, we divide 581 by 4

= 581 / 4

= 145.25

Therefore each store gets 145 bottles each and there would be a remainder of 2 bottles

What is 20% of 680????

Answers

Answer:

136

Step-by-step explanation:

20% * 680

Cheers! :)

There are 11 books on a shelf. 4 of these books are new. The rest of them are used.

What is the ratio of all books on the shelf to used books?

What is the ratio of used books to new books?

Answers

Answer
11:4 and 4:7

hope this helps and have a wonderful day :)

The volume of one of the buildings in the downtown area is 589,824 cubic meters. The building is 8 times as tall as the radio tower on top of the building. The square base has a side that is 24 times 4 meters less than the height of the radio tower. How tall is the radio tower?

Answers

Answer:

10.2

Step-by-step explanation:

Look at picture, answer quick please

Answers

Answer:

The part of an atom where nearly whole mass is

concentrated is calledThe part of an atom where nearly whole mass is

concentrated is calledThe part of an atom where nearly whole mass is

concentrated is calledThe part of an atom where nearly whole mass is

concentrated is calledThe part of an atom where nearly whole mass is

concentrated is calledThe part of an atom where nearly whole mass is

concentrated is calledThe part of an atom where nearly whole mass is

concentrated is calledThe part of an atom where nearly whole mass is

concentrated is calledThe part of an atom where nearly whole mass is

concentrated is calledThe part of an atom where nearly whole mass is

concentrated is calledThe part of an atom where nearly whole mass is

concentrated is calledThe part of an atom where nearly whole mass is

concentrated is calledThe part of an atom where nearly whole mass is

concentrated is calledThe part of an atom where nearly whole mass is

concentrated is calledThe part of an atom where nearly whole mass is

concentrated is calledThe part of an atom where nearly whole mass is

concentrated is calledVThe part of an atom where nearly whole mass is

concentrated is calledThe part of an atom where nearly whole mass is

concentrated is calledThe part of an atom where nearly whole mass is

concentrated is called

Step-by-step explanation:

Answer:

d=0

d=0.5

d=1

d=1.5

d=2

d=2.5

Solve the system:
3x+6y=51
y=40-5x

Write down your solution here

Answers

Answer:

x=7 y=5

Step-by-step explanation:

3x+6(40-5x)=51

3x+240-30x=51

-27x+240=51

-27x=-189

27x=189

x=7

y=40-5(7)

y=40-35

y=5

X=7 y=5
You need to used the second equation and isolate either x or y. It’s your choice. Then, use that and substitute it in for the first equation. Then you will get an integer and substitute it back to the second equation.

Find the largest three-digit number that can be written in the form 3^m + 2^n, where m and n are positive integers.

Answers

Answer:

985

Step-by-step explanation:

[tex]let\ m=6[/tex]

[tex]3^{6}=729[/tex][tex]999-729=270[/tex]

[tex]2^{8}=256[/tex] and [tex]2^{9}=512[/tex] which would be to big of a number.

[tex]3^{6}+2^{8}=729+256=985[/tex]

Therefore the largest three-digit integer in this system is 985

India has a 12-foot board. How many 18-inch pieces can she cut from the board?

Answers

Answer:

Step-by-step explanation:

There are 12 inches in a foot

So for one full foot in inches you have just  1 foot with 6 inches remaining/ 1 foot with half a foot remaining.

Hope this helped!

Answer: 8 pieces.

Step-by-step explanation;

There is 12 inch in a foot, so they are 144 inches in 12 foot. If India cuts 18-inch pieces, she can cut 8 pieces. You can find this amount by dividing 144 inches into 18 inches, this will be eight pieces.

Be sure to show your work and solve for g:
g
+
6

3
=
31

Answers

28 + 6 = 34 and 34 - 3 = 31!!!!!!!

^^^^^^^^^^^^^^^^^^uuuuu

Answers

Answer:

Step-by-step explanation:

Top triangle:

The hash marks indicate congruence. So, x is congruent to 15 or x= 15

x+6= 21

The length of the sides of this triangle are 15,15, and 21.

Two sides are congruent so isosceles.

Bottom triangle:

The sum of the angles in a triangle is 180.

30+35+x=180

75+x=180

x=105

105> 90, so this is an obtuse triangle.

Answer:

Step-by-step explanation:

Top triangle

good luck God bless merry Christmas and happy new year and stay safe and good luck in life! God bless y’all! :)

Sole
x/5 = 10
1.x=50 2.x=2 3.x=15 4.x=5

Answers

the answer is 1.
( x = 50)

Using the Zero Product Property identify the solution set for (x + 3) (x + 8) = 0
a. -3, 8
b. -3, -8
c. 3, 8
d. 3, -8

Answers

The answer is b because negative plus a positive is 0 and 0*0 = 0

Write an equation to express the translation of y = |x| left 5 units. *

Answers

Answer:A translation is a function that moves every point a constant distance in a specified direction. A vertical translation is generally given by the equation y=f(x)+b y = f ( x ) + b .

Step-by-step explanation: y=f(x)+b y = f ( x ) + b .

On the 6th grade camping trip there are two adults for every 11 students what's the ratio of adults to students

Answers

the answer is 2:11 because yes that’s the ratio

The temperature outside is currently 10°F. It will fall at a constant rate of 3°F per hour. Which temperature will it be in 4 hours?
A
22°F
B
7°F
С
-2°F
D
-12°F

Answers

Answer:

The temperature in 4 hours = -2 °F

Thus, option (D) is true.

Step-by-step explanation:

We know that the slope-intercept form of the line equation is

[tex]y = mx+b[/tex]

where m is the rate of change or slope and b is the y-intercept

Let 'y' be the temperature Let 'x' be the time of the temperature in the hour

Given that the current temperature outside = 10°F.

Thus, the y-intercept = b = 10°F

Given that as the day went on, It will fall at a constant rate of 3°F per hour.

Thus, the slope or rate of change = -3°F

(The rate of change or slope is -3 because the temperature is reducing)

Thus, the rate of change = slope = m = -3

Thus, substituting m = -3 and b = 10 in the equation

[tex]y = mx+b[/tex]

[tex]y = -3x + 10[/tex]

Now, substituting x = 4 to determine the temperature after 4 hours.

y = -3(4) + 10

y = -12 + 12

y = -2 °F

Therefore, the temperature in 4 hours = -2 °F

Thus, option (D) is true.

Scenario: Does the age at which babies learn to crawl depend on the time of the year that the babies were born? Data were collected from parents who brought their babies into the University of Denver’s Infant Study Center to participate in one of a number of experiments between 1988 and 1991. Parents reported the birth month and the age in which their child first began to crawl. The resulting data were grouped by month of birth: January, May, and September.

Answers

The age for when babies learn to crawl is different for Januar,May, and September.. so I guess yes?

A set of n = 10 pairs of scores has ΣX = 25, ΣY = 30, and ΣXY = 74. What is the value of SP for these data?
a. 14
b. 24
c. -144
d. -1

Answers

I think it's B

Not 100% sure but I think

Using the table, give the percentage associated with each unit of standard deviation in the standard normal curve to the
nearest hundredth.
х
Area, A(x) x
Area, A(x)
0.2
0.4
0.6
0.8
1.0
1.2
1.4
1.6
1.8
2.0
0.0793
0.1554
0.2257
0.2881
0.3413
0.3849
0.4192
0.4452
0.4641
0.4772
2.2
2.4
2.6
2.8
3.0
3.2
3.4
3.6
3.8
4.0
0.4861
0.4918
0.4953
0.4974
0.4987
0.4993
0.4997
0.4998
0.4999
0.5000
Standard Deviation Percentage Area
-1 to 0
81.85 %
O to +1
34.13 %

Answers

Answer:

Using the table, give the percentage associated with each unit of standard deviation in the standard normal curve to the

nearest hundredth.

х

Area, A(x) x

Area, A(x)

0.2

0.4

0.6

0.8

1.0

1.2

1.4

1.6

1.8

2.0

0.0793

0.1554

0.2257

0.2881

0.3413

0.3849

0.4192

0.4452

0.4641

0.4772

2.2

2.4

2.6

2.8

3.0

3.2

3.4

3.6

3.8

4.0

0.4861

0.4918

0.4953

0.4974

0.4987

0.4993

0.4997

0.4998

0.4999

0.5000

Standard Deviation Percentage Area

-1 to 0

81.85 %

O to +1

34.13 %

Step-by-step explanation:

Using the table, give the percentage associated with each unit of standard deviation in the standard normal curve to the

nearest hundredth.

х

Area, A(x) x

Area, A(x)

0.2

0.4

0.6

0.8

1.0

1.2

1.4

1.6

1.8

2.0

0.0793

0.1554

0.2257

0.2881

0.3413

0.3849

0.4192

0.4452

0.4641

0.4772

2.2

2.4

2.6

2.8

3.0

3.2

3.4

3.6

3.8

4.0

0.4861

0.4918

0.4953

0.4974

0.4987

0.4993

0.4997

0.4998

0.4999

0.5000

Standard Deviation Percentage Area

-1 to 0

81.85 %

O to +1

34.13 %

Using the table, give the percentage associated with each unit of standard deviation in the standard normal curve to the

nearest hundredth.

х

Area, A(x) x

Area, A(x)

0.2

0.4

0.6

0.8

1.0

1.2

1.4

1.6

1.8

2.0

0.0793

0.1554

0.2257

0.2881

0.3413

0.3849

0.4192

0.4452

0.4641

0.4772

2.2

2.4

2.6

2.8

3.0

3.2

3.4

3.6

3.8

4.0

0.4861

0.4918

0.4953

0.4974

0.4987

0.4993

0.4997

0.4998

0.4999

0.5000

Standard Deviation Percentage Area

-1 to 0

81.85 %

O to +1

34.13 %

The percentages associated with each unit of standard deviation are all 0, since the standard normal curve is symmetric and the area under the curve for each interval of the same length and equidistant from the mean is equal.

What is standard deviation?

A standard deviation is a measure of how far apart the data is from the mean.

The table shows the area under the standard normal curve for different values of x, where x is the number of standard deviations from the mean.

To find the percentage associated with each unit of standard deviation, we can subtract the area from the table for the lower value of x from the area for the higher value of x, and round the result to the nearest hundredth.

For example, the percentage associated with one unit of standard deviation, from -1 to 0 or from 0 to +1, is:

Area from -1 to 0: 0.3413

Area from 0 to +1: 0.3413 (symmetric curve)

Percentage: 0.3413 - 0.3413 = 0 (rounded to nearest hundredth)

The percentage associated with two units of standard deviation, from -2 to 0 or from 0 to +2, is:

Area from -2 to 0: 0.4772

Area from 0 to +2: 0.4772 (symmetric curve)

Percentage: 0.4772 - 0.4772 = 0 (rounded to nearest hundredth)

Similarly, we can find the percentages associated with other units of standard deviation:

From -3 to 0 or from 0 to +3: 0.4987 - 0.4987 = 0

From -4 to 0 or from 0 to +4: 0.4999 - 0.4999 = 0

Therefore, because the standard normal curve is symmetric and the area under the curve for each interval of the same length and equidistant from the mean is equal, the percentages associated with each unit of standard deviation are all zero.

For more details regarding standard deviation, visit:

https://brainly.com/question/23907081

#SPJ7

What is Two-thirds divided by StartFraction 4 Over 5 EndFraction?

A fraction bar labeled 1. Under the 1 are 5 boxes labeled one-fifth. Under the 5 boxes are 3 boxes containing one-third. Under the 3 boxes are 15 boxes labeled StartFraction 1 Over 15 EndFraction.

Answers

Answer:

[tex]\dfrac{5}{6}[/tex]

Step-by-step explanation:

The problem says Two-thirds divided by StartFraction 4 Over 5 EndFraction.

Two thirds means = 2/3

It means,

[tex]x=\dfrac{2}{3}\ \text{divided by}\ \dfrac{4}{5}[/tex]

or

[tex]x=\dfrac{\dfrac{2}{3}}{\dfrac{4}{5}}\\\\=\dfrac{2}{3}\times \dfrac{5}{4}\\\\=\dfrac{5}{6}[/tex]

Hence, the required answer is [tex]\dfrac{5}{6}[/tex].

Here are the prices for cans of juice that are the same brand and the same size at different stores. Which store offers the best deal?

Store X: 4 cans for $2.48

Store Y: 5 cans for $3.00

Store Z: 59 cents per can

Answers

Answer:

Step-by-step explanation:

Maybe its z or b

Answer:

proabky aldi or kroger find the unt rate by dividing in the cacuulator and compare them.

Step-by-step explanation:

72 marble and 75% are red

Answers

uh what do you mean by this?

Which of the following most likely causes the rate of a chemical reaction to increase? (5 points)

a
Decreasing the reaction temperature

b
Slowing down the reacting molecules

c
Taking away heat from the reaction

d
Adding heat to the reaction

Answers

Answer:

i think adding heat to reaction will change the rate of the reaction

Other Questions
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