The amount of time a certain brand of light bulb lasts is normally distributed with a mean of 1200 hours and a standard deviation of 35 hours. Using the empirical rule, determine what interval of hours represents the lifespan of the middle 68% of light bulbs.

Answers

Answer 1

Answer:

(1165, 1235) (hours)

Step-by-step explanation:

The "middle 68%" of a set of normally distributed data is that data that lies within ONE standard deviation of the mean:

(1200 - 35, 1200 + 35), or

(1165, 1235) (hours)

This is an application of the Empirical Rule.

Answer 2

The interval of hours represents the lifespan of the middle 68% of light bulbs is (1165, 1235) (hours).

What is the standard deviation?

It is a measurement of statistical data dispersion. The degree to which the value varies is known as dispersion.

With a mean of 1200 hours and a standard variation of 35 hours, the length of time a certain brand of light bulb lasts is typically distributed.

The data that is within one standard deviation of the mean is referred to as the "middle 68 percent" of a collection of normally distributed data:

The interval of hours represents the lifespan of the middle 68% of light bulbs is found as;

(1200 - 35)=1165

( 1200 + 35)=1235

(1165, 1235) (hours)

Hence,the interval of hours represents the lifespan of the middle 68% of light bulbs is (1165, 1235) (hours).

To learn more about the standard deviation refer to:

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Related Questions

HELP PLEASE WILL MARK BRAINLIEST

Answers

Answer: I think 8?

Step-by-step explanation:

You might be adding the 6 so therefore maybe you do 6+2= 8 if the median was eqaul to 6.

If this isnt right, I'm sorry!

Answer: 1

The set is:

6 1 5 4 8 7 2 1 2 2

First: We get the median of the original set. To do this we change it from highest to lowest.

1 1 2 2 2 4 5 6 7 8

Then we take the middle number of this set which is the median

2 and 4 are the middle so the median is 3

The median of set 1 is 3

Second: We get the median of the set but with another 6 added

1 1 2 2 2 4 5 6 6 7 8

Take the middle number of this set which is the median

4

The median of set 2 is 4

From this we know the median increases by 1 if the number 6 is added!

P deceased by the total of q and r

Answers

Answer:

P deceased by the total of q and r

Answer:

The answer is: p-(q+r)

Hope that helps. I just did it on my test and I got it right :D

!!!!help asap brainliest reward!!!!!
Compare and contrast pyramids and cones.

Be sure to use mathematical terms to describe parts of the solids.

a. In what ways are they alike?

b. In what ways are they different?

Choose either pyramids or cones, and explain how the formula for their volume can be described using other solids.

Answers

Answer:

Similarities: both have a base which extends into a single vertex.

Differences: a cone only has 1 edge and a pyramid has a minimum of 6 (for a triangular pyramid).

the base of a pyramid is a polygon - the base of a cone is a curve

(a mathematical cone has no edges at all it is a continuous sheet - or two sheets if you consider the vertex as dividing the surface into two sheets).

Step-by-step explanation:

brainliest?

The key difference between Pyramids and cones are:
A pyramid is basically a code that has a base in the form of a polygon.

What are the similarities between Pyramids and Cones?

Pyramids and cones are alike in the following ways:

Their lateral surfaces converge at a vertex;If they are of the same size, then their volume will be the same as wellA pyramid will eventually turn into a cone if the number of sides of its base is increased infinitely.

Because a cone can be made from a right angle triangle, their formulas are also alike in some ways. Notice that both formulas are related to the height of the object.

The formula for the area of a right angle triangle is:

A =   hb/2

The area of a cone is given as:

A = [tex]\pi[/tex] r (r + [tex]\sqrt{(h²+r²)}[/tex]

Learn more about Pyramids and cones at:
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Simplify (5x3 + 7x – 8) + (2x3 – 5x2 – x + 3). Choose the standard form of the answer.

Answers

answer 7x^3 - 5x^2 + 6x -5

Convert: 5 mi= ________ yd
Group of answer choices

1,760

8,800

8,000

7,040

The ___________________ of an object is how heavy the object is
Group of answer choices

none

length

weight

capacity

The _____________________ of a container is the amount the container can hold.
Group of answer choices

length

capacity

No answer text provided.

weight

A standard coffee mug has a capacity of 16 fluid ounces. If Annie needs to fill 26 mugs with coffee, how many total quarts of coffee does she need?
__________________________________________________________
__________________________________________________________

Convert: 9 T = _____________ lb =

Compare. Write <, > or = Solve.

96 fl oz ___________ 13 c

Compare. Write <, > or = Solve.

25 lb ______________ 384 oz


Compare. Write <, > or = Solve.

8 yd ______________ 288 in.


Convert. 336 oz = _________ lb =

Answers

Answer:

I DONT KNOW BUT

Step-by-step explanation:

Solve by grouping 8x^3+3+6x^2+4x

Answers

Answer:

Step-by-step explanation:

Answer:

it cant be simplified but this is what i got

Step-by-step explanation:

sorry if its incorrect :')))))))

find the measure of the indicated angle to the nearest degree

Answers

B. 47°

hope this helps :)

Answer:

A) 71°

Step-by-step explanation:

indicated angle =

[tex]sin^{-1} \frac{51}{54} = sin^{-1}0.94[/tex]

find the value of y in the diagram below.

Answers

9514 1404 393

Answer:

   5

Step-by-step explanation:

The diagram shows that 4y = 20.

Then y is one of 4 equal parts, so y = (1/4)(20) = 5.

The value of y is 5.

115 divided by 356................

Answers

Answer:

0.32        

:)

brainliest greatly appretiated

I recommend using Photomath :)

3. How would you explain to someone who has not yet studied trigonometry the
difference between an identity and an equation?

Answers

Answer:

Solving an equation means finding the value or values for which the two expressions are equal. ... An identity is an equation which is always true, no matter what values are substituted.

What is the difference between trigonometric identity and equation?

A trig identity is an equation that is true for all values of x;

For example:

sin²x + cos²x will always equal 1 no matter what the value of x.

There are some equations considered to be identities that are in fact not true all the time.

tan(2x) = 2tanx/(1 - tan²x) is not true when x = π/2 (right side is undefined).

A conditional equation is one that is true for a subset of the real numbers, i.e. for certain values of x, but not all.

For example:

sin²x - 1 = 0 is only true for some values of x.

sin²x = 1

sinx = ±√(1) = ±1

sinx = 1 or sinx = -1

x = sin-11 or x = sin-1(-1)

x = π/2 + 2kπ, k any integer or x = 3π/2 + 2kπ, k any integer (this can be condensed, but left this way for emphasis).

To learn more about trigonometric identities and equations refer to:

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out of 8 marbles, 3 were green. if 37.5% of them were green, what percentage of the marbles were not green

Answers

100-37.5 = 72.5% of the marbles were not green

Answer:

62.5%

Step-by-step explanation:

100% - 37.5% = 62.5%

(PLEASE HELP)
Which of the following does not represent the lengths of the side of a triangle

A. 2 cm,6 cm,7 cm
B.5 cm,5 cm,8 cm
C.5 cm,2 cm,5 cm
D.3 cm,10 cm,15 cm

Answers

Answer: d
The two smallest sides have to add up to the largest one

For any number n>1, is

|(5 – 3i)^n|

A. greater than 1?
B. less than 1?
C. equal to 1?

Answers

Answer:

A.greater than 1

Step-by-step explanation:

1. take away all the symbols

2. 5-3

3.5-3=2

4. is 2 greater than 1

5. yes

6. answer is A.

Help me out, math is irritating

Answers

Answer:

67958.93228

Step-by-step explanation:

Orginally each face of the pyramid shown to the. Right was a triangke withg the dimensions 109m and 190m . How far was a corner of the base from the pyramis top

Answers

Answer:

219.05 m²

Step-by-step explanation:

Dimension of right angle triangle : 109 m and 190 m

The right angle triangle has a height of 190 m and base length of 109 m

A corner of the base from the pyramid's top is equivalent to the hypotenus of the right angle triangle :

Let :

hypotenus = c ; base = b ; height = a

Hypotenus² = opposite² + adjacent²

c² = a² + b²

c² = 190² + 109²

c² = 36100 + 11881

c² = 47981

c = sqrt(47981)

c = 219.04565

A corner of the base from the pyramid's top is 219.05 m²

Factor each expression completely
4x² + 6x – 40
Show your work!!!

NO LINKS PLS

Answers

Answer:

4x²+6x-40

2(2x²+3x-20) factor out 2

2(2x²+8x-5x-20) split the three into a difference

2(2x(x+4)-5x-20) factor the 2 out of first pair of parenthesis

2(2x(x+4)-5(x+4)) factor the 5 out of second pair of parenthesis

2(x+4)(2x-5) factor

= 2(x+4)(2x-5)

Step-by-step explanation:

i hope this helps :)

Three fourths divided by nine

Answers

Answer:

0.1

Step-by-step explanation:

Divide 3/4 by 9 which will leave you with 0.083 repeated but if you estimate to the closest decimal that will bring you to 0.1 as your final answer.

The correct answer is 1/12

I WILL REWARD HIGHEST POSSIBLE THING, JUST ANSWER PLEASE!

Answers

Given:

Endpoints of a line segment EF are E(-3,8) and F(7,-7).

Point  P divides the segment EF such that EP:PF = 2:3.

To find:

The coordinates of the point P.

Solution:

Section formula: If a point divides a line segment in m:n, then the coordinates of the points are:

[tex]Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]

It is given that EP:PF = 2:3. It means the point P divides the segment EF in 2:3.

Using section formula, we get

[tex]P=\left(\dfrac{2(7)+3(-3)}{2+3},\dfrac{2(-7)+3(8)}{2+3}\right)[/tex]

[tex]P=\left(\dfrac{14-9}{5},\dfrac{-14+24}{5}\right)[/tex]

[tex]P=\left(\dfrac{5}{5},\dfrac{10}{5}\right)[/tex]

[tex]P=\left(1,2\right)[/tex]

Therefore, the coordinates of the point P are (1,2).

John does not want to spend all of his money at one time so he puts the $150 pair of Nikes on a 3 month payment plan. How much money does he have to pay each month for the shoes?

Answers

Answer:

John has to pay $50 for three months

Kayla did her homework as soon as she got home from school, it took her 2/3 of an hour, how many minutes did it take her to do her homework? you need a step by step explanation ​

Answers

Answer:

40 minutes

Step-by-step explanation:

there are 60 min in an hour. 60/3= 20. That Is 1/3 of an hour. 20*2= 40. That is 2/3 of an hour.

Could someone check this answer for me?

Answers

Yes it is correct!
STEP BY STEP:

Answer:

Yes you are correct! :)

pls help help help help help ​

Answers

Answer:

y = -2

Step-by-step explanation:

When the input (x) is -5, we just look at where (-5) is on the x axis and see where the line is for the y-coordinate.

The line is at -2

Can someone please help me with math.

Answers

the first one is B hope this helps

What is the volume of the rectangular prism?

Answers

9514 1404 393

Answer:

  17 7/9 yd³

Step-by-step explanation:

The volume is the product of the dimensions.

  V = LWH

  V = (3 1/3 yd)(2 2/3 yd)(2 yd) = (10/3)(8/3)(2) yd³ = 160/9 yd³ = 17 7/9 yd³

__

Additional comment

You can guess the correct answer with a couple of estimates.

  volume is greater than (3)(2)(2) = 12 . . . . rounding down to integer

  volume is less than (3 1/3)(3)(2) = 20 . . . . rounding 2 2/3 up to 3

Based on the way these numbers are rounded, the volume is closer to 20 than to 12. This strongly suggests that 17 7/9 is the correct answer.

Given 144= 12^2 which statement is true?

I’m I right ? If not can you correct me please

Answers

Answer:

I believe that you are correct.

Step-by-step explanation:

Please help 30 points

Answers

The answer to the equation is 298

The elevator at the state capital has a maximum weight capacity of 2000 pounds. If there are 3

people already on the elevator with a combined weight of 428 pounds, write an inequality to express

the possible weights that may be added to the elevator,

Part A: Define your variable

Part B: Write the inequality

Part C: Describe what your inequality looks like on a number line. Be sure to include whether the

circle is open or closed and the direction the line is shaded.

Answers

Answer:

Step-by-step explanation:

Maximum capacity of the elevator = 2000 pounds

Combined weight of the elevator = 428 pounds

A). Let the possible weights that can be added to the elevator = w pounds

B). Therefore, inequality representing this situation will be,

    428 + w < 2000

C). By solving the given inequality,

    (428 + w) - 428 < 2000 - 428

    w < 1572 pounds

    Now we draw this inequality on a number line.

Sarah downloaded two apps which were 7.48 kb total. If one app was 4.78 kb, how big was the other app?

Answers

Answer:

2.7 kb

Step-by-step explanation:

Total kb = 7.48

Total apps = 2

one app = 4.78

another app = x

> 4.78 + x = 7.48

x = 7.48 – 4.78

= 2.7 kb

Which expressions have a value that is 8 times as much as the sum of 10 and 9? Select the correct answers.
0- 8 x (10 + 9)
1 - 8 x 10 + 9
2- 10 + 9 x 8
3- (10 + 9) x 8
4- (10 x 8) + 9​

Answers

Answer:

3

Step-by-step explanation:

(10+9) = 19

19×8 =152

when you divide 152by8 you still get 19 which is the sum of 10+9

Theo rolls a dice 306 times.

Work out an estimate for the number of times Theo rolls an even number

Answers

I believe it would equal to 51!
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