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
klio [65]
3 years ago
8

The maintenance department at the main campus of a large state university receives daily requests to replace fluorecent lightbul

bs. The distribution of the number of daily requests is bell-shaped and has a mean of 40 and a standard deviation of 4. Using the 68-95-99.7 rule, what is the approximate percentage of lightbulb replacement requests numbering between 40 and 48?

Mathematics
1 answer:
aliina [53]3 years ago
7 0

Answer: 47.5%

Step-by-step explanation:

Given : The distribution of the number of daily requests is bell-shaped and has a mean of \mu=40 and a standard deviation of 40\sigma=4.

To find : The approximate percentage of lightbulb replacement requests numbering between 40 and 48.

We can see that 48=40+2(4) i.e. 48 is two standard deviations ( to the right) from the mean.               (1)

And 40 is the mean value (\mu) itself . It means the lower limit lies at the center of the normal curve (at z=0).

It means we need only right the region which is 2 standard deviations from the mean (at z=2).

According to the 68-95-99.7 rule, 95% of the population falls within two deviation from the mean in both left and right side of the normal curve.

Then, the required area will be : \dfrac{95\%}{2}=47.5\%

Hence,  the approximate percentage of lightbulb replacement requests numbering between 40 and 48 = 47.5%

You might be interested in
a pair of sneakers is on sale for $51 this is 75% of the original price, what is the original price of the shoes?
sertanlavr [38]
Ok so first u have to devide the 51 into 4. So 51 divided by 4 is 12.75. Then it is 75% of it so 75% is 3/4 so you will have to multiply 12.75 by 3. That would equal 38.25. YOUR ANSWER IS 38.25
8 0
3 years ago
What is the period of the function f(x)=sin(x/3) ?
vitfil [10]
<h3>Answer: 6pi radians</h3>

(this is equivalent to 1080 degrees)

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

Explanation:

f(x) = sin(x/3)

is the same as

f(x) = 1*sin( (1/3)(x-0) )+0

and that is in the form

f(x) = A*sin( B(x-C) )+D

The letters A,B,C,D are explained below

A = helps find the amplitude

B = 2pi/T, where T is the period

C = determines phase shift (aka left/right shifting)

D = determines vertical shift = midline

All we care about is the value of B as that is the only thing that is connected to the period T

--------

Compare f(x) = 1*sin( (1/3)(x-0) )+0 with f(x) = A*sin( B(x-C) )+D and we see that B = 1/3, so,

B = 2pi/T

1/3 = 2pi/T

1*T = 3*2pi ... cross multiply

T = 6pi

The period is 6pi radians. This is equivalent to 1080 degrees. To convert from radians to degrees, you multiply by (180/pi).

6 0
3 years ago
The area of the triangle below is 8.91 square inches. What is the length of the base?
Studentka2010 [4]

Answer:

8.1 inches

Step-by-step explanation:

Area of a triangle = ½ × base × height = Area

Rearranged =

\frac{area}{ \frac{1}{2}  \times height}

Base is the length by the way.

\frac{8.91}{ \frac{1}{2} \times 2.2 }

=8.1 inches

6 0
3 years ago
Read 2 more answers
Compare the functions. f(x)=10x g(x)=5^x h(x)=4x^2+5x select the true statement
antiseptic1488 [7]

Answer:

equals 56

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Identify the vertex of the function graphed below.
77julia77 [94]

Answer: (3, -2)

Step-by-step explanation:

The vertex is the highest or lowest point of a parabola, and I found it. Hope this helps :)

7 0
3 years ago
Other questions:
  • Point of concurrency help!! second question
    11·1 answer
  • What is the answer please
    8·1 answer
  • What is an equivalent expression to a^3b^2x^4a
    13·1 answer
  • sadie finished her math test 16 minutes less than 3 times the amount of time it took her friend laura to finish. if their combin
    10·1 answer
  • Anthony repairs bicycles. He charges $5.00 for each bicycle plus $10.00 for each
    12·1 answer
  • At president Bush's inauguration in 2005,the newspaper headlines stated there were about 400,00 people in attendance. if the new
    15·2 answers
  • How do I determine the restricted values in this expression?
    14·1 answer
  • Need help with number 10 please
    11·1 answer
  • 12-w=1 solve for w help me please
    15·1 answer
  • Factor the polynomial by its greatest common monomial factor.<br> 14x2 + 28x5
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!