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
vesna_86 [32]
3 years ago
15

Assume that the weights of quarters are normally distributed with a mean of 5.67 g and a standard deviation of 0.07 g. If a vend

ing machine will only accept coins weighing between 5.48 g and 5.82 g, what is the probability that a legal quarter will be accepted

Mathematics
2 answers:
Black_prince [1.1K]3 years ago
6 0

Answer:

0.98046

Step-by-step explanation:

Given:

  • μ = 5.67
  • σ = 0.07

Here we are required to find

P(5.48 <X<5.82) and between 5.48 and 5.82 we each z-score given by

<em>z = (x - μ) / σ</em>

So 5.48 we have z = -2.714  and 5.82 we have  z = 2.143

Therefore we have the area of interest on the normal distribution chart given by :

P( -2,714 < z < 2.143)

= 1 - P(Z<-2.714) + P(Z >  2.143)

= 1 - P(Z<-2.714) + (1 - P(Z <  2.143))

= 1 - 0.00336 + 1 - 0.98382

= 1 - 0.01954 = 0.98046

Burka [1]3 years ago
4 0

Answer:

98.04%

Step-by-step explanation:

We have to first find the probability that it will be rejected, that is:

P (X <5.48 or X> 5.82)

z = x - m / sd

With a mean of 5.67 and standard deviation of 0.07.

so we have to:

z1 = (5.48 - 5.67) /0.07 = -2.71

In this case we look in the normal distribution table and we have that z is 0.0034

z2 = (5.82 - 5.67) /0.07 = 2.14

In this case we look in the normal distribution table and we have that z is 0.9838

Thus:

P (z <-2.71 or z> 2.14) = P (z <-2.71) + P (z> 2.14)

= P (z <-2.71) + 1 - P (z <2.14)

Superseded:

= 0.0034 + 1 - 0.9838

= 0.0196

And it would be the probability of being rejected, to be accepted it would be:

1 - 0.0196 = 0.9804

In other words, the probability of being accepted is 98.04%

You might be interested in
Calculate the present value. (Round your answer to two decimal places.)
Gnom [1K]
30,000*16
15 percent of 480000
= <span>72,000</span>
8 0
3 years ago
There are between 24and 40 students in a class. The ratio of boys to girls is 4:7 how many students are in the class?
aliina [53]

Answer: 33

Step-by-step explanation: The ratio is 4:7, so the number has to be a multiple of 11, and the multiple of 11 between 24 and 40 is 33.

8 0
3 years ago
I will pick brainliest first come, first serve! I need help! Give me an answer that makes sense!
nordsb [41]

Step-by-step explanation:

Total amount of apples in one bag:

x + y + z

Hence, total amount of apples in two bags:

2(x + y + z)

or

2x + 2y + 2z

or

x + x + y + y + z +  z

Hence, B, D and E are correct.

A is incorrect because you are adding 2 more apples on top of the total amount of apples in one bag, and you cannot assume that there are 2 apples in each bag.

C is incorrect because you are multiplying the apples together, but you are supposed to add them up to find the total.

F is incorrect because you are finding 1/2 a bag.

3 0
3 years ago
What's 6 15/40 Simplified ?
Phoenix [80]
 it would be 6 3/8 because the common factor is 5

3 0
3 years ago
Read 2 more answers
Please I need help !!!!
frez [133]

Answer:

The first one is c the second is b

3 0
2 years ago
Other questions:
  • Graham joined two congruent square pyramids to form the composite solid. If the lateral faces of the pyramids each have an area
    9·2 answers
  • 40% of 80 <br> What’s for this Question
    8·2 answers
  • Side of square is 5.3cm long, whats the area :D
    15·1 answer
  • A Web music store offers two versions of a popular song. The size of the standard version is 2.4 megabytes (MB). The size of the
    15·1 answer
  • There are 4 lunch choices in a school cafeteria: Salad, Pizza, Spaghetti, and Sub Sandwiches. The percentage of students that ch
    15·1 answer
  • What is the answer of the question below
    15·1 answer
  • Rodney is helping to make hamburgers for the football game. He's made 10 hamburgers so far. His coach asked him to make at least
    13·1 answer
  • Convert this mixed number to an improper fraction. 2 2/3
    15·1 answer
  • Ten more than three times a number n is forty. How do you write this as an equation, plz i need help.
    15·1 answer
  • Someome please help me
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!