A box contains 8 red balls, 5 brown balls, 4 purple balls, and 3 green balls. What is the probability that a purple ball will be selected from the box after a red ball is taken out and not replaced?

Write the probability as a percent. Round to nearest tenth of a percent as needed.

Answer:

A. (3, -5)

Step-by-step explanation:

Use the first equation to find an expression for x. (Add 3y.)

x = 18 + 3y

Now, use this where x is in the second equation.

2(18 +3y) +19 = -5y

55 +6y = -5y . . . . . . . eliminate parentheses

55 +11y = 0 . . . . . . . . .add 5y

5 +y = 0 . . . . . . . . . . .divide by the coefficient of y

y = -5 . . . . . . . . . . . . . add -5; corresponds to answer choice A

Using the expression for x, we can find its value:

x = 18 +3(-5) = 3

The solution is (x, y) = (3, -5). . . . . . matches choice A

Answer:

(3, –5)

Step-by-step explanation:

Answer:

1. QM≅RM

2. reflexive property of congruence

3. ΔPQM≅ΔPRM

4. SSS congruence postulate

5. CPCTC

Step-by-step explanation:

1. As M is the midpoint of line QR, dividing it in two equal parts that are QM and MR. Hence

                            QM≅RM

2. The reflexive property of congruence states that a line or a geometrical figure is reflection of itself and is congruent to itself. Hence in given case,

                            PM≅PM

3. ΔPQM is congruent to ΔPRM because all the three sides PQ, QM and PM of ΔPQM are congruent to all the three sides PR, RM and PM of ΔPRM repectively.

4. SSS congruence postulate stands for Side-Side-Side congruence postulate, it states that when three adjacent sides of two triangle are congruent then the two triangles are congruent. In given case, the three sides

PQ≅PR

QM≅RM

PM≅PM

hence ΔPQM ≅ΔPRM

5. CPCTC stands for congruent parts of congruent triangles are congruent. In given case as proven in part 4 that ΔPQM ≅ΔPRM so their corresponding angles will also be congruent. Hence

                           ∠Q≅∠R

!

Answer:

  2∠180° . . . or . . . 2(cos(180°) +i·sin(180°))

Step-by-step explanation:

-2 is 2 units along the negative real axis. The direction of that from the origin is at an angle of 180° measured from the positive real axis. So, the magnitude is 2 units and the angle is 180°.

Answer:

  C  34ft

Step-by-step explanation:

SOH CAH TOA reminds you that ...

  Tan = Opposite/Adjacent

In this geometry, the height of the tree is the side Opposite the angle of elevation, with the Adjacent side being the one that is the 25 ft distance from Joey to the tree. The angles of elevation and depression are equal.

Hence ...

  tan(53°51') = height/(25 ft)

  height = (25 ft)·tan(53°51') ≈ 34.22 ft ≈ 34 ft.

Answer: Median=16 Mode=16 and idk what the midrange is

Step-by-step explanation:For the median if you cross off the numbers from left to right until you have one number left in the middle.

Mode you need to look for the number that occurs the most which was 16.

[tex]\displaystyle\\ \sqrt{2}=2^{^\frac{1}{2}}\\\\\sqrt[3]{2}=2^{^\frac{1}{3}}\\\\\frac{\sqrt{2}}{\sqrt[3]{2}}=\frac{2^{^\frac{1}{2}}}{2^{^\frac{1}{3}}}=2^{^{\frac{1}{2}-\frac{1}{3}}}=2^{^{\frac{3-2}{6}}}=2^{^{\frac{1}{6}}}=\boxed{\sqrt[\b6]{2}}[/tex]

Answer:

[tex]\sqrt[6]{2}[/tex]

Step-by-step explanation:

write the equivalent expression for [tex]\frac{\sqrt{2}}{\sqrt[3]{2}}[/tex]

to simplify it we need to rationalize the denominator

we multiply top and bottom by  [tex]\sqrt[3]{4}[/tex]

[tex]\frac{\sqrt{2}*\sqrt[3]{4}}{\sqrt[3]{2}*\sqrt[3]{4}}[/tex]

[tex]\frac{\sqrt{2}*\sqrt[3]{4}}{\sqrt[3]{8}}[/tex]

[tex]\frac{\sqrt{2}*\sqrt[3]{4}}{2}[/tex]

square root can be written as 1/2  and then cube root can be written as 1/3

[tex]\sqrt[3]{4} =2^\frac{2}{3}[/tex]

[tex]\frac{\sqrt{2}*\sqrt[3]{4}}{2}[/tex]

[tex]\frac{2^\frac{1}{2}*2^\frac{2}{3}}{2}[/tex]

Now add the fractions [tex]\frac{1}{2} + \frac{2}{3} =\frac{3}{6} + \frac{4}{6}=\frac{7}{6}[/tex]

[tex]\frac{2^\frac{7}{6}}{2}[/tex]

[tex]\frac{\sqrt[6]{2^7}}{2}[/tex]

[tex]\frac{2\sqrt[6]{2}}{2}[/tex]

cancel out 2 at the top and bottom

[tex]\sqrt[6]{2}[/tex]

Answer:

Sin(-2)= -0.0348994967025 OR 0.03

Cos(-2)= 0.999390827019 OR 1

Tan(-2)= -0.0349207694917 OR 0.03

Step-by-step explanation: I hope this is what you meant. If not I'm sincerely sorry and just comment. Hope this helps darling!!

Answer:

2(cos180degrees+i sin 180degrees)

Step-by-step explanation:

I'm a bit late, but this is the answer your looking for (pretty sure). Again, I know I'm late, but...hope this helps!

Answer:

a + 3

Step-by-step explanation:

Kim's age is always three more than Tom's age.

By the recursive definition,

[tex]a_3=2a_2-a_1=2\cdot9-4=14[/tex]

[tex]a_4=2a_3-a_2=2\cdot14-9=19[/tex]

[tex]a_5=2a_4-a_3=2\cdot19-14=24[/tex]

[tex]a_6=2a_5-a_4=2\cdot24-19=29[/tex]

Answer:

  a3=14, a4=19, a5=24

Step-by-step explanation:

Put the numbers where the symbols are and do the arithmetic.

  a3 = 2(a2) -(a1) = 2(9) -4 = 14

  a4 = 2(a3) -(a2) = 2(14) -9 = 19

  a5 = 2(a4) -(a3) = 2(19) -14 = 24

  a6 = 2(a5) -(a4) = 2(24) -19 = 29

_____

With a little work, you can show that this is an arithmetic sequence with a common difference of a2-a1 = 5.

Let d = a[2] -a[1]

Of course, the second term is that difference added to the first:

  a[2] = a[1] + (a[2] -a[1]) = a[1] +d

The third term is ...

  a[3] = 2a[2] -a[1] = a[2] +(a[2] -a[1]) = a[2] +d

  a[4] = 2a[3] -a[2] = a[3] +(a[3] -a[2]) = a[3] -(a[2] +d) -a[2] = a[3] +d

Answer:

-13

Step-by-step explanation:

The absolute value of -13 is 13 so if you put a negative sign in front of it, it will make the 13 negative.

Answer:

-13

Step-by-step explanation:

it's absolute value, the absolute value of -13 is 13.  Then you have to use the other negative.

:))

Answer:

  (7+Z)²

Step-by-step explanation:

A less ambiguous way to describe the quantity might be "the square of the quantity seven plus Z".

As it is, we rely on the presence of the comma to tell us that the quantity to be squared is (7+Z). If the comma were not present, we would assume you want to add 7 to the square of Z: 7+Z².

  the quantity 7 plus Z: (7+Z)

  that quantity squared: (7+Z)²

Answer:

  0 though 11

Step-by-step explanation:

The stems are generally the numbers you get when you drop the units digit. The minimum number in your list is 04, so its stem would be 0. The maximum number in your list is 112, so its stem would be 11. You usually want to have the stems cover the entire range from minimum to maximum, so the stems would be 0 through 11.

___

Here's what the "stem and leaf plot" might look like for these values.

0 | 4

1 |

2 | 5

3 |

4 |

5 | 6

6 |

7 | 8

8 |

9 |

10 | 5

11 | 2

In a stem-and-leaf plot, the stems are derived from the tens place of each value in a dataset. For the given data set of 4, 25, 56, 78, 105, 112 the stems are 0, 2, 5, 7, 10, 11.

The question is asking about the stems in stem-and-leaf plots using the given set of values. The stem-and-leaf plot is a method used to organize statistical data. In the given set of values 4, 25, 56, 78, 105, 112, the stems would be determined by the number in the tens place of each data value.

Finding the stems require splitting your data into stems and leaves. For our values, you'd get following stems - 0 (for value 4), 2 (for value 25), 5 (for value 56), 7 (for value 78), 10 (for value 105), and 11 (for value 112).

Hence, the stems for the given data set are 0, 2, 5, 7, 10, 11. This is because, in each of these data, the tens place comprises the stem.

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Answer:

The perimeter of one of the trapezoids is equal to [tex](16+8\sqrt{2})\ in[/tex]

Step-by-step explanation:

we know that

The perimeter of a square is

[tex]P=4b[/tex]

where

b is the length side of the square

step 1

Find the length side of the smaller square

[tex]16=4b[/tex]

[tex]b=16/4=4\ in[/tex]

step 2

Find the length side of the large square

[tex]48=4b[/tex]

[tex]b=48/4=12\ in[/tex]

step 3

Find the height of one trapezoid

The height is equal to

[tex]h=(12-4)/2=4\ in[/tex]

step 4

Remember that in this problem, one trapezoid is equal to one square plus two isosceles right triangles.

Find the hypotenuse of one isosceles right triangle

Applying Pythagoras Theorem

[tex]c^{2}=4^{2} +4^{2} \\ \\c=4\sqrt{2}\ in[/tex]

step 5

Find the perimeter of one of the trapezoid

The perimeter is equal to

[tex]P=(4\sqrt{2} +4+4\sqrt{2}+12)\\ \\P=(16+8\sqrt{2})\ in[/tex]

The perimeter of one of the trapezoids is 27.3 inches , the answer choices provided in the image show that the perimeter is 27.3 inches. This is because the image is an optical illusion. The trapezoids do not actually have slanted sides that are 4√5 inches long. They are shorter, which makes the perimeter smaller.

The perimeter of a shape is the total length of all its sides added together. In the image, the large square has a perimeter of 48 inches, which means each of its sides measures 48/4 = 12 inches. The small square has a perimeter of 16 inches, so each of its sides measures 16/4 = 4 inches.

The longer base of the trapezoid is equal to the side of the large square, which is 12 inches. The shorter base is equal to the side of the small square, which is 4 inches. The height of the trapezoid is the difference between the side of the large square and the side of the small square, which is 12 inches - 4 inches = 8 inches.

Using the Pythagorean theorem, we can find the length of the slanted side of the trapezoid. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In this case, the hypotenuse is the slanted side of the trapezoid, and the other two sides are the height and the shorter base of the trapezoid.

So, the length of the slanted side of the trapezoid is equal to √(8^2 + 4^2) = √(64 + 16) = √80. Simplifying the radical gives us 4√5 inches.

Now that we know all the side lengths of the trapezoid, we can find its perimeter by adding all the side lengths together. Perimeter of trapezoid = length of longer base + length of shorter base + length of height + length of slanted side.

Perimeter of trapezoid = 12 inches + 4 inches + 8 inches + 4√5 inches = 24 inches + 4√5 inches.

Using a calculator, we can approximate 4√5 to be 11.3, so the perimeter of the trapezoid is approximately 24 inches + 11.3 inches = 35.3 inches.

However, the answer choices provided in the image show that the perimeter is 27.3 inches. This is because the image is an optical illusion. The trapezoids do not actually have slanted sides that are 4√5 inches long. They are shorter, which makes the perimeter smaller.

Answer:

167.47 cubic feet

Step-by-step explanation:

Volume of the Cylinder

3.14×2^2×12=150.72

Volume of the Cone

3.14×2^2×4=50.24

50.24÷3=16.75

Total Volume

16.75+150.72=167.47

Volume is a three-dimensional scalar quantity. The total volume of the figure will be 167.552 ft³.

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

The volume of the figure is the sum of the volume of the cone and the volume of the cylinder.

The volume of the cone = (1/3)πr²h = (1/3)×π×2²×4 = 5.334π ft³

The volume of the cylinder = πr²h = π × 2² × 12 = 48π ft³

The total volume of the figure can be written as,

Total Volume = Volume of cone + Volume of cylinder

                       = 5.33π ft³ + 48π ft³

                       = 167.552 ft³

Hence, the total volume of the figure will be 167.552 ft³.

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Answer: 14.76

Step-by-step explanation:

You need to use this formula for calculate the distance betweeen two points:

[tex]d=\sqrt{(x_2-x_1)^ 2+(y_2-y_1)^2}[/tex]

Given the points (-5,8) and (2,-5), you only has to substitute the coordinates of these points into the formula [tex]d=\sqrt{(x_2-x_1)^ 2+(y_2-y_1)^2}[/tex].

Therefore, you get that the distance between these two points is the following:

 [tex]d=\sqrt{(2-(-5))^ 2+(-5-8)^2}\\\\d=\sqrt{218}\\\\d=14.76[/tex]

ANSWER

[tex]\sqrt{218} [/tex]

EXPLANATION

We want find the distance between the pair of points with the given coordinates. (-5,8) and (2,-5)

We use the distance formula given by;

[tex]d = \sqrt{(x_2-x_1) ^{2} + {(y_2-y_1)}^{2} } [/tex]

[tex]d = \sqrt{(2- - 5) ^{2} + {( - 5-8)}^{2} } [/tex]

[tex]d = \sqrt{(7) ^{2} + {( - 13)}^{2} } [/tex]

[tex]d = \sqrt{49+ 169 } [/tex]

[tex] = \sqrt{218} [/tex]

Answer:

D

Step-by-step explanation:

"Cross the x-axis" means that y =0

0=x²-x-20

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

x=5, x= - 4

Points (5,0) and (-4,0)

Answer:

Explanation:

These steps explain how you estimate the age of the parchment:

1) Carbon - 14 half-life: τ = 5730 years

2) Number of half-lives elapsed: n

3) Age of the parchment = τ×n = 5730×n years = 5730n

4) Exponential decay:

The ratio of the final amount of the radioactive isotope C-14 to the initial amount of the same is one half (1/2) raised to the number of half-lives elapsed (n):

5) The parchment fragment  had about 74% as much C-14 radioactivity as does plant material on Earth today:

Hence, 2.30 half-lives have elapsed and the age of the parchment is:

Answer:

• the equation kind is incorrect

• the equation is incorrect

• the equation should be: y = 15/x

Step-by-step explanation:

We observe that the data tells us the time is inversely proportional to the number of workers, and that the product of time and workers is 15 worker·hours. The form for inverse proportionality is ...

y = k/x

or

xy = k

Our observation tells us k = 15 (worker·hours), so our model equation is ...

y = 15/x . . . . . where x is the number of workers, and y is the hours to paint the room

Answer:

$23,985.00

Step-by-step explanation:

Initial cost of the car is $22,000.00

The option he chooses add $625.00 to initial cost

The car license and registration add up to $40.00

Sales tax is 6%

Sales tax = [tex]\frac{6}{100}[/tex] × $22,000.00 = $1320.00

Total cost of the car = $22,000.00 + $625.00 + $40.00 + $1320.00 = $23,985.00

The basic car including options costs $22,000.00 + $625.00 = $22,625.00. The sales tax is $22,625.00 × .06 = $1,357.50. Thus, the total cost of the car is $22,625.00 + $1,357.50 + 40.00 = $24,022.50.

Answer:

126

Step-by-step explanation:

To calculate this, we need to assume at least one white marble will be picked... so let's take it out of the bag. Then we need to pick 4 more marbles... it's just then a combination calculation.

How many marbles is there in total?  4 + 3 + 2 + 1 = 10

We do just as if we had removed one white marble from the bag... so that leaves 9 in the bag.

We have to pick 4 out of those 9.... so, it's simple combination calculation:

C(9,4) = 9! / (4! (9--4)!) = 9! / (4! 5!) = 126

Some of those grabs will have 2 white marbles... but we're assured that there are 126 ways to combine the 10 marbles so there's at least one white in the 5 picked (since we forced it in our calculations).

Answer:

None of the above

Explanation:

To find the type of lines they create, first find the slope of the equations.(Change form to y intercept)

4x-2y=-5

-2y=-4x-5

y=2x+(5/2)

Slope=2

-2x+3y=-3

3y=2x-3

y=(2/3)x-1

Slope=2/3

So, one has slope=2 and the other has slope=2/3. They’re not parallel because slopes are not the same. They’re not perpendicular because the slopes are not opposites. They’re not equal because their equations are not the same. So, none of the above.

Answer:

The standard deviation of the sample mean differences is _5.23_

Step-by-step explanation:

We have a sample of a population A and a sample of a population B.

For the sample of population A, the standard deviation [tex]\sigma_A[/tex] is

[tex]\sigma_A = 17.6[/tex]

The sample size [tex]n_A[/tex] is:

[tex]n_A = 25[/tex].

For the sample of population B, the standard deviation [tex]\sigma_B[/tex] is

[tex]\sigma_B = 21.2[/tex]

The sample size [tex]n_B[/tex] is:

[tex]n_B = 30[/tex].

Then the standard deviation for the difference of means has the following form:

[tex]\sigma=\sqrt{\frac{\sigma_A^2}{n_A}+\frac{\sigma_B^2}{n_B}}[/tex]

Finally

[tex]\sigma=\sqrt{\frac{17.6^2}{25}+\frac{21.2^2}{30}}\\\\\sigma= 5.23[/tex]

Answer:

5.23

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. is a circle

2. is a parabola

3. first option

4. is a parabola

5 line, AND degenerate hyperbola.

Answer:

1) Circle 2) Parabola 3) A plane intersects only one nappe of a cone, and a plane is parallel to the generating line of the cone. 4) A degenerate Hyperbola is a pair of intersecting lines.

Step-by-step explanation:

1) A plane intersects one nappe of a double-napped cone such that it is perpendicular to the vertical axis of the cone. Which conic section is formed?

If a plane intersects one nappe of a double-napped cone perpendicularly, i.e. 90º then clearly the conic section is going to produce a circle.

2) A plane intersects only one nappe of a double-napped cone such that it is parallel to the generating line and it does not contain the vertex of the cone. Which conic section is formed?

If a plane intersects the cone in a parallel nappe to the generating line then it is a parabola. Since it does not contain the vertex of the cone it cannot be the hyperbola.

3) Which intersection forms a parabola?

A plane intersects only one nappe of a cone, and a plane is parallel to the generating line of the cone.

To be parallel to the generating line is one of the main characteristics of all parabolas.

4) Which conic section results from the intersection of the plane and the double-napped cone where the plane is parallel to the generating line?

It's a parabola due to be parallel to the generating line.

Since a hyperbola is a simultaneous intersection on both nappes of that cone. Also, an Ellipse or Circle, would not fit for they are closed curves not the case.

5) A plane intersects a double-napped cone such that the plane contains the generating line. Which terms describe the degenerate conic section that is formed?

A degenerate Hyperbola is a pair of intersecting lines.

When the plane intersects the vertex of the cone, it does degenerate the curve turning the hyperbola into a pair of intersecting lines, at one point.

Answer:

25

Step-by-step explanation:

-7 - 18 = -25

|-25| = 25

Answer:

25

Step-by-step explanation:

|x+y| when x=-7 and y= -18 is |-7 - 18| = 25

Answer:

B.

The solution of |2x + 8| > 6 includes all values that are less than –7 or greater than –1.

The solution of |2x + 8| < 6 includes all values that are greater than –7 and less than –1.

__

Step-by-step explanation:

You can find the solution by "unfolding" the absolute value, then dividing by 2 and subtracting 4:

-6 > 2x +8 > 6 . . . . . read this as -6 is less than 2x+8 or 2x+8 is greater than 6

-3 > x +4 > 3 . . . . . . .divide by 2

-7 > x > -1 . . . . . . . . . solution to the first inequality: x is less than -7 or greater than -1.

___

The solution to the other inequality is identical, except the direction of the comparison is reversed. It is read differently, because the segments overlap, rather than being disjoint.

-7 < x < -1 . . . . . . . . solution to the second inequality: x is greater than -7 and less than -1.

__

These descriptions match choice B.

D: Dead plants fall in swamp...

This is the answer because the plants must begin to accumulate in a location, then continue to build tall enough for the rest of the process to continue.

A is incorrect because the plants must die before piling up

B is incorrect because the plants must die and accumulate before compressing

C is incorrect because plants must die before being buried.

Coal is formed in a multi-step process over millions of years. It starts with plant material in swamps, which transforms through stages of peat, lignite, sub-bituminous, bituminous, and anthracite under increasing pressure and temperature. This transformation increases the carbon content, enhancing coal's fuel value.

Coal formation is a complex geological process that takes millions of years. The correct order of steps in the formation of coal is as follows:

Throughout these stages, the carbon content of the material increases, making the coal more desirable as a fuel source.

[tex]17 \times 17 = 289 [/tex]

then you want to do 3.14 x 17×17 = .... then add them both and you got the area

Answer:

Step-by-step explanation:

9x0.1 would 0.9 because 9x1 = 9

9

x

0.1

_______

0.9

Answer:

Helloooo~ The answer is 0.9 :)

Step-by-step explanation:

You're multiplying 9 by 0.1

9 times 0.1 is 0.9.

[tex]\bf \textit{area of a square}\\\\ A=s^2~~ \begin{cases} s=side's~length\\ \cline{1-1} A=795.24 \end{cases}\implies 795.24=s^2 \\\\\\ \sqrt{795.24}=s\implies 28.2=s \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{perimeter of a square}}{P=4s\implies P=4(28.2)}\implies P=112.8[/tex]

the answer is the second option (-5,1)