Has the marrying age of a man changed over the years? the united states bureau of the census takes a formal count of everyone in the u. S. Every 10 years and has provided the following data that gives the median age of an american man at the time of his first marriage. Year 1910 1920 1930 1940 1950 1960 1970 1980 1990 2000 median age 25. 1 24. 6 24. 3 24. 3 22. 8 22. 8 23. 2 24. 7 26. 1 26. 8 determine the average rate of change in median age per year from 1950 to 1990.

Answers

Answer 1

The average rate of change in median age per year from 1950 to 1990 is 0.085 years of age per year.

The median is the mid-value in a set of data. to find it we first arrange the data set from smallest to largest, then pick the middle value which divides the data set in half.

From the given table,

The median age at the time of the first marriage in 1950 = 22.8 years,

While the median age in 1990 = 26.1 years,

Hence, the average rate of change in median age per year from 1950 to 1990

= (22.8-26.1)/(1950-1990)

= (-3.3)/(-40)

= 0.0825 years of age per year.

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Related Questions

If Jodie works on the computer for 6 hours every 2 days how many hours will she work on the computer in 14 days?

Answers

[tex]\begin{array}{ccll} hours&days\\ \cline{1-2} 6 & 2\\ x& 14 \end{array} \implies \cfrac{6}{x}~~=~~\cfrac{2}{14} \implies \cfrac{6}{x}=\cfrac{1}{7}\implies 42=x[/tex]

Answer:  42 hours

add 6 every 2 days

Can someone please help me

Answers

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The expressions that are simplified are:

[tex]n^{4}[/tex]

[tex]\frac{1}{n^{-5}}[/tex]

[tex]\frac{1}{n^3}[/tex]

Options A, B, and E are the correct answer.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

[tex]n^{4}[/tex]

This is already simplified.

[tex]\frac{1}{n^{-5}}[/tex]

This is already simplified.

[tex]n^6 . n^{-8}[/tex]

= [tex]n^{6 - 8}[/tex]

= [tex]n^{-2}[/tex]

[tex]n^7 . p^8[/tex]

= [tex]n^{7 + 8}[/tex]

= [tex]n^{15}[/tex]

[tex]\frac{1}{n^3}[/tex]

This is already in simplified form.

Thus,

The expressions that are simplified are:

[tex]n^{4}[/tex]

[tex]\frac{1}{n^{-5}}[/tex]

[tex]\frac{1}{n^3}[/tex]

Options A, B, and E are the correct answer.

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A store is having a 12-hour sale. The total number of shoppers who have entered the store thours after it begins is modeled by the function S defined by [tex]S(t)=0.5 t^4-16 t^3+144 t^2[/tex] for [tex]0 \leq t \leq 12[/tex]. At time [tex]t=0[/tex], when the sale begins, there are no shoppers in the store. The rate at which shopper's leave the store, measured in shoppers per hour, is modeled by the function [tex]L[/tex] defined by [tex]L(t)=-80+\frac{4400}{t^2-14 t+55}[/tex] for [tex]0 \leq t \leq 12[/tex]. According to the model, how many shoppers are in the store at the end of the sale (time [tex]t=12[/tex] )? Give your answer to the nearest whole number.

Answers

At the end of the sale, there were a total of 196 customers in the store for the given function.

What is a function?

The earliest known attempt to the notion of function may be traced back to works of Persian mathematicians Al-Biruni and Sharaf al-Din al-Tusi. Functions were initially the idealization of how a variable quantity depended on another quantity.

The total number of shoppers in the store is the number of shoppers present at the start of the sale Plus the number of shoppers who entered the store minus the number of shoppers who left.

Given that there were no shoppers in the store before the sale began, the number of shoppers in the store at the start of the sale is 0.

It is assumed that the number of customers who have entered the store is represented by S(t)=0.5t⁴-16t³+144t².

So, at t=12, the number of shoppers in the store is S(12)=

0.5(12)⁴-16(12)³+144(12)²

S(12)=3456 shoppers.

L(t)= -80+(4400/t²-14t+55)

At t=12,

[tex]\int\limits^{12}_0 {L(t)} \, dt[/tex]=[tex]\int\limits^{12}_0[/tex]( -80+(4400/t²-14t+55))dt

At the end of the sale, there were a total of 196 customers in the store.

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a 36 year old woman on chronic cyclosporine treatment for bilateral lung transplantation visits the emergency department complaining of extreme headache, nausea and vomiting. her exam is notable for bp 239/165, normal cardiac exam, bibasilar pulmonary rales, and 1 lower extremity edema. ekg showed asymmetric inverted t-waves in i, avl, and v4-6. in an effort to acutely control her blood pressure, which of the following is true?

Answers

The best treatment for this patient's acute blood pressure control is to administer an intravenous (IV) antihypertensive medication such as labetalol or nitroprusside. Additionally, it is important to assess for underlying causes of her elevated blood pressure such as infection, kidney disease, or heart failure.

What is blood pressure?
Blood pressure
(BP) is indeed the force exerted by moving blood against blood vessel walls. The heart's action of trying to pump blood through the blood vessels is largely responsible for this pressure. The pressure in the major arteries is meant when the term "blood pressure" is used without qualification. Systolic pressure, or the highest pressure during one heartbeat, is typically expressed as the ratio of diastolic pressure, or the lowest pressure between two heartbeats, in blood pressure measurements. It is expressed as a millimetre of mercury (mmHg) just above atmospheric pressure in the immediate vicinity. Along with respiratory rate, pulse rate, oxygen levels, and body temperature, blood pressure is among the vital signs that medical professionals consider when assessing a patient's health.

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A. Ue Pythagora’ Theorem to find the altitude of the triangle hown. B. Write the trigonometric ratio for a 60° angle. C. Write the trigonometric ratio for a 30° angle

Answers

The Trigonometric ratios are:

P/H = Sinθ

B/H = Cosθ

P/B = Tanθ

H/P = Cosecθ

H/B = Secθ

B/P = Cotθ

Where,

'P' represents the perpendicular

'B' represents the base

'H' = represents the hypotenuse

P/H = Sinθ

B/H = Cosθ

P/B = Tanθ

A. As the values of p, b or h are not given.

Pythagoras Theorem states that:

h² = p² + b² or h = [tex]\sqrt{p^2 + b^2}[/tex]

Altitude of a triangle is usually given by the perpendicular,

So,

h² = p² + b²

h² - b² = p²

p² = h² - b²

p  = [tex]\sqrt{h^2 - b^2}[/tex]

B. The trigonometric ratios for θ = 60°

Sin 60 = √3/2

Cos 60 = 1/2

Tan 60 = √3

C. The trigonometric ratios for θ = 30°

Sin 30 = 1/2

Cos 30 = √3/2

Tan 30 = 1/√3

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Please answer this ASAP.

Answers

The coordinates of point D on the given line that intercepts the y-axis are: (0, 15/2).

What are the Coordinates of the Y-intercept of a Line?

The coordinates of the point where a line intercepts the y-axis are the coordinates of the y-intercept of the line.

In the image given, a line to intercept the y-axis at point D. Point D is the y-intercept of the line. The coordinates of point D are the coordinates of the y-intercept of the line.

Step 1: Find the slope of the line using the two points, (-6, 0) and (2, 10)

Slope (m) = change in y / change in x = (10 - 0) / (2 -(-6))

Slope (m) = 10/8

m = 5/4

Step 2: Find the y-intercept of the line by substituting (x, y) = (2, 10) and m = 5/4 into y = mx + b

10 = 5/4(2) + b

10 = 5/2 + b

10 - 5/2 = b

15/2 = b

b = 15/2

The coordinates of the y-intercept is (0, 15/2). Therefore, the coordinates of point D are (0, 15/2).

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A line has a slope of 9 and includes the points (

5,

6) and (p,3). What is the value of p?

Answers

Answer:The value of p is -9.

Step-by-step explanation:

m=(y2-y1)/(x2-x1)m=(p-3)/(9-6)m=(p-3)/3-4=(p-3)/3-4*3=p-3-12=p-3p=-12+3p=-9

What is the answer?? please and thank you

Answers

Answer:

the answer is no

Step-by-step explanation:

Select the values that make the inequality h<3h<3 true. (Numbers written in order from least to greatest going across.) -5 -2 0 2 2.9 2.99 2.999 3 3.001 3.01 3.1 4 6 8 11

Answers

The values that make the inequality, h < 3h < 3, true are the values of h in the range 0 < h < 1. The values -5, -2, 0, 2, 2.9, 2.99, 2.999, 3, 3.001, 3.01, 3.1, 4, 6, 8, 11, are larger or smaller than the values make the inequality true.

What is an inequality in mathematics?

An is a comparison between two expressions, using non equal expressions, such as ≥, >, ≠,  <, or ≤ symbols.

The specified inequality is; h < 3·h < 3

When h < 3·h, we get;

h is a positive number larger than 0, such that we get;

When h < 0, 3·h < h

Therefore; h > 0

The inequality, 3·h < 3, indicates;

3·h < 3

h < 3/3 = 1

h < 1

Which indicates that we get;

0 < h < 1

Therefore, non of the values make the inequality, h < 3·h < 3

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-7(8x + 5) = 5x+10
Solve for x simplify
(No solution, Infinitely many solutions, One solution)

Answers

The equation -7(8x + 5) = 5x+10 has one solution of x which satisfies the equation. The solution is x = -45/61.

What is solution of system of equation?

A solution to a system of equations is a set of values for the variable that satisfy all the equations simultaneously. In order to solve a system of equations, one must find all the sets of values of the variables that constitutes solutions of the system.

According to the given question:

Given equations is -7(8x + 5) = 5x+10

Simplifying both sides to get value of x

-7(8x + 5) = 5x+10

-56x - 35 = 5x + 10

-61x = 45

x = -45/61

Therefore x has one solution which is -45/61

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Suppose that a customer is purchasing a car. He conducts an experiment in which he puts 10 gallons of gas in the car and drives it until it runs out of gas. He conducts this experiment 15 times on each car and records the number of miles driven.

Sample Mean car 1: 250.3 mi/ 10 gal
Sample mean car 2: 246.1 mi/10 gal

Question: Find the medians for Car 2 and Car 2

Answers

Answers in bold

Median of car 1:  249

Median of car 2:  251

====================================================

Explanation:

This is the data set for car 1

[tex]\begin{array}{|c|c|c|c|c|} \cline{1-5}202 & 247 & 241 & 223 & 246\\\cline{1-5}253 & 271 & 241 & 291 & 249\\\cline{1-5}259 & 257 & 261 & 246 & 268\\\cline{1-5}\end{array}[/tex]

Which when written out as a single long line, we have this:

202, 247, 241, 223, 246, 253, 271, 241, 291, 249, 259, 257, 261, 246, 268

Sort those values from smallest to largest to get this set

202, 223, 241, 241, 246, 246, 247, 249, 253, 257, 259, 261, 268, 271, 291

There are n = 15 items in that set.

n/2 = 15/2 = 7.5 which rounds to 8

The middle-most item, aka median, is in slot 8.

There are 7 items below the median, and 7 items above it. Giving us 7+1+7 = 15 items total.

Start at "202" and count 8 slots to the right until you arrive at 249 which is the median of the car 1 data set. Make sure you are looking at the sorted data set.

Follow similar steps for the car 2 data set. You should get 251 as the median of the car 2 data set.

In the figure below, k Il and m || n. Find the values of x and z.
A

Answers

Answer:

z = 36

x = 120

Step-by-step explanation:

On a number line, point d is at -6, and point e is at 8. point f lies between points d and e. if is , where does point f lie on the number line? point f is at on the number line.

Answers

The point F lies on 4.5 in the number line.

What is the number line?

The number line is a One dimensional representation of point referring by a number only.

We know that if a point divides a line joining the points at x, y in the number line respectively in m:n ratio then that point lies on

= (my+nx)/(m+n) in the number line.

Here in the given problem that,

Point D lies on -6 in the number lin

Point E lies on 8 in the number line

And F lies between D and E points and DE:EF = 3:1

So the point F clearly divides the staright line DE joining the point D at -6 and E at 8 in 3:1 ratio.

So the point F lies on = (1*(-6)+3*8)/(3+1) = (-6+24)/4 = 18/4 = 4.5

Hence, the point F lies on 4.5 in the number line.

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30 plus 50 written as 2 factors

Answers

The expression 30 _ 50 can be written as 2 factors as: 5(6 + 10).

What is a Factor?

A factor, in mathematics, can be described as an integer that is a divisor of another integer that will produce a value it can be multiplied with to can that same integer it divides.

For example, if m/n = a, and (m)(a) = n, then m and n are factors.

Given the expression, 30 + 50, we can write this expression as product of factors as shown below:

5 into 30 is 6

5 into 50 is 10.

Therefore:

5(6 + 10)

Therefore, the two factors of the expression, 30 + 50 are written as: 5(6 + 10).

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Add these equations

-2x+4y= 17
3x-10y= -3​

Answers

Answer:

x - 6y = 14

Step-by-step explanation:

Add the like terms (x's and y's and constants):

 -2x+4y= 17

+ (3x-10y= -3​)

   x - 6y = 14

PLEASE HELP ME
What is the y-intercept of this line?
I keep getting confused someone please help me and explain it better to me

Answers

Answer:

2

Step-by-step explanation:

The y-intercept is the point at which the graph crosses the y-axis.

(I have marked it in blue on the attached graph).

From inspection of the given graph, the line crosses the y-axis at point (0, 2). So the y-intercept is 2.

7. A tour guide charges $28 to take four people on a tour. How much does the tour guide charge per person?​

Answers

Answer: $7

Step-by-step explanation:

We know that $28 for four people.

So we take 28 divided by 4 and we get $7 per people


What is the sum of the infinite geometric series?

Answers

first of all, let's find the common ratio in this geometric sequence, by simply dividing a any of the terms by the term right behind it, hmmm say -12 and 16

[tex]16~~,~~-12~~,~~9~~,~~-\cfrac{27}{4}~\hfill \stackrel{\textit{\LARGE common ratio}}{\cfrac{-12}{16}\implies -\cfrac{3}{4}} \\\\[-0.35em] ~\dotfill\\\\ \qquad \qquad \textit{sum of an infinite geometric sequence} \\\\ \displaystyle S=\sum\limits_{i=0}^{\infty}\ a_1\cdot r^i\implies S=\cfrac{a_1}{1-r}\quad \begin{cases} a_1=\textit{first term}\\ r=\textit{common ratio}\\ \qquad -1 < r < 1\\[-0.5em] \hrulefill\\ a_1=16\\[1em] r=-\frac{3}{4} \end{cases}[/tex]

[tex]S=\cfrac{16}{ ~~ 1-\left( -\frac{3}{4} \right) ~~ }\implies S=\cfrac{16}{ ~~ 1 + \frac{3}{4} ~~ }\implies S=\cfrac{16}{~~ \frac{ 7}{ 4} ~~}\implies S=\cfrac{64}{7}[/tex]

Find only the margin of error to construct a 98% confidence interval for p1 - P2. Assume the samples are random and independent. Do not construct a confidence interval. Sample statistics: nâ = 1000, x1 = 250, and n2 = 1200, x2 = 195

Answers

The required margin of error construct a 98% confidence interval for p1 - P2 is 0.0403.

What is margin of error?

Margin of errors, in statistics, is the level of blunder in results got from irregular examining overviews. A higher wiggle room in measurements shows less probability of depending on the consequences of a review or survey, for example the certainty on the outcomes will be lower to address a populace.

According to question:

given data

 n1 =1 000   x1 = 250

pˆ1 = x1n1 = 2501000 = 0.250

n2 = 1200    x2 = 195

pˆ2 = x2n2 = 1951200 = 0.1625

We have given confidence interval ,

98% ci for p1−p2.

Then,

α = 1 - 0.98 = 0.02

[tex]Z_{\alpha /2}[/tex] = [tex]Z_{0.01}[/tex] = 2.326

Again,

E = [tex]Z\sqrt{\frac{p1(1-p1)}{n1}+ \frac{p2(1-p2)}{n2} }[/tex]

E = [tex]2.326\sqrt{\frac{0.250(1-0.250)}{1000}+ \frac{0.1625(1-0.1625)}{1200} }[/tex]

E = 0.0403

Thus, required margin of error is 0.0403.

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At a football stadium, 5% of the fans in attendance were teenagers. If there were 340 teenagers at the football stadium, what was the total number of people at the stadium?.

Answers

The total number of people at the stadium was 6800 people .

A Percent in mathematics is defined as a number or ratio that is expressed as a fraction of 100 , it is denoted by sign "%" .

For Example : 2% is = 2/100   .

In the question ,

it is given that ,

percent of teenagers fans in the stadium is = 5%

number of teenagers present at the football stadium is = 340

which means 5% represents 340 people ,

So , 1% will be 340/5 = 68 people .

the total percent of people present in the stadium is = 100% ,

multiplying both sides by 100 ,

we get ,

So , 100%  = 68 × 100 = 6800 people

Therefore , The total attendance at the football stadium was 6800 people .

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The F distribution's curve is positively skewed.
T/F

Answers

Answer: True

Step-by-step explanation:

-The f-distribution curve is positively skewed towards the right with a range of 0 and ∞

The value of F is always positive or zero. It never has negative values.

Which function matches the graph?
A. f(x)=(x + 3)(x - 5)(x + 7)²(x - 2)²
B. f(x) = (x - 3)²(x + 5)²(x-7)(x + 2)
C. f(x) = (x - 3)(x + 5)(x - 7)²(x + 2)²
D. f(x) = (x - 3)²(x + 5)(x-7)(x + 2)²
E. f(x) = (x + 3)²(x - 5)(x-7)²(x + 2)

Answers

Answer:

Choice B

Step-by-step explanation:

The graph crosses the xy-plane at the following places for x:

x = -5

x = -2

x = 3

x = 7

Look at choice B.

Setting (x - 3)^2, (x + 5)^2, (x - 7) and (x + 2) to zero and solving for x leads to the crossing locations on the xy-plane as shown on the graph.

The ale tax on a car that old for $13,500 i $910. At thi rate, how much higher i the tax on a car that ell for $16,500

Answers

The tax on a car that sells for $16,500 at the rate of  6.7%  is $195.5 higher.

What is the percentage?

A percentage is a figure or ratio stated as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent symbol, "%," is frequently used to indicate it. A % is a number without dimensions and without a standard measurement.

We have,

First car price is  =  $13,500

and tax of the first car is = $910

Second car price is  =  $16,500

and tax of the second car is = ?

so,

 $13,500 -----    100,

  $910      -----    x

x = 910 * 100 / 13500

x =  6.7

therefore, the rate of tax is 6.7%

so, we will calculate the tax for the second car,

$16,500 -----    100,

    y        -----    6.7

y = 6.7 * 16,500 / 100

y = $1105.5

difference of tax price between two cars = $1105.5 - $910 = $195.5

Hence, the tax on a car that sells for $16,500 at the rate of  6.7%  is $195.5 higher.

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Louis can bake 60 muffins in 1 hour. A large company ordered 300 muffins. How many hours will it take for Louis to bake enough muffins to complete the order?
Group of answer choices

Answers

It will take 5 hour. 300 divided by 60 is 5

A tennis ball is a sphere with a radius of 1.56 inches. A squash ball is also
a sphere with a radius of 0.78 inches. Select all the true statements.

The volume of the tennis ball is exactly 2 times the volume of the squash
ball.

The volume of the tennis ball is approximately 3 times the volume of the
squash ball.

The volume of both the tennis ball and squash ball is proportionate to the
scale factor of the radii.

The scale factor of the volume of the tennis ball to the volume of the
squash ball is approximately 8.

The volume of the tennis ball is 5.067 cubic inches and the volume of the
squash ball is about 0.63 cubic inches.

Answers

The two true statements about these are,

The volume of both the tennis ball and squash ball is proportionate to the

the scale factor of the radii.

The scale factor of the volume of the tennis ball to the volume of the

squash ball is approximately 8.


What is a sphere?

In geometry, a sphere is a three-dimensional solid figure, which is round in shape.

The surface area is 4πr².

The volume is (4/3)πr³.

The diameter is 2×radius of the sphere.

Given, A tennis ball is a sphere with a radius of 1.56 inches. A squash ball is also a sphere with a radius of 0.78 inches.

So, The volume of the tennis ball is (4/3)π(1.56)³ = 16 cubic inches.

The volume of the squash ball is (4/3)π(0.78)³ = 2 cubic inches.

The volume of both the tennis ball and squash ball is proportionate to the

the scale factor of the radii.

The scale factor of the volume of the tennis ball to the volume of the

squash ball is approximately 8.

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Please Help me With this ASAP (20 Points)

Answers

Answer:

200*1-0.95-0.95+0.9025

200*1-1.9+0.9025

200*0.0025

0.5

Consider the scatter plot, its line of best fit, and the corresponding residual plot of each data set. State whether a linear model is appropriate for the data and justify your answer.
Linear regression equation: y = 14.08x - 163.13, r = 0.9746

Answers

No, a linear model is not appropriate for the data because; the residual plot indicates that the residuals are far off the horizontal.

Is a linear model appropriate for the data given?

It follows from the task content that it is required to determine if a linear model is appropriate for the given data.

By observation of the scatter plot and the line of best fit; it is evident that the residuals are large (meaning that actually values are far off the predicted values).

Conclusively, the residual plot is a confirmation of the inappropriateness of a linear model for the given data. This follows from the fact that the residuals are large as evident in the how far the residual plot points are to the horizontal.

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An electronic manufacturer determine that the profit P (in dollar) obtained by producing x unit of a DVD player and y unit of a DVD recorder i approximated by the model P(x, y) = 8x 10y − (0. 001)(x2 xy y2) − 10, 000. Find the production level that a maximum profit. What i the maximum profit?

Answers

The production level that a maximum profit is   186000 and the maximum profit will at the points of (200, -4000) , under the concept of absolute maximum value.

The  P(x, y) = 8x+ 10y − (0. 001)(x²+ xy+ y²) − 10, 000, the first partial differentiate  of the  given equation with respect to x and  y,

Px= ( 8x+ 10y − (0. 001)(x²+ xy+ y²) − 10, 000) = 8-0.001(2x-y) ....2

Py= 8x+ 10y − (0. 001)(x2+ xy+ y2) − 10, 000)  = 10-0.001(x-2y) ... 3

Considering the above  equation to  be equal to  zero  :

=>8-0.001(2x-y) =0 =>0.001(2x-y) =8 .....4

=>10-0.001(x-2y) =0 =>0.001(x-2y) =  10 ...5

Solving the equations 4 and 5 we get the lues of x and  y  we get are :

x= 2000, and y = -4000 , Now the partial differentiate for the equations 2  ad 3  are with respect to x and y :

pxx(x,y)=-0.002

pyy(x,y)=  0.002

pxy(x,y) =-1

The discriminant of the function wil  be  at (2000,-4000):

D = 0.002*-0.002 -(-1)^2 =-1.0004 ,here D <0,  so the  critical values (200, -4000) reaches the maximum value .So the  production level will be :

P(2000, -4000) = 8x+ 10y − (0. 001)(x2+ xy+ y2) − 10, 000 = 186000

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show that if f is a function from s to t, where s and t are finite sets with |s| > |t|, then there are elements s1 and s2 in s such that f(s1)

Answers

T|=|S|⟹ there is bijection F:S→T.

What are bijection function?

A bijection is a function between the elements of two sets in mathematics that is also referred to as a one-to-one correspondence, an invertible function, or a bijective function.

In this function, each element of one set is paired with exactly one element of the other set, and each element of the second set is paired with exactly one element of the first set.

No elements are left unpaired. A one-to-one (injective) and onto (surjective) mapping of a set X to a set Y is known as a bijective function, or f: X Y in mathematics.

One-to-one function (an injective function; a bijection from the set X to the set Y has an inverse function from Y to X) should not be confused with one-to-one correspondence. X and Y must be finite if.

According to our question-

The function f:ST |S||T| has an injective and not a surjective nature.

Assume an injective function exists: g:TS|T||S|. |T|=|S|

(this follow from the Cantor-Bernstein theorem).

|T|=|S|⟹ F:S:T has a bijection.

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Solve the inequality. 2x + 13 < 35

Answers

Answer:

x < 11

Step-by-step explanation:

there you go :)

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