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
Doss [256]
3 years ago
5

he physical plant at the main campus of a large state university receives daily requests to replace florescent light-bulbs. The

distribution of the number of daily requests is Normally distributed with a mean of 47 and a standard deviation of 10. Using the Empirical Rule, what is the approximate percentage of light-bulb replacement requests numbering between 47 and 57?
Mathematics
1 answer:
Stolb23 [73]3 years ago
8 0

Answer:

47.75 %

Step-by-step explanation:

It is a very well known issue that in Standard Normal Distribution  porcentages of all values fall according to:

μ  +   σ       will contain a 68.3 %

μ   +  2σ    will contain  a  95.5 %

μ  +  3σ      will contain  a  99.7 %

However it is extremely  importan to understand that the quantities above mentioned are distributed simmetrically at both sides of the mean, that is,  the intervals are:

[  μ - 0,5σ ;  μ  + 0,5σ ]

[  μ -   1σ ;  μ  +      1σ ]

[  μ -   1.5σ ;  μ  +   1.5σ ]

So we have to take that fact into account when applying the empirical rule. Then

With   mean    μ  =  47       and  σ = 10   is equal to say

values between    47    and     57    (  μ  +   σ  )  we are talking about the second interval, but just half of it.

Then the  approximate porcentage of light-bulb replacement requests is

95.5 /2   =  47.75 %

You might be interested in
Alright guys, HELP! Please!
MrRa [10]
6.2 = 1.2\pi\sqrt{L(0.0001)}
\frac{6.2}{1.2\pi} = \frac{1.2\pi\sqrt{L(0.0001)}}{1.2\pi}
1.644601079 = \sqrt{L(0.0001)}
(1.644601079)^{2} = (\sqrt{L(0.0001)})^{2}
2.704712708 = L(0.0001)
\frac{2.704712708}{0.0001} = \frac{L(0.0001)}{0.0001}
27047127.08 = L

I had to divide each number by 1.2π, make sure that it can be multiplied by itself twice, and have to divide it by 0.0001 to find out what L is equal to.
7 0
3 years ago
These are my last points plzzz i need help with this one. please give a step by step answer
Olegator [25]

Answer:

the price for each doughnut is $1.05

Step-by-step explanation:

doughnuts = d

cookies = c

2d + 3c = $3.30

5d + 2c = $4.95

to find the answer multiply 2 with the first equation, and multiply -3 with the second equation.

4d + 6c = 3.30

-15d - 6c = -14.85

combine like terms

-11d = -11.55

divide by -11

d = 1.05

4 0
2 years ago
Dan invests £18790 into his bank account. He receives 4.9% per year simple interest. How much will Dan have after 3 years? Give
garri49 [273]

Answer:

£21552.

Step-by-step explanation:

Given information:

Principal amount = £18790

Rate of simple interest =4.9% = 0.049 per year

Time = 3 years

Formula for simple interest:

I=P\times r\times t

where, P is principal, r is rate of interest and t is time in years.

I=18790\times 0.049\times 3

I=2762.13

Total amount after 3 year is

A=P+I

A=18790+2762.13

A=21552.13

A\approx 21552

Therefore, Dan have £21552 after 3 years.

8 0
3 years ago
fourteen cups of tomato sauce makes 30 servings of spaghetti. How many cups are needed for 45 servings?
Arte-miy333 [17]

Answer:

28 cups

Step-by-step explanation:

7 0
2 years ago
Please help! 10 points and brainlyist!!
yarga [219]

Answer:

1.80 in^3

1.0 fluid ounces^3

Step-by-step explanation:

volume of a cone = 1/3 πr²h

π = 3.14

r = 2.2 / 2 = 1.1

h = the value of h can be determined using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

1.8² = 1.1² + b²

3.24 = 1.21 + b²

3.24 - 1.21 = b²

2.03

b = √2.03 = 1.42

Volume = 1/3 x 3.14 x 1.21 x 1.42 = 1.80 in^3

1.80 x 0.554 = 1.0 fluid ounces^3

5 0
2 years ago
Other questions:
  • Use the quadratic formula to solve for the roots in the following equation.
    9·1 answer
  • Aaron has a budget of $100 per month to spend on lunch. He made a table showing the total amount of lunch money he will have lef
    15·1 answer
  • Anyone get this please help me
    8·1 answer
  • A roller coaster train with 6 passenger cars and the front decoration has a mass of 3,500 kg. When the train has
    9·1 answer
  • The coordinates (12,6), (12,15), (4,0) represent the locations of his stops respectfully on a city map. If each unit on the coor
    12·1 answer
  • Solve for y: |6y - 3| + 8 = 35 Select one: a. y = -5 b. y = 5 or y = -4 c. =5=−203 y = 5 o r y = − 20 3 d. y = 5
    12·1 answer
  • I am stuck!! Help me!! I have a test tomorrow‼️‼️‼️‼️‼️
    8·1 answer
  • If I had 10 apples and I give 5 away how much do I have left
    6·2 answers
  • Explain how mental math can be used to estimate a 15% tip on a taxi ride that costs $23.25. Find the tip using that method.
    14·2 answers
  • 20ab over<br> (a-b)2<br><br> If a=4 b =2
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!