A polling organization uses random digit dialing of registered voters in a county to gauge the voters’ opinions about a ballot initiative to increase taxes that would pay for a new county park. The polling organization will investigate whether there are differences in how voters respond based on the highest level of education completed. The phone survey asked the voters contacted whether they approve or disapprove of the tax increase. The voters were also asked to indicate their highest level of education completed: high school, bachelor’s degree, or master’s degree. Which of the following is the appropriate test to investigate whether there is an association between opinion about the ballot initiative and highest level of education completed?
А. A two-sample t-test for a difference between means
B. A two-sample z test for a difference between proportions
C. A chi-square test of homogeneity
D. A chi-square test of independence A chi-square goodness-of-fittest

In case Ratio of lengths of sides of ΔABC,  AB/AC = 2/5 and AC/BC = 5/6

Similarly,

In case of Ratio of the lengths of sides of ΔDEF that corresponds to the sides of ΔABC in the ratio, DE / DF = 2/5 , DE / EF  = 1/3  and DF / EF = 5/6.

What is Ratio ?

By comparing two amounts of the same units, the ratio can be used to calculate how much of one item is included in the other. There are two different categories for ratios. The first is a part to part ratio, whereas the second is a part to whole ratio.

From the figure,

we have AB = 6, AC= 15, BC= 18, DE= 8, DF= 20 and EF = 24.

So, AB/AC = 6/15 = 2/5

and, AC/BC = 15/18 = 5/6

By comparing the two figures, we can find the sides of 1st triangle that corresponds to the 2nd triangle,

we have, __/DF = 2/5

we know that, AB/AC = 2/5

So, DE corresponds to AB.

Hence, DE/DF = 2/5

Similarly, DE/__= ?

we know that, AB/BC = 1/3

SO, DE/__= 1/3

and, BC corresponds to EF.

Hence, DE/EF = 1/3

Now, __/EF = 5/6

we know that, AC/BC= 5/6

So, AC corresponds to DF.

Hence, DF/EF= 5/6

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we have the equation

y= 4.983 −.010x

where

x ----> the salary

y ----> number of viewers

so

For x=$3 million

substitute

in the given equation

y=4.983-0.010(3)

y=4.953 millions

therefore

Answer:

$2.20

Step-by-step explanation:

Original price (before discount and before tax): $5

Discount is 60%.

Amount of discount is: 60% of $5 = 0.6 × $5 = $3

Price after 60% discount: $5 - $3 = $2

Tax is 10%.

Amount of tax is: 10% of $2 = 0.1 × $2 = $0.20

Final price = price after discount + tax = $2.00 + $0.20 = $2.20

A percentage is a way to describe a part of a whole. The final price of the candy, including the discount and a 10% sales tax is $2.2.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given that the cost of the candy is $5 and a 60% discount is given on the candy. Therefore, the price of the candy after the discount will be,

Discounted price = Price - 60% of price

                             = $5 - 0.60($5)

                             = $5 - $3

                             = $2

Now, on the price of the candy 10% sales tax will be added. Therefore, the Price of the candy after adding Tax will be,

Taxed price = Discounted price + 10% of discounted price

                    = $2 + 0.10($2)

                    = $2 + $0.2

                    = $2.02

Hence, the final price of the candy, including the discount and a 10% sales tax is $2.2.

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The value of p when q is 2 is 1

Inverse variation is the relationships between variables that are represented in the form of y = k/x, where x and y are two variables and k is the constant value.

This means that has x increases y will decrease and vice versa.

If p is inversely proportional to q , then p = kq

when p = 2, q = 4

2 = k4

k = 2/4

k = 1/2

When q = 2

p = 1/2 × 2

p = 1

Therefore the value of p is 1

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Answer:

Cubed Root (3√x) of

512

Cubed Root

8.0000000000

Step-by-step explanation:

Answer:

1.15775367252

Step-by-step explanation:

This is a really weird question but...

Answer:

width: 33 ft

length: 74 ft

Step-by-step explanation:

The perimeter of a rectangle is calculated by adding all of the sides together which includes two lengths and two widths. Since the formula for the length is given (l = 41ft + w) and the perimeter is given, then we can simply use the perimeter formula and substitute the value of length with its formula which would only leave us with one variable in the equation w. Now we must solve for w.

l + l + w + w = 214

(41 + w) + (41 +w) + w + w = 214  ... combine like terms

82 + 4w = 214  ... subtract 82 from both sides

4w = 132 ... divide both sides by 4

w = 33 ft

Finally, we can see that the value of the width is 33 ft . Now we plug this value into the formula for length to calculate its value.

l = 41 + w

l = 41 + 33

l = 74 ft

Log22/Log9 express log_9 22 in terms of common logarithms

Common logarithms, is commonly describd as base-10 logarithms.

It is a type of logarithm that involve taking the logarithm of a number with respect to the base of 10.

This means that common logarithms show how many powers of ten must be increased to get a particular number. The usual logarithm of 100, for example, is 2, because 10 raised to the power of 2 equals 100.

The answer provided is based on the full question below;

-------------express log_9 22 in terms of common logarithms

a. Log 22/9

b. Log 198

c. Log22/Log9

d. Log9/Log22

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Answer:

The probability is \(P(X < 450 ) = 0.18703\)

Step-by-step explanation:

From the question we are told that

    The mean is  \(\mu = \$ 490\)

     The standard deviation is  \(\sigma = \$ 45\)

Generally the probability that he/she earns less than $450 a week is mathematically represented as

        \(P(X < 450 ) = P(\frac{X - \mu }{\sigma} < \frac{450 - 490}{45} )\)

\(\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )\)

          \(P(X < 450 ) = P(Z < -0.8889 )\)

From the z table  the area under the normal curve to the left corresponding to    -0.8889  is

         \(P(Z < -0.8889 ) = 0.18703\)

=>     \(P(X < 450 ) = 0.18703\)

Answer:

Add all the values up and then divide by 2

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

The correct option is B

The equation of the line is:

Given the points: (4, -6) and (6, 3)

The equation of a line is given as:

Where m is the slope and b the y-intercept

The slope is obtained as follows:

With m = 9/2, we have the line as:

Now, we find the y-intercept, using either of the given points.

Using (6, 3), x = 6, y = 3

Therefore, the equation is:

Answer:

If you had actually included the "circle below" maybe this could be answered.

Step-by-step explanation:

Answer:

\(g'(y)=3y^2-4y-8\)

Step-by-step explanation:

start by foiling out the given function

\(g(y)=(y-4)(2y+y^2)\\=2y^2+y^3-8y-4y^2\\=y^3-2y^2-8y\)

next, use the power rule to find the derivative

power rule: To use the power rule, multiply the variable's exponent n, by its coefficient a, then subtract 1 from the exponent. If there's no coefficient (the coefficient is 1), then the exponent will become the new coefficient.

\(g'(y)=3y^2-4y-8\)

Answer:

is *C*

Step-by-step explanation:

C is the results is the function

X= 4 this solution is valid

X= 20 this solution is valid

Answer:

$257.83

Step-by-step explanation:

Subtract like shown below....

310.63 - 52.80 = 257.83

We subtract because we are finding the total amount of money before the deposit.

Hope that helps and have a great day!

Answer:

  12x²y² +2xy -2

Step-by-step explanation:

The distributive property is used to multiply polynomials.

  (3xy -1)(4xy +2) . . . . . . . . . . . . . given

  = (3xy)(4xy +2) -1(4xy +2) . . . . multiply the 2nd by the terms of the 1st

  = (12x²y² +6xy) +(-4xy -2) . . . . here are those products

  = 12x²y² +2xy -2 . . . . . . . . . collect terms (6xy-4xy = 2xy)

Answer:

b

Step-by-step explanation:

I mean I believe its b it looks like theres three

el hombre tenía 50 acciones.

La pregunta es, ¿cuántas acciones poseía el hombre si declararon un dividendo del 6% pagadero en acciones y tenía 50 acciones con un valor de $30 cada una?Para calcular cuántas acciones tenía el hombre,

se puede utilizar la siguiente fórmula:Dividendos = Número de acciones * Precio por acción * Tasa de dividendosDe esta fórmula,

podemos despejar el número de acciones. Así, tenemos:Número de acciones = Dividendos / (Precio por acción * Tasa de dividendos)De los datos del problema, se sabe que el hombre tenía 50 acciones con un valor de $30 cada una.

Además, la corporación declaró un dividendo del 6% pagadero en acciones. Por lo tanto, la tasa de dividendos es del 6%.Para resolver el problema, primero debemos calcular el valor del dividendo que se pagará en acciones.

Para ello, se debe multiplicar el valor de las acciones del hombre por la tasa de dividendos.

Así, tenemos:Valor del dividendo = 50 acciones * $30 * 0.06 = $90El valor del dividendo es de $90. Ahora, podemos sustituir este valor en la fórmula para calcular el número de acciones que tenía el hombre.

Así, tenemos:Número de acciones = $90 / ($30 * 0.06) = 50 accionesPor lo tanto,

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Answer:

- \(\frac{9}{10}\) > - \(\frac{10}{10}\)

Step-by-step explanation:

Which number is closer to 0, meaning that number is bigger.

-9/10 = -0.9

-10/10 = -1

We see -0.9 is closer to 0, meaning it is bigger.

So,  - \(\frac{9}{10}\) > - \(\frac{10}{10}\)

The length of side AB is about 5.87 units.

The triangle ABC is a right angle triangle. A right angle triangle is a triangle that has one of its angles as 90 degrees.

Therefore, let's find the length AB in the right triangle.

Using trigonometric ratios,

cos 33 = adjacent / hypotenuse

Therefore,

Adjacent side = AB

hypotenuse side = 7 units

cos 33° = AB / 7

cross multiply

AB = 7 cos 33

AB = 7 × 0.83867056794

AB = 5.87069397562

AB = 5.87 units

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Answer:

STo solve for m in the equation -319.45 = m, we can isolate the variable m by adding 319.45 to both sides of the equation:

-319.45 + 319.45 = m + 319.45

This simplifies to:

0 = m + 319.45

Finally, we can subtract 319.45 from both sides to solve for m:

0 - 319.45 = m + 319.45 - 319.45

-319.45 = m

Therefore, the value of m is -319.45.tep-by-step explanation:

(a) Clicks Width of Door (inches)

1 3.3

2 3.63

3 3.99

4 4.39
(b) The function is y = 3  (1.1)ˣ.

(c) It would take about 15 clicks of the zoom-in button to make the door approximately 3 feet wide on the screen.

(d) It would take about 12 clicks of the zoom-out button to transform the display of the door from 3 feet wide back to a width of approximately 3 inches.

(a)

Clicks Width of Door (inches)

1 3.3

2 3.63

3 3.99

4 4.39

(b) Let x be the number of clicks and y be the width of the door on the screen. Then, we can write the algebraic rule as:

y = 3  (1.1)ˣ

(c) To make the door approximately 3 feet wide on screen, we need to convert 3 feet to inches, which is 36 inches. Then, we need to solve for x in the equation:

3 (1.1)ˣ = 36

Dividing both sides by 3, we get:

(1.1)ˣ = 12

Taking the logarithm of both sides (with base 1.1), we get:

x = log(12) / log(1.1) ≈ 14.7

So, it would take about 15 clicks of the zoom-in button to make the door approximately 3 feet wide on the screen.

(d) To transform the display of the door from 3 feet wide back to a width of approximately 3 inches, we need to find the number of clicks of the zoom-out button that will result in a width of approximately 3 inches. We can use the same formula as before, but with the initial width of 36 inches (since we are zooming out):

36 (0.9)ˣ = 3

Dividing both sides by 36, we get:

(0.9)ˣ = 1/12

Taking the logarithm of both sides (with base 0.9), we get:

x = log(1/12) / log(0.9) ≈ 11.5

So, it would take about 12 clicks of the zoom-out button to transform the display of the door from 3 feet wide back to a width of approximately 3 inches.

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The volume from the given dimensions is 2 cubic centimeters.

Given that

l = 5 1/3 cm, w= 1/2 cm , h = 3/4 cm

The volume is the product of the dimensions i.e. he volume of a rectangular prism (also known as a box) is given by the formula:

V = lwh

where l is the length, w is the width, and h is the height.

Substituting the given values, we get:

V = (5 1/3 cm) * (1/2 cm) * (3/4 cm)

Evaluate the products

V = 2 cubic centimeters

Therefore, the volume is 2 cubic centimeters.

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Complete question

Given a rectangular prism with the dimension  l = 5 1/3 cm, w= 1/2 cm , h = 3/4 cm

What is the volume?

A statement that correctly compares the graph of function g with the graph of function f include the following: C. The graph of function g is a vertical compression of the graph of function f.

In Mathematics and Geometry, a dilation is a type of transformation which typically transforms the dimension (size) or side lengths of a geometric object, without affecting its shape.

Therefore, the dimension or side lengths of the dilated geometric object would be stretched or compressed (shrunk) depending on the scale factor that is applied.

When the parent function \(f(x) = e^x -4\) is vertically compressed by a scale factor of 1/2, the transformed function g(x) is given by the following equation;

g(x) = kf(x)

g(x) = 1/2f(x)

\(g(x) = \frac{1}{2} e^x -4\)

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The required graph has been attached below that represents the function f(x) = 5 cos (2x).

The graph of the function f(x) = 5 cos(2x) is a periodic function that oscillates between its maximum and minimum values as x changes.

Specifically, the function is a cosine function with amplitude 5 and period π, since the coefficient of x is 2 in the argument of the cosine function.

The graph of the function f(x) = 5 cos(2x) has a maximum value of 5 when cos(2x) = 1 (i.e., at 2x = 0 + 2πk, where k is an integer), and a minimum value of -5 when cos(2x) = -1 (i.e., at 2x = π + 2πk, where k is an integer).

Thus, the graph has been attached below that represents the given function.

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Answer:

400 !

Step-by-step explanation:

Answer:

400

Step-by-step explanation:

25

x16

____

150

+250

____

400

have a good day! c:

Answer:

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

Simplify in below steps: