The physical plant at the main campus of a large state university receives daily requests to replace fluorescent light bulbs. The distribution of the number of daily requests is bell-shaped and has a mean of 47 and a standard deviation of 7. Using the empirical rule (as presented in the book), what is the approximate percentage of lightbulb replacement requests numbering between 47 and 68

Answers

Answer 1

Answer:

The approximate percentage of lightbulb replacement requests numbering between 47 and 68 is 49.85%.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 47

Standard deviation of 7

What is the approximate percentage of lightbulb replacement requests numbering between 47 and 68?

The normal distribution is symmetric, which means that 50% of the measures are below the mean and 50% of the above.

Between 47 and 68:

68 = 47 + 7*3

So 68 is three standard deviations of the mean.

Of the 50% above the mean, approximately 99.7% are between the mean of 47 and 3 standard deviations above the mean, which is 68. So

0.5*0.997 = 0.4985

0.4985*100 = 49.85%

The approximate percentage of lightbulb replacement requests numbering between 47 and 68 is 49.85%.


Related Questions

One-step word problems:
1) Lisa is cooking muffins. The recipe calls for 7 cups of sugar. She has already put in 2 cups. How many more cups does she need to put in? ​

Answers

Answer:

she needs to put in 5 more cups of sugar.

Step-by-step explanation:

in the word problem it states that shee needs 7 cups of sugar and since she already put in 2 cups, you have to subtract 2 from 7 since she already put 2 cups in, and then you get your answer which is 5 more cups.

which function g represents the exponential function f(x)=3^x after a horizontal stretch by a factor of 4 and a reflection across the y-axis?

Answers

Answer: h(x) = 3^(-x/4)

Step-by-step explanation:

If we have a function f(x), an horizontal stretch of scale factor k is written as:

g(x) = f(x/k)

So, if we have the function f(x) = 3^x

A horizontal stretch of scale factor 4 is:

g(x) = f(x/4) = 3^(x/4)

Now we have a reflection across the y-axis

If we have a function f(x), a reflection across the x-axis is written as:

g(x) = f(-x)

Then if now we apply a reflection across the y-axis to the function g(x), we have:

h(x) = g(-x) = 3^(-x/4)

Then the transformation that we wanted is:

h(x) = 3^(-x/4)

y varies jointly as x and z. y = 75 when x = 5 and z = 5. Find y when x = 4 and z=6. y =​

Answers

Answer:

y = 72

Step-by-step explanation:

Joint proportion is given by the expression;

y = kxz

Given the following values;

y = 75, x = 5 and z = 5

To find the constant, k;

75 = k*5*5

75 = 25k

k = 75/25

k = 3

Next, we find the value of y when x = 4 and z= 6

y = kxz

y = 3*4*6

y = 72

Solve by elimination:
-20x-20y=0
-8x-8y=0

Answers

Answer:

Step-by-step explanation:

-20x-20y=0 -8x-8y=0

Substitute

-8(-y)-8y=0

simplify

0=0

x=-y

Find the Volume of the figure. Write the answer in terms of pi. ​

Answers

Answer:

Step-by-step explanation:

[tex]\text{The volume of a cone is}\\ \\ V=\frac{h\pi r^2}{3},\ h=7mi,\ r=2mi\\ \\ V=\frac{7\pi 2^2}{3}\\ \\ V=\frac{28\pi }{3}mi^3[/tex]

Answer:

answer 29.32

Step-by-step explanation:

3.14x2^2 is 12.56 then 12.56x7/3=29.32 because the formula for cone is V=πr2h 3

Can someone help me with this?

Answers

Answer:

270 degrees

Step-by-step explanation:

hexagons have 5 sides and a five-sided shape has a sum of 540 degrees interior angle so 160+170+90 (because the square in the corner is a right angle which always equals 90 degrees) =420 so minus 420 from 540 to get 120+150 which equals 270 degrees. hope this helped.

Which simplified expression is the difference of (0.5n + 0.3) - (0.75n - 0.45) A: -0.25n + 0.15 B: 0.25n - 0.75 C: -0.25n + 0.75 D: 0.25n - 0.15 show work please

Answers

Answer:

(0.5n + 0.3) - (0.75n - 0.45)

0.5n + 0.3 - 0.75n + 0.45

-0.25n + 0.75

So it's C

what is the digit in the thousandths place in the decimal number 1.2478

Answers

Answer:

7

Step-by-step explanation:

2 - tenths

4 - hundredths

7- thousandths

8 - ten-thousandths

Step-by-step explanation:

digit 7 is in the thousandths place

Ryan has 3.25 pounds of hamburger. How many 0.25 pound hamburgers can he make?

Answers

Ryan has 3.25 of hamburger. How many 0.25 pound of hamburgers can he make? The answer: 13

Answer:

13

Step-by-step explanation:

3.25/.25 = 13

Why rotation, reflection, and translation are rigid motion?

Answers

Answer:

Reflections, translations, rotations, and combinations of these three transformations are "rigid transformations". ... A reflection is called a rigid transformation or isometry because the image is the same size and shape as the pre-image.

Hope it helps!!!

Because the image is the same size as the pre-image

E
B
AACB = ADCE, AB = 8 and AC = 6
DE = [ ? ]

Answers

Answer:

88888888888888888888888888

Step-by-step explanation:

8

HELP PLSSSS I BEGG PLSSSSSSSSSSSSSS

Answers

Step-by-step explanation:

every Saturday Michelle takes her dog to the park.

Stevie is laid-back guy and he usually handles tough situations in a very negative way.

Allied liberated another town and also helped hundreds of enemy soldiers.

(10 POINTS) answer ASAP if you can

Answers

Answer: As soon as possible

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Ok, if theres 24 hours in a day and the flavor of the sky is watermelon how many people were born tomorrow?

If the color of the alphabet was 7 and you’re at home on the way to school whats your favorite subject?

How old are you on your 7th birthday when you’re not born yet if i like potatoes?


QUICK ANSWER FAST BEFORE YESTERDAY!

Answers

Answer:

1. red humans, or aleins?

2. i dont  know to be honest

3. -7 yrs old?

Answer:

I dont know

Step-by-step explanation:

If you're eating a bag of water for breakfast at night how many guitars do you need to milk a cow?

solve for x,given the circle
below

with m

Answers

Answer:

x=8 is correct answer

Step-by-step explanation:

when you put 8 then as shown in figure it is about 90 degree angle so x=8 is correct

Please help a brotha out so I can get ungrounded! Will give Brainlyest!

Answers

Given:

HML = 180°

KMG = 180°           (since both are lines)

∠KML = 83°

To find:

Measurement of ∠KMH

Steps:

Since we know HML is a line and equals to 180°, then

∠LMK + ∠KMH = ∠HML

    83° + ∠KMH = 180°

             ∠KMH = 180° - 83°

             ∠KMH = 97°

Therefore the measurement of ∠KMH is 97°

Happy to help :)

If you need any help in any other question, feel free to ask

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Select all statements that show correct reasoning for finding 15 ÷ 2/3. You must choose two answers.

1) Multiply 15 by 2, then divide by 3.

2)Multiply 15 by 3, then divide by 2.

3)Multiply 15 by 4s, then multiply by 2.

4)Multiply 15 by 3, then multiply by 1/2.

Answers

Answer:

2; 4

Step-by-step explanation:

Both work out in the end.

A produce box can hold no more than 25 pounds of potatoes.
a. Write and graph an inequality to represent this situation.
b. Is 9.8 a solution of the inequality?


Best answer get brainless

Answers

Yes 9.8 as a solution

PLEASE HELP!!!!
Factor:
9a^2 - 121

Answers

Answer:

(3a + 11) (3a - 11)

Step-by-step explanation:

:))

In a basketball game, Jaime scored 5 points less than twice the number of points Luis scored. Luis scored 8 points. How many points did Jaime score?

Answers

Answer:

Heyy I hope this helps

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Step-by-step explanation:

8×2

=16-5

=11

Plzzz help me I am
Timed!

Answers

Answer:

c

Step-by-step explanation:

structure with a square or triangular base and sloping sides that meet in a point at the top

They have a rectangle ABCD as shown below, where AB = 24cm BC = 10cm and AE = 13cm
A. Calculate the volume of the rectangle ABCD
B. Calculate the circumference of the BCD triangle
C. Calculate the circumference of the BEC triangle
D. Calculate the circumference of the DEC triangle

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Answer:

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Answers

Its 150 cause V is 1/3*Area*height

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Answers

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Answers

Answer:

52.48x ≤ 288.64

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Step-by-step explanation:

First off, we must find out how much money he has available after buying the bike, reflectors and gloves:

Total spent = (price of bike)+3(price of reflectors)+(price of gloves)

=233.09+3(16.38)+29.13

=311.36

600-311.36=288.64, so he has $288.64 left to spend on outfits.

The cost of x amount of outfits is found by multiplying the amount of outfits, x, by the cost per outfit, 52.48: 52.48x. Since he can only spend up to $288.64, 52.48x must be less than or equal 288.64:

52.48x ≤ 288.64

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x≤5.5

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Answers

The answer to your question is 9.1

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Answers

28*2-3=53 inches
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Answers

Answer:

BY Seeing the figure we can say that it is an

isosceles triangle

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Answers

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Answers

The answer is x³+57 or (x³+57)

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