A survey asks a random sample of 1500 adults in Ohio if they support an increase in the state sales tax from 5% to 6%, with the additional revenue going to education. Let ^ p denote the proportion in the sample who say they support the increase. Suppose that 13% of all adults in Ohio support the increase. The standard deviation of the sampling distribution is

Answer:

b

c

Step-by-step explanation:

First question: x - 6 means there is a shift to the right.

Second Question: substitute the given values into the original equation for appropriate transformations.

Answer: 3 |x-4| + 2, because vertical stretch multiplies x, horizontal shifts are subtracted or added to x, and vertical shifts are added or subtracted to the entire function.

The movement of the curve in the graph is shifting of the curve in vertical or the horizontal direction.For the first function the graph horizontal shift of 6 units right and for the second function when it is  vertical stretch of 3, a horizontal shift to the right 4 units, and a vertical shift up 2 units the transformation function is,

[tex]g(x)=3|x-4|+2[/tex]

The equation of the graph given in the problem is,

[tex]f(x)=\sqrt{x} [/tex]

The movement of the curve in the graph is shifting of the curve in vertical or the horizontal direction.

          [tex]g(x)=\sqrt{x-6} [/tex]

There is no change with the constant value. Thus the graph will not move in vertical direction. The change in variable of a unit result in the graph shift in horizontal direction.

As it shift -6 thus graph horizontal shift of 6 units right.

[tex]f(x)=|x|[/tex]

Vertical stretch of 3 means multiply the function with unit 3.

[tex]g(x)=3|x|[/tex]

Horizontal shift to the right 4 units means the difference of 4 units in the variable,

[tex]g(x)=3|x-4|[/tex]

Vertical shifts up with 2 units means the addition of the constant 2.

[tex]g(x)=3|x-4|+2[/tex]

Hence, for the first function the graph horizontal shift of 6 units right and for the second function when it is  vertical stretch of 3, a horizontal shift to the right 4 units, and a vertical shift up 2 units the transformation function is,

[tex]g(x)=3|x-4|+2[/tex]

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Answer:

<AED = 65

Step-by-step explanation:

1. Find the value of "x"

Remember, verticle angles are congruent. A verticle angle is formed when two lines intersect, the verticle angles are the angles that are opposite from eachother.

This means that;

<AEB = <CED

Substitue int he values;

5x - 10 = 3x + 40

Inverse operations;

5x - 10 = 3x + 40

-3x         -3x

2x - 10 = 40

    +10     + 10

2x = 50

/2    /2

x = 25

2. Find the measure of <AEB

Subsitute in the value for "x" that was found;

<AEB = 5x - 10

5 (25) - 10

125 - 10

115

3. Find the measure of <AED

Use a linear pair, a linear pair is two angles whose sum is 180 degrees. If one can put two angles together, and they form a straight line, then it is a linear pair.

<AEB and <AED are make a linear pair because together they form line BD.

This means that;

<AEB + <AED = 180

Substitute in the values;

115 + <AED = 180

<AED = 65

Answer:

  (-3/2, 0)

Step-by-step explanation:

You want the midpoint of line segment AB with end points A(-5, 5) and B(2, -5).

The midpoint of a line segment has coordinates that are the average of the end point coordinates.

  M = (A +B)/2

  M = ((-5, 5) +(2, -5))/2 = (-5+2, 5-5)/2 = (-3, 0)/2

  M = (-3/2, 0)

The midpoint of the line segment is (-3/2, 0).

Answer:

[tex]x = 19[/tex]

Step-by-step explanation:

Given

Shape: Regular Dodecagon

Interior Angle = 8x - 2

Required

Determine x

The sum of n terms of a regular polygon is:

[tex]Sum=180(n-2)[/tex]

Sides of a dodecagon is 12; So, we have:

[tex]Sum=180(12-2)[/tex]

[tex]Sum=180(10)[/tex]

[tex]Sum=1800[/tex]

Each angle is gotten by dividing 1800 by 12

[tex]Angle = \frac{1800}{12}[/tex]

[tex]Angle = 150[/tex]

Equate this to 8x - 2:

[tex]8x - 2 = 150[/tex]

Solve for x

[tex]8x = 150 + 2[/tex]

[tex]8x = 152[/tex]

[tex]x = 152/8[/tex]

[tex]x = 19[/tex]

Answer:

24 years

Step-by-step explanation:

Total = start*(1 + interest rate / amount of times compounded per month)^(years*amount of compounds per year)

6000 = 3000*(1+0.03/4)^(4x)

6000 = 3000* ((403/400)^4)^x

2 = ((403/400)^4)^x

x = log base-((403/400)^4) of 2 = x

x = 23.19

rounding down 23 years (but you probably want a year over that to get at least 6000, so 24)

Answer:

the square

Step-by-step explanation:

perpendicular = 90 degrees

Square (Option 1) has at least one pair of perpendicular sides

"Perpendicular means two lines, or sides, that meet at a right angle. A right angle is the measurement of 90 degrees."

"Perpendicular sides are at a 90-degree angle. Since they are so common, there is a special symbol to signify the sides are perpendicular without measuring."

Option 1

Squares are made up of two sets of parallel line segments, and their four 90° angles mean that those segments also happen to be perpendicular to one another.

Option 2

A parallelogram is a special kind of quadrilateral that is formed by parallel lines. The angle between the adjacent sides of a parallelogram may vary but the opposite sides need to be parallel for it to be a parallelogram.

Option 3

There are three angles in a triangle. These angles are formed by two sides of the triangle, which meets at a common point, known as the vertex. The sum of all three interior angles is equal to 180 degrees.

Option 4

A trapezoid is a quadrilateral with exactly one pair of parallel sides. Isosceles trapezoids have two sides which are equal sized and have the same angles between themselves and the bases.

Hence, Square (Option 1) has at least one pair of perpendicular sides

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Answer:

The name of line of reflection for the pair of figures is, line (r).

Step-by-step explanation:

Line of reflection : It is a line that divide a figure in two half similar or identical figures.

Or we can say that, a line of reflection is a line that divide a figure into two mirror images of the figure.

In mathematical terms we can say that, a line of reflection is a line where each point present in a shape appears at equal distance on the opposite side.

From this we conclude that,

The line 'r' represent the line of reflection.

The line 'q' represent the line of symmetry.

The line 'p' represent the line of asymmetry.

Hence, the name of line of reflection for the pair of figures is, line (r).

Answer:

3

Step-by-step explanation:

Term are the number and signs to make a problem.

Ex: 4+5=9

all those are terms

Answer:

a: 2

b:93

Step-by-step explanation:

x=3  

y-5

a)

4x-2y    given

4(3)-2(5)  substitution

12-10        multiply

2               subtract

b)

2x^2+3y^2       given

2(3^2)+3(5^2)  substitution

2(9)+3(25)       solve exponent

18+75               multiply

93

Answer:

A would be 2 assuming x=3 and y=5

B would be 36 + 225 . So I believe the answer is 261

Step-by-step explanation:

I hope you ace your test

Answer:

Step-by-step explanation:

Given a land area of 3200 m² with a length of 80 m, you want the width, perimeter, and cost of digging at ₹25/m².

The formula for the area of a rectangle can be used to find the width of the plot.

  A = LW . . . . . . area is the product of length and width

  3200 m² = (80 m)W . . . . . fill in given values

  40 m = W . . . . . . . . . . . . divide by the coefficient of W

The width of the plot is 40 m.

The perimeter can be found using the formula ...

  P = 2(L +W)

Using the length and width we know, this is ...

  P = 2(80 m +40 m) = 2(120 m)

  P = 240 m

The perimeter of the plot is 240 m.

The cost of digging will be the product of the number of square meters and the cost of digging each one:

  digging cost = (3200 m²)×(₹25 /m²) = ₹80,000

The cost of digging the land is ₹80,000.

Answer:  the expression would be

6000-p over 24

Step-by-step explanation:since we have given that

amount that liam has=250

amount that he and his classmates had=p

student $p will split=24

Answer:

250-p/24

Step-by-step explanation:

Khan

Answer: You would only be able to pick up 50miles worth of signal from the transmitter. P.s. i hope im not wrong

Step-by-step explanation:

Answer:

y = (-1/19)(x - 8)² + 1521/76

Step-by-step explanation:

A parabola moves in such a way that it's distance from it's focus and directrix are always equal.

Now, we are given that directrix is y = 9.75 and focus is at (8, 0.25). Focus can be rewritten as (8, ¼) and directrix can be rewritten as y = 39/4

If we consider a point with the coordinates (x, y), it means the distance from this point to the focus is;

√((x - 8)² + (y - ¼)²)

Distance from that point to the directrix is; (y - 39/4)

Thus;

√((x - 8)² + (y - ¼)²) = (y - 39/4)

Taking the square of both sides gives;

((x - 8)² + (y - ¼)²) = (y - 39/4)²

(x - 8)² + y² - ½y + 1/16 = y² - (39/2)y + (39/4)²

Simplifying this gives;

(x - 8)² - (39/4)² = (½ - 39/2)y

(x - 8)² - 1521/4 = -19y

(x - 8)² - 1521/4 = -19y

Divide both sides by -19 to get;

y = (-1/19)(x - 8)² + 1521/76

Answer:

x=9

Step-by-step explanation:

subtract 22 from both sides, simplify 3x = 10x-63, subtract 10x from both sides of the equation, simplify -7x = -63, divide both sides of the equation by the same factor -7x/-7 = -63/-7, then simplify

The value of the variable 'x' is 9. Then the length of the side QR will be 49 units.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.

The ratio of the matching sides will remain constant if two triangles are comparable to one another.

The triangles ΔQPR and ΔQRS are congruent triangles. Then the corresponding sides will be equal. Then the equation is given as,

PQ = QR

3x + 22 = 10x - 41

Simplify the equation, then we have

10x - 41 = 3x + 22

10x - 3x = 22 + 41

7x = 63

x = 63 / 7

x = 9

The length of the side QR is given as,

QP = 10 (9) - 41

QP = 90 - 41

QP = 49

The value of the variable 'x' is 9. Then the length of the side QR will be 49 units.

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Answer:

D

Step-by-step explanation:

Quotient means division

therefore, -3/8 / -1/3

-3/8 * 3/-1

=1/1/8 or 9/8 or 1.125

slope-intercept form: y = mx + c, where m is the gradient and c is the y-intercept!!!

x - 26y = 52

-26y = -x + 52

y = x/26 - 2

well, the total was really "x", which oddly enough is 100%, but if we include the tip that'd be 100% + 10% = 110%, which we happen to know is $37.40, that's the cost of food and drinks plus tip hmmm so

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x & 100\\ 37.40& 110 \end{array} \implies \cfrac{x}{3740}~~=~~\cfrac{100}{110} \\\\\\ \cfrac{x}{37.40}=\cfrac{10}{11}\implies 11x=374\implies x=\cfrac{374}{11}\implies x=34[/tex]

Answer:$34

Step-by-step explanation:

Using the hypergeometric distribution, it is found that you are going to win approximately 3.33% of the time.

The formula is:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

For this problem, we have that:

You win if you have the 3 correct balls, hence the probability is P(X = 3), found as follows:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 3) = h(3,60,20,3) = \frac{C_{3,3}C_{60,20}}{C_{60,20}} = 0.0333[/tex]

Hence you are going to win approximately 3.33% of the time. The difference is because you considered that only 3 balls would be drawn, and not 20.

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Answer:

Step-by-step explanation:

Options:

A. AC≅AC, Reflexive Property of Congruence

B. ∠ACB≅∠CAD, Alternate Interior Angles Theorem

C. ∠BAC≅∠DCA, Alternate Interior Angles Theorem

D. △ABC≅△CDA, SAS Triangle Congruence Theorem

Answer:

A and B and C

theres another answer right here that explains why

Answer:

c

Step-by-step explanation:

Answer:

She would need 42 cups of flour

Step-by-step explanation:

Answer

c)

Step-by-step explanation:

321÷12=26.75 ~ 27

Answer:

Therefore, 27 tables are needed to seat all of the visitors.

Step-by-step explanation:

In order to solve this question, we must divide 321 by 12, since there are 321 visitors, and each table seats 12 people.

321 ÷ 12 = 27 when rounded to the nearest whole number.

Therefore, 27 tables are needed to seat all of the visitors.

Hope this helps! :D

Answer:

0

Step-by-step explanation:

Without solving anything, we can tell that the line that crosses these points is a horizontal line because both of the y-coordinates are the same. This tells us that the slope of the line is 0.

To prove this, we can find the slope of the line by plugging the two points,[tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex],  into the equation [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].

[tex]\frac{y_2-y_1}{x_2-x_1}\\\frac{5-5}{-17-(-9)}\\= \frac{0}{-17+9)}\\= \frac{0}{-8}\\= 0[/tex]

Therefore, the slope of the line that passes through the points (-9,5) and (-17,5) is 0.

I hope this helps!

[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Here we go ~

[tex]\qquad \sf  \dashrightarrow \: f(x)= {6}^{x} [/tex]

we need to find f'(2) = ??

[tex]\qquad \sf  \dashrightarrow \: f {}^{ \prime} (x) = \displaystyle \sf \lim_{h \to0} \: \: \dfrac{f(x + h) - f(x)}{h} [/tex]

[tex]\qquad \sf  \dashrightarrow \: f {}^{ \prime} (x) = \displaystyle \sf \lim_{h \to0} \: \: \dfrac{6 {}^{x + h} - 6 {}^{x} }{h} [/tex]

[tex]\qquad \sf  \dashrightarrow \: f {}^{ \prime} (x) = \displaystyle \sf \lim_{h \to0} \: \: \dfrac{6 {}^{x + h} - 6 {}^{x} }{h} [/tex]

[tex]\qquad \sf  \dashrightarrow \: f {}^{ \prime} (x) = \displaystyle \sf \lim_{h \to0} \: \: \dfrac{6 {}^{x }( 6 {}^{h} - 1)}{h} [/tex]

[tex]\qquad \sf  \dashrightarrow \: f {}^{ \prime} (x) =\: 6 {}^{x} \: log_{e}(6) [/tex]

Now, plug in 2 for x ~

[tex]\qquad \sf  \dashrightarrow \: f {}^{ \prime} (2) =\: 6 {}^{2} \sdot log_{e}(6) [/tex]

[tex]\qquad \sf  \dashrightarrow \: f {}^{ \prime} (2) =\: 36 \sdot (1.79)[/tex]

[tex]\qquad \sf  \dashrightarrow \: f {}^{ \prime} (2) =64.44[/tex]

Answer:

The are 7 ounces of combined meat and cheese in each sandwich (4+3 =7)

There were 13 sandwiches made in the hour (91 oz/7 oz = 13)

52 ounces of meat were used (4*13 = 52) If 13 sandwiches were made, and we know that 4 ounces of meat were used on each sandwich, 4*13 would tell us how many ounces of meat total were used.

39 ounces of cheese were used (3*13 = 39) If 13 sandwiches were made, and we know that 3 ounces of cheese were used on each sandwich, 3*13 would tell us how many ounces of cheese total were used.

You can check to see if the multiplication answers are correct by adding them (39+52 = 91)

I hope this helps you!

Answer:

13

Step-by-step explanation:

4+3=7

91 divided by 7 =13

The property which is being used to go from step 4 to step 5 is associative Property .

In step 4 it is written that 30 + (-19x) -3 = 0

                                         27 - 19x = 0

According to associative Property is we interchange the number with their sign it gives the same solution as this before .

On interchanging we get ,( -19x +30) -3 = 0

                                           - 19x + 27 = 0

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Answer:

elisa made more withrawalss

Step-by-step explanation:

because when you divide elisa's total withrawal by the amaount of cash she withrew at a time would be 140/20=7.Whwn you compare that to francis's withrawal would be 270/45=6. 7>6 so elisa made more withrawals than francis

Answer:

elisa did da most

Step-by-step explanation:

Answer:

B 244

Step-by-step explanation:

You can split up the polygon into two separate rectangles, one smaller one on top and one bigger one below.

Area of smaller rectangle = 6 × (14-8)

                                          = 36

Area of bigger rectangle = 26 × 8

                                         = 208

Total area of polygon = 36 + 208

                                    = 244