A juice factory offers its juice in both bottles and cans. A class of students on a field trip decides to compare the numbers on cases of bottled juice and canned juice that are packaged each minute. The students count the number of cases that are packaged on each assembly line over several minutes.

Answer:

Option A

Step-by-step explanation:

62 and x are consecutive supplementary  angles and so, x = 180 - 62 = 118

And this makes the lines parallel

Answer:

Sonia practices for 96 mins (1 hour 36mins ) 0.8 = 80%

Step-by-step explanation:

Answer:

[tex] JM = 60 units [/tex]

Step-by-step explanation:

Given:

[tex] JM = 9x + 6 [/tex]

[tex] JK = 5x [/tex]

[tex] KM = 3x + 12 [/tex]

[tex] JK + KM = JM [/tex] (segment addition postulate)

[tex] (5x) + (3x + 12) = (9x + 6) [/tex] (substitution)

Solve for x

[tex] 5x + 3x + 12 = 9x + 6 [/tex]

Collect like terms

[tex] 5x + 3x - 9x = -12 + 6 [/tex]

[tex] -x = -6 [/tex]

Divide both sides by -1

[tex] x = 6 [/tex]

[tex] JM = 9x + 6 [/tex]

Plug in the value of x

[tex] JM = 9(6) + 6 [/tex]

[tex] JM = 54 + 6 [/tex]

[tex] JM = 60 units [/tex]

Answer:

The decision Rule is  

Reject the null hypothesis

The conclusion is  

There is sufficient evidence to states that  tim and per's mutations lead to different mean copulation duration.

The  test statistics is  [tex]z =-2.2187[/tex]

Step-by-step explanation:

From the question we are told that

    The Mutation Mean copulation duration is for  per [tex]\= x_1 = 17.5[/tex]

     The Mutation Mean copulation duration is for tim [tex]\= x_2 = 19.9[/tex]

     The Mutation Standard deviation copulation duration for is  per [tex]s _1 = 3.37[/tex]

      The Mutation Standard deviation copulation duration for is   tim [tex]s _2 = 2.47[/tex]

       The sample size for per is  [tex]n_1 = 14[/tex]

       The sample size for tim is  [tex]n_2 = 17[/tex]

The null hypothesis  is  [tex]H_o : \mu_1 = \mu_2[/tex]

The alternative  hypothesis  is  [tex]H_a : \mu_1 \ne \mu_2[/tex]

Generally the test statistics is mathematically represented as

      [tex]z = \frac{\=x_1 - \= x_2 }{ \sqrt{\frac{s_1^2 }{n_1} + \frac{s_2^2 }{n_2} } }[/tex]

=>   [tex]z = \frac{17.5 - 19.9 }{ \sqrt{\frac{3.37^2 }{14} + \frac{2.47^2 }{17} } }[/tex]

=>   [tex]z =-2.2187[/tex]

From the z table  the area under the normal curve to the left corresponding to    -2.2187  is

    [tex]P(Z < -2.2187) = 0.013254[/tex]

Generally the p-value is mathematically represented as

      [tex]p-value = 2 * P(Z <-2.2187 )[/tex]

=>    [tex]p-value = 2 * 0.013254[/tex]

=>    [tex]p-value = 0.02651[/tex]

Let assume that the level of significance is  [tex]\alpha = 0.05[/tex]

So

 From the value  obtained we see that [tex]p-value < \alpha[/tex] hence  

The decision Rule is  

Reject the null hypothesis

The conclusion is  

There is sufficient evidence to states that  tim and per's mutations lead to different mean copulation duration.

Answer:

d. 6b

Step-by-step explanation:

Simplify the following:

[tex] \longrightarrow [/tex] 3(a + 2b) - 3a

3(a + 2b) = 3a + 6b:

[tex] \longrightarrow [/tex] 3a + 6b - 3a

Grouping like terms,

3a + 6b - 3a = 6b + (3a - 3a):

[tex] \longrightarrow [/tex] 6b + (3a - 3a)

3 a - 3 a = 0:

[tex] \longrightarrow [/tex] 6b

Answer:

17.5 km

Step-by-step explanation:

5 km per hour so for 3 hours it would be 15 then 2.5 km for half an hour gives a total of 17.5 km walked in 3 1/2 hours

Answer:17.5

Step-by-step explanation:

Answer:

150 to 117 is 25%

340 to 255 is 25%

450 to 351 is 22%

Step-by-step explanation:

Answer:i added a picture, I hope it’s good.

150 - 22% = 117

340 - 25% = 255

450 - 22% = 351

Answer:

3

Step-by-step explanation:

3 is a factor of 3 and of 18.

Answer: 3

Answer:

3 is the GCF!!!!!!HOPE THIS HELPS!!!

Answer:

Events A and B are independent of each other, so it would be 0.95726

Step-by-step explanation:

Answer:

Step-by-step explanation:

If AB ⊥ CD, then [tex]m_{AB}[/tex] [tex]m_{CD}[/tex] = - 1

P( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )

y - [tex]y_{1}[/tex] = m( x - [tex]x_{1}[/tex] )

~~~~~~~~~~~~~~~~

y = - 2x + 6 and P(3, 3) , m = - 2

Slope of ⊥ line is [tex]\frac{1}{2}[/tex]

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

y = [tex]\frac{1}{2}[/tex] x + [tex]\frac{3}{2}[/tex]  or y = 0.5x + 1.5

Answer:

x≤ -7 or x≥ -4  

Step-by-step explanation:

There is a closed circle at -7 and the line goes to the left

x≤ -7  

There is a closed circle at -4 and the line goes to the right

x≥ -4  

Since they both can't be true at the same time it is an or

x≤ -7 or x≥ -4  

Answer:

He lost 147.35 marks

Step-by-step explanation:

Take the total marks and subtract the marks he got to find the marks he lost

600-452.65= 147.35

600-452.65= 147.35

he lost 147.35 marks

Answer:

Step-by-step explanation:  Simplify both sides of the equation.

0=−16t2+24

Step 2: Add 16t^2 to both sides.

0+16t2=−16t2+24+16t2

16t2=24

Step 3: Divide both sides by 16.

16t^2/16=24/16

t^2=3/2

Step 4: Take square root.

t=± √ 3/2

t=1.224745,−1.224745

Answer:

Rotation then Transition C on Edge.

Step-by-step explanation

Because im smart like that

Answer:

54

Step-by-step explanation:

It’s getting multiplied by 3

so if 6x3=18 then 18x3=54

:DDD

Step-by-step explanation:

5/6 = 50 minutes

50 divided by 7 = (your answer)

Answer:

4000 thousand from relatives and 275 from friends

Answer:

Michael received $2275 ftom relatives and $2000 from friends

Step-by-step explanation:

Let r represent the amount of money from relatives

Let f represent the amount of money from friends

f+r=4275

f+275=r

Use substitution, f+(f+275)=4275

2f+275=4275

2f=4000

f=2000

Substitute 2000 in for f

2000+275=r

2275=r

ANSWER:

Micheal received $2275 from relatives and $2000 from friends

Answer:

y=\log _(5)x

Step-by-step explanation:

Answer:

The answer is 16.3 but if it is asking for a specific answer it is 17. The answer to part B is in the description below

Step-by-step explanation:

Multiply 20 × 16 to get 320, which is not enough days. So multiply 20 × 17 to get 340, which is enough days.

Hope this was helpful!

Answer:

7/10

Step-by-step explanation:

0.7 = 7/10

You can't simply further so this is the final answer.

Answer:

x = 7/9

Step-by-step explanation:

Let x = 0.7777.....

Multiply both sides by 10

10x  = 7.7777......

  x   = 0.7777......      {Subtract}

9x  = 7

 x = 7/9

Answer: (2a+4)(8a-9)

Step-by-step explanation:

16a^3-50a^2+36a                        16(36)=576

                                                                18,32( add to 50, multiply to 576)

16a^3+18a+32a+36

2a(8a-9)4(16-9)

(2a+4)(8a-9)

Answer:

(0, -50)

Step-by-step explanation:

pick any 2 points such as (100,0)  and (120,10)

to get from point (100.0) to point (120,10) you had to rise 10 and run 20

so the slope m =rise 10/run20= 1/2

the equation of the line is (y-y1)=m(x-x1)

(y-0)=(1/2)(x-100) for the slope m=1/2 and point on the line (100,0)

y=( x/2)-50 if you distribute

compare this with the equation

y=mx+b wher m=slope and bb is y-intercept

so the y-intercept is -50

Answer:

b

Step-by-step explanation:

trust

Answer:

270 first question's answer

Step-by-step explanation:

Solution at attachment box

Total surface area of cuboid is = 12x18x2 + 10x12x2 +18x10x2

=432+240+360

=1032

Surface of the 1 cube =2x2x2 = 8

Surface of the all cubes = 8x270 = 2160

Answer:

b. A co-payment is a flat fee for each service, and co-insurance is based on a percentage of the costs incurred.

Step-by-step explanation:

A co-payment can be defined as a relatively small fixed amount of money that is required to be paid by a patient (insured) to a service provider such as a health insurer (health maintenance organization-HMO) as medical expenses before receiving any other service. Some examples of co-payment are the payment of $15 for a visiting gynecologist, £5 for prescribed drugs, ¥20 for x-ray etc.

On the other hand, co-insurance can be defined as the amount of money a patient (insured) is required to pay for a claim or covered charge after a deductible have been satisfied and it is typically expressed as a percentage of the costs incurred. It is usually split between the policyholder and the insurer on a 20% to 80% basis.

Hence, the difference between a co-payment and co-insurance is that, co-payment is a flat fee for each service, and co-insurance is based on a percentage of the costs incurred.

Answer:

answer is b :P

Step-by-step explanation:

Answer:

Hot dogs - 27, soda - 81

Step-by-step explanation:

Soda to Hot dog ratio = 3:1

If the total is 108, we can divide 108/4 ---> 27

now, multiply 3 and 1 by 27 and there you go!

edit: also if you don't know why I divided 108 by 4, its because you add together both sides of the ratio

Answer:

I think so

Step-by-step explanation:

Answer:

$9.20 for 1 toy

Step-by-step explanation:

If it's $46 for 5 toys, we can divide both $46 and 5 to get $9.20 for 1 toy.

Step-by-step explanation:

its takes her 1.2 mins it would take her 126 mins