Classify the triangle by its sides.

Step-by-step explanation:

Consider the problem

Let, E 1 and E 2

​  be the respective events of items produced by machine A and B.

And let x be the event that the produced item was found to be defective.

Therefore,

Probability of items produced by machine A,P (E 1)=60%= 53

Probability of items produced by machine B,P (E 2)=40%= 52

And,

Probability that machine A produced defective items, P( E 1 x)=2%= 1002

Probability that machine B produced defective items, P( E 2 x)=1%= 1001

So, the probability that randomly selected items was from machine A is given by P( x E 1)

Now, Apply Bayes' Theorem

P( x E 1)= P(E 1)P( E 1x )+P(E 2)P( E 2x)P(E 1)P( E 1x)= 52× 1001 + 5

3× 1002

53× 100

2= 2+5

6= 11

6

Hence, the required probability of machine A is  

11

6

​

The required answers are,

A.) The probability that the unit is defective is 0.046

B.) The probability that it was manufactured by machine M2​ is 0.4

Probability is the extent to which an event is likely to occur, measured by the ratio of the favorable cases to the whole number of cases.

Now given that,

Product produced by machine M1 = 60%

⇒ P(M1) = 60% = 0.6

Defective units = 5%

⇒ P(D1) = 5% = 0.05

Product produced by machine M2 = 40%

⇒ P(M2) = 40% = 0.4

Defective units = 4%

⇒ P(D2) = 4% = 0.04

Now, a unit is selected at random from the whole product

So, probability that it is defective is given as,

P(D) = P(D|M1) * P(D1) + P(D|M2) * P(D2)

⇒ P(M1|M2) = (0.6 X 0.05) + (0.4 X 0.04)

⇒ P(M1|M2) = 0.03 + 0.016

⇒ P(M1|M2) = 0.046

And probability that it was produced on the first machine(M2).

P(M2|D1) = P(M2∩D1) / P(D1)

⇒ P(M2|D) = (0.4 X 0.04)/0.04

⇒ P(M2|D) = 0.016 / 0.04

⇒ P(M2|D) = 0.4

Thus, the required answers are,

A.) The probability that the unit is defective is 0.046

B.) The probability that it was manufactured by machine M2​ is 0.4

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Answer:

Step-by-step explanation:

slope = m = y'

x² - 3xy = 10

2x - 3y - 3xy' = 0

at (1, -3)

2(1) - 3(-3) - 3(1)y' = 0

2 + 9 = 3y'

y' = 11/3

equation of tangent:

y = -3 + (11/3) (x - 1) = 11x/3 - 20/3

Answer:

Step-by-step explanation:

Rational zeros of f(x) = 8x³-6x²-23x +6 is equals to [tex]2, \frac{-3}{2} , \frac{1}{4}[/tex].

"A rational zero of a polynomial P(x) is defined as when the variable x = p/q  and P (p/q) = 0 where p and q are any integers."

According to the question,

Given,

f(x) = 8x³-6x²-23x +6

Factor of 6 'p' =±1, ±2, ±3, ±6

Factor of 8 'q' = ±1 , ±2, ±4 , ±8

Using trial and error method x=2 is a common factor

Substitute x=2 in f(x) we get,

f(2) = 8(2)³ -6(2)² -23(2) +6

     = 64-24-46+6

      =0

(x-2) is a factor of f(x).

Divide f(x) by (x-2)

[tex]\frac{8x^{3}-6x^{2} -23x+6 }{(x-2)}[/tex]

= 8x²+10x-3

Factorize it we get,

8x²+12x-2x-3

= 4x(2x+3) - 1(2x+3)

= (4x-1)(2x+3)

For rational zeros ,Substitute f(x=(p/q)) =0

x-2=0

⇒ x=2

2x+3=0

⇒x= -3/2

     = [tex]-1\frac{1}{2}[/tex]

4x-1 =0

⇒x=1/4

Hence, Option (C) is the correct answer.

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Answer:

The answer is: √63=√32⋅7=√32⋅√7=3√7 .

Step-by-step explanation:

Answer:

1st one x = BC/5 +9/5

2nd one x = AB/2 - 21/2

Step-by-step explanation:

Answer:

b AND d

Step-by-step explanation:

trust me ON this one

Answer:

B and D is correct

Step-by-step explanation:

f(x) = x+1

as

f(0) = 0+1 = 1

f(2) = 2+1 = 3

f(3) = 3+1 = 4

and so on

Answer:

11ft

Step-by-step explanation:

3+4+2+2=11

Answer:

1, 3, 9, 27, 81

Step-by-step explanation:

A remainder of 2 indicated that the multiplication of any factors will be two less than 83.

Step 1: 83-2=81

Step 2: Find all factors of 81

1, 3, 9, 27, 81

All the different natural numbers are;

⇒ 3, 6, 9, 81

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

All the different natural numbers that each leave a remainder of 2 when divided into 83.

Since, The remainder is 2

So, The value of number = 83 - 2

                                       = 81

Now, All the factors of 81 are,

⇒ 3, 6, 9, 81

Thus, All the natural number which divides the 83 and leave the remainder 2 are,

⇒ 3, 6, 9, 81

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Answer:

the answer is 4

Answer:

x=4

Step-by-step explanation:

7x-15+2x=4x+10-5

9x-15=4x+10-5

9x-15=4x+5

5x-15=5

5x=20

x=20÷5

x=4

Hope this helps! :)

Answer:

100

Step-by-step explanation:

3/4 is a quarter

1/4 of 400 is 100 seeing as 100x4 is 400.

Answer:

well

Step-by-step explanation:

think about it 3 ways so its more than 3 maybe 4 5 6 7 or 9 im not sure

Plant food is indeed dung or a mix of nitrates that are also given to soil to make it fruitful. Plant fertilizers are available in a variety of formats in the market, including water-soluble plant fertilizer, sustained-release crop fertilizer, and many others. Natural organic food is the best option for fertilizing.

Therefore, the final answer is "2nd Choice".

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Answer:

x=16

Step-by-step explanation:

to get the equation of any straight line we simply need two points off of it, hmmm let's use the points in the picture below.

[tex](\stackrel{x_1}{-1}~,~\stackrel{y_1}{-8})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{-8}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-8}-\stackrel{y1}{(-8)}}}{\underset{run} {\underset{x_2}{5}-\underset{x_1}{(-1)}}}\implies \cfrac{-8+8}{5+1}\implies \cfrac{0}{6}\implies 0[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-8)}=\stackrel{m}{0}(x-\stackrel{x_1}{(-1)}) \implies y+8=0(x+1) \\\\\\ y+8=0x+0\implies y=\stackrel{m}{0} x\underset{b}{-8}\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

Answer:

5

Step-by-step explanation:

1. 18-3=15

2. 1+2=3

3. 15÷3=5

Always remember to bear in mind your mathematic vocabulary.

Answer:

x = 6

Step-by-step explanation:

Answer:

Length = 36cm

Width = 12 cm

Step-by-step explanation:

Perimeter = all the sides added up.

Perimeter of a rectangle = L + L + W + W OR  2L + 2W

We are given that the length = 3 times the width. So L = 3W

P = 2L + 2W

96 = 2 (3W) + 2W

96 = 6W +2W

96 = 8W (divide both sides by 8)

W = 12 cm

To find the length-  we know the length is 3 times the width.

So L = 3 x 12 = 36 cm

Answer:

Supplementary angles

Step-by-step explanation:

Those kind of angles are next to each other.

Answer:

adjacent and complimentary angles

Step-by-step explanation:

what I got

Answer:

40%

Step-by-step explanation:

Convert the fraction to a decimal, then multiply by 100.

Esta pregunta esta incompleta

Pregunta completa

El señor Juan tiene una tienda de abarrotes y sus ventas son al mayoreo y al menudeo. La semana pasada recibió dos toneladas de azúcar en 40 sacos de 50 kg cada uno.

Con el azúcar de un saco empacó bolsas de 250 cada una.¿cuantas bolsas en paco​

Answer:

200 bolsas.

Step-by-step explanation:

Se nos dice en la pregunta,

La semana pasada recibió dos toneladas de azúcar en 40 bolsas de 50 kg cada una.

Esto significa

1 bolsa = 50 kg de azúcar.

1 kg = 1000 gramos

50 kg = 50 × 1000 gramos

= 50000 gramos

Por tanto, 1 bolsa contiene = 50000 gramos de azúcar.

A partir de la pregunta anterior, se nos pregunta cuántas bolsas de azúcar obtendría si cada bolsa contuviera 250 gramos.

Por lo tanto:

50000/250 gramos

= 200 bolsas.

Por lo tanto, obtendría 200 bolsas.

Answer:

m = 0

Step-by-step explanation:

Using the slope intercept form. The slop is 0

Answer: m = 0

Explanation: The equation y = 3 can be thought of as y = 0x + 3.

So our line has a slope of 0 and a y-intercept of 3.

When the equation of any line reads "y = a number",

it's graph will always be a flat or horizontal line.

Whenever we have a horizontal line, the slope is always 0

Answer:

you divide the circumference of the circle by 1/4

Step-by-step explanation:

I think this is correct

Answer:

I predict 1,008 people may have cookies as their favorite snack.

Step-by-step explanation:

27 + 21 + 63 + 64 = 175

63         x
----  =  -------
175     2800

Multiply both sides by 16

63 x 16 = 1,008

Polynomial functions' standard form is f(x)=ax^n+bx^n-1...+k

However, polynomials can also be written in intercept form

f(x)=(x-x1)(x-x2)(x-x3)...(x-xn) for roots/zeros x1,x2,x3,...,xn

With the three numbers that you have -2, 3, -4 you can write function

f(x)=(x-(-2))(x-3)(x-(-4))

Then you can simplify and distribute

f(x)=(x+2)(x-3)(x+4)

f(x)=(x^2-x-6)(x+4)

f(x)=x^3+3x^2-10x-24

Which would be the answer

Answer:

I think it is B

Step-by-step explanation:

srry if it turns out to be wrong tho

Answer:

A

Step-by-step explanation:

Wording it differently however it is most likely A since there are 4 boxes of 6 and wording them like the equations to get 6 times as many as 4 since there are 6 in 4 boxes.

13 and 5

let's say the two numbers are x and y

x+y = 18

x-y= 8

x+y+x-y= 18+8

18+8 = 26

2x = 26

x = 13

18-13 = 5

y = 5

Answer:

Sandra will receive 50.4$

Step-by-step explanation:

1.40 x 36 = 50.4

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!

Sandra will receive $50.4 in exchange of her currency.

" Exchange rate is the process of changing currency of one country at the rate of other country."

According to the question,

Bank of France sells  U.S dollars ($) at a exchange rate of = ($1.40)/(€1)

Bank of France  buys U.S. dollars at a exchange rate of = ($1.80)/(€1).

Sandra needs to exchange currency back to U.S. dollars.  =  €36

U.S. dollars received by Sandra in exchange currency = $ ( 1.40 × 36)

                                                                                            = $ 50.4

Hence, Sandra will receive $50.4 in exchange of her currency.

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