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Tomtit [17]
3 years ago
11

A certain shop repairs both audio and video components. Let A denote the event that the next component brought in for repair is

an audio component, and let B be the event that the next component is a compact disc player (so the event B is contained in A). Suppose that P(A)?

Mathematics
2 answers:
zvonat [6]3 years ago
7 0

Answer:

Incomplete question

Complete question:

A certain shop repairs both audio and video components.

Let A denote the event that the next component brought in for repair

is an audio component, and let B be the event that the next

component is a compact disc player (so the event B is contained in

A). Suppose that P(A)= 0.6 and P(B) =0.05. What is P(B|A)?

Answer:

P(B|A)= 1/12 ≈ 0.083.

Step-by-step explanation:

Since B is contained in A, then A∩ B = B and

P(A|B) =

P(A ∩ B)/P(A)

P(B)/P(A)

=0.05/0.6

= 1/12 ≈ 0.083.

tigry1 [53]3 years ago
4 0

Answer:

The question continues ; Suppose that P(A) = 0.625 and P(B) = 0.05, what is P(B|A)

Step-by-step explanation:

The steps are as shown in the attachment

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A regular hexagon has an apothem measuring 14 cm and an approximate perimeter of 96 cm. a regular hexagon has an apothem with le
taurus [48]

<u>The approximate area of the </u><u>hexagon</u><u>  = </u><u>672 cm²</u>

What is hexagon ?

  • In geometry, hexagon is a polygon with 6 sides.
  • If the lengths of all the sides and the measurement of all the angles are equal, such hexagon is called a regular hexagon.
  • In other words, sides of a regular hexagon are congruent.

apothem of the hexagon = 14 cm

perimeter of the hexagon = 96 cm

Area of the hexagon = [(3√3) / 2] a²     ; where a is the measure of the side

hexagon has 6 sides.

Perimeter = 6a

96 cm = 6a

96 cm / 6 = a

16 = a

There are 6 triangles in the hexagon .

Area of a triangle = (height * base) / 2

A = (14 cm * 16 cm) / 2

A = 224 / 2

A = 112 cm²

The approximate area of the hexagon = 112 cm²  * 6 triangles = 672 cm²

Learn more about hexagon .

brainly.com/question/3295271

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7 0
1 year ago
Use​ DeMoivre's Theorem to find the indicated power of the complex number. Write the answer in rectangular form.
slava [35]

Answer:

After solving the power:

\bold{2(cos60^\circ+isin60^\circ)}

Rectangular form:

\bold{1+i\sqrt3}

Step-by-step explanation:

Given the complex number:

2(cos20^\circ+isin20^\circ)^3

To find:

The indicated power by using De Moivre's theorem.

The complex number in rectangular form.

Rectangular form of a complex number is given as a+ib where a and b are real numbers.

Solution:

First of all, let us have a look at the De Moivre's theorem:

(cos\theta+isin\theta )^n=cos(n\theta)+isin(n\theta )

First of all, let us solve:

(cos20^\circ+isin20^\circ)^3

Let us apply the De Moivre's Theorem:

Here, n = 3

(cos20^\circ+isin20^\circ)^3 = cos(3 \times 20)^\circ+isin(3 \times 20)^\circ\\\Rightarrow cos60^\circ+isin60^\circ

Now, the given complex number becomes:

2(cos60^\circ+isin60^\circ)

Let us put the values of cos60^\circ = \frac{1}{2} and sin60^\circ = \frac{\sqrt3}{2}

2(\dfrac{1}{2}+i\dfrac{\sqrt3}2)\\\Rightarrow (2 \times \dfrac{1}{2}+i\dfrac{\sqrt3}2\times 2)\\\Rightarrow \bold{1 +i\sqrt3 }

So, the rectangular form of the given complex number is:

\bold{1+i\sqrt3}

3 0
3 years ago
#6) Beth saved a total of $30 per month for her first car. Beth saved
babymother [125]

Answer:

Domain = 0≤m≤20 for mEZ+

Range = $100≤A≤$700 for all values of m

Step-by-step explanation:

Initial amount in the account = $100

Amount saved by beth monthly = $30

Amount in the bank after X month = $100+$30X where X is the number of months beth intend to save up to.

The amount in her bank in her first month = $100+$30(1)

= $100+$30

= $130

Amount saved in the second month will be when X = 2

= $100+$30(2)

= $100+$60

= $160

The amount in the bank will keep increasing by $30 monthly until the 20month.

The amount he will have in her bank in the 20th month will be at when X = 20

= $100+30X

= $100+30(20)

= $100+$600

= $700

This means that her money will be $130 in the first month and will keep increasing until it reaches $700 in the 20th month.

The DOMAIN will be the interval of the time she used in saving. Since she saved for 20months, the domain will be expressed as 0≤m≤20 for mEZ+ where m is the number of month she uses to save.

The Range will represent the amount she saved within the specified time and will be expressed as $100≤A≤$700 for all values of m.

Where $100 is the amount in the account initially and $700 is the amount in the account after 20 months.

3 0
3 years ago
Need answer asap. will give thanks
kompoz [17]
The answer of the larger circle = 254.34
Formula = radius*radius*π

The answer of the smaller circle = 113.04

254.34 - 113.04 = 141.3

Hope this helped☺☺
4 0
3 years ago
Read 2 more answers
Which of the following numbers is NOT a solution of the inequality: 6x + 11 &gt; 7x - 2?
asambeis [7]

Answer:

x<13

Step-by-step explanation:

3 0
2 years ago
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