The function C(x)=20x+4,000 represents the cost to produce x number of items. How many items should be produced so that the average cost is less than $40?

Answer:

6

Step-by-step explanation:

10x=36+4x

6x=36

x=6

Answer:

-8

Step-by-step explanation:

To use substitution to identify if two lines intersect,

1. Rearrange one of the two given equations so that only one variable is on one side of the equation with all other values on the other side of the equation. (if needed)

2. Plug this new equation into the other (in place of a variable)

3. Solve the equation to get the answer of one of the variables

4. Plug this variable into one of the two original equations and solve for the second variable (if needed)

5. Plug both variables back into one of the original equations. If both sides of the equation are equal, the two lines do coincide.

Equation 1: 2x+3y=9

Equation 2: x+8=3

1. Rearrange equation 2

x+8=3

x=3-8

x=-5

2. Plug -5 into the first equation as x

2x+3y=9

2(-5)+3y=9

3. Solve this equation

-10+3y=9

3y=9+10

3y=19

y=[tex]\frac{19}{3}[/tex]

4. Plug x and y back into the first equation

2x+3y=9

2(-5)+3([tex]\frac{19}{3}[/tex])=9

-10+19=9

9=9

Therefore, these two lines do coincide. The point of intersection is (-5,[tex]\frac{19}{3}[/tex]).

To use elimination to identify if two lines intersect:

1. Multiply one or both of the equations by a factor so both equations have either an x or y coefficient that are equal or opposite of each other (if needed)

2. Add or subtract the two equations to get rid of one variable

3. Solve this new equation for a variable

4. Substitute this variable into one of the two equations to solve for the other

5. Plug both variables back into one of the equations. If both sides are equal, the two lines do coincide.

Equation 1: 2x+3y=4

Equation 2: 4x+2y=3

1. For this specific system of equations, we would multiply the first equation by 2.

2x+3y=4

4x+6y=8

Notice how now, both equations have 4x in them, so we can subtract them:

2. Subtract the new equation from the second original equation

 4x+6y=8

- 4x+2y=3

       4y=5

3. Solve

4y=5

y=[tex]\frac{5}{4}[/tex]

3. Substitute y back into the first equations (any of the two equations will work) to solve for x

2x+3y=4

2x+3([tex]\frac{5}{4}[/tex])=4

2x+[tex]\frac{15}{4}[/tex]=4

2x=4-[tex]\frac{15}{4}[/tex]

2x=[tex]\frac{16}{4}[/tex]-[tex]\frac{15}{4}[/tex]

2x=[tex]\frac{1}{4}[/tex]

x=[tex]\frac{\frac{1}{4} }{2}[/tex]

x=[tex]\frac{1}{4}*\frac{1}{2}[/tex]

x=[tex]\frac{1}{8}[/tex]

4. Plug both variables back into the first equation (either equation works)

2x+3y=4

2([tex]\frac{1}{8}[/tex])+3([tex]\frac{5}{4}[/tex])=4

[tex]\frac{1}{4}[/tex]+[tex]\frac{15}{4}[/tex]=4

[tex]\frac{16}{4}[/tex]=4

4=4

Since the left side equals the right side, the two lines are coinciding.

To use graphing methods to identify if two lines coincide, we would just have to graph the line and identify if the two lines meet at a point of intersection/overlap each other.

I hope this helps!

Answer:

40 units

Step-by-step explanation:

An octagon is a polygon with 8 sides. A regular octagon is an octagon in which all their sides and angles are equal to each other.

Since the vertices of a regular octagon are located at (1, 4) and (4,8), hence the length of the side is gotten using the formula for calculating the distance between two points [tex]X(x_1,y_1)\ and\ Y (x_2,y_2)[/tex].

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

Hence:

[tex]Length=\sqrt{(4-1)^2+(8-4)^2}=5\ units[/tex]

Since all the sides of a regular octagon are equal, therefore:

Perimeter = 8 × length = 8 × 5 = 40 units

Step-by-step explanation:

Answer:

g(x)=|(2)(x+4)|-2

Step-by-step explanation:

B=0.5

h= -4

k= -2

Answer: Choice A

Explanation:

The sequence converges to a nonzero value, so as n gets very large, the partial sums will grow forever (since we're effectively adding at least 1 to each term regardless how large n gets)

The reason why [tex]s_n[/tex] approaches 1 is because the 1/n term goes to 0 when n gets very large.

Answer:

This inequality is impossible. Assuming this is realistic, Linda cannot sell part of a box of cookies and therefore cannot make less than $220.

Step-by-step explanation:

Answer:

85/50. 35/50

You would times 17/25 by 5 and you would get 85/50 which would simplify to 1 35/50

you would multiply 7/10 by 5 to get 35/50

Step-by-step explanation:

total value would be 20,000

place value is hundreds of thousands

that's my opinion cuz I didn't fully understand it but I tried thanks

Answer:

158.97 litros

Step-by-step explanation:

Multiply 42 by 3.785 to get 158.97.

Answer:

D

Step-by-step explanation:

It looks right

sorry if it’s wrong

Step-by-step explanation:

therefore the answer is 25/9

Answer:

hope that will help you

w = ( p - 2k )/2

Hi there !

p = 2(k + w)

2k + 2w = p

2w = p - 2k

w = ( p - 2k )/2

Good luck !

Answer:

B. 1,500 millimeters

Answer:

a

This process follows is a binomial  process

b

This process is not a binomial  process

Step-by-step explanation:

Considering the first statement

One basketball player attempts 10 free throws and the number of successful attempts is totaled.

  This process is a binomial  process because

One basketball player attempts 10 free throws and the number of successful attempts is totaled.

   This process is not  a binomial  process because chance that is the probability of success and failure will remain constant throughout the trial is not equal (what this means is that given the number of player is more than on their probability of success and failure will differ.)

Answer:

Casey should use 16 baskets and put 4 red peppers 1 yellow pepper into each one of them.

Step-by-step explanation:

Greatest Common Divisor (GCD)

The GCD of x and y is the maximum possible number that evenly divides both of them.

For example, GCM(36,48) is 12 because 36/12 is a whole number and 48/12 is also a whole number and 12 is the greatest of all possible candidates. Note that 6 is also a common divisor (36/6 and 48/6 are whole numbers), but it's not the maximum.

Casey has 48 red peppers and 16 yellow peppers. Since he wants to put them into baskets in such a way that each basket has the same number of red peppers and the same number of yellow peppers, we must find the greatest divisor for both numbers to maximize the number of baskets.

The GCM(48,16) is 16. Number of red peppers per basket=48/16=4. Number of yellow peppers per basket=16/16=1, thus:

Casey should use 16 baskets and put 4 red peppers 1 yellow pepper into each one of them.

Given:

Step by step explanation:

Step 1:

[tex]4w² − v + 3u[/tex]

Step 2:

[tex] = {4( - 4)}^{2} - 5 + 3 \times 2[/tex]

Step 3:

[tex] = 4(16) - 5 + 6[/tex]

Step 4:

[tex] = 64 - 5 + 6[/tex]

Step 5:

[tex] = 64 + 1[/tex]

Step 6:

[tex] = 65✓[/tex]

Answer:

Step-by-step explanation:

B

Answer:

10,400

Step-by-step explanation:

(36+4)= 40

(262-6+4)= 260

(40)(260)= 10,400

Answer:

10,400

Step-by-step explanation:

Add 36 + 4

40

Now we do the second parentheses.

262 - 6 = 256

256 + 4 = 260

Now we multiply.

40 multiplied by 260 = 10,400

Hope I helped :)

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Answer:

the answer is $332135 for this question

Will he take the job?

He asked whether he would take the job.

Answer:

405 tickets

Step-by-step explanation:

Answer:

45% of 900=900(0.45)=405. The third answer Is correct.

Step-by-step explanation: i took a quiz with this

Answer

-25/27

Step-by-step explanation:

Answer:

1. >

2.>

3.<

4. <

Step-by-step explanation:

I am doing it from top to bottom

I hope this helps! :)

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

 [tex]P(X = 8) =  0.0037[/tex]

b

 [tex]P(X <  5) =  0.805[/tex]

c

 [tex]P(X > 6) =  0.0206[/tex]

I would be surprised because the value is very small , less the 0.05

Step-by-step explanation:

From the question we are told that

The probability a randomly selected individual will not cover his or her mouth when sneezing is [tex]p = 0.267[/tex]

Generally data collected from this study follows  binomial  distribution because the number of trials is  finite , there are only two outcomes, (covering  , and  not covering mouth when sneezing ) , the trial are independent

Hence for a randomly selected variable  X we have that  

   [tex]X \ \ \~ \ \ { B ( p , n )}[/tex]

The probability distribution function for binomial  distribution is  

    [tex]P(X = x ) =  ^nC_x *  p^x *  (1 -p) ^{n-x}[/tex]

Considering question a

Generally the  the probability that among 12 randomly observed individuals exactly 8 do not cover their mouth when​ sneezing is mathematically represented as

     [tex]P(X = 8) =  ^{12} C_8 *  (0.267)^8 *  (1- 0.267)^{12-8}[/tex]

Here C denotes  combination

So

     [tex]P(X = 8) =  495  *  0.000025828 * 0.28867947[/tex]

    [tex]P(X = 8) =  0.0037[/tex]

Considering question b

Generally the probability that among 12 randomly observed individuals fewer than 5 do not cover their mouth when​ sneezing is mathematically represented as

     [tex]P(X <  5 ) =[P(X = 0 ) + \cdots + P(X = 4)][/tex]

=>   [tex]P(X <  5 ) =[ ^{12} C_0 *  (0.267)^0 *  (1- 0.267)^{12-0} + \cdots +  ^{12} C_4 *  (0.267)^4 *  (1- 0.267)^{12-4} ][/tex]

=> [tex]P(X <  5 )  =  0.02406 +  0.10516 + 0.21067 + 0.25580 + 0.20964[/tex]

=>  [tex]P(X <  5) =  0.805[/tex]

Considering question c

Generally the probability that fewer than half(6) covered their mouth when​ sneezing(i.e the probability the greater than half do not cover their mouth when sneezing) is mathematically represented as

      [tex]P(X > 6) =  1 - p(X \le  6)[/tex]

=>    [tex]P(X > 6) = 1 - [P(X = 0) + \cdots + P(X =6)][/tex]

=>    [tex] P(X > 6)=1 - [^{12} C_0 *  (0.267)^0 *  (1- 0.267)^{12-0}+ \cdots + ^{12} C_4 *  (0.267)^6 *  (1- 0.267)^{12-6} ][/tex]

=>    [tex] P(X > 6)= 1 - [0.02406 + \cdots + 0.0519 ][/tex]  

=>    [tex]P(X > 6) =  0.0206[/tex]

I would be surprised because the value is very small , less the 0.05

(a )randomly observed individuals exactly do not cover their mouth when​ sneezing

[tex]P[x=8]=0.0037[/tex]

(b) randomly observed individuals fewer than do not cover their mouth when​ sneezing

[tex]P[x < 5]=0.805[/tex]

(c)  fewer than half covered their mouth when​ sneezing

[tex]P(x > 6)=0.0206[/tex]

It is given in the question that

The probability a randomly selected individual will not cover his or her mouth when sneezing is

[tex]P=0.267[/tex]

Generally, data collected from this study follows  binomial  distribution because the number of trials is  finite, there are only two outcomes, (covering, and  not covering mouth when sneezing ), the trial is independent

The probability distribution function for binomial  distribution is  

[tex]P(x=8)=n C_X\times p^x\times (1-p)^{n-x}[/tex]

Generally, the probability that among 12 randomly observed individuals exactly 8 does not cover their mouth when​ sneezing is mathematically represented as

[tex]P(x=8)=12c_8\times (0.267)^8\times (1-0.267)^{12-8}[/tex]  

[tex]p(x=8)=495\times 0.000025828\times 0.2886794[/tex]

[tex]p(x=8)=0.0037[/tex]

Generally, the probability that among 12 randomly observed individuals fewer than 5 do not cover their mouth when​ sneezing is mathematically represented as

[tex]p(x < 5)=[p(x=0)+......+p9x=4)][/tex]

[tex]p(x < 5)=[12c_0\times(0.267)^0\times(1-0.267)^{12-0}+........+12c_4\times(0.267)^4\times (1-0.267)^{12-4}[/tex]

[tex]p(x < 5)=0.02406+0.10516+0.21067+0.25580+0.20964[/tex]

[tex]p(x < 5)=0.805[/tex]

Generally the probability that fewer than half(6) covered their mouth when​ sneezing(i.e the probability the greater than half do not cover their mouth when sneezing) is mathematically represented as

[tex]p(x > 6)=1-p(x\leq 6)[/tex]

[tex]p(x > 6)=1-[p(x=6)+......+p(x=6)][/tex]

[tex]p(x > 6)=1-[12c_0(0.267)^0\times(1-0.267)^{12-0}+....+12c_4\times(0.267)^6\times(1-0.267)[/tex]

[tex]p(x > 6)=1-[0.02406+.....+0.0519][/tex]

[tex]p(x > 6)=0.0206[/tex]

Thus

(a )randomly observed individuals exactly do not cover their mouth when​ sneezing

[tex]P[x=8]=0.0037[/tex]

(b) randomly observed individuals fewer than do not cover their mouth when​ sneezing

[tex]P[x < 5]=0.805[/tex]

(c)  fewer than half covered their mouth when​ sneezing

[tex]P(x > 6)=0.0206[/tex]

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