Personal income. The Annual Demographic Supplement to the current Population Survey interviewed more than 128,000 people in March 2001. The Census Bureau reports that the mean income of the Hispanic males interviewed was $22,771. The mean income for the non- Hispanic white males interviewed was $41,798. Is each of the bold numbers a parameter or a statistic?

Answer:

A line that is parallel to y = 3x - 9 will have the same slope as the given line. The slope of y = 3x - 9 is 3. Therefore, the equation of the line that passes through (1, 2) and is parallel to y = 3x - 9 is:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is the point (1, 2)

Substituting the values we get:

y - 2 = 3(x - 1)

Simplifying the equation we get:

y - 2 = 3x - 3

y = 3x - 1

Therefore, the equation of the line that passes through (1, 2) and is parallel to y = 3x - 9 is y = 3x - 1 .

;>

Answer:

60m²

Step-by-step explanation:

Area of the trapezoid attached = 1/2(a+b)*h

a and b are the opposite sides

h is the height

Given

a = 18m

b = 12m

h = 4m

Substitute

Area of the trapezoid = 1/2(18+12)*4

Area of the trapezoid = 1/2 * 30 * 4

Area of the trapezoid  = 120/2

Area of the trapezoid  = 60m²

Hence the area of the lawn is 60m²

Answer:

1/2k+2=5+5/6k

-3 = 5/6k-1/2k

-3=2/6k

k= -9

Final Answer: \(k = -9\)

Steps/Reasons/Explanation:

Question: Solve the equation \(\frac{1}{2} k + 2 = 5 + \frac{5}{6}k\). Please select the best answer from the choices provided​.

\(a.\) \(2\frac{1}{4}\)

\(b.\) \(-9\)

\(c.\) \(9\)

\(d.\) \(-21\)

Step 1: Simplify \(\frac{1}{2}k\) to \(\frac{k}{2}\).

\(\frac{k}{2} + 2 = 5 + \frac{5}{6}k\)

Step 2: Simplify \(\frac{5}{6}k\) to \(\frac{5k}{6}\).

\(\frac{k}{2} + 2 = 5 + \frac{5k}{6}\)

Step 3: Multiply both sides by \(6\) (the LCM of \(2, 6\)).

\(3k + 12 = 30 + 5k\)

Step 4: Subtract \(3k\) from both sides.

\(12 = 30 + 5k - 3k\)

Step 5: Simplify \(30 + 5k - 3k\) to \(30 + 2k\).

\(12 = 30 + 2k\)

Step 6: Subtract \(30\) from both sides.

\(12 - 30 = 2k\)

Step 7: Simplify \(12 - 30\) to \(-18\).

\(-18 = 2k\)

Step 8: Divide both sides by \(2\).

\(-\frac{18}{2} = k\)

Step 9: Simplify \(-\frac{18}{2}\) to \(-9\).

\(-9 = k\)

Step 10: Switch sides.

\(k = -9\)

~I hope I helped you :)~

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

                                                   error

Answer:

x ≈ 75.2

Step-by-step explanation:

using the tangent ratio in the right triangle

tan62° = \(\frac{opposite}{adjacent}\) = \(\frac{x}{40}\) ( multiply both sides by 40 )

40 × tan62° = x , then

x ≈ 75.2 ( to the nearest tenth )

Answer:

V(b) = 576 in³

Step-by-step explanation:

9 = 3 * 3

12 = 3 * 2 *2

To have 9 spheres in a box 12  x   12   in²

We need to arrange in a grid of  3 x 3 spheres of 4" diameter, then

three rows and three columns will fit exactly i the box  12 x 12 in²

Now the height of the box need to be adequate for the diameter of the spheres ( 4 in )

Therefore the total volume of the box is:

V(b) = 12*12*4  

V(b) = 576 in³

Answer:

sweefe

Step-by-step explanation:

EFEFEEa

The age of Stacy is 24 years old provided the age of Ann is 59 years old.

Two or more expressions with an equal sign are defined as an equation.

Given that, Ann is 11 more than two times older than Stacy.

Let the age of Stacy and Ann be s and a respectively, then:

a = 11 + 2s

Substitute a = 59 into the above equation:

59 = 11 + 2s

2s = 59 -11

s = 24

Hence, the age of Stacy is 24 years old provided the age of Ann is 59 years old.

Learn more about equations here:

https://brainly.com/question/10413253

#SPJ1

Answer:

1 millimeter by 9 millimeters

Step-by-step explanation:

The only way to get an area of 9 is to have a length of 9 and a width of 1 or a width of 3 and a length of 3. They are asking for a rectangle so the second option is out. To find perimeter multiply 2L+2W. 2(9)=18 and 2(1)=2. 18+2=20 millimeters so you know it is correct.

To determine when the total cost of each health club will be the same, we can set up an equation and solve for the number of months.

Let's assume the number of months is represented by 'x'.

For Club A, the total cost is given by:

Total cost of Club A = $13 (one-time fee) + $28x (monthly fee)

For Club B, the total cost is given by:

Total cost of Club B = $19 (one-time fee) + $27x (monthly fee)

To find the number of months when the total cost is the same, we set the two equations equal to each other:

$13 + $28x = $19 + $27x

Simplifying the equation, we get:

$28x - $27x = $19 - $13

$x = 6

Therefore, after 6 months, the total cost of each health club will be the same.

To find the total cost for each club after 6 months, we substitute the value of 'x' back into the equations:

Total cost of Club A after 6 months = $13 + $28(6) = $13 + $168 = $181

Total cost of Club B after 6 months = $19 + $27(6) = $19 + $162 = $181

So, the total cost for both Club A and Club B will be $181 after 6 months.

For such more question on equation

https://brainly.com/question/29174899

#SPJ8

The z scores for each Country is Given below.

The Z-score quantifies the discrepancy between a given value and the standard deviation. The Z-score, also known as the standard score, indicates how many standard deviations a specific data point deviates from the mean. In essence, standard deviation represents the degree of variability present in a given data collection.

Given:

Country          Average monthly          Standard deviation       Original

                       salary (U.S. dollars)       (U.S. dollars)                  currency

Czech

Republic              $1,059                   $158.80                           koruna

Latvia                      $790                  $118.60                             lat

Hungary                 $1468                  $220.20                          forint

Italy                         $1,557                  $467.20                         Euro

United States         $4,141                  $1,242.20                       dollar

Now, Calculating the z-scores making $1,500 per month.

The z scores are :

Country                         Z-Scores

Czech Republic           (1500 - 1059)/ 158.8 = 2.77

Latvia                            (1500 - 790)/ 118.6 =5.98

Hungary                        (1500 - 1468)/ 220.20=0.145

Italy                                (1500 - 1557)/ 467.20=-0.12

The United States          (1500 - 4141)/ 1242.2 =-2.12

Learn more about z- score here:

https://brainly.com/question/21852449

#SPJ9

Answer : Life Insurance

Explanation : Have A Good Day

◊ YusuCr ◊

The optional deduction for money to be taken out of an employee's paycheck is life insurance.

Option C is the correct answer.

An employee's paycheck is a document issued by an employer that lists the amount of money an employee has earned during a certain pay period and the amount of money that has been withheld for taxes, insurance, and other deductions.

It also includes the net amount of money that the employee is entitled to receive after all deductions have been made.

We have,

Life insurance is an optional deduction for money to be taken out of an employee's paycheck.

The other options listed (Federal income tax, Medicare, and Social Security) are typically mandatory deductions required by law.

Thus,

The optional deduction for money to be taken out of an employee's paycheck is life insurance.

Learn mroe about employee's paychecks here:

https://brainly.com/question/2819285

#SPJ7

The value of

a. k = 0.0315

b. m(t) = m(o) e^-kt

c. m(t) = 4.2g

d. t = 60.2 years

The half-life of a radioactive isotope is the amount of time it takes for one-half of the radioactive isotope to decay. The half-life of a specific radioactive isotope is constant; it is unaffected by conditions and is independent of the initial amount of that isotope.

half life = 0.693/k

22 = 0.693 / K

22k = 0.693

K = 0.693/22

K = 0.0315

The mass after time t is given as ;

m(t) =m(o)e^-kt

where m(o) = 20g

after 50 years

m(t) = 20e^-(0.0315)(50)

= 20e^-1.575

m(t) = 20 × 0.21

m(t) = 4.2

3 = 20e^-0.0315t

3/20 = e^-0.0315t

0.15 = e^-0.0315t

ln 0.15 = -0.0315t

- 1.897 = -0.0315t

t = -1.897/-0.0315

t = 60.2 years

learn more about half life from

https://brainly.com/question/12699719

#SPJ1

a) The distance from point P to the pole  is: 6.2 m

b) The height of the Pole is: 6.2 m

The triangle attached shows us the triangle formed as a result of the given word problem about angle of elevation and distance and height.

Now, we are given that:

The angle of elevation of the top of the pole =  45°

Angle of elevation of the top of the pole = 58°.

|PQ|= 10m

a) PR is distance from point P to the pole and using trigonometric ratios, gives us:

PR/sin 58 = 10/sin(180 - 58 - 45)

PR/sin 58 = 10/sin 77

PR = (10 * sin 58)/sin 77

PR = 8.7 m

b) P O can be calculated with trigonometric ratios as:

P O = PR * cos 45

P O = 8.7 * 0.7071

P O = 6.2 m

Now, the two sides of the isosceles triangle formed are equal and as such:

R O = P O

Thus, height of pole R O = 6.2 m

Read more about distance from angle of elevation at: https://brainly.com/question/25748640

#SPJ1

The function f(x) = -2(4)ˣ⁺¹ +140 represents the number of tokens a child has x hours after arriving at an arcade. The practical domain and range of the function are x ≥ 0 and The practical range of the situation is [140, ∞).

The given function is f(x) = -2(4)ˣ⁺¹+ 140, which represents the number of tokens a child has x hours after arriving at an arcade.

To determine the practical domain and range of the function, we need to consider the constraints and limitations of the situation.

For the practical domain, we need to identify the valid values for x, which in this case represents the number of hours the child has been at the arcade. Since time cannot be negative in this context, the practical domain is x ≥ 0, meaning x is a non-negative number or zero.

Therefore, the practical domain of the situation is x ≥ 0.

For the practical range, we need to determine the possible values for the number of tokens the child can have. Looking at the given function, we can see that the term -2(4)ˣ⁺¹represents a decreasing exponential function as x increases. The constant term +140 is added to shift the graph upward.

Since the exponential term decreases as x increases, the function will have a maximum value at x = 0 and approach negative infinity as x approaches infinity. However, due to the presence of the +140 term, the actual range will be shifted upward by 140 units.

Therefore, the practical range of the situation will be all real numbers greater than or equal to 140. In interval notation, we can express it as [140, ∞).

To summarize:

- The practical domain of the situation is x ≥ 0.

- The practical range of the situation is [140, ∞).

Know more about the domain here:
https://brainly.com/question/30096754

#SPJ8

Answer:

LETS

GO

BRANDON

Step-by-step explanation:

The value of x in the triangles are 9.

For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.

Given:

The triangles are congruent.

That means, their corresponding angles are also congruent.

In ΔJKL,

the sum of all the angles of the triangle is 180°.

So,

x²-2x + x + 29 + 3x + 52 = 180

x² + 2x - 99 = 0

Solving the quadratic equation,

x² +11x - 9x - 99 = 0.

x (x + 11) -9 (x + 11) = 0

x = 9 and x = -11

Here, we take x = 9.

Therefore, the value of x is 9.

To learn more about the quadratic equation;

https://brainly.com/question/17177510

#SPJ1

Answer:

C

Step-by-step explanation:

2x + 1 = 85 (Alternate Interior Angles Theorem)

2x = 84

x = 42

(3y + 5) + (2x + 1) = 180 (Linear Pair Theorem)

3y + 5 + (85) = 180

3y + 5 = 95

3y = 90

y = 30

Answer:

x = 42, y = 30

Step-by-step explanation:

Alternate angles are equal so

85 = 2x + 1

2x = 84

x = 42°

Linear pair

(3y + 5) + (2x + 1) = 180

3y + 5 + 85 = 180

3y = 90

y = 30°

So I think the answer is x = 42° and y = 30°.

Hope it helps.

x⁴ - 8x² + 17 is the function that represents the fog(x).

To find fog(x), we first need to find g(f(x)), which means we need to substitute the expression for f(x) into the expression for g(x):

g(f(x)) = g(x² - 4)

Now, we can substitute the expression for g(x) into the above expression:

g(f(x)) = (x² - 4)² + 1

Expanding the squared term, we get:

g(f(x)) = x⁴ - 8x² + 17

Therefore, fog(x) = g(f(x)) = x⁴ - 8x² + 17.

Learn more about function here:

https://brainly.com/question/29633660

#SPJ1

Complete question:

f(x) = x² - 4 and g(x)= x^2 + 1  find fog(x).

We have 6 faces of a rectangular prism

For the rectangle 8 ft x 3ft we have 2 equals

The area of one is

for the rectangle 8 ft x 5ft we have two equals

the area of one is

for the rectangle 5ft x 3ft we have two equals

the area of one

The surface area is

Answer:

total number of beads :-

5+3+4=12

probability is :-

number of times a specific outcome has occurred

total number of possible outcomes

red beads - 5/12

blue beads - 3/12

green beads - 4/12

the above given fractions are the probabilities of each color bead.

Step-by-step explanation:

hope this helps, if yes please can u give me a brainly?

i would really apreciate it...

have a great day ahead :)

Answer:

6:2

Step-by-step explanation:

Answer:

6:2

Step-by-step explanation:

This simply means for every 6 triangles there are going to be 2 circles, so if you had 12 triangles there would be 4 circles.

So think of it kinda like:

6 triangles = 2 circles and so on.

Answer:

9

Step-by-step explanation:

Answer:

A

-------------------------w

Its hitting the 1 on on the y and 2 on the x

Option A correctly describes the area of the graph of the function.

How is an area of the graph calculated?

The area of a graph is the area under the function curve enclosed within the X-axis of the graph. Thus, it is the area of the figure formed by enclosing the function graph with the X-axis.

It is the integration of the function polynomial of the possible values of x that the function curve lies in.

Here the function equation is : \(f(x) = ( 25 - x^{2} )\)

From the figure, we can see that the value of x varies from -5 to 5.

Initial x-value of integration = minimum value of x

                                          = -5

Final x-value of integration = maximum value of x

                                          = 5

Thus, the area of the graph can be correctly calculated as. :

               \(Area = \int\limits^{maxX}_ {minX} \, f(x)dx\)

               \(Area = \int\limits^5_ {-5} \, (25-x^{2} )dx\)

Hence, Option A correctly calculates the area of the graph given.

To learn more about Graphs, visit

https://brainly.com/question/29548482

#SPJ1

Answer:

60%

Step-by-step explanation: i hope this heple

\

Answer:

August 18th

Step-by-step explanation:

What is the maturity date of a loan for $6000 at 15% exact interest taken out on June 7? Amount of interest is $180

We use the simple interest formula

Simple Interest = Principal × Rate × Time

Simple Interest = $180

Principal = $6000

Rate = 15% = 0.15

Time = ?

Time = Simple Interest/Principal × Rate

= $180/$6000 × 0.15

=180/900

=0.2 years

1 year = 12 months

0.2 year =

12 × 0.2

= 2.4 months

1 month = 30 days

2.4 months =

= 72 days

June 7 + 72 days = August 18

Answer:

Angle A = tan^-1(11/5)
Angle C = 90 - tan^-1(11/5)
AC = sqrt(146)

Step-by-step explanation:

As this is a right triangle, we can apply the Pythagorean theorem a^2 + b^2 = c^2, where c is the hypotenuse while a and b are the legs, to solve for AC.

11^2 + 5^2 = AC^2

121 + 25 = AC^2

146 = AC^2

sqrt(146) = AC^2

Next, to find angle A, we can use one of the trigonometric functions. Let’s use tangent for simplicity. Tangent of an angle is “opposite divided by adjacent”. If we set the angle to A, opposite is side BC and the adjacent is side AB. Thus, tan(A) = 11/5 and tan^-1(11/5) = A.
Since the sum of angles in a triangle is 180, we can find angle C by setting up this equation: C = 180 - 90 - tan^-1(11/5), which is 90 - tan^-1(11/5)