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
V125BC [204]
3 years ago
12

A company installs 5,000 light bulbs. the lifetimes of the lightbulbs are approximately normally distributed with a mean of 500

hours and a standard deviation of 100 hours. find the approximate number of bulbs that can be expected to last the indicated amount of time. between 500 hours and 675 hours
Mathematics
1 answer:
Sergio039 [100]3 years ago
5 0
First, determine the z-score of 675. 
                               z = (675 - 500) / 100 = 1.75
The z-score of 500 is,
                               z = 0. 
Subtracting the z-scores will give us 1.75. This is equal to 0.9599. 
                        = 0.9599 - 0.5 = 0.4599
Multiplying this to the given number of light bulbs,
                             n = 0.4599 x 5000 = 2299.5
Therefore, there is approximately 2300 light bulbs expected to last between 500 to 675 hours.
You might be interested in
12345678910111213141516
Galina-37 [17]

Step-by-step explanation:

oh, come on. you can just use common sense.

a local minimum is a point where the curve goes down to, and then turns around and starts to go up again. that point in the middle, where it turns around and does not go down any further, is the minimum.

for the maximum the same thing applies, just in the other direction (the curve goes up and turns around to go back down again).

a)

the local minimum values (y) are

-2, -1

b)

the values of x where it had these minimum values are

-1, +3

4 0
2 years ago
Match these together
MrMuchimi
1. C
2. A
3. B
3. D

Hope this helps
6 0
3 years ago
Use vieta's theorem to solve the problems.
Mnenie [13.5K]

Using Vieta's Theorem, it is found that c = 72.

<h3>What is the Vieta Theorem?</h3>
  • Suppose we have a quadratic equation, in the following format:

y = ax^2 + bx + c

  • The roots are p and q.

The Theorem states that:

p + q = -\frac{b}{a}

pq = \frac{c}{a}

In this problem, the polynomial is:

x^2 - 17x + c

Hence the coefficients are a = 1, b = -17.

Since the difference of the solutions is 1, we have that:

p - q = 1

p = 1 + q

Then, from the first equation of the Theorem:

p + q = -\frac{b}{a}

1 + q + q = 17

2q = 16

q = 8

p = 1 + q = 9

Now, from the second equation:

pq = \frac{c}{a}

72 = c

c = 72

To learn more about Vieta's Theorem, you can take a look at brainly.com/question/23509978

6 0
2 years ago
Simplify the expression.
Verdich [7]

if you need to simply 12/ c^-8 d^2=
=12 c^8/d^2
is the third choice
5 0
3 years ago
What is the value of x?
OlgaM077 [116]

Answer:

I honestly have no clue.

Step-by-step explanation:

I honestly have no clue.

6 0
2 years ago
Other questions:
  • A city water tank holds 20 gallons of water. A technician empties 25% of the tank. How many more gallons of water must be remove
    11·1 answer
  • The net represents a toy box that has the shape of a rectangular prism. Each unit on the coordinate plane represents 1 meter. If
    11·1 answer
  • Solve for x<br><br><br><br><br>please help! I'm so confused​
    11·1 answer
  • I don't understand the answer to the problem
    5·1 answer
  • What is the value of the inverse shown below? S –1 (0) =
    12·2 answers
  • Five gal of water are added to a pool each minute.
    12·2 answers
  • An article valued $120 was increased by 12%. determine the new value
    9·2 answers
  • Lorraine threw a football 9.89 meters. Belinda threw the football 12.20 meters. How many meters farther did Belinda throw the fo
    7·1 answer
  • Grades do Friday plz help I’ll do anything 1. Write an equation in standard form for the line shown
    7·1 answer
  • I NEED HELP!!<br> Select correct answer
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!