PLEASE HURRY I WILL GIVE BRAINLIEST AND 5 STAR AND HEART! THANK YOU!

 PLEASE HURRY I WILL GIVE BRAINLIEST AND 5 STAR AND HEART! THANK YOU!

Answers

Answer 1

Answer:

I believe it is 55°.

I can't remember the exact steps for this tho.

I hope it is right! good luck!


Related Questions

if 2/5 of the sweets in a bag is 60, how
many sweets would represent 1/3

Answers

Answer:

50 Candy

Step-by-step explanation:

We know that 2/5 of the bag is 60 candy. By taking this information we can conclude that 1/5 of the bag is 30 candy. We know that 1/5 of the bag is 30, so 30 times 5 is 150 candy.

Now that we have found out that there is 150 candy total we can know divde 150 by 3 to find out how much candy is in 1/3 of the bag.

150/3 = 50 Candy

1/3 of the bag represent 50 candy.

Find the midpoint given the endpoints (4,-10) (22,-4) Please do not use space when
typing in your answer

Answers

Answer: (13,-7)

Step-by-step explanation:

By using the formula [tex](x_{m},y_{m}) =(\frac{x_{1}+x_{2} }{2},\frac{y_{1}+y_{2} }{2} )[/tex]

[tex](x_{m},y_{m})\\[/tex] is the coordinates of the midpoint.

For finding the midpoint X variable do:

[tex](\frac{4+22}{2})=13[/tex]

For finding the midpoint Y variable do:

[tex]\frac{-10+(-4)}{2} = -7[/tex] (you can either keep the parenthesis or take them out. Either way, the answer is the same.

Considering coordinate numbers follow the format: (x,y), you'll simply just substitute the numbers found above into their respective places.

x: 13

y: -7

(13,-7).

Help ME PLS IM FAILING PYTHAGOREAN THEOREM I NEED HELP NOW

Answers

Answer:

3.9

Step-by-step explanation:

We can use the Pythagorean theorem

a^2 +b^2 =c^2 where a and b are the legs and c is the hypotenuse

7^2 + h^2 = 8^2

49 + h^2 = 64

h^2 = 64-49

h^2 = 15

Taking the square root of each side

sqrt(h^2) = sqrt(15)

h = 3.87298

To the nearest tenth

h = 3.9

Find the length of x. Assume the triangles are similar.


A. 2.5

B. 4.4

C. 4.0

D. 3.5

Answers

Answer:

the answer is get to be D-3.5

8x(x-2017)-2x+4034=0

Answers

Answer:

¼ và 2017

Step-by-step explanation:

Find the third term of (x^2 + 2)^4.

Answers

Answer:

Step-by-step explanation:

[tex]in~the~expansion~of~(x+a)^n\\T_{r+1}=ncr x^{n-r}a^r\\r+1=3\\r=3-1=2\\n=4\\4c2=\frac{4 \times 3}{2 \times 1} =6\\T_{2}=4(x^2)^{4-2}(2)^2\\=16(x^2)^2\\=16x^4[/tex]

the third term is: 24*x^4

We want to find the third term of the equation:

(x^2 + 2)^4

So we need to expand that.

Remember the rule:

(a + b)^2 = a^2 + 2*a*b + b^2

(a + b + c)^2 = a^2 + b^2 + c^2 + 2*a*b + 2*b*c + 2*c*a

Then we can write:

(x^2 + 2)^4 = (x^2 + 2)^2*(x^2 + 2)^2

and we have:

(x^2 + 2)^2 = (x^4 + 2*2*x^2 + 2^2) = (x^4 + 4*x^2 + 4)

Then we have:

(x^2 + 2)^4 = (x^2 + 2)^2*(x^2 + 2)^2

(x^2 + 2)^4 = (x^4 + 4*x^2 + 4)^2

And we can expand this as:

(x^4)^2 + (4*x^2)^2 + 4^2 + 2*(x^4)*(4*x^2) + 2*(4*x^2)*(4) + 2*(x^4)*(4)

now we have this expanded, so we need to simplify this:

x^8 + 16*x^4 + 16 + 8*x^6 + 32*x^2 + 8*x^4

Putting the terms in order (larger degrees go in the left) we get:

x^8 + 8*x^6 + 16*x^4 + 8*x^4 + 32*x^2 + 16

x^8 + 8*x^6 + (16 + 8)*x^4 + 32*x^2 + 16

x^8 + 8*x^6 + 24*x^4 + 32*x^2 + 16

So the third term would be the third counting from the left, which is:

24*x^4

If you want to learn more, you can read:

https://brainly.com/question/12556222

The sum of three numbers is 78. The second number is 10 more than the first, and the third number is two times the second number.

1. Write an equation that will help you determine the 3 numbers.
2. Solve the equation showing all your steps.
3. Tell what the 3 numbers are.

Answers

Step-by-step explanation:

a+b+c=78

b=10+a

c=2b

then, we back the first

a+10+a+2b=78

2a+2b=78- 10

2a+2(10+a)=68

2a+2a=48

4a=48

a=12

b=22

c=44

whats 12 times 12 times 12 times 12 times 12 plus 1 plus 9 puls 1,000

Answers

Answer:

249,842

Step-by-step explanation:

to simplify it down, instead of 12*12 multiple times, i went with 12^5 ; 12 to the fifth power

12^5 + 1 + 9 + 1000

248,832 + 1 + 9 + 1000

248,832 + 1010 = 249,842

go to gauthmath's sub reddit if needing more things ^^

Answer: 249842

Step-by-step explanation: when 12 multiplies it self 5 times

                                             [tex]12^{5}[/tex]

                                           =248832

                                Addition of 1,9 and 1000

                                    =1 + 9 + 1000

                                    =1010

                               Sum total = 248832 +1010

                                                 =249842

                                                 OR

                               12×12×12×12×12+1+9+1000

                                =249842

I need help to find W =

Answers

Answer:

120

Step-by-step explanation:

Since the figures are similar the angles are the same

<A = <F

<B = <E

<C = <C

<D = <G

We know <G = 120 so angle D = 120

W = <D = 120

Answer:

w = 120 degrees

Step-by-step explanation:

ABCD and FECG are the same shapes, which means they also have the same angles.

∠A = ∠F

∠B = ∠E

∠C = ∠C

∠D = ∠G

∠G = 120°, so D = 120°

So, w = 120°


Find the measure of

Answers

Answer:

74 degrees

.................

Answer:

74

Step-by-step explanation:

BEC and CED form a straight line so they add to 180

BEC+CED = 180

106+ CED = 180

CED = 180-106

CED = 74

In a right triangle the two legs are measures of 4x and 3x with a hypotenuse measurement of 5x. If the area of the triangle is 24 square units, find the cosine of each acute angle.

Answers

The cosine of the acute angles are 0.80 and 0.60 respectively

The given parameters are:

[tex]Leg\ 1 = 4x[/tex]

[tex]Leg\ 2 = 3x[/tex]

[tex]Hypotenuse = 5x[/tex]

Let the acute angles be [tex]\alpha[/tex] and [tex]\beta[/tex]

The cosine of the acute angles is calculated using:

[tex]\cos(\alpha) = \frac{Leg\ 1}{Hypotenuse}[/tex]

[tex]\cos(\beta) = \frac{Leg\ 2}{Hypotenuse}[/tex]

So, the formula becomes

[tex]\cos(\alpha) = \frac{4x}{5x}[/tex]

[tex]\cos(\alpha) = \frac{4}{5}[/tex]

[tex]\cos(\alpha) = 0.80[/tex]

and

[tex]\cos(\beta) = \frac{3x}{5x}[/tex]

[tex]\cos(\beta) = \frac{3}{5}[/tex]

[tex]\cos(\beta) = 0.60[/tex]

Hence, the cosine of the acute angles are 0.80 and 0.60 respectively

Read more about cosines at:

https://brainly.com/question/19923448

Hey I’m having trouble finding out how to divide fractions

Answers

The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. Finally, simplify the fractions if needed.

I will mark as the brillianest plzzzzzzzzzzzzzzzzzzzz be helpful to me ......
c) If C.P. = Rs 750, loss percent = 8% find S.P.​

Answers

Answer: SP is Rs 690

Step-by-step explanation:

CP= Rs 750

loss percent = 8%

so

loss = 8% of CP

= 8/100 * 750

= Rs 60

Loss = Rs 60

so

SP = Rs 750-60

= Rs 690

Answer:

here,

CP=750

loss%=8%

now,

SP= (100-L)×cp/100

= (100-8)×750/100

= (92×750)/100

= 69000/100

= 690

hence the SP of the article is Rs 690

any problem then comment it

hope this helped you ☺️

Match each equation to its graph. Use the drop-
down menus to describe the equations.

Answers

Answer:

D.  y=x+1                   Linear

A.   y=x^2                 Quadratic

B.   y=(3/2)^x             Exponential

C.   y=x^2+2/x^2-2    Rational

Step-by-step explanation:

got it right :)

The correct option for the equations are:

y=x+1 : Option Dy=x²: Option Ay=(3/2)ˣ: Option By=(x²+2)/(x²-2) : Option C

What is a linear equation?

The linear equation is an equation whose highest degree of the variable is 1 which represents the graph of the straight line.

For example y=2x+3

What is a quadratic equation?

The quadratic equation is an equation whose highest degree of the variable is 2 and it has at most 2 solutions.

For example, y=3x²

Here given that the functions are given in the figure and we have to identify the appropriate graph.

Checking all the equations individually

y=x+1 the correct option for this equation is Option D as it is a linear equation that represents a straight line.y=x² the correct option for this equation is Option A as it is a quadratic equation that represents a parabola.y=(3/2)ˣ the correct option for this equation is Option B as it is an exponential equation that represents an exponential graph such as the graph of y=aˣ.y=(x²+2)/(x²-2) the correct option for this equation is Option C as from the equation it is clear that it is symmetrical about the y-axis and it is negative for the value x²<2⇒ -√2<x<√2 which matches with the graph in Option D.

Therefore the correct option for the equations are:

y=x+1 : Option Dy=x²: Option Ay=(3/2)ˣ: Option By=(x²+2)/(x²-2) : Option C

Learn more about linear equation

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In an experiment, a student is to flip a quarter 10 times and record the number of times heads appears. A group of students performs the experiment 21 times, with these results.

6 4 5 6 5 6 4 6 2 4 3 4 5 7 5 8 7 5 3 5 5

Construct a dotplot with these data and then identify the dotplot you created.

Answers

Answer:

The average, mode, and median of the results are 5, meaning that half of the time the quarter will land on heads.

Step-by-step explanation:

The required dot plot shows the result of the experiment performed by flipping a quarter 21 times.


In an experiment, a student is to flip a quarter 10 times and record the number of times heads appears. A group of students performs the experiment 21 times, with these results. 6 4 5 6 5 6 4 6 2 4 3 4 5 7 5 8 7 5 3 5 5.


What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

What is Statistic?

Statistics is the study of mathematics that deals with relations between comprehensive data.

Here,
The dot plot has been made, for the number of outcomes and their frequencies. The dot plot gives the info about the mean mode and median.

Thus, the required a dot plot showing the result of the experiment performed by flipping a quarter 21 times.

Learn more about arithmetic here:

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If (3x2 + 22x + 7) ÷(x + 7) = 3x + 1, then (x + 7)( ) = . The check of the polynomial division problem shows that the product of two polynomials is a polynomial. This supports the fact that the property is satisfied for polynomial multiplication.

Answers

Answer:

[tex](x + 7) * (3x + 1) = (3x^2 + 22x + 7)[/tex]

Step-by-step explanation:

Given

[tex](3x^2 + 22x + 7) \div (x + 7) = 3x + 1[/tex]

[tex](x + 7) * (\ ) = [\ ][/tex]

Required

Complete the blanks

We have:

[tex](3x^2 + 22x + 7) \div (x + 7) = 3x + 1[/tex]

Rewrite as:

[tex]\frac{(3x^2 + 22x + 7) }{ (x + 7)} = 3x + 1[/tex]

Cross multiply

[tex](x + 7) * (3x + 1) = (3x^2 + 22x + 7)[/tex]

Answer:

Answer B, C, C

3(t-3)=5(2t+1) solve the following linear equations

Answers

Step-by-step explanation:

3(t-3)=5(2t-1)

= 3t-9=10t-5

= 3t-10t = -5+9

= -7t = 4

= -t = 4/7

= - 4/7 Answer

hope it helps

Answer 3(t-3) = 5(2t+1): t = -2
T= -2


Plz mark brainliest if it helps

Patients in a hospital are classified as surgical or medical. A record is kept of the number of times patients require nursing service during the night and whether or not these patients are on Medicare. The data are presented here: Patient Category Medicare Surgical Medical Yes 46 52 No 36 43 Test the hypothesis (using ) that calls by surgical-medical patients are independent of whether the patients are receiving Medicare. Find to 2 decimal places the P-value for this test. The evidence Choose the answer from the menu in accordance to the question statement sufficient to claim that surgical-medical patients and Medicare status are dependent.

Answers

Answer:

Following are the solution to the given question:

Step-by-step explanation:

Given:

[tex]N= 177\\\\a=46\\\\b=52\\\\c=36\\\\d=43[/tex]

[tex]\to \chi _{1}^{2}=\frac{N(ad-bc)^{2}}{(a+c)(b+d)(a+b)(c+d)}[/tex]

         [tex]=\frac{177((46\times 43)-(52 \times 36))^{2}}{(98)(79)(82)(95)}\\\\=\frac{177((1978)-(1872))^{2}}{60310180}\\\\=\frac{177(106)^{2}}{60310180}\\\\=\frac{177(11236)}{60310180}\\\\=\frac{1988772}{60310180}\\\\= 0.032976[/tex]

P-value= [tex]CHIDIST(0.032976,1) = 0.86.[/tex]

thus, the surgical-medical patients and Medicare are dependent.

what is the total cost

Answers

Answer:

Step-by-step explanation:

We need to first find the perimeter of this oddly-shaped rink. We have a rectangle for which we are enclosing 3 of its sides, and the fourth "side" is a half-circle. Let's find the perimeter (or circumference) of the circle, divide it in half because we have half a circle, then add in the remaining 3 sides from the rectangle, shall we?

C = πd. The diameter of the circle is the same as the shorter length in the rectangle, 26. Therefore,

C = (3.14)(26) so

C = 81.64 m for a whole circle, and for half of that circle, the circumference is

C = 40.82 m

Now we can find the perimeter of the rink:

40.82 + 61 + 26 + 61 = p so

p = 188.82 m

If the fencing costs $6.20 per meter and we have 188.82 m, then the total cost is

[tex]cost=\frac{6.20dollars}{meter}*188.82meters[/tex]. The label "meter" cancels out, leaving us with

cost = $1170.82

You start at (1, 6). You move up 1 unit and right 7 units. Where do you end?

Answers

Answer:

(8,7)

Step-by-step explanation:

Because our x-value for this ordered pair is 1, and it says to move to the right 7 units, 1+7 = 8. Therefore, our x-value for the ordered pair would be 8.

Because our y-value for this ordered pair is 6, and it says to move up 1 unit, 6+1=7. Therefore, our y-value for the ordered pair would be 7.

Once we have our x- and y-value, we can set up the ordered pair:

(8,7)

Answer:

(7, 8)

Step-by-step explanation:

In the picture below, when the point is moved up, it only changes the y part of the point, and the x part is kept the same. When the point is moved right by 7 units, the x part is changed while the y part is kept the same.

Hope this helps.

What statement describes the graph?

Answers

Answer:

D.

Step-by-step explanation:

The gragh crosses the y-axis at (0,-5), decreasing from x=-10 to x=-2 and remaining constant from x=-2 to x=10

the width of a rectangle is twice as long as the length. if the length is increased by 50% and the width is decreased by 20%, the perimeter becomes 248. find the width and length of the original rectangle.
will give brainliest to correct answer

Answers

Answer:

Step-by-step explanation:

I answered your question in #24317186. Apparently you asked it twice and no one helped you yesterday.

Please help solve for x

Answers

Answer:

8.49

Step-by-step explanation:

there is a little formula related to the famous formula of Pythagoras.

it says that the height of a triangle is the square root of the product of both segments of the baseline (the segments the height splits the baseline into).

so, x is actuality the height of the triangle.

x = sqrt(3×24) = sqrt(72) = 8.49

A private and a public university are located in the same city. For the private university, 1046 alumni were surveyed and 643 said that they attended at least one class reunion. For the public university, 804 out of 1315 sampled alumni claimed they have attended at least one class reunion. Is the difference in the sample proportions statistically significant

Answers

Answer:

To find if the difference is statistically significant, we'll find the p-value and compare it to the significance level. If it's smaller, then it's significant.

Because the problem didn't state a specific significance level, I'm going to use the most common one p = 0.05.

On a graphing calculator, I conducted a 2-Proportion Z-test. It resulted in zTest_2Prop 643,1046,804,1315,0: stat.results and the p-value is shown as around 0.869485.

Set p₁ ≠ p₂ as we're trying to show that the two proportions are far in value, not whether one is greater/lesser than another.

Since 0.869 > 0.05, the difference in the sample proportions is not statistically significant.

Solve 4 sinx + 9 cosx=0 for 0° ​

Answers

4 sin(x) + 9 cos(x) = 0

4 sin(x) = -9 cos(x)

tan(x) = -9/4

x = arctan(-9/4) + … … … (in radians)

or

x = arctan(-9/4) + 180n ° … … … (in degrees)

where n is any integer.

I'm guessing you're solving for x over some domain, probably 0° ≤ x < 360°. In that case, you would have two solutions for n = 1 and n = 2 of

x ≈ 113.96°   and   x ≈ 293.96°

Parametric equation of the line d: 4x-3y+17=0

Answers

Answer:

x = t/4 and y = (t+17)/3

Step-by-step explanation:

4x-3y+17=0

or, 4x=3y-17

let, 4x = t

so, x = t/4

and 3y-17 = t

or, 3y = t+17

or, y = (t+17)/3

Answered by GAUTHMATH

Instructions: Find the missing side of the triangle.
24 and 7

Answers

We can use the Pythagorean theorem to solve this. The Pythagorean theorem is a^2 + b^2 = c^2. We already have a and b, we need to find c. 24^2 + 7^2 is 625. Then, we need to find the square root of 625 to find c. The answer is 25. x = 25.

If 24 and 7 are the lengths of the legs of the right triangle, the missing side, which is the hypotenuse, has a length of 25.

To find the missing side of the triangle, we need more information about the triangle. Specifically, we need to know which side is missing: the hypotenuse (longest side) or one of the legs.

If 24 and 7 are the lengths of the legs of a right triangle, we can use the Pythagorean theorem to find the length of the hypotenuse.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs.

Let's label the hypotenuse as 'c' and the legs as 'a' and 'b'.

Using the Pythagorean theorem:

[tex]c^2 = a^2 + b^2[/tex]

Substituting the given values:

[tex]c^2 = 24^2 + 7^2\\c^2 = 576 + 49\\c^2 = 625[/tex]

Taking the square root of both sides:

c = √625

c = 25

Therefore, if 24 and 7 are the lengths of the legs of the right triangle, the missing side, which is the hypotenuse, has a length of 25.

To know more about  lengths , here

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If two natural numbers are n and (n+3) prove that the differences of their square is an even numbers

Answers

Answer and explanation:

Given two natural numbers n and n+3, we prove that the difference or their squares is even thus:

(n+3)²-(n)²= (n+3)(n+3)-(n)²

=n²+3n+3n+9-n²

=6n+9

Since the value of the difference of square of the natural numbers n and n+3 is in the form 6n+9, the difference is not an even number.

If n(A)=36, n(B)=10, n(AU B) = 40 and n(A) = 27 find n(U) and n(AB​

Answers

Answer:

n(A∪B)=n(A)+n(B)−n(A∩B)−−−−−−−(1)

Given n(A)=7

n(B)=9

n(A∪B)=14

Substituting in 1

14=7+9−n(A∩B)

⇒n(A∩B)=16−14=2

Step-by-step explanation:

ok

Answer:

The question is incomplete.

It should be:

If n(A)=36, n(B)=10, n(A∪B)=40, and n(A')=27. Find n(∪) and n(A∩B)

Find n(U)

n(A') = n(∪) - n(A)27 = n(∪) - 36n(∪) = 27 + 36n(∪) = 63

Find n(A∩B):

n(A∪B) = n(A) + n(B) - n(A∩B)40 = 36 + 10 - n(A∩B)n(A∩B) = 46 - 40n(A∩B) = 6

Bret wants to take an advert out in a newspaper. The page has a length of 36cm. An advert will take 1/3 of the length of the page. Bret says the advert needs to be 11cm in length. Is Bret correct? Show your working out and state a clear answer.

Answers

Answer:

I don't think so

Step-by-step explanation:

the length of the newspaper page=36cm

the advert will take 1/3 of the page=1/3*36=12

so the advert takes12 cm and he says it has to be 11 cm which is not right .

I hope this helps

Other Questions
To what extent do you agree to the assertion that Ghana is a nation. The master budget of a merchandising company includes a:_______a. Production budget. b. Direct materials budget. c. Factory overhead budget. d. Direct labor budget. e. Purchases budget. Research and describe plug-ins and their usage in graphic design. Richard needs to copy information from another slide presentation that uses a different design template. To ensure that the information he is copying looks right, which option should he choose?Use Destination themePictureKeep text onlyInsert same list any six area where computer used A student decides she wants to save money to buy a used car, which costs $2600.She comes upwith what she thinks is a very modest savings plan. She decides to save 2 cents the first day anddouble the amount she saves each day thereafter. On the second day she plans to save 4 cents, onthe third day, 8 cents, and so on.(a)Write an expression that represents the amount savedon dayn;(b)Write an expression that represents the total amount savedby dayn (including day n);(c)Determine how long it will take her to save enough money to buy the car (The answermay surprise you!) PLZ ANSWER QUESTION IN PICTURE Scenario: Lucille Cloyd is an 83-year-old patient who has been diagnosed with heart disease and is seeing Dr. Neill for treatment. Her daughter, Sarah Smithson, helps care for her and frequently accompanies her mother to Dr. Neil's office. Mrs. Cloyd is widowed and visits the physician once a month, in addition to receiving home care services. The medical assistant must consider not only the needs of Mrs. Cloyd but also those of her extended family. Compassion and sensitivity are necessary to care for this patient, in addition to excellent therapeutic communication skills.What communication barriers might exist between patients and healthcare workers?How does the medical assistant effectively communicate with a patient's family members?How will developing good therapeutic communication skills make the medical assistant more effective? Heat Tough Inc. makes heat-proof copper cookware in the United States, and it is looking to distribute its products in Europe. Rather than build and maintain a manufacturing facility in the United Kingdom, the company decides to ship its products directly from its plant in Illinois. What type of entry mode is the company using How did World War II come to an end in Europe and the Pacific? 3) A lead bullet initially at 30 C just melts upon striking a target. Assuming that all of the initial kinetic energy of the bullet goes into the internal energy of the bullet to raise its temperature and melt it, calculate the speed of the bullet upon impact. (Specific heat of lead is 0.128 kJ/kg K and lead latent heat of fusion is 24.7 kJ/Kg and melting point of lead is 600 K). Which phrase best completes the diagram showing the structure of statejudicial branches??Intermediateappellate courtsCourts of lastresortA. Federal courtsB. Trial courtsO C. Juvenile courtsD. Supreme courts The coordinates of the preimage are:A(8,2)B(4,3)C(2,8)D(10,6)Now lets find the coordinates after the reflection over the x-axis.A(8, )B(4, )C(2, )D(10, )And now find the coordinates after the reflection over the y-axis.A( ,2)B( ,3)C( ,8)D( ,6)This is also the same as a rotation of 180. In the diagram, what is the measure of angle 1 to the nearest degree?33 degrees55 degrees 75 degrees 105 degrees Two leading home appliance companies, Globex Inc. and Pug Tech, are in competition for market share. In their quest for exciting new products, Globex employs an open innovation model, while Pug Tech pursues a closed innovation model. Which of the following statements is most likely true?a. Globex has a greater chance of capturing market share.b. Pug Tech has a superior absorptive capacity.c. Pug Tech will protect its intellectual property with patents and trade secrets.d. Globex is most concerned with securing first-mover advantages. Which word describes the maximum a point moves from its rest position when a wave passes? Which of the following is NOT a possible purpose of a speech? WHAT WOULD THE RIGHT OPTION?? how many resonance structures of benzene are known?A) 3 B) 4C) 5D) 6 very complex type of processing is carried out by a which computer A brewery has a beer dispensing machine that dispenses beer into the company's 12 ounce bottles. The distribution for the amount of beer dispensed by the machine follows a normal distribution with a standard deviation of 0.17 ounce. The company can control the mean amount of beer dispensed by the machine. What value of the mean should the company use if it wants to guarantee that 98.5% of the bottles contain at least 12 ounces (the amount on the label)