A phone company offers two monthly plans. plan A cost $19 plus an additional $0.11 for each minute of calls. plan B has no initial fee but costs $0.15 for each minute of calls.

The dot plot that displays the data distribution is the dot plot on the lower left corner of the options with

Two dots at 0

One dot at 2

Two dots at 3

Four dots each at 4, 5, and 6

One dot at 7

A dot plot is a graphical presentation of data, on a number line, with the number of points of dot representing the frequency of data at each value on the number line.

The data can be presented as follows;

2, 6, 4, 3, 0, 3, 4, 6, 5, 0, 4, 5, 7, 5, 6, 4, 5, 6

The above data can be arranged in increasing order as follows; 0, 0, 2, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 7
Therefore, the frequencies of 0s is two, the frequencies of 4s, 5s and 6s are four each, and the frequency of 7 is one, which corresponds to the third graph or the graph in the bottom left corner of the figure.

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Using the Pythagoras theorem, the longest leg has the length of 24 feet.

Given that,

A ladder of length (2x+6) feet is positioned x feet from a wall.

Height of the ladder = (2x + 6) feet

Distance of ladder from the wall = x feet

Height of the wall that the ladder is placed = (2x + 4) feet

These three lengths form s right triangle where (2x + 6) feet is the hypotenuse.

Longest leg is (2x + 4) feet

Using the Pythagoras theorem,

(2x + 6)² = (2x + 4)² + x²

4x² + 24x + 36 = 4x² + 16x + 16 + x²

4x² + 24x + 36 = 5x² + 16x + 16

x² - 8x - 20 = 0

(x - 10) (x + 2) = 0

x = 10 or x = -2

x = 2 is not possible.

So x = 10

Longest leg = 2x + 4 = 20 + 4 = 24 feet

Hence the length of the longest leg is 24 feet.

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Answer:

4*12*2

Step-by-step explanation:

it will be the right answer

Answer:

There are 6 boys in group.

Step-by-step explanation:

Since we have given that

Number of arrangement of 4 boys = 12 times the number of arrangement of 2 boys.

So, Let the number of boys in the group be 'x'.

So, Number of boys in the group will be

\begin{gathered}x=\frac{12\times 2}{4}\\\\x=\frac{24}{4}\\\\x=6\end{gathered}

x=

4

12×2

x=

4

24

x=6

Hence, there are 6 boys in the group.

hope it helps you a follow would be appreciated

Answer:

Jim sold 340 reams of paper.

Step-by-step explanation:

The rule of three is a way to solve proportionality problems between three known values ​​and one unknown. . That is, what is intended with it is to find the fourth term of a proportion knowing the other three. Remember that proportionality is a constant relationship or ratio between different magnitudes.

If the relationship between magnitudes is direct, that is, when one magnitude increases, so does the other (or when one magnitude decreases, so does the other), the direct rule of three should be applied as follows, a, b and c the known values ​​and x the unknown:

a ⇒ b

c ⇒ x

So: \(x=\frac{c*b}{a}\)

In this case, the rule of three can be applied as follows: if 1 box of paper contains 10 reams, 34 boxes of paper will have how many reams?

\(amount of reams=\frac{34 boxes*10 reams}{1 box}\)

amount of reams= 340 reams

Jim sold 340 reams of paper.

Answer:

constant of proportionality = 10

Step-by-step explanation:

Direct proportion equation :

y = kx, where k is the constant of proportionality

Amplitude is the maximum displacement of a function on a graph.

Amplitude is the maximum displacement of a function on a graph. It refers to the maximum height or distance from the baseline of a wave or oscillation.

It is often used in physics and engineering to describe the strength or size of a signal, vibration, or wave. In simple terms, it can be thought of as the "peak-to-peak" distance of a waveform, or the height of the waveform above and below the baseline.

But the minimum displacement of a function on a graph would typically be referred to as the minimum value or the "valley" of the function.

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Answer:

-7.225 according to a calculator.

Answer:

72cm^2

Step-by-step explanation:

Think of the whole figure as 3 rectangles. Your first one has an area of 8cm*3cm=24cm^2, your second one has an area of (12cm-3cm-3cm)*(8cm-4cm)=6cm*4cm=24cm^2, and your third one has an area of 8cm*3cm=24cm^2. Adding all of the areas together, we have 24cm^2+24cm^2+24cm^2=72cm^2 as the total area of the figure.

Answer:

Step-by-step explanation:

when a line is perpendicular to a given line, it uses the opposite reciprocal of the slope (basically flip the top and bottom numbers of the slope fraction and then change its sign from negative to positive or vice versa)

the slope of the given line is 1/4

the opposite would be -1/4

the reciprocal would be -4/1 or just -4

so the slope of this new line is -4

what we know so far is

y = -4x + b

since it has to go through point P (9, -2)

we’ll substitute 9 for x and -2 for y to find b

-2 = -4(9) + b

-2 = -36 + b

34 = b

so the final equation is

y = 4x + 34

Answer:

You have to ask a question

Step-by-step explanation:

Answer:

40 ÷ [ 20 - 4 × 3]

40 ÷ [ 20 - 12 ]

40 ÷ 8

5

Answer:

5

Step-by-step explanation:

\(1. \: 40 \div (20 - 4 \times 3) \\ 2. \: 40 \div (20 - 12) \\ 3. \: 40 \div 8 \\ 4. \: = 5\)

Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

From the question, we have the following parameters that can be used in our computation:

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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Answer:

At the value of x = 3 the function H(x) is undefined. (answer is 3)

Step-by-step explanation:

h (x) = 1/(x-5)2 + 4 (x-5) +4

Solution :

We know that for the values of x where denominator is zero the function H(x) is not define.

(x -5)2 +4 (x -5 ) +4 = 0

x2 -6x +9 =0

x2 - 3x - 3x +9 = 0

(x - 3)2 = 0

So x= 3

At x = 3 the function H(x) is undefined. (3 is your answer)

Answer:

20 questions

Step-by-step explanation:

12/15 can be reduced to 4/5

you can create a ratio like the following:

4/5 = x/25

cross-multiply to get:

5x = 100

x = 20

The length of wire needed to cover the land 4 times, is  7,850 m

If we want to do 4 loops of wire around the given land, then we need to use 4 times the circumference of the land.

Remember that the circumference of a circle of radius R is:

C = 3.14*R²

Here the radius is R = 25m, then the circumfernce is:

C = 3.14*(25m)² = 1,962.5m

Then the amount of wire needed is 4 times that:

Wire = 4*1,962.5m

Wire = 7,850 m

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Complete question:

"Si se desea colocar 4 vueltas de alambres de púa en el terreno circular con un radio de 25 metros ¿cuántos metros se tendrán que comprar?"

Answer:

The claim is true.

Step-by-step explanation:

Given - Suppose a poll is taken that shows that 281 out of 500 randomly selected, independent people believe the rich should pay more taxes than they do.

To find - Test the hypothesis that a majority (more than 50%) believe the rich should pay more taxes than they do. Use a significance level of 0.05.

Solution -

Given that,

X = 281, n = 500

So,

The hypothesis are :

H0 : p = 0.50

H1 : p > 0.50

So,

Sample proportion is

p bar = X/n

         = 281/500

         = 0.562

⇒p bar = 0.562

Now,

Test statistics :

\(Z_{0} = \frac{p bar - p}{\sqrt{\frac{p(p - 1)}{n} } } \\= \frac{0.562 - 0.50}{\sqrt{\frac{0.50(0.50 - 1)}{500} } }\\= 0.277\)

∴ we get

\(Z_{0} = 0.277\)

SO,

p-value = P( Z ≥ 0.277)

             = 1 - P(Z ≤ 0.277)

             = 1 - 0.997

             = 0.002779

∴ we get

The conclusion is -

As \(Z_{0} = 0.277\) > Z = 1.645

We reject H0

And

We have enough information to conclude that the population proportion is greater than 0.50

So,

The claim is true.

The volume of the circular cylinder be,

⇒ 62.8 mm³

Given that,

For a circular cylinder,

Height = 5 mm

Radius = 2 mm

Then we have to find the volume of this circular cylinder

Since we know that,

The right circular cylinder is a cylinder with circular bases that are parallel to each other. It's a three-dimensional form. The axis of the cylinder connects the centers of the cylinder's two bases.

This is the most frequent sort of cylinder encountered in daily life. The oblique cylinder, on the other hand, does not have parallel bases and resembles a skewed construction.

volume of circular cylinder = πr²h

Here we have,

r = 2 mm

h = 5 mm

Now put the values into the formula we get,

Volume = π x 2² x 5

             = 62.8 mm³

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Answer:

$3,080 for each person

Step-by-step explanation:

9,240 / 3 = 3,080

Explanation:

Focus on the y coordinates. They are: 6, 3, 1.5, 0.75

Divide each by their previous term

We have a common ratio of r = 0.5

This proves we have a geometric sequence.

The starting term is a = 6

The nth term is \(a_n = a(r)^{n-1} = 6(0.5)^{n-1}\) which is likely what choice C is showing. Though choice C should be written as 6(0.5)^(n-1)

Answer:

Step-by-step explanation:

The opposite side to angle B is 4. It is the line AC. AC is not connected in any way to <B

The adjacent side is one of the two sides making up <B. It is 3.

Tan(B) = opposite / adjacent

Tan(B) = 4/3

<B = tan-1(4/3)

<B = 53.13

Answer:

  A. 11•(8 + 7)

  B. 8•(11)-7•(11)

  C. 11•(7) + 11•(8)

Step-by-step explanation:

The commutative property of multiplication lets you swap the order of the factors in the product:

  (8 +7)•11 = 11•(8 +7)

The distributive property lets you eliminate parentheses:

  (8 +7)•11 = 8•11 +7•11

And the commutative properties of addition and multiplication let you rearrange this sum of products to ...

  (8 +7)•11 = 11•7 +11•8

Answer:

3/10

Step-by-step explanation:

1) 5/20+1/20= 6/20

2) Both 6 and 20 lowest number on dividing: 2

6 divide by 2= 3     20 divide by 2= 10

5/20+1/20

= 5+1/20

= 6/20

= 3/10

Step-by-step explanation:

m is the slope m= y2-y1/x2-x1

you take two points off your chart (0,6) and (1,10)

then put them in the equation

(10-6/1-0)

this equals 4/1 or m=4 which is your slope!

Answer:

Step-by-step explanation:

y + 2 = 5(x - 0)

y + 2 = 5x - 0

y = 5x - 2

Answer:

y = 5x - 2

Step-by-step explanation:

Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

The y-intercept is where x = 0, or where the graph crosses the y-axis. Given in the problem, we have that the y-intercept is (0, -2), so b = -2.

We also know the slope is 5.

So, our slope-intercept form is:

y = 5x - 2

~ an aesthetics lover

Answer:

what is your question all I see is numbers and shapes

Answer:

x+4

You're just adding 4 to x

Answer:

d: x = -8

Step-by-step explanation:

40 + 65 + x + 83 = 180  (sum of internal angles of a triangle)

x = 180 - 40 - 65 - 83

x = -8

Answer:

D=1

Step-by-step explanation:

1. Combine multiplied terms into a single fraction
2. Cancel terms that are in both numerator and denominator
3. Divide by 1

Answer:

I honestly don't know but I think its all real numbers but not zero

Step-by-step explanation:

Answer:

0.9

Step-by-step explanation:

Given that data:

x : 7, 5, 11, 8, 14, 19, 16, 15, 13, 27

Mean = Σx / n

Using calculator :

Mean (m) = 13.5

Standard deviation (s) = 6.433

Proportion that lies in mean ± 2s

Lower = Mean - 2s

13.5 - 2(6.433) = 0. 632

Upper = Mean + 2s

13.5 + 2(6.433) = 26.376

Mean ± 2(sd) = (0.632, 26.276)

The only digit from the data which falls outside the defined range = 27

Proportion within interval = 9 / n

Proportion which falls within range = 9/10 = 0.9