1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lana [24]
3 years ago
6

NewPop produces their brand of soda drinks in a factory where they claim that the

Mathematics
1 answer:
Citrus2011 [14]3 years ago
8 0

Answer:

a) 14960 bottles

b) 502 bottles

Step-by-step explanation:

Given that:

Mean (μ) = 24 ounces, standard deviation (σ) = 0.14 ounces

a) From empirical rule (68−95−99.7%) , 68% of the population fall within 1 standard deviation of the mean (μ ± 1σ).

Therefore 68% fall within 0.14 ounces of the mean

the number of bottle =  22,000*68% = 14960 bottles

b) To solve this we are going to use the z score equation given as:

z=\frac{x-\mu}{\sigma} where x is the raw score = 23.72

z=\frac{x-\mu}{\sigma}=\frac{23.72-24}{0.14} =-2

From the normal probability distribution table: P(X < 23.72) = P (Z < -2) = 0.0228

The number of rejected bottles = 22000 × 0.0228 = 502 bottles

You might be interested in
When you don't know the answer on a multiple-choice questions it is generally best to
cluponka [151]
When you don't know the answer on a multiple-choice questions it is generally best to guess a random answer instead of leaving it blank.
Can you follow me and like me please? I hope i can help you more.☺
5 0
3 years ago
Read 2 more answers
A#27 - Surface Area
ollegr [7]

Answer:

Step-by-step explanation:

Surface area is finding the area of each face and adding them up.  So a cube will have 6 faces, each of them a square.  So find the area of one face and you can just add it 6 times.  If the faces are not all the same you have to find them seperately.  I won't do all of your questions, but let me know if you need help with a specific one

1) there are two trianglular faces and three rectangular ones.  The triangles are the same so let's do those.  They have the base and height of 4 and 3, so area of both will be .5*4*3 = 6, so together that makes 12.  now the three rectangular sides.  Right away you can see there is a 3 by 10 one and a 4 by 10 one.  These ahve areas of 30 and 40 respectfully.  The final face has one length of 10 but the last one is actually the last side of the right triangle faces.  Use the Pythagorean theorem to find it, it word out to be 5.  So now we know the last face is 10 by 5 which means an area of 50.  So let's add them all together.  5 faces total with areas of 30, 40, 50, 6 and 6.  Adding them together makes 136.

If you don't get how I did any of that let me know.  In general it's a good idea to mark every face and then find what their sides are.  I'd be happy to help with specific problems.

Now the second part, again I will do the second one because cones are  little less intuitive.  a cone has two faces, the circular base and the actual cone shape.  the surface area of the cone shape is pi*r*L where r is the radius of the base and L is the length of one of the slanted sides.  Now, let's find the area of the two faces.  Area of a circle is pi*r^2 so that's pi*4^2 = 16*pi in number 2.  Then the area of the cone part is pi*r*L = pi*4*14 = 56*pi.  now we sum all the areas of the faces up and get 16*pi + 56*pi = 72*pi.  

Again, I'm happy to answer specific questions, so let me know if you have any.  just keep in mind what I told you so far, find each face, then find each face's area then sum them up.  For cylinders the tubes turn into rectangles where one side is the length of the tube and the other is the circumference, while cones fave two faces, the circular base and the cone shape itself with an area of pi*r*L.  if you want me to check your answers I will totally do that too.  

4 0
3 years ago
How do i solve x squared = 4x -5
ICE Princess25 [194]

Answer:

x = 2 ±i

Step-by-step explanation:

x^2 = 4x-5

Subtract 4x from each side

x^2 - 4x = 4x-5 -4x

x^2 - 4x= -5

Complete the square

Take the coefficient of the x term, divide by 2 and square it

-4/2 =2   2^2 =4

Add 4 to each side

x^2 -4x+4 = -5 +4

The left side is (x-coefficient of the x term/2)^2

(x-2)^2 = -1

Take the square root of each side

sqrt((x-2)^2) = sqrt(-1)

x-2 = ±i

Add 2 to each side

x-2+2 = 2 ±i

x = 2 ±i

6 0
2 years ago
Today's temperature is 3 degrees warmer than yersterday's temperature t . write an expression for today's temperature
vredina [299]
The formula would be t + 3.
7 0
3 years ago
Someone pls help me :c tysm if u do :))
iogann1982 [59]

Answer:13

Step-by-step explanation: Your going up on the number line.

Hope I was able to help! :)

3 0
2 years ago
Other questions:
  • Suppose j varies jointly with g and​ v, and j=2 when g=4 and v=3. <br> Find j when g=8 and v=9.
    15·1 answer
  • The stem-and-leaf plot lists the number of times different families visit the local zoo each year. How many families visit the z
    15·1 answer
  • Here is the full question
    14·2 answers
  • Please Help... Thanks!
    9·1 answer
  • What does k equal?<br> As in y=kx<br> Pls help
    9·1 answer
  • Please help!!!!!!! this is the last question for me to pass
    5·1 answer
  • Please help. im stuck on this one ​
    8·1 answer
  • Which equation is equivalent to 5(2)^8t=15 when solved for t?
    11·1 answer
  • Create a real-life representation of the following multiplication problem. Explain what the result represents in the problem.
    10·1 answer
  • Help for a brianlest at show your work
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!