PLEASE I NEED HELP ASAP

Complete Question

The amounts a soft drink machine is designed to dispense for each drink are normally distributed, with a mean of 12.1 fluid ounces and a standard deviation of 0.3 fluid ounce. A drink is randomly selected.

Required:

a) Find the probability that the drink is less than 11.9 fluid ounces

b) Find the probability that the drink is between 11.6 and 11.9 fluid ounces

c) Find the probability that the drink is more than 12.6 fluid ounces. Can this be considered an unusual​ event? Explain your reasoning.

Answer:

a

  [tex] P(X < 11.9 ) =  0.25239  [/tex ]  

b

  [tex]P(  11.6 < X < 11.9 ) =  0.20463 [/tex]

c

  [tex] P(X > 12.6 ) =  0.047757  [/tex ]  

Yes  It is an unusual event

Step-by-step explanation:

From the question we are told that

   The mean is  [tex]\mu = 12.1[/tex]

   The standard deviation is  [tex]\sigma =0.3[/tex]

Generally the probability that the drink is less than 11.9 fluid ounces is mathematically represented as

      P(X < 11.9 ) =  P(\frac{X -\mu}{\sigma } < \frac{11.9 - 12.1}{0.3} )

   [tex]\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )[/tex]

      [tex] P(X < 11.9 ) =  P(Z< -0.667 ) [/tex ]

From the z table  the area under the normal curve to the left corresponding to -0.667  is

P(Z< -0.667 ) = 0.25239

So

[tex] P(X < 11.9 ) =  0.25239  [/tex ]  

Generally the  probability that the drink is between 11.6 and 11.9 fluid ounces is mathematically represented as

[tex] P(  11.6 < X < 11.9 ) =  P(  \frac{11.6 -12.1}{0.3} < \frac{X -\mu}{\sigma } < \frac{11.9 - 12.1}{0.3} ) [/tex]

   [tex]P(  11.6 < X < 11.9 ) =  P( -1.667 < Z < -0.667 ) [/tex]

=> [tex]P(  11.6 < X < 11.9 ) =  P( Z < -0.667) -  P ( Z < -1.667 ) [/tex]

From the z table  the area under the normal curve to the left corresponding to  -1.667  is

  P(Z< -1.667 ) = 0.047757

So

       [tex]P(  11.6 < X < 11.9 ) =  0.25239  - 0.047757 [/tex]

=>      [tex]P(  11.6 < X < 11.9 ) =  0.20463 [/tex]

Generally the probability that the drink is more than 12.6 fluid ounces is mathematically represented as

         P(X > 12.6 ) =  P(\frac{X -\mu}{\sigma } > \frac{12.6 - 12.1}{0.3} )

      [tex] P(X >12.6 ) =  P(Z> 1.667 ) [/tex ]

From the z table  the area under the normal curve to the right corresponding to 1.667  is

P(Z> 1.667 ) = 0.047757

So

[tex] P(X > 12.6 ) =  0.047757  [/tex ]        

Given that this probability is less than 0.05 , it mean it is an unusual​ event

Answer:

y-18,000=2,750(x-0) --> point-slope

y=2,750x+18,000   --> slope-intercept

-2,750x + y = 18,000  --> standard

Step-by-step explanation:

Linear Modeling

Some situations can be modeled as linear functions. If we are in a situation where a linear model is suitable, then we need two sample points to make the model and predict unknown behaviors.

The pool being drained contained initially 18,000 gallons of water. If we set the variable x as the time in hours and y as the remaining gallons of water in the pool, this first point is (0;18,000).

We are also aware that after 2 hours 12,500 gallons of water remain. This gives us the second point as (2;12,500).

The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:

[tex]\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

Let's find the equation of the line with the 2 points:

[tex]\displaystyle y-18,000=\frac{18,000-12,500}{2-0}(x-0)[/tex]

Calculating:

[tex]\displaystyle y-18,000=\frac{5,500}{2}(x-0)[/tex]

[tex]y-18,000=2,750(x-0)[/tex]

The equation above is the point-slope form of the line

Simplifying and adding 18,000:

[tex]y=2,750x+18,000[/tex]

The equation above is the slope-intercept form of the line

Moving all the variables to the left side:

[tex]-2,750x + y = 18,000[/tex]

The equation above is the standard form of the line

Answer:

y-18,000=2,750(x-0) --> point-slope

y=2,750x+18,000   --> slope-intercept

-2,750x + y = 18,000  --> standard

Answer: Hope this helps.

Because each value rounds up, his estimate is higher than the actual product. He might have enough money to buy the apples. So A.

Step-by-step explanation:

We don't actually know what it was that Luis was estimating. Assuming he was estimating the cost of the apples he wants to buy, rounding up both the price and quantity will give an estimate of $2/lb × 7 lb = $14, which is more than he has to spend.

Luis could refine his estimate by realizing the actual price is 10% less than the vaue he used, and the actual quantity is not quite 6% less than the value he used. The amount Luis has is about 14% less than the cost he estimated, so considering estimation errors, he probabaly has enough money.

The best choice among the answers is the one shown above.

Answer:

y = -3x - 5

Step-by-step explanation:

The equation of a line is given as either:

[tex]y = mx + b[/tex]  where m is the slope, and b is the y-intercept.

or

[tex]y-y_{1} = m(x-x_{1} )[/tex]  where given that you have a point (x, y), y₁ is the y-value of the point, m is the slope, and x₁ is the x-value of the point.

We can just plug in the point (0, -5) into the second equation and -3 for the slope.

However, (0, -5) tells us that this point must be a y-intercept, since the x-value of that point is 0. So, we can also just plug into the first equation -5 for the y-intercept and -3 for the slope.

So, we get:

y = -3x + (-5)

Which simplifies into:

y = -3x - 5

Answer:

i dont know

Step-by-step explanation:

Answer:

more answers on wht

Step-by-step explanation:

Answer:

wdym more answers ? there isn't a question

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Look at the y-values for both dots, the open circle is -7 and the closed circle is 5. The closed circle means y is going to be equal to, so the greater than sign is made to be equal.

Answer:

23.8

Step-by-step explanation:

68.4 - 44.6 = 23.8

Answer:

QR is 23.8

because 68.4 - 44.6 =23.8

Answer:

doesn't it give you the angles for each letter? If that is the case then it would be 33

Step-by-step explanation:

May I have brainliest please? :)

Answer:

RT

Step-by-step explanation:

RT

Since angle S is the smallest angle, the smallest side is opposite that.

Answer:

c

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Answer:

Step-by-step explanation:

−5(2)(−4)=2(x−8)

Simplify both sides of the equation.

−5(2)(−4)=2(x−8)

−5(2)(−4)=(2)(x)+(2)(−8)(Distribute)

40=2x+−16

40=2x−16

Step 2: Flip the equation.

2x−16=40

Step 3: Add 16 to both sides.

2x−16+16=40+16

2x=56

Step 4: Divide both sides by 2.

2x/2 = 56/2

x=28

Answer:

The Answers are right under you.

We want to compare two prefixes, kilo and tera, and see why one seems to be more important than the other.

The prefix "kilo" is used for thousands, while the prefix "tera" is used for trillions.

Now if you go to your day-to-day life, you will see that the thousands appear a lot more than the trillions.

For example, is more common to walk one or two kilometers than one terameter.

Or also is more common to buy a kilogram of potatoes than one teragram of potatoes.

This is mainly why kilo is more important (actually is more used, I wouldn't say that is more important) than tera.

If you want to learn more you can read:

https://brainly.com/question/5470764

Step-by-step explanation:

This graph shows linear

y = f(x) and y = g(x).

Find the solution to the equation f(x) - g(x) = 0

Answer:

The probability is  [tex]P( p < 435.82 ) = 0.54094[/tex]

Step-by-step explanation:

From the question we are told that

   The population proportion is  p =  54% = 0.54

    The sample size is  n  =  808

Generally the distribution of the population with college degree follows a binomial distribution  

i.e  

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

Generally the mean is mathematically represented as

       [tex]\mu = n * p[/tex]

=>    [tex]\mu = 808 * 0.52[/tex]

=>    [tex]\mu = 420.16[/tex]

Generally the standard deviation is mathematically represented as

        [tex]\sigma = \sqrt{np(1- p )}[/tex]

=>      [tex]\sigma = \sqrt{808 * 0.52(1- 0.52 )}[/tex]    

=>      [tex]\sigma = 14.2[/tex]

Generally 54% of the population proportion is

         [tex]\^ p = 0.54 * 808[/tex]

=>     [tex]\^ p = 436.32[/tex]

Generally by normal approximation of the binomial distribution the probability that the proportion of persons with a college degree will be less than 54% is mathematically evaluated as

      [tex]P(p < \^ p ) = P(\frac{p - \mu }{\sigma } < \frac{\^ p - \mu }{\sigma } )[/tex]

[tex]\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )[/tex]

=>  [tex]P(p < 436.32 ) = P( Z < \frac{436.32 - 420.16 }{14.20 } )[/tex]

applying continuity correction

      [tex]P(p < (436.32-0.5) ) = P( Z < \frac{(436.32-0.5) - 420.16 }{14.20 } )[/tex]

=>  [tex]P(p < (435.82 ) = P( Z < \frac{435.82 - 420.16 }{14.20 } )[/tex]

=>  [tex]P(p < (435.82 ) = P( Z < 0.1028 )[/tex]

From the z table  the area under the normal curve to the left corresponding to 0.1028  is

   [tex]P( Z < 0.1028 ) = 0.54094[/tex]

=> [tex]P( p < 435.82 ) = 0.54094[/tex]

Answer:

Yes it is

Step-by-step explanation:

Because

2) x (sqrt 3) times (sqrt 12)

Two is also equivalent to sqrt of 4. The operation may be expressed as,

                                  (sqrt 4) x (sqrt 3) x sqrt (12)

The product is sqrt (144). This gives an answer of 12 and it is rational.

So, the answer is Yes!

Hope this helped! :)

May i have brainliest!

Answer:

Yes it is

Step-by-step explanation:

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

12 is the answer and 12 is a rational number

Radicand = The number under the inclusion bar of the radical sign.

Product = The result of two numbers being multiplied together.

Factor = One of two or more expressions that are multiplied together to get a product.

Answer:

Step-by-step explanation:

Given

To find

Solution

Answer:

4.

Step-by-step explanation:

(x^2 + 7x - 9) + (3x^2 - 2x) + (x^2 + 7x - 9) + (3x^2 - 2x)

x^2 + 7x - 9 + 3x^2 - 2x + x^2 + 7x - 9 + 3x^2 - 2x

Rearranging order:

3x^2 + 3x^2 + x^2 + x^2 + 7x + 7x - 2x - 2x - 9 - 9

Combine like terms

8x^2 + 10x - 18

Answer:

can bcz triangle has 3 sides here 3 cm are there

Answer:

C

Step-by-step explanation:

hope this helps

Answer: c

Step-by-step explanation:

Answer:

x=4

y=1

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

6.25 times 20% or 0.2 = 1.25. therefore she tipped the sever 20% of the total cost of her meal.

Answer:

800/3200= .25 or 25%

you must divide the rent by the monthly income.

Hi

You have two points     A ( X;Y)  and B ( X ; Y)

slope is   :    ( Yb -Ya)   / (Xb -Xa )

                     ( -8 - 6 ) / ( -4 - 3) =   -14 /-7 =  2

slope is   2  

now :  we have  :  2 ( 3) +...  = 6

                                 6 +0 = 6  

equation of  line   is  :   y = 2x  

Answer:

112

Step-by-step explanation:

beacuse 180-68=112

Answer:

B

Step-by-step explanation:

If you plug in 5 1/3 to the equation, the result is 6, meaning that the point lies on the line.

Answer:

9x - 2x + 62 = 9x + 24

Number of correct answer each obtained = 19

Step-by-step explanation:

Given that:

Number of correct answers = x

POINTS for correct answers = 9

POINTS for incorrect answers = - 2

SCHOOL A:

Number of correct answers = x

Number of incorrect answers = x

Initial point = 62

Initial point + 9(number of correct answers) + - 2(number of incorrect answers)

62 + 9x - 2x

SCHOOL B :

Number of correct answers = x

Number of incorrect answers = 0

Initial point = 24

Initial point + 9(number of correct answers) + - 2(number of incorrect answers

24 + 9x

Since they end up tied :

School A = School B

62 + 9x - 2x = 24 + 9x

9x - 2x + 62 = 9x + 24

Number of correct answers gotten :

9x - 2x + 62 = 9x + 24

7x + 62 = 9x + 24

7x - 9x = 24 - 62

-2x = - 38

x = 19

Hence, Number of correct answers each obtained = 19