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
lions [1.4K]
2 years ago
14

A manufacturer knows that their items have a normally distributed lifespan, with a mean of 12.3 years, and standard deviation of

0.8 years. If you randomly purchase one item, what is the probability it will last longer than 14 years

Mathematics
1 answer:
Zolol [24]2 years ago
5 0

Answer:

probability of lasting longer = 1.7%

Step-by-step explanation:

We are given:

x' = 14 years

μ = 12.3 years

s = 0.8 years

Thus, let's use the formula for the Z-score value which is;

z = (x' - μ)/s

Thus;

z = (14 - 12.3)/0.8

z = 2.125

From the z-distribution table attached, the p-value is ;

P(x' > 2.125) = 1 - 0.983 = 0.017 = 1.7%

Thus,probability of lasting longer = 1.7%

You might be interested in
Jen Butler has been pricing​ Speed-Pass train fares for a group trip to New York. Three adults and four children must pay $ 79.
xxMikexx [17]

<u>Answer:</u>

Price of the​ adult's ticket = $13

Price of a​ child's ticket = $ 10

<u>Step-by-step explanation:</u>

Given:

Cost of train fares for Three adults and four children = $79

Cost of train fares Two adults and three children  = $ 56

To Find:

Price of the​ adult's ticket and the price of a​ child's ticket =?

Solution:

Let the cost of one adult's ticket be x  and

Let the cost of one child's ticket be y

Then

Three adults and four children must pay $ 79 be

3x + 4y = 79-----------------------------------------------(1)

Two adults and three children must pay $56

2x + 3y = 56----------------------------------------------(2)

multiply  eq(1) by 2, we get

6x + 8y = 158----------------------(3)

multiply  eq(2) by 3, we get

6x + 9y = 168----------------------(4)

Subracting (3) from (4)

 6x + 9y = 168

 6x + 8y = 158

(-)      (-)       (-)

------------------------------

0x +  y = 10

------------------------------

y=10

Now substitute the value of y in eq (1) to get the value of x

3x + 4(10)= 79

3x +  40 = 79

3x = 79 - 40

3x = 39

x = \frac{39}{3}

x= 13

3 0
3 years ago
Is the product 1.01 1.01 less than or greater than 1?
faust18 [17]

Answer:

greater than 1

Step-by-step explanation:

its greater because 1.01 is greater than 1

8 0
3 years ago
Simplify the following by collecting together like terms.<br><br> 3p-4q+9p-6q+1
EleoNora [17]

Answer:

12p-10q+1

it's saying im being rude

3 0
2 years ago
Read 2 more answers
Sally is planning the school picnic and needs to decide what food vendor to use. She asks 250 students whether they would rather
Oksana_A [137]

Answer:

0.18

Step-by-step explanation:

The relative frequency of eight graders who want fruit smoothie :

Number of eight graders who want fruit smoothie / total number of students surveyed

= 45 / 250

= 0.18

6 0
2 years ago
Write the linear equation that gives the rule for this table. x f(x) 1 22 2 23 3 24 4 25 Write your answer as an equation with f
densk [106]

Answer:

umm that doesn't make a whole lot of sense if its multiple choice can you give us the options please sorry I couldn't answer

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • What is - (<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B5%7D%20" id="TexFormula1" title=" \frac{3}{5} " alt=" \frac{3}{
    12·1 answer
  • The concept of determining which reactant is limiting and which is in excess is akin to determining the number of sandwiches tha
    12·1 answer
  • What múltiples to 18 and adds to -10
    7·1 answer
  • What's 1394 divided by 36
    13·2 answers
  • What is the slope of the line described by this equation? ​ 3y+2x=12 ​
    12·1 answer
  • What is 400 percent as a mixed number?
    15·1 answer
  • Can someone pleaseeeee help me
    9·1 answer
  • The histogram gives information about the waiting time
    8·1 answer
  • The distance between Happyville and Giggleland is 60 miles. how far is this in kilometers?
    12·1 answer
  • How to use the quadratic formula on a graphing calculator
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!