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
vitfil [10]
3 years ago
15

A candy maker produces mints that have a label weight of 20.4 grams. Assume that the distribution of the weights of these mints

is normal with mean 21.37 and variance 0.16. a) Find the probability that the weight of a single mint selected at random from the production line is less than 20.857 grams. b) During a shift, a sample of 100 mints is selected at random and weighed. Approximate the probability that in the selected sample there are at most 5 mints that weigh less than 20.857 grams. c) Find the approximate probability that the sample mean of the 100 mints selected is greater than 21.31 and less than 21.39.
Mathematics
1 answer:
Sliva [168]3 years ago
5 0

Answer:

a)0.099834

b) 0

Step-by-step explanation:

To solve for this question we would be using , z.score formula.

The formula for calculating a z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

A candy maker produces mints that have a label weight of 20.4 grams. Assume that the distribution of the weights of these mints is normal with mean 21.37 and variance 0.16.

a) Find the probability that the weight of a single mint selected at random from the production line is less than 20.857 grams.

Standard Deviation = √variance

= √0.16 = 0.4

Standard deviation = 0.4

Mean = 21.37

x = 20.857

z = (x-μ)/σ

z = 20.857 - 21.37/0.4

z = -1.2825

P-value from Z-Table:

P(x<20.857) = 0.099834

b) During a shift, a sample of 100 mints is selected at random and weighed. Approximate the probability that in the selected sample there are at most 5 mints that weigh less than 20.857 grams.

z score formula used = (x-μ)/σ/√n

x = 20.857

Standard deviation = 0.4

Mean = 21.37

n = 100

z = 20.857 - 21.37/0.4/√100

= 20.857 - 21.37/ 0.4/10

= 20.857 - 21.37/ 0.04

= -12.825

P-value from Z-Table:

P(x<20.857) = 0

c) Find the approximate probability that the sample mean of the 100 mints selected is greater than 21.31 and less than 21.39.

You might be interested in
What is the x and y intercept <br><br> 2x+3y-8=0
ladessa [460]

Answer:

all work is shown and pictured

6 0
3 years ago
Pic attached will give brainliest
Annette [7]

Answer:

3 over 2

Step-by-step explanation:

select 2 points on the line and see how far apart they are

6 0
2 years ago
Read 2 more answers
5- 1 1/4 what will it be?.?
e-lub [12.9K]

Answer:

<u><em>7 (3/4)</em></u>

Step-by-step explanation:

how many times does 4 go into 11?....

2 times which would be 8 then

then you add up the remaining numbers to the fraction which it would be

3/4

put it together it would be

2 (3/4)

finally you add the 5 and the 2 which your finally answer would be

7 (3/4)

<em>hope it helps:)</em>

3 0
3 years ago
suppose you deposit $2,000 in savings account that pays interest at an annual rate of 5% how much will be in the account after 3
ValentinkaMS [17]
It will be a 2,315.25
2000*5%=2100
2100*5%=2205
2205*5%=2,315.25
8 0
2 years ago
Read 2 more answers
The figure below is the intersection of 3 line segments.
slamgirl [31]

Answer: Choice A) 123 degrees

===============================

Explanation:

Angle FOE is a straight angle as segment FE is a straight line, with point O on this line segment. Because FOE is a straight angle, we know that the three angles that make up angle FOE will combine to 180

(angle FOC)+(angle COB) + (angle BOE) = 180

Let x be the measure of angle COB. Plug in this and the other angle measures shown

(angle FOC)+(angle COB) + (angle BOE) = 180

(31)+(x)+(26) = 180

x+(31+26) = 180

x + 57 = 180

x+57-57 = 180-57

x = 123

Angle COB is 123 degrees.

Angle AOD is also 123 degrees because

angle COB = angle AOD

due to the fact these angles are vertical angles. Vertical angles are always congruent.

8 0
3 years ago
Other questions:
  • What does x equal, I'm struggling with this?​
    12·1 answer
  • When converting between two measurement units, how can you tell which operation to use
    9·2 answers
  • If a hose is filling a swimming pool at a rate of 20 liters per minute, how long will it take to fill the 3,600-gallon pool?
    11·1 answer
  • NEED HELP!! Please help really hard for me because i´m dumb sometimes.
    6·2 answers
  • How do you round 1.038 to the nearest hundredth
    8·2 answers
  • If a window is to be 6 feet wide, how high should it be, to the nearest tenth of a foot, to be a golden rectangle
    12·1 answer
  • What is the value of x in the diagram below? If necessary, round your answer
    14·2 answers
  • What is the range?<br><br> (-7, 4) (2, 6) (1, -3) (5, 0) (9, -1)
    11·1 answer
  • Two parallel lines are cut by a transversal. What is the measure of 26?
    14·1 answer
  • ¿Qué propiedad justifica que 4+ [6 + (-2)] = [4 +6] +(-2)?​
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!