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.





What does a rate of change of zero mean in this situation?
a.
The median age of a man at the time of his first marriage is, on the average, constant.
b.
The median age of a man at the time of his first marriage is, on the average, decreasing.
c.
The median age of a man at the time of his first marriage is, on the average, increasing.
d.
The rate of change cannot be zero in this situation.


ITs not D so dont say it if you dont know the answer dont reply i put up this post for those who need to get the answer because all other post are wrong.

The insurance company would pay a total of $101,000 for the medical expenses resulting from the accident.

In this scenario, Sally's car insurance policy has coverage limits of 100/300/50. These numbers represent the maximum amount the insurance company will pay for different types of damages in an accident. Let's break down what these numbers mean in the context of the collision.

The first number, 100, represents the maximum amount (in thousands of dollars) that Sally's insurance company will pay for bodily injury per person. Since Sally sustained $150,000 in injuries and her passenger sustained $1,000 in injuries, the insurance company will cover Sally's medical expenses up to the policy limit, which is $100,000.

The second number, 300, represents the maximum amount (in thousands of dollars) the insurance company will pay for bodily injury per accident. In this case, both Sally and her passenger were injured, so the insurance company will cover their combined medical expenses up to the policy limit, which is $300,000.

The third number, 50, represents the maximum amount (in thousands of dollars) the insurance company will pay for property damage per accident. However, since the question only mentions injuries and not property damage, we can disregard this number for now.

Therefore, the total medical expenses the insurance company would pay for this accident would be $100,000 for Sally's injuries and $1,000 for her passenger's injuries, totaling $101,000.

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The probability density function for U is: f_U(u) = (4/(1+u)^3) * e^-(1+u)/2, u > 0

The joint distribution for the length of life of two different types of components operating in a system is given by f(y_1, y_2) = {(1/8)y_1 e^-(y_1 + y_2)/2, y_1 > 0, y_2 > 0, 0, elsewhere. We are asked to find the probability density function for U = Y_2/Y_1.

To find the probability density function for U, we first need to find the joint distribution of U and Y_1. We can do this by using the change of variables formula:

f_U,Y_1(u, y_1) = f_Y_1,Y_2(y_1, uy_1) * |J|

where J is the Jacobian determinant of the transformation.

The Jacobian determinant is given by:

J = |∂(y_1, uy_1)/∂(u, y_1)| = |y_1|

So, the joint distribution of U and Y_1 is:

f_U,Y_1(u, y_1) = (1/8)y_1 e^-(y_1 + uy_1)/2 * |y_1| = (1/8)y_1^2 e^-(1+u)y_1/2

Next, we need to find the marginal distribution of U by integrating out Y_1:

f_U(u) = ∫f_U,Y_1(u, y_1) dy_1 = (1/8)∫y_1^2 e^-(1+u)y_1/2 dy_1

This integral can be solved using integration by parts. The final result is:

f_U(u) = (4/(1+u)^3) * e^-(1+u)/2

So, the probability density function for U is:

f_U(u) = (4/(1+u)^3) * e^-(1+u)/2, u > 0

This is the final answer.

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Answer:

\(Average = 7.5\ mins\)

Step-by-step explanation:

Given

\(Time = 90\ mins\) i.e. 8am to 9:30am

\(Total\ Passengers = 360\)

\(Average\ Passengers= 30\)

Required

Determine the average waiting time

The average waiting time is calculated as:

\(Average = \frac{Average \ Passengers}{Total\ Passengers} * Time\)

\(Average = \frac{30}{360} * 90\ mins\)

\(Average = \frac{30* 90\ mins}{360}\)

\(Average = \frac{2700\ mins}{360}\)

\(Average = 7.5\ mins\)

Hence, the average waiting time is 7.5 minutes

Answer:

L1 = 113°

L4 = 67°

Step-by-step explanation:

L1 + L2 = 180°

L1 = 180° - L2

L1 = 180° - 67°

L1 = 113°

L3 + L4 = 180°

L4 = 180° - L3

L4 = 180° - 113°

L4 = 67°

Proof-

Combination of L1,L2,L3 and L4 should be 360°

113°+67°+113°+67° = 360°

I'll let h = ax, so the limit is

\(\displaystyle\lim_{h\to0}\frac{(x+h)^2-2(x+h)+1-(x^2-2x+1)}h\)

i.e. the derivative of \(x^2-2x+1\).

Expand the numerator to see several terms that get eliminated:

\((x+h)^2-2(x+h)+1-(x^2-2x+1)=x^2+2xh+h^2-2x-2h+1-x^2+2x-1=2xh+h^2-2h\)

So we have

\(\displaystyle\lim_{h\to0}\frac{2xh+h^2-2h}h\)

Since h ≠ 0 (because it is approaching 0 but never actually reaching 0), we can cancel the factor of h in both numerator and denominator, then plug in h = 0:

\(\displaystyle\lim_{h\to0}(2x+h-2)=\boxed{2x-2}\)

Answer:

2x-2

Step-by-step explanation:

lim ax goes to 0   ( x+ ax)^2 -2 ( x+ax) +1 - ( x^2 -2x+1)

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

                                                    ax

Simplify the numerator  by foiling the first term and distributing the minus signs

 x^2+ 2ax^2 + a^2 x^2 -2x-2ax +1 -  x^2 +2x-1

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

                   ax

Combine like terms

2ax^2 + a^2 x^2 -2ax  

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

                   ax

Factor out ax

ax( 2x + ax -2)

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

     ax

Cancel ax

2x + ax -2

Now take the limit

lim ax goes to 0  ( 2x + ax -2)

                                  2x +0-2

                                   2x -2

Answer:

7/3

Step-by-step explanation:

To solve use: \(m=\frac{y_{2} -y_{1} }{x_{2}-x_{1} }\)

(-1,5) and (-7,-9)

x1  y1       x2  y2

m= \(\frac{-9-5}{-7-(-1)}\)        *When multiplying or dividing a negative by a negative you get a positive*

Solve:

m= \(\frac{-14}{-6}\) or \(\frac{-7}{-3}\)--------> \(\frac{7}{3}\)

Hope this helps!

Answer:

x=18

Step-by-step explanation:

since x+24 is in parenthesis, we need to distribute 1/2 to all the parts inside the parenthesis.

1/2 * x = 1/2x

1/2 * 24= 12

1/2x+12=21

subtract 12 from both sides

1/2x= 9

divide 1/2 from both sides

x=18

so your answer would be x=18

Hi there!  

»»————-　★　————-««

I believe your answer is:  

\(\frac{1}{2}(x+24)=21 \rightarrow \frac{1}{2}x + 12 = 21\\\\x = 18\)

»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

\(\frac{1}{2}(x+24) = 21\\\rule{150}{0.5}\\\\\rightarrow \frac{1}{2}*x = \frac{1}{2} \\\\\rightarrow \frac{1}{2} * 24 = 12\\\\\rightarrow \frac{1}{2}x + 12 = 21\\\\\rightarrow \frac{1}{2}x + 12 - 12 = 21 - 12\\\\\rightarrow \frac{1}{2}x = 9\\\\\rightarrow (\frac{1}{2}x)2 = 9 * 2\\\\\rightarrow\boxed{x = 18}\)

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

x = 33°

Step-by-step explanation:

57 + 90 + x = 180

147 + x = 180

x = 33

If one angle is 67° and the other is 52°, the other two angles are equal and the angle has a value of 120°.

A place where two lines converge creates an angle. They are quantified in degrees and are denoted by the symbol °. Four essential types are reflex, acute, right, and obtuse angles. A circle has 360 degrees. One terminal exists when two rays (half-lines) are merged form an angle. The rays are referred to as the angle's sides, occasionally as its legs, and occasionally as its arms, while the latter is referred to as the angle's vertex. The place where all points of an angle converge is known as the vertex.

given

total interior angles = 360°

m/C = 67° , m/D = 52°

67° +  52° + 2x = 360 °

119 + 2x = 360 °

2x =  360 ° - 119°

x = 120°

if one angle is 67° and the other is 52°, the other two angles are equal and the angle has a value of 120°.

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In ACDE, mzC = 67° and mzD = 52°. Which statement about the sides of ACDE must be true?

DE > CD > EC

DE > EC > CD

EC > CD > DE

EC > DE > CD

CD > DE > EC

CD > EC > DE

Answer:

2a²+8a+7

Step-by-step explanation:

Answer:

41.8°

Step-by-step explanation:

Opposite angles are equal.

Answer:

41.8 degrees

Step-by-step explanation:

They are vertical angles, meaning they are the same, just opposite one another.

Answer:

1 23/28

Step-by-step explanation:

turn both of your numbers into fractions: 17/3 and 28/9

to turn you equation into something that you can simplify, flip one of your fractions and that will turn the division sign into a multiplication sign:

17/3 x 9/28

you can simplify this by simplifying 9 to 3 and 3 to 1.

this means you now have 17 x 3/28

multiply 17 and 3 together since they are the numerators, you should get 51/28

now turn this into a mixed fraction: 1 23/28

The correct answers are A) 7cm, C) 9cm and D) 12cm

The process of changing a given quantity that is expressed in one unit of measurement to another unit of measurement that is equivalent in value is referred to as conversion of units.

If every 2 cm on a scale drawing is equal to 7 feet in real life, then we can use proportions to find out which lines on the drawing would be greater than 21 feet in real life.

Let x be the length of a line on the scale drawing in centimeters. Then, we can set up the following proportion:

⇒  \(\frac{2cm}{7 feet} = \frac{x cm }{yfeet}\)

where y is the length of the line in real life. Solving for y, we get:

⇒  \(y = \frac{7 feet} {2cm} *x\)  

⇒  \(y = 3.5 x feet\)

If we put x = 2cm (given) then, y = 7 feet

For y = 21 feet, the value of x = 6cm.

Therefore, any line on the scale drawing that is greater than 6cm in length corresponds to a length greater than 21 feet in real life.

So, the lines on the drawing that are greater than 21 feet in real life are:

A) 7cm, C) 9cm, D) 12cm

Therefore, the correct answers are A) 7cm, C) 9cm and D) 12cm

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Answer:

(3,6)

Step-by-step explanation: it is a reflection across the x-axis which is positive (3,6)

Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.

Algebra is the branch of mathematics that deals with numbers and values which are represented with letters and symbols.

Sometimes, we do not want to mention a particular number, we can represent the number by a letter or a suitable symbol. This approach is algebraic.

For example, d + d = 2d

This is an example of an algebraic expressionns.

Given the algebraic expressions,

\(\frac{1}{2}x + 4 \\ x + 6 - \frac{1}{2}x - 2\)

Substituting 2 for x in the first expression gives:

(1/2 × 2) + 4

1 + 4

5

Substituting 2 for x in the second expression gives:

2 + 6 - (1/2 ×2) - 2

8 - 1 - 2

8 - 3

5

Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.

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Step-by-step explanation:

Answer:

j

Step-by-step explanation:

Answer:

dddddweqwqq

Step-by-step explanation:

2x+4=10 <=>

<=> 2x=10-4<>

<=> 2x=6/:2<=>

<=> x=3

Answer:

x=3

Step-by-step explanation:

put x alone by subtracting 10 by 4 and then dividing it by 2, which equals 3. Hope this helps :)

Among the given, only 0.5 can be exactly represented in binary notation with a finite number of bits

Hence, option (d) is the correct choice.

Binary is a base-2 number system in which a number is represented by two states: 0 and 1. We can also refer to it as a true and false condition. A binary number is constructed in the same manner as a decimal number.

Binary data is information expressed or displayed using the binary number system. Binary data is the only type of data that a computer can directly understand and execute. It is represented numerically as a series of zeros and ones.

The binary representation of 0.5 is 0.1_2, and it is the only terminating fraction among the available possibilities.

As a result, it is the only fraction that can be expressed precisely.

All of the other possibilities have a non-terminating fraction portion and hence cannot be expressed accurately with a limited amount of bits.

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The complete question may be:

Which of the following decimal numbers can be exactly represented in binary notation with a finite number of bits?

(a) 0.1

(b) 0.2

(c) 0.4

(d) 0.5

(e) All the above

Answer:11

Step-by-step explanation:

The value of x in the chord of the circle using the chord-chord power theorem is 0.

The chord-chord power theorem simply state that "If two chords of a circle intersect, then the product of the measures of the parts of one chord is equal or the same as the product of the measures of the parts of the other chord".

From the figure:

The first chord has consist of 2 segments:

Line segment 1 = 27

Line segment 2 = ( x + 16 )

The second chord also consist of 2 sgements:

Line segment 1 = 24

Line segment 2 = ( x + 18 )

Now, usig the Chord-chord power theorem:

27( x + 16 ) = 24( x + 18 )

Solve for x:

27x + 432 = 24x + 432

27x - 24x = 432 - 432

3x = 0

x = 0

Therefore, the value of x is 0.

Option D) 0 is the correct answer.

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Answer:

x=−10,y=−5

Step-by-step explanation:

The factory will put 441 cans of soda in 7 cases.

If each case of soda contains 7 cans of each flavor, and the factory is putting 7 cases, we can calculate the total number of cans by multiplying the number of flavors, cans per flavor, and cases.

Given:

Number of flavors = 9

Cans per flavor = 7

Number of cases = 7

To calculate the total number of cans, we can multiply these values:

Total cans = Number of flavors × Cans per flavor × Number of cases

Total cans = 9 × 7 × 7

Total cans = 441

To arrive at this answer, we multiplied the number of flavors (9) by the number of cans per flavor (7) to get the number of cans per case (63). Then, we multiplied the cans per case (63) by the number of cases (7) to obtain the total number of cans (441).

Hence, the factory will put 441 cans of soda in 7 cases.

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Answer:

2.815

Step-by-step explanation:

Answer:

2.39

Step-by-step explanation:

185

----- + 50% + 4%=2.39 or 239%

100

The equation 2 log₅ x = log₅ 4 + log₅ 9 has two solutions: x = 6.

To solve the equation 2 log₅ x = log₅ 4 + log₅ 9, we can use logarithmic properties to simplify and find the value of x.

Using the properties of logarithms, we can rewrite the equation as follows:

2 log₅ x = log₅ (4 * 9)

Next, we simplify the right side:

2 log₅ x = log₅ (36)

Now, we can use the property of logarithms that states logₐ b = c is equivalent to aᶜ = b. Applying this property, we have:

x² = 36

Taking the square root of both sides, we get:

x =  √36

Since the square root of 36 can be either positive or negative, we have two possible solutions:

x = 6

It's important to note that when working with logarithmic equations, we must always check if the obtained solutions satisfy the domain restrictions of the original equation. In this case, since the logarithm has a base of 5, the solution x = 6.

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Answer:

6x-28+28=-76+28

6x=-48

6x÷6=x

-48÷6 =-8

x=-8

Step-by-step explanation:

correct me or wrong

Given:

Volume of cylinder, V = 90π cm³

Radius, r = 3 cm

Let's find the height of the cylinder.

To find the height, given the volume, apply the formula for the volume of a cylinder:

Where h is the height.

Let's rewrite the formula for h to solve for h.

Re-arrange the equation:

Divide both sides by πr²:

Now, substitute values into the equation and solve for h.

Where:

V = 90π

r = 3

We have:

Therefore, the height of the cylinder is 10 cm.

ANSWER:

D. 10 cm

Las expresiones algebraicas que completan la tabla son 200+x, 2(200+x), 650+ 2(200+x),  y -5, y+ 10, y+8, 75- y

El lenguaje algebraico es simbólico es decir se expresa mediante consonantes o vocales, el lenguaje algebraico nos permite expresar de manera sencilla y practica el valor desconocido de una determinada cantidad.

A partir de la información dada es decir  "x" naranjas y "Y" que es la edad de José vamos a expresar las respuestas en lenguaje algebraico.  Para esto se debe relacionar la x o y con el valor dado y el signo matemático correspondiente:                                                

Luis tiene 200 naranjas mas que Soraya  =  200+x

Susana tiene el doble de Luis  = 2(200+x)

Juan tiene 650 naranjas mas que susana   = 650+ 2(200+x)

Considerando que Y es la edad de José

Los años que tenia hace 5 años = y -5

Los años que tendrá en 10 años  = y+ 10

Los años que tendrá dentro de 8 años = y+8

Los años que faltan para que cumpla 75 años = 75- y

Podemos concluir que el lenguaje algebraico nos permite representar de manera practica un valor desconocido y de igual manera obtener respuestas practicas y sencillas a partir de variables.

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Answer:

your answer is correct in your math problems you don't have to worry about it as long you did your homework the right way and follow instructions