Eighteen hats are packaged in 2 boxes. How many hats are packaged in 7 boxes? Justify your answer.

The calculated value of the probability of B is (c) 0.25

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

P(A or B) = 0.3

P(A and B) = 0.2

P(A/B) =0.8

First, we have

P(A/B) = P(A and B)/P(B)

Substitute the known values in the above equation, so, we have the following representation

0.2/P(B) = 0.8

So, we have

P(B) = 0.2/0.8

Evaluate

P(B) = 0.25

Hence, the probability of B is 0.25

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To reach her home in half an hour, she needs to double her speed twice, which is equivalent to a 200% increase in speed. Therefore, the correct answer is 200%.

Speed is a measure of how quickly an object or person moves from one point to another. It is usually expressed in terms of distance traveled over time, for example, miles per hour or kilometers per hour.

To calculate this, we need to find the time taken for her to reach her home if her speed is doubled.

If her initial speed is 40 km/hr, then by doubling her speed, she will be travelling at a speed of 80 km/hr.

By travelling at this speed, she can reach her home in half an hour i.e. 30 minutes.

Therefore, the time taken to reach her destination by doubling her speed is 30 minutes.

The time taken to reach her destination while travelling at her initial speed is 2 hours.

To calculate the percentage increase in speed, we have to find the ratio of the time taken to reach her destination when the speed is doubled to the time taken to reach her destination when the speed is not doubled.

Therefore, the percentage increase in speed

= (30/120) x 100

= 25%.

Since she needs to double her speed to reach her home in half an hour, the percentage increase in speed required is 100%.

To reach her home in half an hour, she needs to double her speed twice, which is equivalent to a 200% increase in speed.

Therefore, the correct answer is 200%.

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Answer:

See below

Step-by-step explanation:

Alternate exterior angles are equal if the lines crossed by the transversal are parallel

15x + 9 = 21x - 27

9 + 27  = 21x - 15 x

x = 6 °

If we divide 300 into parts using the ratio 2:3:5, we get:

2 parts = 2/10 of the total ratio = 2/10 x 300 = 60

3 parts = 3/10 of the total ratio = 3/10 x 300 = 90

5 parts = 5/10 of the total ratio = 5/10 x 300 = 150

Therefore, 300 divided in the ratio 2:3:5 would result in three parts of 60, 90, and 150.

I hope I helped!

~~~Harsha~~~

Answer:

Therefore, a ribeye steak dinner costs $18.772 each, and a grilled salmon dinner costs $10.676 each.

The probability that the metal bars can be cut and sold as a 12cm bar would be = 4/5

Probability is defined as the likelihood or possibility that an event will or will not occur.

The actual length of the metal bars produced by the manufacturer = 15cm.

The malfunctioning of the equipments can lead to the metal being sold at a different length such as = 12 cm

The probability of selling the equipment at 12cm;

= 12/15

= 4/5

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The ratio of the volumes of the two similar solids that have a scale factor of 5:3 is: 125:27.

If two solids that are similar to each other, have volumes A and B respectively, and have a scale factor of a:b, thus, the ratio of their volumes would be expressed as:

Volume of solid A/Volume of solid B = a³/b³

or

Volume of solid A : Volume of solid B = a³ : b³

Thus, the given similar solids have a scale factor of 5:3, therefore, the ratio of their volumes would be expressed as shown below:

5³ : 3³

125 : 27

Thus, the ratio of the volumes of the two similar solids that have a scale factor of 5:3 is: 125:27.

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The expression for the perimeter is P = 12x - 16

The given parameters are

Length = 3x + 1

Width = 3x - 9

The perimeter is calculated as

P = 2 * (Width + Length)

So, we have

P = 2 * (3x + 1 + 3x - 9)

Evaluate

P = 2* (6x - 8)

Expand

P = 12x - 16

Hence, the expression for the perimeter is P = 12x - 16

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Answer:

$70

Step-by-step explanation:

50+20=70

The required expression is given for the Nikko is t = 50 + 20h.

Given that,
The repairman will charge Nikko a flat fee of $50 plus an additional $20 for each hour he needs to work on it.

The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

here,
t is the total cost the repairman charged to Nikko,
h is the number of hours,
repair men charges for h hours = $20h
repair men charge a flat fee of $50.
Total charge, t = 50 + 20h

Thus, the required expression given for the Nikko is t = 50 + 20h.

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Answer:

65

Step-by-step explanation:

The lines are parallell so m1 = m5, and m3=m8. 180-115 is 65

Solution:

Step-1: Find the area of the rectangle.

L = 5/8 foot; B = 4/9 foot

Step-2: Verify all the options.

Looking at all the options, we can see that Option C (1/4 ft²) is the best estimate of the area we obtained as 10/36 and 9/36 are really close fractions.

Thus, Option C is correct.

Answer: 132 miles is the answer

Step-by-step explanation: hope this help people:)

Answer:

THIS IS SO EASY

Step-by-step explanation:

ok ok ok, x=3, because when you are solving for x, you want to separate the 3 right? so you divide 3 by 3x because 3/3 is 1

so

3x

__          =            9

3

cross out 3 from the bottom, and you do that to the other side as well, so

                          9

x        =            -------

                          3

x = 3 since 9/3 is 3 there you go hehe

The list of elements in the sets are as follows:

A.  A ∩ B = {2, 9}

B. B ∩ C = {2, 3}

C. A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}

D. B ∪ C = {2, 3, 5, 7, 9, 10}

Set are defined as the collection of objects whose elements are fixed and can not be changed.

Therefore,

universal set = U = {1,2,3, 4, 5, 6, 7, 8, 9, 10​}

A = {1, 2, 7, 8, 9}

B = {2, 3, 5, 9}

C = {2, 3, 7, 10}

Therefore,

A.

A ∩ B = {2, 9}

B.

B ∩ C = {2, 3}

C.

A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}

D.

B ∪ C = {2, 3, 5, 7, 9, 10}

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Answer:

Use the Pythagorean theorem

Step-by-step explanation:

The value of x for which the two lines are parallel is given as follows:

x = 60º.

We have two parallel lines that are cut by a transversal, and the two angles are between the parallel lines and on the same side of the transversal, meaning that they are consecutive interior angles.

Consecutive interior angles are supplementary, meaning that the sum of their measures is of 180º, hence the value of x can be found as follows:

x + 2x = 180

3x = 180º

x = 180º/3

x = 60º.

The figure is given by the image presented at the end of the answer.

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Answer:

0.07

Step-by-step explanation:

Answer:

\(C = 25.1 \text{ cm}\)

Step-by-step explanation:

We can find the circumference of the circle by plugging the given radius value 8 cm into the formula:

\(C = \pi d\)

Note: This formula can also be written as \(C = 2\pi r\) because \(2r = d\).

↓ plugging in the given radius

\(C = 8\pi \text{ cm}\)

↓ rounding to the nearest tenth

\(\boxed{C = 25.1 \text{ cm}}\)

As stated in the problem description, matrix A transforms the input vector (x, y, and z) into the output vector (y+z, 2x-z, 0).

The matrix A is: | 0 1 1 |, | 2 0 -1 |, | 0 0 0 |

A matrix, sometimes known as matrices, is a rectangular array or table of letters, numbers, or other symbols organized in rows and columns that are used to represent a mathematical object or a characteristic of one.

In linear algebra, matrices describe linear mappings and enable explicit computations. As a result, a significant portion of linear algebra involves the study of matrices, and the majority of the characteristics and operations of abstract linear algebra may be described in terms of matrices. The composition of linear maps, for instance, is represented by matrix multiplication.

Not every matrix has a connection to linear algebra. This is especially true for incidence matrices and adjacency matrices in graph theory.

The matrix A is:

| 0 1 1 |

| 2 0 -1 |

| 0 0 0 |

Applying the matrix multiplication A x y z to any random vector (x, y, z)   will demonstrate why:

| 0 1 1 | | x | | y + z |

| 2 0 -1 | x | y | = | 2x - z |

| 0 0 0 | | z | | 0 |

Hence, as stated in the problem statement, matrix A transforms the input vector (x, y, and z) into the output vector (y+z, 2x-z, 0).

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Answer:

80.4 square units.

Step-by-step explanation:

solution Given:

apothem(a)=5

no of side(n)= 12

Area(A)-?

The area of a regular polygon can be found using the following formula:

\(\boxed{\bold{Area =\frac{1}{2}* n * s * a}}\)

where:

In this case, we have:

First, we need to find S.

We can find the length of one side using the following formula:

\(\boxed{\bold{s = 2 * a * tan(\frac{\pi}{n})}}\)

substituting value:

\(\bold{s = 2 * 5 * tan(\frac{\pi}{12})=2.679}\)   here π is 180°

To find the area substituting value in the above area's formula:

\(\bold{Area = \frac{1}{2}* 12 * 2.679 * 5=80.37\: sqaure\: units}\)

in nearest tenth 80.4 square units.

Therefore, the area of the regular polygon is 80.4 square units.

Answer:

80.4 square units (nearest tenth)

Step-by-step explanation:

The given diagram shows a regular dodecagon (12-sided polygon) with an apothem of 5 units.

The apothem of a regular polygon is the distance from the center of the polygon to the midpoint of one of its sides.

We can calculate the side length of a regular polygon given its apothem using the following formula:

\(\boxed{\begin{minipage}{5.5cm}\underline{Apothem of a regular polygon}\\\\$a=\dfrac{s}{2 \tan\left(\dfrac{180^{\circ}}{n}\right)}$\\\\where:\\\phantom{ww}$\bullet$ $s$ is the side length.\\ \phantom{ww}$\bullet$ $n$ is the number of sides.\\\end{minipage}}\)

Substitute n = 12 and a = 5 into the equation to create an expression for s:

\(5=\dfrac{s}{2 \tan \left(\dfrac{180^{\circ}}{12}\right)}\)

\(s=10\tan \left(15^{\circ}\right)\)

Now we can use the standard formula for an area of a regular polygon:

\(\boxed{\begin{minipage}{6cm}\underline{Area of a regular polygon}\\\\$A=\dfrac{n\cdot s\cdot a}{2}$\\\\where:\\\phantom{ww}$\bullet$ $n$ is the number of sides.\\ \phantom{ww}$\bullet$ $s$ is the length of one side.\\ \phantom{ww}$\bullet$ $a$ is the apothem.\\\end{minipage}}\)

Substitute the found expression for s, n = 12 and a = 5 into the formula and solve for A:

\(A=\dfrac{12 \cdot 10\tan \left(15^{\circ}\right) \cdot 5}{2}\)

\(A=\dfrac{600\tan \left(15^{\circ}\right)}{2}\)

\(A=300\tan \left(15^{\circ}\right)\)

\(A=80.3847577...\)

\(A=80.4\; \sf square\;units\;(nearest\;tenth)\)

Therefore, the area of a regular dodecagon with an apothem of 5 units is 80.4 square units, rounded to the nearest tenth.

Answer:

The median is 20

Step-by-step explanation:

They are already in order so you would just have to find the middle.......

Hope this helps.......if not then sorry for wasting your time and may God bless you

The  equation of the parabola with the following properties y = (-1/4)(x+3)^2 -1

To find the equation of a parabola, we can use the formula f(x) = ax^2 + bx + c, where a, b and c are congruent vertices.

Alternatively, we can use PF = PM to find the equation of the parabola.

vertex is half way between the focus and directrix

It's a downward opening parabola, general form

y= a(x-h)^2 + k

where (h,k) = vertex= (-3,-1)

plug in another point on the parabola to solve for a which gives

am answer with either x coefficient = -1'/4 or =4 Check the math.

one or the other is right another point is the y intercept = 9a-1

Another point is directly to the right of the focus  (-1, -2)  It's 2 down from the directrix and 2 to the right of the focus, equidistant.   plug that point into y= a(x+3)^2 -1 and solve for "a"  

-2 = a((-1+3)^2 -1

-2 = 4a -1

4a = -

a = -1/4

The parabola is y = (-1/4)(x+3)^2 -1

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Answer:

ℎℎ ℎ

Step-by-step explanation:

ℎℎℎℎ ℎ ℎ

The complex numbers graphed on the plane are given as follows:

Complex numbers are number that are divided into a real part and an imaginary part, according to the definition given as follows:

z = a + bi.

In which:

On the complex plane, we have that:

As the number z1 has a horizontal coordinate of 3 and a vertical coordinate of 0, it is given as follows:

z1 = 3 + 0i.

As the number z2 has a horizontal coordinate of 0 and a vertical coordinate of -2, it is given as follows:

z2 = 0 - 2i.

As the number z3 has a horizontal coordinate of -2 and a vertical coordinate of 1, it is given as follows:

z3 = -2 + i.

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Answer:

Step-by-step explanation:

One root is given, 10 - 4√7.

Since the polynomial has to have rational roots and of a minimal degree, the other root is the conjugate of the given and the polynomial is of degree 2 minimum.

The polynomial is:

Answer:

75

Step-by-step explanation:

the value of a triangle is 180 so you add 58 and 47 and you get 105 and the you do 180 - 105 and you get 75

Answer:

-2

Step-by-step explanation:

whenever x pops in substitute x with -4

-2(-4)-10

8-10

-2

Answer:Calculate the amount of total value in each case substituting x or d by 7 and compare the amounts:f(7) = 100*7 + 1000 = $1700g(7) = 1000*(1.1)^7 = $1948.72 (rounded)As we see the option 2 is better choice and the difference is:$1948.72 - $1700 = $248.72:For partb

Step-by-step explanation: