A production process produces 2.5% defective parts. A sample of five parts from the production process is selected. What is the probability that the sample contains exactly two defective parts?

Step-by-step explanation:

we need the length of the arc ?

the length of the arc fully around the circle (360°) is the circumference of the circle : 2×pi×r

and the arc length for 123° is then

2×pi×r×123/360

but we would need r to calculate that. you did not provide that.

the only other thing that comes to mind is : the arc angle is indeed the angle at the center of the circle and is 123°.

i don't know how else to help you, as i cannot think of anything else you might need there.

Answer:

x = - 4

Step-by-step explanation:

i hope its helped. thank you !

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: - \frac{ 3}{5} m + 8 = 20[/tex]

[tex]\qquad \sf  \dashrightarrow \: - \frac{ 3}{5} m = 20 - 8[/tex]

[tex]\qquad \sf  \dashrightarrow \: - \frac{ 3}{5} m =12[/tex]

[tex]\qquad \sf  \dashrightarrow \: - \frac{ }{} m =12 \times \frac{5}{3} [/tex]

[tex]\qquad \sf  \dashrightarrow \: - m = 4 \times 5[/tex]

[tex]\qquad \sf  \dashrightarrow \:m = - 20[/tex]

➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖

Answer: 30 degrees

Step-by-step explanation:

Answer:

[tex]~[/tex]

Step-by-step explanation:

In given right angled traingle:

[tex]~[/tex]

In ∆ABC,

[tex]\: \: \: \: \dashrightarrow \: \: \: \sf \dfrac {AC}{AB} = \sin35° \\[/tex]

[tex]\: \: \: \: \dashrightarrow \: \: \: \sf \dfrac {20}{x} = 0.5736 \\[/tex]

[tex]\: \: \: \: \dashrightarrow \: \: \: \sf x = \dfrac {20}{0.5736} \\[/tex]

[tex]\: \: \: \:{ \pmb{ \pink{ \sf{ \dashrightarrow \: \: \: { x = 34.867 }}}}}[/tex]

Hence,

Answer:

Step-by-step explanation:

Both sin(41) and cos(x) can be represented by the ratio b/c

If the sum of two angles is equal to 90 degrees, then such angles are called complementary angles. The total of the two angles' measurements determines their complement and supplement. The pair of angles is said to be complimentary if the product of the two angles equals the measurement of a right angle. Example:

   40° is the complement of 50°.

   50° is the complement of 40°.

sin (41) = b/c

cos (x) = b/c

∴both sin(41) and cos(x) can be represented by the ratio b/c

x + 41 = 90 (∵ complementary angles)

x = 90-41 = 49

∵ sin 41 = cos x

∴ sin 41 = cos (90-41)

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Answer:

It equals 4

Step-by-step explanation:

1 + 1 x 3=4

Answer:

I think it equals 4

Step-by-step explanation:

1 + 1 x 3=4

Answer:

Perimeter=36in

Length of one side=12

Length of the other side=12

Width of one side=6

Width of the other side=6

Step-by-step explanation:

6*2=12, so if the length is 12 half would be six. All of them added up is 36

Answer:

Step-by-step explanation:

[tex]perimeter \: of \: a \: rectangle = 2(2x) + 2(x) \\ 36in = 4x + 2x = 6x \\ \frac{36in}{6} = \frac{6x}{6} \\ x = 6in \\ 2x = 2 \times 6in = 12in[/tex]

Mark me brainliest!

Answer: 55.2 cm^2

Step-by-step explanation:

2(4x2.5 + 2.5x1.2 + 1.2x4) = 35.6 cm^2

(2x1.2x4 + 4x2.5) = 19.6 cm^2

(35.6 + 19.6) = 55.2 cm^2

Answer:

5.75

Step-by-step explanation:

Make denominator to 100 by multiplying by 25

4*25=100

3*25=75

75/100=.75

Answer:

(i)  [tex]64+192 x^2+240 x^4+160x^6[/tex]

(ii) 1072

Step-by-step explanation:

Part (i)

Using Binomial series formula:

[tex](2+x^2)^6=2^6+6C1 \cdot 2^{6-1}\cdot x^2+6C2 \cdot 2^{6-2}\cdot(x^2)^2+6C3 \cdot 2^{6-3}\cdot(x^2)^3[/tex]

              [tex]=64+6 \cdot 32\cdot x^2+15 \cdot 16\cdot x^4+20 \cdot 8 \cdot x^6[/tex]

              [tex]=64+192 x^2+240 x^4+160x^6[/tex]

Part (ii)

[tex](1-\frac{3}{x^2})^2=(1-\frac{3}{x^2})(1-\frac{3}{x^2})[/tex]

               [tex]=1-\dfrac{6}{x^2}+\dfrac{9}{x^4}[/tex]

[tex](2+x^2)^6(1-\frac{3}{x^2})^2=(64+192 x^2+240 x^4+160x^6)\left(1-\dfrac{6}{x^2}+\dfrac{9}{x^4} \right)[/tex]

[tex]=64-\dfrac{384}{x^2}+\dfrac{576}{x^4}+192x^2-1152+\dfrac{1728}{x^2}+240x^4-1440x^2+2160+...[/tex]

There is no need to keep expanding since the remaining will include the variable.

Therefore, the term independent of x = 64 - 1152 + 2160 = 1072

Answer:

Step-by-step explanation:

120/150  = 0.8

8/10 = 0.8

8x15=120

10x15=150

Answer:

1 is the answer to have the distance same

Answer:

24

Step-by-step explanation:

The the triangles are similar, the lengths of corresponding sides are in proportion.

15/20 = 18/n

3/4 = 18/n

1/4 = 6/n

n = 4 × 6

n = 24

Answer:

n = 24

Step-by-step explanation:

In similar triangles, corresponding sides are in same ratio.

[tex]\dfrac{n}{18}=\dfrac{20}{15}\\\\\\n=\dfrac{20}{15}*18\\\\\\n = 4*6\\\\n = 24[/tex]

The surface area of a cone with circumference base of 24π inches and slant height of 20 inches is 384π inches² in terms of π.

surface area = πr(r + l)

where

Therefore,

l = 20 inches

24π = 2πr

r = 12

Therefore,

surface area  = π(12)(12 + 20)

surface area = 12π(12 + 20)

surface area = 12π × 32

surface area = 384π inches²

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Answer:

B)  384 π square inches

Step-by-step explanation:

E2020

Answer:

x= -28

Step-by-step explanation:

1. First you have to add 14 to both sides to get the x by itself. That's always the first thing you have to do. Get x by itself.

2. After that, you should have -x= 28. You can't leave it like that because it is still not simplified. It's basically saying 28 is the opposite of x. What's the opposite of positive? Negative.

3. Therefore, your final answer should be -28

Answer:

x = -28

Step-by-step explanation:

Hey! First, lets establish our equation :)

-14 -x = 14

Now, we are going to get our x alone on a single side, to do this, we are going to add 14 to both sides to be able to cut out -14 on the left side!

-14 -x = 14

+14      +14

     -x = 28

The last thing we have to do is divide both sides by -1 to get x by itself without it being negative!

-x = 28

÷-1  ÷-1

x = -28

So, x, is equal to -28 (negative 28!) :)

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

Answer:

5b

Step-by-step explanation:

Hope this helps <3

The worth of the old scanner machine in the open market will be $86601.60.

To calculate the worth of the scanner on the open market, it's important to compare the values of the machines.

The calculation of the worth of the scanner goes thus:

Let the worth be represented by x.

x(A/P,10%, 3) - 350000 + 150000(A/F, 10%, 3) = 2000000(A/P, 10%, 3) + 270000 + 875000(A/F, 10%, 3)

= 0.4021x - 350000 + 45315 = -804200 + 270000 + 264337.50

0.4021x = 34822.50

Divide by 0.4021

x = 34822.60/0.4021

x = 86601.60

Therefore, the worth is $86601.60.

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Answer:

z=3t

Step-by-step explanation:

multiply it by 3

Answer:

please see photo for details

Answer:

x = 8/3

Decimal form: 2.66666666667

Step-by-step explanation:

Given:

[tex]x+2x+8=10+6[/tex]

Solution:

[tex]\mathrm{Add\:similar\:terms:}\:x+2x=3[/tex]

[tex]3x+8=10+6[/tex]

[tex]\mathrm{Subtract\:}8\mathrm{\:from\:both\:sides}[/tex]

[tex]3x+8-8=16-8[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]3x=8[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}3[/tex]

[tex]\frac{3x}{3}=\frac{8}{3}[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]x=\frac{8}{3}[/tex]

[tex]x=2.66666666667[/tex]

~lenvy~

Answer/Step-by-step explanation:

Base on the given we are..

Solving for x:

Solve:

X + 2x + 8 = X = 10 + 6          {x+2x= 3x}

3x + 8 = 10 + 6                        {10+6=16}

3x + 8-8=16-8                           {16-8=8}

3x = 8                                  {divide both sides by same term}

3x/3 = 8/3

Therefore,

x = 8/3

Decimal form = 2.66666666667

[RevyBreeze]

Total deduction

Now

Earnings after deduction

Total hours:-

You will have to work 110.5 hours to buy the new computer.

A tax is some specific financial amount or some other charged taxpayer by the government in order to fund government spending.

Given is that you have to buy a new computer for $800.00 or a refurbished computer with the same equipment for $640.00. If you are paid $10.00/hour and your deductions are -

FICA (7.65%),

Federal tax withholding (12%)

State tax withholding (8%).

Total money earned after all the deductions -

A{n} = 10 - {7.65% of 10 + 12% of 10 + 8% of 10}

A{n} = 10 - {7.65/100 x 10 + 12/100 x 10 + 8/100 x 10}

A{n} = 10 - {7.65/10 + 12/10 + 8/10}

A{n} = 10 - 2.765

An = 7.235

Cost of new computer = $800.

For 1 hour. you earned $7.235.

Then, you will earn $1 in (1/7.235) hours

So, you will earn $800 in (1/7.235 x 800) = 110.5

Therefore, you will have to work 110.5 hours to buy the new computer.

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Answer: B

Step-by-step explanation:

The height of the arrow will be 471 feet at 8.35s and 3.53s

An equation is an expression that shows the relationship between two or more numbers and variables.

h represent the height of the arrow after t seconds.

h(t) = -16t² + v₀t + h₀

v₀ is the initial velocity = 190 ft/s, h₀ is the initial height = 0m, hence:

h(t) = -16t² + 190t

At 471 feet:

471 = -16t² + 190t

0 = -16t² + 190t - 471

t = 8.35 or 3.53

The height of the arrow will be 471 feet at 8.35s and 3.53s

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Answer:

5 and 6.

Step-by-step explanation:

7*8 is 56. 56 divided by 10 is 5 6/10

Associative property:-

Lets check one by one

#1

Here the rule is

Hence Yes associative property

#2

Here the rule is

Hence no it's distributive property

#3

Yes

#4

No

Associative property meaning rearranging the parentheses in an expression which will not change the result.

✔A)

[tex]\rightarrow \sf (1\dfrac{2}{5} \ x \ 3\dfrac{1}{2} ) \ x \ 4 = 1\dfrac{2}{5} (3\dfrac{1}{2} \ x \ 4 )[/tex]

[tex]\rightarrow \sf \dfrac{98}{5} = \dfrac{98}{5}[/tex]

This uses associate property as it is rearranged in a different way and result same.

B)

[tex]\rightarrow \sf 2.5 \ x \ (1.8 +6.3) = (2.5 \ x \ 1.8)+(2.5 \ x \ 6.3 )[/tex]

This property is called distributive property. a(b + c) = a(b) + a(c)

✔C)

[tex]\sf \rightarrow 10(4.6 \ x \ 3) = (10 \ x \ 4.6) \ x \ 3[/tex]

[tex]\sf \rightarrow 138 = 138[/tex]

associate property as the following is rearranged inside the parentheses

D)

[tex]\rightarrow \sf 6.3 \ x \ 1 = 6.3[/tex]

This does not fall under any method or else multiplicative identity property.

Answer:

Step-by-step explanation:

Scale:- 1box=1units

So

Take one side of each

Scale factor(A to B)

[tex]\\ \rm\rightarrowtail \dfrac{6}{10}=\dfrac{3}{5}[/tex]

#6

Scale factor (A to B)

[tex]\\ \rm\rightarrowtail \dfrac{12}{6}=2[/tex]

Scale factor (B to A)

[tex]\\ \rm\rightarrowtail \dfrac{6}{12}=0.5[/tex]