The life of light bulbs is distributed normally. The standard deviation of the lifetime is 15 hours and the mean lifetime of a bulb is 590 hours. Find the probability of a bulb lasting for at most 605 hours. Round your answer to four decimal places.

Answers

Answer 1

Answer:

0.8413 = 84.13% probability of a bulb lasting for at most 605 hours.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The standard deviation of the lifetime is 15 hours and the mean lifetime of a bulb is 590 hours.

This means that [tex]\sigma = 15, \mu = 590[/tex]

Find the probability of a bulb lasting for at most 605 hours.

This is the pvalue of Z when X = 605. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{605 - 590}{15}[/tex]

[tex]Z = 1[/tex]

[tex]Z = 1[/tex] has a pvalue of 0.8413

0.8413 = 84.13% probability of a bulb lasting for at most 605 hours.


Related Questions

My sister got stuck on these can you tell me the answers?

Answers

don’t click the link above it’s a scam. also i think you measure the eraser using a ruler and that’s the answer lol

HELP [14] pOINTS LOOK AT THE PHOTO

Answers

Answer:

I THINK the answer is , I'm really not confident on this one.

Answer:

They are perpendicular ⊥

Step-by-step explanation:

Christopher has a garden in the shape of a square with a side length of 24 feet. He plans to plant tomatoes along the
diagonal. How long is the diagonal of Christopher's garden?

A - 48 Ft
B - 24 Ft
C - 24 square root of 2
D - 24 square root of 3

Answers

9514 1404 393

Answer:

  C - 24 square root of 2

Step-by-step explanation:

In case you haven't memorized the fact that the diagonal of a square is √2 times the side length, you can figure it from the Pythagorean theorem.

  d² = s² + s² . . . . square of hypotenuse is sum of squares of sides

  d² = 2s²

  d = s√2 = (24 ft)√2 = 24√2 ft

What is the median value of the data set shown on the line plot?

Enter your answer in the box.

[_]

Answers

Answer:

6 is the median...

Step-by-step explanation:

Well first off, you need to know what a median is.

Let's break down the root/suffix/prefix.

Med= Meduim/middle

Median means the middle value.

Let's look at our data:

Skip zero

1-1- First

2-1- second

3-2-third

4-2-forth

5-3 fifth

6-4 - Six is in the middle of the line, making it the median.

7-3 seventh

8-3 eighth

9-2 ninth

10- 0 tenth

11-1 eleventh

12-0 twelfth

What's in between 1-12?  6!!! There's our answer!!!

I hope this helped you! Have a great day!!!

1
2
4
5
Beth filled 56 jars with paint.
If each jar holds 1 pint of paint, how many gallons of paint did Beth use?
Beth used
gallons of paint

Answers

Answer:

7

Step-by-step explanation:

if $5,250 is invested at 4.5% compounded monthly, what is the amount accumulated at the end of 10 years?

Answers

Answer:

In 10 years, you will have $793,789.89

Step-by-step explanation:

Counted with compound interest, i would need to know what was the initial but the answ is $793,789.89

An airplane is traveling at an altitude of 30,000 feet
above sea level and needs to get above 35,000 feet.
The airplane can climb 500 feet every minute. How
long will the airplane need to travel to get above 35,000
feet?

Answers

Answer:

Solution in photo

Which expression is equivalent to ( x4/3 x2/3 )1/3
?

Answers

Answer:

x^2/3

Step-by-step explanation:

(x^4/3 × x ^2/3)^ 1/3

According to laws of indices powers are added if the base is same,

[x^(4/3 + 2/3) ] ^1/3

= (x ^ 6/3 ) ^ 1/3

= (x² )^ 1/3

= x ^ 2/3

Solve - x/6 >_ 3
A
B
C
C

Answers

Answer:

C

Step-by-step explanation:

-×/6>_3

-x>_3×6

-x>_18

x<_-18

Write the expression in radical form.
x 5/4

Answers

The expression [tex]x^{(5/4)[/tex] can be expressed in radical form as either (fourth root of[tex]x^5[/tex] or [tex](\sqrt{x} )^5.[/tex]

To express the expression "[tex]x^{(5/4)[/tex]" in radical form, we can rewrite it as the fourth root of x raised to the power of 5.

Let's break down the process step by step:

Step 1: Start with the exponent "5/4."

Step 2: Express the exponent as a fraction: 5/4.

Step 3: Rewrite the fraction as a radical expression by taking the denominator (4) as the index of the radical.

Step 4: Place the base (x) inside the radical.

Step 5: Raise the base to the power of the numerator (5) outside the radical.

Putting it all together, we have:

[tex]x^{(5/4)} = (fourth root of x)^5[/tex]

In radical form,[tex]x^{(5/4)}[/tex] can be written as the fifth power of the fourth root of x.

This representation emphasizes that we take the fourth root of x first and then raise it to the power of 5. The fourth root indicates that we are finding the value that, when raised to the fourth power, gives us x. The fifth power signifies that we are multiplying that value by itself five times.

Note that the fourth root can also be expressed using the radical symbol (√), so the radical form of [tex]x^{(5/4)[/tex]can be written as[tex](\sqrt{x} )^5.[/tex]

In conclusion, the expression [tex]x^{(5/4)[/tex] can be expressed in radical form as either (fourth root of x)^5 or [tex](\sqrt{x} )^5.[/tex]

For more question on radical visit:

https://brainly.com/question/27847549

#SPJ8

yes
i will help you if you want is that ok

Answers

Answer:

ok

Step-by-step explanation:

Answer:

okay

Step-by-step explanation:

okay i will accept your help

ABC-DBE. Find the missing side length.

Answers

Answer:

x=13.5

Step-by-step explanation:

4.5/6=x/18

cross multiply

6x=18(4.5)

6x=81

x=81/6

x=13.5

What shape is this no links please help me no links

Answers

Answer:

Rectangular Prism.

Answer:

Rectangular prism

Explanation:

It's common sense

Match the scatterplot with correlation coefficient. Write the letter of the scatterplot a/B/C/or D in the appropriate space for 0.341, 0.855, 0.999, -0.721?

Answers

The correlation coefficient for each scatter plot displayed is

A = 0.999B = -0.721C = 0.341D = 0.855

The correlation coefficient gives the strength and direction of relationship between variables using values between -1 and 1 .

plot A has a very perfect association, hence the value 0.999 , Plot D also depicts a strong association with a well defined trendline . For plot B, the slope is negative, hence, the negative value in the coefficient.

Therefore, the type of correlation can be visually inferred from the graph.

Learn more on correlation coefficient:https://brainly.com/question/13879362

#SPJ1

the product of two rational numbers is -12 if one of the number is -8 find the other

Answers

Answer:

The other number is [tex]\frac{4}{3}[/tex]

Step-by-step explanation:

The product of two rational numbers, x and -8, is -12. This means that:

[tex]-8x = -12[/tex]

The other number is x, which we find solving the equation. So

[tex]8x = 12[/tex]

[tex]x = \frac{12}{8} = \frac{4}{3}[/tex]

The other number is [tex]\frac{4}{3}[/tex]

Round 665749 to the nearest hundred thousand?

Answers

Answer = 700000

I hope this helps.
666,000, because 665,749 is closer to 666,000 than 665,000

Orders arrive at a Web site according to a Poisson process with a mean of 11 per hour. Determine the following: a) Probability of no orders in five minutes. Round your answer to three decimal places (e.g. 98.765). Enter your answer in accordance to the item a) of the question statement b) Probability of 3 or more orders in five minutes. Round your answer to three decimal places (e.g. 98.765). Enter your answer in accordance to the item b) of the question statement c) Length of a time interval such that the probability of no orders in an interval of this length is 0.001. Round your answer to two decimal places (e.g. 98.76).

Answers

Answer:

a) 0.39984 = 39.984% probability of no orders in five minutes.

b) 0.06563 = 6.563% probability of 3 or more orders in five minutes.

c) The length of time is 0.63 hours

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of sucesses

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval.

Orders arrive at a Web site according to a Poisson process with a mean of 11 per hour.

This means that [tex]\mu = 11h[/tex], in which h is the number of hours.

a) Probability of no orders in five minutes.

Five minutes means that [tex]h = \frac{5}{60} = \frac{1}{12}[/tex], so [tex]\mu = \frac{11}{12} = 0.9167[/tex]

This probability is P(X = 0). So

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-0.9167}*(0.9167)^{0}}{(0)!} = 0.39984[/tex]

0.39984 = 39.984% probability of no orders in five minutes.

b) Probability of 3 or more orders in five minutes.

This is:

[tex]P(X \geq 3) = 1 - P(X < 3)[/tex]

In which

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]

So

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-0.9167}*(0.9167)^{0}}{(0)!} = 0.39984[/tex]

[tex]P(X = 1) = \frac{e^{-0.9167}*(0.9167)^{1}}{(1)!} = 0.36653[/tex]

[tex]P(X = 2) = \frac{e^{-0.9167}*(0.9167)^{2}}{(2)!} = 0.168[/tex]

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.39984 + 0.36653 + 0.168 = 0.93437[/tex]

[tex]P(X \geq 3) = 1 - P(X < 3) = 1 - 0.93437 = 0.06563[/tex]

0.06563 = 6.563% probability of 3 or more orders in five minutes.

c) Length of a time interval such that the probability of no orders in an interval of this length is 0.001.

This is h for which:

[tex]P(X = 0) = 0.001[/tex]

We have that:

[tex]P(X = 0) = e^{-\mu}[/tex]

And

[tex]\mu = 11h[/tex]

So

[tex]P(X = 0) = 0.001[/tex]

[tex]e^{-11h} = 0.001[/tex]

[tex]\ln{e^{-11h}} = \ln{0.001}[/tex]

[tex]-11h = \ln{0.001}[/tex]

[tex]h =-\frac{\ln{0.001}}{11}[/tex]

[tex]h = 0.63[/tex]

The length of time is 0.63 hours

How are these two scenarios different: 3 people went to the zoo and tickets cost
$15 each in comparison to: 3 people go to the carnival, where tickets cost $15
each and parking costs $10.*
FOR BRAINLIST!!!!

Answers

3 people for the zoo would only cost $45 in total due to free parking but 3 people for the carnival would cost $45 plus $30 for parking for each person making it a total of $75 in comparison to $45 dollars for the zoo

Which triangles are right triangles?
Select ALL correct answers.

Answers

Answer:

2 , 3 ,4

Step-by-step explanation:

to find the right triangle use the pythagorian method

A^2+B^2= C^2

What must be true in order to find a sum for an infinite geometric series?​

Answers

Answer:

That’s just your millennial snowflake brain being unable to comprehend real work. My grandpa lost both his thumbs to frostbite while walking 29.67 kilomiles to school in 10 feet of snow in the summer uphill both ways and he could still wield any tool known to man. And he did so for 83 and a half years until they forced him to retire because he was making all the other workers look like pansies. When he was told he was being forced to retire, he marched into the CEO’s office and declared “I’d rather be dead than a deadbeat.” Then he dropped dead on the spot. Now that’s loyalty!

Samantha answered 90% of the questions on her math test and 80 % of the questions on her history test correctly. If each test had 50 questions , how many questions in all did she answer correctly ?

Answers

Answer:

Samantha got 85 questions right.

Step-by-step explanation:

90% of 50 is 45.

80% of 50 is 40.

40 + 45 = 85

:)

Answer:

95

Step-by-step explanation:

Im pretty sure It's 95 because if you get a 90% on a test with 50 questions, you would've gotten 45 correct. If you get an 80% on a test with 50 questions, you would've gotten 40 correct. Then add them.

Please help! What is the volume of the cylinder?

Answer and explanation please! <3

Answers

Answer:

3386.64[tex]m^{3}[/tex] (rounded to 2 decimal places)

Step-by-step explanation:

Volume of a cylinder = π[tex]r^{2}[/tex]h

                                   = π x [tex]7^{2}[/tex] x 22

                                   = π x 49 x 22

                                   = 3386.63688057

                                   = 3386.64[tex]m^{3}[/tex] (rounded to 2 decimal places)

sorry if this is not right and hope this helps :)

               

The can show below is a cylinder made of aluminum. The diameter of the can is 3 inches and the height of the can is 4 inches.
Which is closest to the total surface area of the can?

A. 14 in
B. 38 in.
C. 28 in.
D.52 in.​

Answers

D. 52 in.

You can find the formula online, just plug in the numbers to it. The formula requires the radius, not the diameter. Remember radius is half of the diameter.

10th grade Geometry Question, I will give brainliest. NEED HELP ASAP!

Answers

Answer:

- 1 + 5 + 2 y is your answer I am the teacher

Please help me answer this math problem.

Answers

Answer:

F. g(x)=f(x)-5

Step-by-step explanation:

60 is 150% of which number?

Answers

Answer:

40

Step-by-step explanation:

10. Your bedroom ceiling is 10 feet high and is 2 times as high as the living room ceiling. Write and solve an equation with one variable to find the height h of the living room ceiling.​

Answers

Answer:

h = 5 ft, which does not make sense since a 5 ft ceiling is kind of small

Step-by-step explanation:

b = 10 ft and h = b / 2, so h = 10/2, h = 5 ft

A birdbath holds 4 liters of water. How many milliliters does it hold?

Answers

Answer:

4000

Step-by-step explanation:

Answer:

4000

Step-by-step explanation:

You have to multiply the volume value by 1000. So 4 x 1000=4000

Square root of 202!!!!!!!!!!!!!! I need help

Answers

Answer:

approximately 14.2127 but it could also be simplified to the square root of 2 times the square root of 101

What is a formula that can be used to find the area of one triangular section of the door? How do you know the formula will work? (3 points) 30 pointss pls answer hurry

Answers

Answer:

The other guy's correct!

Step-by-step explanation:

Other Questions
Convert the following base-ten numerals to a numeral in the indicated bases. a. 861 in base six b. 2157 in base nine C. 131 in base three a. 861 in base six is six A tank is 6 m long, 4 m wide, 5 m high, and contains kerosene with density 820 kg/m3 to a depth of 4.5 m. (Use 9.8 m/s2 for the acceleration due to gravity.)(a) Find the hydrostatic pressure on the bottom of the tank. ___ Pa(b) Find the hydrostatic force on the bottom of the tank. ___ N(c) Find the hydrostatic force on one end of the tank. ___ N Plzzzzz I need help asap thank you No links plzzzzz Leah Wells, a yoga instructor, started a company that sells athletic yoga clothing. You are Leah's marketing manager. (Do not round intermediate calculations and round your final answers to 2 decimal places.) a. After assessing the competitors, you determine that Leah needs to price her products with a markup percentage of 60%. The cost of her tank tops is $48 and her pullovers is $58. Determine the selling price for each of Leah's clothing items. b. Leah is ready to launch her yoga pants. You have determined that she should set her price 30% below her competitor's price of $128. Leah's cost to produce yoga pants is $54 per unit. Determine the markup percentage on Leah's yoga pants. c. Calculate the gross profit margin for tank tops, pullovers, and yoga pants. d. After a year, you determine that Leah should set a standard target margin percentage of 45% on all products. Determine the new prices for tank tops, pullovers, and yoga pants. How did economic change influence gender roles? In your opinion, what was the most significant change to gender roles in the early 19th century?Must be 4 to 6 sentences! I give Brainliest! Please help How is activation energy represented on an energy diagram?EnergyReactantsProductsReaction ProgressO A. Activation energy is the distance from the reactants to the top ofthe "hill."B. Activation energy is the distance from the top of the "hill to theproducts.O C. Activation energy is the final energy level of the productmolecules.oD. Activation energy is the starting energy level of the reactantmolecules. a financial institution offers you a one-year certificate of deposit with an interest rate of 8 percent. you expect the inflation rate to be 7 percent. what is the real return on your deposit? the real return on your investment is percent. What is the mass of sulfuric acid, H2SO4, that is contained in 2.0 L of a 5.85 M solution ?A-1147.44 gramsB- 0.12 gramsC-11.7 gramsD-98.07 grams a speech written by a famous basketball player urging young people to stay in school. CAN SOMEONE PLEASE HELP ME!!!!!! THIS IS MY LAST CHANCE!!!! a 5-year u.s. treasury bond has a yield of 2.4%, while a 10-year aaa corporate bond has a yield of 5.6%. the primary cause(s) of the difference in yield between the two bonds is likely After driving 50 miles, you get caught in a storm and have to slow down by 10 mph. You then drive 75 miles at this slower speed all the way home. Find an equation for the time t of the trip as a function of the speed s of your car before slowing down. A grand jury is in charge of determining whether there is enough evidence to move forward with the charge- 9 out of 12 grand jury members must agree that the process can move forward. If this occurs it is knows as a "true bill" (indictment), if not it is known as a "No bill." (2/3)^2 without exponents PLEASE HELP ME What word does "nomadic" modify if it is being used as an adjective in this epigram?"Old longings nomadic leap,Chafing at custom's chainAgain from its brumal sleepWakens the ferine strain." The marked price of a radio is Sh. 12600. If the shopkeeper can allow a discount of 15% on the marked price and still make a profit of 25%.At what price did the shopkeeper buy the radio? Which wavelength corresponds to photons with a greater energy?a. 320 nmb. 530 nmc. they are equal in energy What is the geometric mean of 4 and 3? Your answer should be a reduced radical, NOT A DECIMAL. I have a bucket which I use to fill apaddling poolI use 19 full buckets of cold water and 8buckets of hot water, so the pool is full.The capacity of the pool is 288 litres.If I poured the water from one bucket intosome glasses, I could fill 32 glasses,What is the capacity of each glassin millilitres? the expression 2 x ( x 7 ) 2 is equivalent to x 2 b x 49 for all values of x . what is the value of b ?