The life of light bulbs is distributed normally. The variance of the lifetime is 900 and the mean lifetime of a bulb is 520 hours. Find the probability of a bulb lasting for at most 576 hours. Round your answer to four decimal places.

Answers

Answer 1

Answer:

0.969

Step-by-step explanation:

Given that:

Mean lifetime (m) = 520 hours

Variance = 900

Hence, standard deviation (s) = √900 = 30

Probability that bulb will last for at most 576 hours

X ≤ 576

Obtain the standardized score :

Using the relation :

Zscore = (x - m) / s

Zscore = (576 - 520) / 30

Zscore = 56 / 30

Zscore = 1.867

P(Z ≤ 1.867) : using the z probability calculator ;

P(Z ≤ 1.867) = 0.96905

Hence, P(Z ≤ 1.867) = 0.969


Related Questions

help meh plss :) i don't know the answer

Answers

Answer:

33 1/3

Step-by-step explanation:

7a/9bc divided by 21a/12b

Answers

Answer:

Step-by-step explanation:

I dont know if you meant to punch in a c into the equation but if you didnt mean to i have both answers

The one that contains a c in the fraction that you asked for!

Help and please do not report I got an practice thing from my tutor, so it's not a quiz.

Answers

Answer:

The answer is D. II 1 > -2 and III -2< 1 Hopefully this is helpful!

Step-by-step explanation:

e length of a rectangle is five times its width. If the area of the rectangle is 320in, find its perimeter.

Answers

Answer:

Step-by-step explanation:

Let width of rectangle =X

So length=5x

Given area of rectangle =320inch

Area of rectangle =length ×width

Length×width=320

5X×X=320

5x^2=320

x^2=320/5

x^2=64

So X=√64

Width x= 8inch

Length 5x=5×8

= 40 inch

Perimeter of rectangle =2(length+width)

=2(40+8)

=2(48)

=96inch

Which of the following is a biconditional statement?
Question 17 options:

A)

If x ≠ 5 then x2 ≠ 25

B)

If x2 = 25, then x = 5 or x = –5

C)

x = 5 if x2 = 25

D)

x = 5 if and only if x + 5 = 10

Answers

It is D

I just took the test and got it right

The biconditional statement is x = 5 if and only if x + 5 = 10.

Option D is the correct answer.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Biconditional statement.

This means,

The statement and its converse are both true.

Now,

x = 5 if and only if x + 5 = 10

This shows that both the statement and its converse are true.


Thus,

x = 5 if and only if x + 5 = 10 is a biconditional statement.

Learn more about expressions here:

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i need help with this ^

Answers

Answer:

I think it's 3

Step-by-step explanation:

If 2 is c than subtract  it and it's 3?

What's the slope and y-intercept?
Help please!!!

Answers

Answer:

slope of fig 1st(m)= 1/4

y-intercept of 1st fig=-1

slope of fig 2= -1

y-intercept of 2nd fig=2

Step-by-step explanation:

A spinner is divided into eight equal-sized sections, numbered from 1 to 8, inclusive. What is true about spinning the spinner one time? Select three options. S = {1, 2, 3, 4, 5, 6, 7, 8} If A is a subset of S, A could be {1, 2, 3}. If A is a subset of S, A could be {7, 8, 9}. If a subset A represents spinning a number less than 4,then A = {1, 2, 3, 4}. If a subset A represents the complement of spinning an odd number, then A = {2, 4, 6, 8}.

Answers

Answer: A, B, and E

Step-by-step explanation:

The true statements are (A) A could be {1, 2, 3} and (B) A could be {1, 2, 3, 4}, where A  is a subset of S

How to determine the true statements?

The sample space is given as:

S = {1, 2, 3, 4, 5, 6, 7, 8}

The possible subsets of S are as follows:

Even numbers = {2,4,6,8}Odd numbers = {1,3,5,7}Any number or group from 1 to 8, inclusive

Using the above highlights, the possible set of A are:

A could be {1, 2, 3}. A = {1, 2, 3, 4}.

Hence, the true statements are (A) and (B)

Read more about spinners at:

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Please help with both and leave a small explanation! I wanna double check my answers!

Answers

Answer:

(1)Hoops shadow would be 6 ft (2) model would be 3 cms

Step-by-step explanation:

9 / 3 = 3   3 x 2 = 6 ft

15 / 5 =3    3 x 1 = 3 cm

plese help
plese
plese

Answers

B 25% percent because 15/60 is 25
Answer: C
15 seats were empty, so 45 out of 60 seats were taken. 45 divided by 60 is 0.75, which is 75%

Trina earns $28.50 tutoring for 3 hours. Write an equation relating her earrings "m" to the number of hours "h" she tutors. Assuming the situation is proportional, how much would Trina earn tutoring for 2 hours? For 4.5 hours?

Answers

Answer:

Step-by-step explanation:

28.50/3=9.50 dollars per hour

y=9.50h

Trina earns $19.00 for 2 hours

Trina earns $42.75 for 4.5 hours

Answer:

If Trina earns $28.50 in 3 hours, that means she earns $9.50 per hour.

9.50h = m   --->  earnings = 9.50 x hours

2 hours = 9.50 ( 2) =  $19

4.5 hours = 9.50 ( 4) = $42.75

Step-by-step explanation:

Fihd the area of the triangle.
6
8
square units

Answers

Answer:

area of triangle is

[tex]\frac{1}{2} * b*h\\\\\frac{1}{2} *6*8\\\\6*4=24[/tex]

The equation F= 9/5C +32 relates temperature measured in degrees Celsius. C, to degrees Fahrenheit, F. Determine whether there is a proportional relationship between C and F.

Answers

Given:

The equation is

[tex]F=\dfrac{9}{5}C+32[/tex]

To find:

Whether there is a proportional relationship between C and F.

Solution:

If there is a proportional relationship between C and F, then the line of given equation passes through (0,0) and the equation must be true for (0,0).

Put F=0 and C=0 in the given equation.

[tex]0=\dfrac{9}{5}(0)+32[/tex]

[tex]0=0+32[/tex]

[tex]0=32[/tex]

This statement is not true because [tex]0\neq 32[/tex].

It means the line of given equation does not passes through (0,0). So, it s not a proportional relationship.

Hence, there is not a proportional relationship between C and F.

Answer:

korrect

Step-by-step explanation:

it looks right

Multiply two and four-fifths negative five and two-thirds

Answers

The answer is -25/3.



If you need it simplified let me know.

Given the set of test scores: 71, 75, 80, 81, 81, 84, 89, 93. If a score of 50 is added to the data set, which statement is true? Select all that apply. Choose all that apply:
The mean decreases.

The median decreases.

The standard deviation increases.

The range increases.​

Answers

Answer:

The standard deviation increases, it's mean, medium and mode, if you put them in order and then go through and get your middle number it'll be 81.

If a score of 50 is added to the data set,

The standard deviation increases.

The range increases.​

What is mean?

"It is the average of all elements of the data set."

What is median?

"It is the middle number in a sorted list of numbers."

Formula to calculate the standard deviation:

[tex]SD=\sqrt{\frac{\sum{(x-M)^{2}} }{N} }[/tex]

where, SD is the population standard deviation

N : the size of the population

x : each value from the data

M : the mean of the data

Formula to calculate the range of the data:

range = maximum value - minimum value

For given situation,

Consider the original set of test scores: 71, 75, 80, 81, 81, 84, 89, 93

N = 8

range R = 93 - 71

⇒ R = 22

Mean M = (71 + 75 + 80 + 81 + 81 + 84 + 89 + 93)/8

⇒ M = 654/8

⇒ M = 81.75

Now, we find the median K

First we sort given data set: 71, 75, 80, 81, 81, 84, 89, 93

The middle numbers are 81 and 81

So, the median is the average of 81, 81

So, K = 81

Now, we calculate the standard deviation.

[tex]SD=\sqrt{\frac{[(71-81.75)^{2}+(75-81.75)^{2}+...+(89-81.75)^{2}+(93-81.75)^{2}] }{8} }[/tex]

⇒ SD = 6.61

Consider, the set of test scores with 50 added to the data set.

N = 9

range R = 93 - 50

⇒ R = 43

Mean M =  (71 + 75 + 80 + 81 + 50 + 81 + 84 + 89 + 93)/9

⇒ M = 704/9

⇒ M = 78.22

Now, we find the median K

First we sort given data set: 50, 71, 75, 80, 81, 81, 84, 89, 93

The middle number is 81.

So, the median is K = 81

Now, we calculate the standard deviation.

[tex]SD=\sqrt{\frac{[(71-81.75)^{2}+(75-81.75)^{2}+...+(50-81.75)^{2}+(93-81.75)^{2}] }{9} }[/tex]

⇒ SD = 11.76

So, we can observe that if a score of 50 is added to the data set, the correct statements are:

The standard deviation increases.

The range increases.​

Learn more about mean, standard deviation, median, range here:

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Salvador is 15 years older than Elizabeth. In 6 years, the sum of their ages will be 87. How old are they now?​

please include and explantation

Answers

Answer:

????

Step-by-step explanation:

 

At a store, 3 pieces of cake and 4 pieces of bread together
cost $18.60. The total cost of 2 pieces of cake and 2 glasses of
juice is $12.34. If one piece of cake costs 2 times as much as
one piece of bread, what is the total cost of 5 pieces of cake
and 4 glasses of juice? Include two decimal places in your
answer. For example if the answer is $12 enter it as $12.00.

Answers

9514 1404 393

Answer:

  $28.40

Step-by-step explanation:

Using the given information, we can write three equations relating the three item prices. Let c, b, and j represent the cost of 1 item each of cake, bread, and juice.

  3c +4b = 18.60

  2c +2j = 12.34

  c = 2b

Multiplying the third equation by 2 gives an expression for 4b that we can substitute into the first equation.

  2c = 4b

  3c +2c = 18.60

  c = 18.60/5 = 3.72

Doubling the second equation almost gives us the purchase we want.

  2(2c +2j) = 2(12.34)

  4c +4j = 24.68

Adding one more cake to this give the desired purchase:

  (4c +4j) +c = 24.68 +3.72

  5c +4j = 28.40

The total cost of 5 pieces of cake and 4 glasses of juice is $28.40.

Write a fraction that is equal to 5

Answers

Answer:

5/1

Step-by-step explanation:

Point M lies on the line segment connecting L(-4, 2) and N (2,-4). If M partitions the segment in the ratio 1:2, what are the coordinates of M?

Answers

AWSER is C
~ Give me a like if this helps ⚡️

x + 3y = 13
- 3x + 2y = 27 steps on how to solve by substitution

Answers

here x+3y=13

x=13-3y.....1st equation

-3x+2y=27......2nd euation

now putting the value of x from equation 1st in 2nd we will get

-3(13-3y)+2y=27

-49+9y+2y=27

11y=27+49

y=76÷11

y=6.9

now again putting the value of y in equation 1st we get

x=13-3×6.9

x=13-20.7

x=7.7

10^7+9+1^3 helppp meeee

Answers

Answer:

10000010

Step-by-step explanation:

10^7 is 10000000 plus 9 plus 1^3 which is 1.

10000000+9+1=10000010

Answer:

10000010

Step-by-step explanation:

Lets break down this problem. 10^7 is equal to 10000000 because the exponent is 7 so we add 7 zeros at the end of 1. 1^3 is equal to 1 because any 1 to the power of a positive integer is 1. So, the equation becomes 10000000+9+1 which is equal to 10000010.  


After a 15% increase, a town has 115 people. What was the population before the increase?

Answers

Answer:

100 people

Step-by-step explanation:

Population Of People=115Percentagencrease=15%

The New Population corresponds to 115%

(That is 100+15)

We want to find the population that corresponds to 100% that is the original population.

Therefore Original Population;

[tex] \frac{100}{115}\times {115}{} [/tex]

[tex]100 \: people[/tex]

Help fast! Will give brainliest!!!

Answers

Answer:

Jacki did not subtract 12 from 8 correctly i believe

Nine hundred light bulbs are packaged and shipped to a retail store. Thirteen percent of the light bulbs arrive broken. Which equation can be used to find the number of light bulbs that were broken? StartFraction 13 times 9 Over 100 times 9 EndFraction = StartFraction 117 Over 900 EndFraction StartFraction 13 times 9 Over 900 times 9 EndFraction = StartFraction 117 Over 8100 EndFraction StartFraction 100 divided by 9 Over 900 divided by 9 EndFraction = StartFraction 11.1 Over 100 EndFraction StartFraction 900 divided by 9 Over 13 divided by 9 EndFraction = StartFraction 100 Over 1.4 EndFraction

Answers

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

In the diagram, lines m and n are parallel. What is the measure of w?

Answers

Answer:

35 degrees

Pleaase seek help u need to be smarter than this giv me brainilest

what is the product of 22 and 8

Answers

the product of 22 and 8 is 56

Answer:

22 times 8 is equal to 176

Step-by-step explanation:

4. The value of a copy machine is $8500 when it is purchased. After two years its value is $7475. What is its value after 8 years?​

Answers

Answer:

3375 is the answer.

Step-by-step explanation: 8500- 1025=7475

so 1025 is every to years so we need to subtract 7475-1025-1025-1025-1025 so each 1025 is 2 yrs.

I hope this works :)

Alex is writing statements to prove that the sum of the measures of interior angles of triangle PQR is equal

Answers

Answer:

here

Step-by-step explanation:

Alex is writing statements to prove that the sum of the measures of interior angles of triangle PQR is equal to 180°. ... Triangle PQR has vertex P on line n and vertices Q and R on line m. Angle QPR is 80 degrees. Segment PQ makes 40 degrees angle with line n and segment PR makes 60 degrees angle with line n.

Answer:

Angle PQR measures 40 degrees

Step-by-step explanation:

No explanation took the test got it right.

Little late but, oh well, better late than never.

Kayla hikes 25 meters in 13.7 seconds. Which of the following closest to how far she will hike in 6 minutes, if she maintains the same pace

Answers

Answer:

197.28 meters in 6 minutes

Step-by-step explanation:

13.7 seconds ÷ 25 meters = 0.548 meters in 1 second

6 minutes = 360 seconds (6 minutes x 60 seconds in every minute = 360 seconds)

0.548 meters in 1 second x 360 seconds = 197.28 meters in 6 minutes

Hopefully this helped! Sorry if wrong. You are loved and you are beautiful/handsome!

-Bee

I need help with 10 please!!!!!!!

Answers

From the graph, [tex]y=mx+b[/tex] and m < 0 (The slope right here is less than 0.)

That means cut ( b ) and ( d ) choice, they both are wrong.

Now look at ( a ) and ( c ).

For ( a ) It's just f(x) = -2x but the graph that's shown here intercepts y-axis at (0,2).   f(x) = -2x is just slope and intercepts y-axis at (0,0)

So the answer is ( c )

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