Find the midpoint of (6, 4) and (0,2).​

For the given experiment, the relative frequency of getting tails is:

R = (12/25)*100% =48%

If we perform an experiment N times, and out of these N times, K times we get a given outcome (Where K is a number equal to or smaller than N).

The relative frequency of that particular outcome is given by the quotient between the number of times that we got that outcome and the total number of times that the experiment was performed.

In this case, the experiment is performed 25 times, and 12 times we get tails, then the relative frequency for getting tails is:

R = 12/25

If we want to write it in percentage form, then we get:

R = (12/25)*100% =48%

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Answer:

answer is c (0,2)

hope it helps

Answer:

$40.60

Step-by-step explanation:

10.50+4%=10.92

28+6%=29.68

10.92+29.68=40.60

Answer:

It is the longest side of a right triangle.

Step-by-step explanation:

Hope this helps!

If not, I am sorry.

The true statement about is the graph has a range of {y|-∞ < y < ∞} and decreases as x approaches 0.

A logarithm function is a type of function that represents the inverse of an exponential function. Mathematically, a logarithmic function is written as [tex]y =log_ax[/tex].

The domain of the given logarithm function f(x) = logx is (x > 0) and its graph wouldn't touch the vertical axis but moves to the right.

Also, the logarithmic function increases as the value of x increases. Thus, this function would decrease when x approaches zero (0).

In conclusion, we can deduce that the range of this function is -∞ < y < ∞.

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Answer:

domain:

c. The graph has a domain of {x|0<x<∞} and approaches 0 as x decreases.

and pretty sure the range is:

b. The graph has a range of {y|-∞<y<∞}and decreases as x approaches 0.

because all real numbers

Step-by-step explanation:

hope this helped

[tex]9-\underline{9\div 9} + 9 - \underline{9 \div 9}\implies 9-\underline{1}+9-\underline{1}\implies 8+9-1\implies 17-1\implies 16\\[/tex]

recall PEMDAS, MD are before AS, and both are performed from left to right.

Answer:

20

Step-by-step explanation:

first lets apply PEMDAS

[tex]9 - (9 \div 9) + 9 - (9 \div 9) [/tex]

9 ÷ 9 = 1

1 × (-) = -1

9-(-1)= 10

( than do the same for other side )

and than you get

[tex]10 + 10[/tex]

the answer is 20

Answer:

acute triangle

Step-by-step explanation:

4 6 7 - Acute scalene triangle, area = 11.98

Answer:

the answer is x=0.36. (-20x=-7.2) divided by -20 equals to x=.36

Answer:

If you are asking if that's correct then yes it is

Step-by-step explanation:

The percent error of the measurement, to the nearest tenth of a percent is 18.6%

The formula for calculating the percent error is expressed as:

%error = actual - measure/actual * 100

Given the following

actual length = 13.4 in

Measured =10.9in

Substitute

%error = 13.4-10.9/13.4 * 100
%error = 2.5/13.4 * 100
%error = 18.65%

Hence the percent error of the measurement, to the nearest tenth of a percent is 18.6%

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For problem 17, if you double the diameter of the moon, then the surface increases by a factor of 4 and the volume by a factor of 8.

Let's answer question 17.

Remember that for a sphere of radius R, the volume is:

[tex]V = (4/3)*pi*R^3[/tex]

And the surface area is:

[tex]S = 4*pi*R^2[/tex]

So the volume depends on the cube of the radius and the surface on the square of the radius.

Now, if we double the diameter of the moon, then we also double the radius.

So the new volume will be:

[tex]V' = (4/3)*pi*(2*R)^3 = 8*[(4/3)*pi*R^3] = 8*V[/tex]

The new volume is 8 times the original volume.

And for the surface:

[tex]S' = 4*pi*(2*R)^2 = 4*[4*pi*R^2] = 4*S[/tex]

So the new surface is 4 times the original surface.

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[tex]\textit{surface area of a sphere}\\\\ SA=4\pi r^2 ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ SA=196\pi \end{cases}\implies \begin{array}{llll} 196\pi =4\pi r^2\implies \cfrac{196\pi }{4\pi }=r^2 \implies 49=r^2 \\\\\\ \sqrt{49}=r\implies 7=r~\hfill \underset{diameter}{\stackrel{2(7)}{14}} \end{array}[/tex]

Answer:

(x - 8)(x - 3)=0

x - 8=0 or x - 3=0

x =8 x =3

Answer:

[tex] x = - 12[/tex]

Step-by-step explanation:

[tex]5x + 6 = 2(2x - 3) \\ 5x + 6 = 4x - 6 \\ 5x - 4x = - 6 - 6 \\ x = - 12[/tex]

The attached figure represents the box and whisker plots

To do this, we start by converting the tallies in the frequency table to numerical values.

So, we have:

                Monday      Tuesday      Wednesday     Thursday   Friday

On Time     6                   3                     2                     10             10

Late             1                   0                     3                     4               10

Next, we enter these data on a graphing/statistical calculator to create the box and whisker plots

See attachment

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Step-by-step explanation:

b is per the identity of angles on parallel lines when intersected by one inclined line the same as the 40° angle.

so,

b = 40°

due to the parallel nature of the 2 lines there is a symmetry effect for such shapes inscribed a circle. the upper and the lower triangle must be similar. and when applying a vertical line through the central crossing point, everything to the left is mirrored by everything on the right.

so, angle c must be equal to angle b.

c = 40°

and as the sum of all angles in a triangle is always 180°, d is then

d = 180 - 40 - 40 = 100°

the interior angle of the arc angle a is the supplementary angle of d (together they are 180°), because together with d they cover the full down side of the top-left to bottom-right line.

interior angle to a = 180 - 100 = 80°

due to the symmetry again, the arc angle opposite to a is the same as a.

as we know, the interior angle to a pair of opposing arc angles is the mean value of the 2 angles.

so, we have

(a + a)/2 = 80

2a/2 = 80

a = 80°

there might (and actually should) be some more direct approaches for "a" out of the other pieces of information, but that was the most straight one right out of my mind, and I don't spend time on finding additional shortcuts, when I have already a working approach.

The  annual income tax paid by the person is: $4,500.

Using this formula

Annual income tax=[Salary÷(1-percentage deduction)]- Salary

Let plug in the formula

Annual income tax=[40,500÷(1-10%)]-40,500

Annual income tax=45,000-40,500

Annual income tax=4500

Therefore the  annual income tax paid by the person is: $4,500.

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Answer:

x = 15

[x = 15.0]

Step-by-step explanation:

we can find the length of the hypotenuse of a right triangle using the Pythagorean theorem

[note: "c" is what they are referring to as "x" here]

   a² + b²  =   c²

a : 12

b : 9

[c = hypotenuse/x/unknown side]

     12² + 9² = c²

    144 + 81  = c²

           225 = c²

        √225 = √c²

             15 = c

{x = 15.0}

The image of the point after the reflection across the x-axis is (8,5)

The point is given as:

D = (8,-5)

The rule of reflection across the x-axis is:

(x,y) -> (x,-y)

So, we have:

D' = (8,5)

Hence, the image of the point after the reflection across the x-axis is (8,5)

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Based on the triangle inequality theorem, the that is false about the relationship of the side of the triangle given is: D. x = 7.

The triangle inequality theorem holds that the length of any side of a triangle is less than the sum of the length of the sides of the other two sides.

Applying the triangle inequality theorem, it means the following should be true for any value of x given:

x + 2 + x + 3 > 3x - 2

2x + 5 > 3x - 2

Plug in x = 3 to find out:

2(3) + 5 > 3(3) - 2

11 > 4 (True)

Plug in x = 1 to find out:

2(1) + 5 > 3(1) - 2

8 > 2 (True)

Plug in x = 7 to find out:

2(7) + 5 > 3(7) - 2

19 > 19 (FALSE)

Therefore, the false statement is: D. x = 7.

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Answer:

Let b the cost of the manicure

15% of b= 5.10$

15% × b= 5.10$

b= 5.10×100/15

b= 34$

To counteract race-related violence, the 14 th amendment was ratified to grant citizenship to African Americans. Thus, option B is correct.

The main purpose of the 14th Amendment is to guarantee and protect the citizenship and rights of African Americans.

The 14th Amendment was ratified in 1868, and it granted citizenship to all the people that born or naturalized in the United States.

This was a particularly significant development for former slaves.

This is to give them equal protection from the laws.

To counteract race-related violence, the 14 th amendment was ratified to grant citizenship to African Americans. Thus, option B is correct.

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Answer:

1. Dogs are generally heavier than the cats.

2. The dogs have a much larger variety in their weights and size than cats.

Step-by-step explanation:

Step-by-step explanation:

all that means is that the radius is 5 meters, and that we are looking for the length of the circle arc that represents 90° of the whole circle (360°).

90/360 = 1/4

so, we need 1/4 of the circle circumference :

2×pi×r × 1/4 = 2×pi×5 × 1/4 = pi×10/4 = pi × 5/2 =

= 7.853981634... m

therefore, the third answer is correct.

Answer:

The odds of an event happening depend on the situation so it is really difficult to tell what the odds would be.

Step-by-step explanation:

the slope goes by several names

• average rate of change

• rate of change

• deltaY over deltaX

• Δy over Δx

• rise over run

• gradient

• constant of proportionality

however, is the same cat wearing different costumes.

so in this case we have the provided ones (2005 , 12000) and (2010 , 12250)

[tex](\stackrel{x_1}{2005}~,~\stackrel{y_1}{12000})\qquad (\stackrel{x_2}{2010}~,~\stackrel{y_2}{12250}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{12250}-\stackrel{y1}{12000}}}{\underset{run} {\underset{x_2}{2010}-\underset{x_1}{2005}}} \implies \cfrac{12250 -12000}{2010 -2005}\implies \cfrac{250}{5}\implies \underset{\textit{rate of change}}{50}[/tex]

Using the arrangements formula, it is found that they can stand in the line in 80,640 ways.

The number of possible arrangements of n elements is given by the factorial of n, that is:

[tex]A_n = n![/tex]

In this problem, we have that:

Hence the number of ways in which they can be lined up is given by:

N = 2! x 8 x 7! = 80,640.

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