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
meriva
3 years ago
6

A soft drink machine outputs a mean of 27 ounces per cup. The machine's output is normally distributed with a standard deviation

of 3 ounces. What is the probability of filling a cup between 22 and 29 ounces? Round your answer to four decimal places.
Mathematics
1 answer:
postnew [5]3 years ago
6 0

Answer: P(22 ≤ x ≤ 29) = 0.703

Step-by-step explanation:

Since the machine's output is normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = output of the machine in ounces per cup.

µ = mean output

σ = standard deviation

From the information given,

µ = 27

σ = 3

The probability of filling a cup between 22 and 29 ounces is expressed as

P(22 ≤ x ≤ 29)

For x = 22,

z = (22 - 27)/3 = - 1.67

Looking at the normal distribution table, the probability corresponding to the z score is 0.047

For x = 29,

z = (29 - 27)/3 = 0.67

Looking at the normal distribution table, the probability corresponding to the z score is 0.75

Therefore,

P(22 ≤ x ≤ 29) = 0.75 - 0.047 = 0.703

You might be interested in
To plan a budget, first prioritize expenditures. True False
Elza [17]
To plan a budget first, prioritize expenditures.
This is True.
3 0
3 years ago
CALLING ON K12 STUDENTS... I'm in Honors Geometry and am so stuck on the end of the year Trig in Baseball assignment... Anybody
Katyanochek1 [597]
RIP, i finished my geometry hon. EOC today, i'm in 8th :P  
7 0
3 years ago
I don't know how to solve number one ? Please help
dolphi86 [110]
In order to find the temperature, you have to add -4 + 16. this would be C because negatives subtract. Hope you found this helpful!
7 0
3 years ago
Five more than three times the number is one-third more than the sum of the number and itself.
disa [49]

The sentence is converted into a mathematical equation will be 3n + 5 = n + n + 1/3. Then the correct option is C.

<h3>What is Algebra?</h3>

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Five more than three times the number is one-third more than the sum of the number and itself.

Let the number be n.

Then convert the sentence into a mathematical equation. Then the equation will be

3n + 5 = n + n + 1/3

The sentence is converted into a mathematical equation will be 3n + 5 = n + n + 1/3. Then the correct option is C.

The complete question is attached below.

More about the Algebra link is given below.

brainly.com/question/953809

#SPJ1

5 0
2 years ago
The number X of days in the summer months that a construction crew cannot work because of the weather has the probability distri
Ronch [10]

Answer:

a.)The probability of losing no more than ten days next summer is    

    0.65

b.) The probability that 8 - 12 days will be lost next summer  is 0.8

c.)  The probability there will be no days lost next summer is 0.

Step-by-step explanation:

The probability distribution for the number X of days in the summer that a construction crew cannot work because of the weather is given below:

x                    P(x)

6                   0.03

7                   0.08

8                   0.15

9                   0.2

10                  0.19

11                   0.16

12                   0.1

13                   0.07

14                   0.02

a.) To find the probability that no more than 10 days will lost next summer can be found by adding the values of probability of the days lost which are 10 days or less, that is to say we can write

 

p( x ≤ 10 )  = p(x=6) + p(x =7) + p(x=8) + p(x=9) + p(x=10)

                = 0.03     + 0.08    + 0.15     + 0.2     + 0.19

                = 0.65

b.) To find the probability that 8 to 12 days will be lost next summer will be given by taking into account and adding the probabilities starting form the probability when 8 days are lost to the probability when 12 days are lost

   p( 8 ≤ x ≤ 12)  = p(x=8) + p(x=9) + p(x=10) + p(x=11) + p(x=12)

                          = 0.15 +    0.2     + 0.19    +   0.16  + 0.1

                          = 0.8

c.) The probability that no days will be lost next summer will be given by

    = 1 - ( p(x=6) + p(x=7) +  p(x=8) + p(x=9) + p(10) + p(11) + p(12))

    = 1 -  1

    = 0  

   The probability that will be no days lost next summer is zero. We can conclude that there will be some days lost next summer.

4 0
3 years ago
Other questions:
  • A certain forest covers an area of 2500 km2 . Suppose that each year this area decreases by 8.75% . What will the area be after
    7·1 answer
  • Angelina factored (x - 48 ) and wrote that it was equal to (x^2 - 4^2)^2(x^2 + 4^2). Use complete sentences to explain how you c
    8·1 answer
  • A circle with center (1, 2) passes through the point (0, 6). what is the equation of the circle
    15·2 answers
  • Necesito ayuda por favor es para mañana
    13·1 answer
  • A glassblower can produce a set of simple glasses in about 2 h. When the glassblower works with an apprentice, the job takes abo
    13·1 answer
  • Pls help this should be easy for u guys
    15·1 answer
  • Im in quarantine and im just tryna get all my work done so i can play video games, pls help ya boy out.
    13·1 answer
  • Please help me with this question 17t 200kg divided by 8​
    7·1 answer
  • 122 is what percent of 145?
    5·1 answer
  • Help picture below problem 12
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!