The life of light bulbs is distributed normally. the variance of the lifetime is 625 and the mean lifetime of a bulb is 530 hours. find the probability of a bulb lasting for at most 564 hours. round your answer to four decimal places.

Answer:

c=18.50h+20

Step-by-step explanation:

Answer:

we haul y=.045x+20

you haul y=1x

Three easy steps make dividing fractions the simplest: convert the divisor into a reciprocal. Multiply after changing the division symbol to a multiplication symbol. If you can, simplify.

Divide: 2/3 : 1/6 = 2/3 · 6/1 = 2 · 6/3 · 1 = 12/3 = 3 · 4/3 · 1 = 4

When two fractions are divided, the first fraction is multiplied by the second fraction's reciprocal value. Finding the reciprocal of the second fraction (reverse the numerator and denominator, reciprocal of 1/ 6 is 6/1) is the first sub-step. Multiply the two numerators after that. Multiply the two denominators after that. The next intermediate step, cancellation by a common factor of 3, results in 4.

It takes only three easy steps to subtract fractions.

Divide: 2/3 : 1/6 = 2/3 · 6/1 = 2 · 6/3 · 1 = 12/3 = 3 · 4/3 · 1 = 4

Ensure that the denominators (the bottom numbers) are the same.

Take the highest digits out (the numerators). Place the solution above the same numerator.

Make the fraction simpler (if needed).

To learn more about Division refer to:

https://brainly.com/question/25289437

#SPJ1

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

Explanation:

Let's go through the answer choices

Going back to choice C, again we don't have enough info to determine if the system is independent or dependent, but we at least know it's consistent. Consistent systems have one or more solutions. So part of choice C can be confirmed. It being the only thing left means that it has to be the final answer.

If it were me as the teacher, I'd cross out the "independent" part of choice C and simply say the system is consistent.

Answer:

Above that (1, 0, 1) is a solution to a system of three linear equations, The system can only be independent and consistent. is true about the system.

Answer:

A

Step-by-step explanation:

the order of letter should resemble the same shape

Answer:

A - B = {B, C, D, G}

Step-by-step explanation:

Given the necesscary sets, A and B:

A = {B, C, D, E, F, G}
B = {A, E, F, I, O, U}

By applying the operation, A - B, will only result in elements from set A. The elements must also not be apart from other sets (union sets from A and B).

Hence, A - B = {B, C, D, G}

The confidence interval for the mean level of carbon dioxide present in the facility is (806.05,828.91) and the critical value is 2.77 which is used to find out the confidence interval.

Given measurement of carbon dioxide :828.1,812.1,805.9,810,831.3

We have to construct a confidence interval for 95% for the mean level of carbon dioxide present in the facility.

n=5

sample mean=817.48 (calculated in figure)

sample standard deviation=\(\sqrt{(x_ -x_{bar} )^{2} /n-1 }\)

=\(\sqrt{522.768/4}\)

=11.43

We have to apply t test as n<30

t critical at 95% with degree of freedom=4              (5-1)

=2.77

Confidence interval=X bar ±standard error

Standard error= t*s/\(\sqrt{n}\)

=2.77*11.43/\(\sqrt{5}\)

=14.13

Lower boundary=817.48-11.43

=806.05

Upper boundary=817.48+11.43

=828.91

Hence the confidence interval is (806.05,828.91).

Learn more about confidence interval at https://brainly.com/question/15712887

#SPJ4

The probability that no letter is repeated in a 6-letter password randomly chosen from the alphabet is approximately 0.0107, or 1.07% when rounded to four decimal places.

To find the probability that no letter is repeated in a 6-letter password randomly chosen from the alphabet, we can follow these steps:

Step 1: Determine the total number of possible passwords.
Since there are 26 letters in the alphabet and repetition is allowed, there are 26⁶ = 308,915,776 possible passwords.

Step 2: Calculate the number of passwords without letter repetition.
For the first letter, you have 26 choices. For the second letter, you have 25 choices left (since you can't repeat the first letter). Similarly, for the third letter, you have 24 choices, and so on. So, the number of passwords without repetition is 26 x 25 x 24 x 23 x 22 x 21 = 3,315,312,000.

Step 3: Calculate the probability of no-letter repetition.
Divide the number of passwords without repetition by the total number of possible passwords:
Probability = (3,315,312,000) / (308,915,776) ≈ 10.7321

It seems that there's an error in the calculations above, so let's correct it.

Step 2 (Corrected): Calculate the number of passwords without letter repetition.
26 x 25 x 24 x 23 x 22 x 21 = 3,315,312

Step 3 (Corrected): Calculate the probability of no-letter repetition.
Probability = (3,315,312) / (308,915,776) ≈ 0.0107

You can learn more about probability at: brainly.com/question/14210034

#SPJ11

The weight of an object with a mass of 2 kg would be 6 N on this planet, assuming the direct variation relationship holds.According to the given information, the weight of an object varies directly with its mass.

This implies that there is a constant of proportionality between weight and mass. Let's denote this constant as k.

From the given data, we have:

Mass = 5 kg

Weight = 15 N

Using the direct variation equation, we can write:

Weight = k * Mass

Substituting the given values, we have:

15 N = k * 5 kg

To find the value of k, we divide both sides of the equation by 5 kg:

k = 15 N / 5 kg = 3 N/kg

Now that we know the constant of proportionality, we can find the weight of an object with a mass of 2 kg:

Weight = k * Mass = 3 N/kg * 2 kg = 6 N.

For such more questions on Weight:

https://brainly.com/question/25973294

#SPJ11

The area of the circle of radius = 5cm is 78.54cm² because the formula of the area of a circle is Πr².

To find the area of a circle, you need to know the radius (r) or the diameter (d). The formula for the area of a circle is:

A = π\(r^{2}\)

or

A = (π/4)\(d^{2}\)

where A is the area and π (pi) is a mathematical constant approximately equal to 3.14159.

The formula for the area of a circle is:

A = π\(r^{2}\)

where A is the area and r is the radius of the circle.

If the radius of the circle is 5cm, then we can substitute this value into the formula and calculate the area as:

A = π\((5)^{2}\)

A = 25π

A ≈ 78.54 square centimeter

To know more about area visit:

brainly.com/question/28642423

#SPJ1

The given angles are correspoding angles because they are at the same side of the transversal and one is interior to the parallels and the other one is exterior to the parallel.

By corresponding angles, we can deduct that these angles are congruent

We solve for x

To find each angle, we use the x-value.

David takes a car to get to the airport in time for his trip. 210 miles distance is the airport from his house in miles.

Given that,

David takes a car to get to the airport in time for his trip. He travels 35 miles in the first hour but understands that if he keeps going at this rate, he will be one hour late. For the final 15 miles to the airport, he speeds up by 15 mph and gets there 30 minutes early.

We have to find how far is the airport from his house in miles.

Distance traveled after 1 hour

Let us take the distance traveled after first 1 hour as y

Distance/speed = time

After 1 hour his speed = (35 + 15) = 50 mph

Total time count of 1 hour and 30 mins is 1.5 hr

y/50 + 1.5 = y/35

Multiply through by350

7y + 525 = 10y

3y = 525

y = 525/3

y = 175 miles

In the first 1 hour, at 35 mph, distance covered = 35 miles

Distance from his home to airport = 175 miles + 35 miles = 210 miles

Therefore, the distance between David's home and the airport is 210 miles.

To learn more about distance here: brainly.com/question/2854969

#SPJ4

Step-by-step explanation:

cos (3x-7)

0,9335804265

sin (2x+5)

0,1736481777

The parameter estimate is statistically different from zero when the absolute value of the t-statistic is greater than the critical value associated with the desired level of significance.

In hypothesis testing, the t-statistic is calculated by dividing the parameter estimate by its standard error. The t-statistic measures the number of standard errors the parameter estimate is away from the null hypothesis value (usually zero).

If the absolute value of the t-statistic is greater than the critical value, it means that the parameter estimate is significantly different from zero at the chosen level of significance. In other words, there is evidence to reject the null hypothesis and conclude that the parameter is not equal to zero.

The specific critical value depends on the desired level of significance and the degrees of freedom associated with the t-distribution. If the absolute value of the calculated t-statistic exceeds the critical value, it indicates that the parameter estimate is statistically significant and significantly different from zero.

To study more about T-Statistic:

https://brainly.com/question/15110538

Answer:

Its D

Step-by-step explanation:

The unit circle is a circle of radius 1 centered at the origin. The equation of the unit circle is:

x^2 + y^2 = 1 For the given problem, we want the parametric equations that trace the unit circle clockwise starting at (-1, 0).

These equations trace the unit circle counterclockwise starting at (1, 0).To trace the circle clockwise, we need to reverse the direction of the parameter.

We can do this by replacing t with -t.

Therefore, the parametric equations that trace the unit circle clockwise starting at (-1, 0) are:

x = -1 + \cos(-t) y = \sin(-t)

Simplifying these equations, we get:

x = -1 + \cos(t) y = -\sin(t) .

Since we reversed the direction of the parameter to trace the circle clockwise, the domain of the clockwise motion is also [0, 2π].Thus, the parametric equations for the unit circle traced clockwise starting at (-1, 0) including the domain are:

x=−1+costy=−sint where 0≤t≤2π.

To Know more about  interval visit:

brainly.com/question/11051767

#SPJ11

Answer:

x = 2y+4

y = 3x2 squared 2

x = y

Step-by-step explanation:

Answer

first off dinos are not alive anymore but u would have 7 dinos in the room i think but hiiiiiiiiiiiiiii marci!!!!!!!!!!!!

Step-by-step explanation:

There are a total of six people in the group. To select two individuals at random, we can use the formula for combinations, which is nCr = n!/r!(n-r)!, where n is the total number of individuals in the group and r is the number of individuals to be selected. Therefore, the number of selections possible is:

6C2 = 6!/(2!(6-2)!) = 15

The formula for combinations is used to calculate the number of ways we can select r individuals from a total of n individuals. This formula is nCr = n!/r!(n-r)!. In this case, n is 6 (the total number of individuals in the group) and r is 2 (the number of individuals to be selected). Therefore, we substitute n=6 and r=2 into the formula to obtain the number of selections possible.

The number of selections possible from a group of six people, where two individuals are to be selected at random, is 15. This is obtained by using the formula for combinations, which is nCr = n!/r!(n-r)!, where n is the total number of individuals in the group and r is the number of individuals to be selected.

To know more about combination visit:

https://brainly.com/question/28065038

#SPJ11

The minimum acceptable rate of 1 sigma of quality production is d) 68.

This corresponds to a 68% acceptance level, which is equivalent to 1 standard deviation in a normal distribution.

A 1 sigma level corresponds to a standard deviation that captures approximately 68% of the data within a normal distribution. This means that if a process is operating at a 1 sigma level, it has a 68% acceptance rate, and the remaining 32% of the data falls outside the acceptable range

Learn more about acceptance level here: brainly.com/question/14144046

#SPJ11

The matrix A does not eigenvector v corresponding to the given eigen value.

λ.A = [ -11  60 ]

v = [ 1   3λ ]

v is an eigenvector of A calculate corresponding eigenvalue,

A × v = λ × v

where A is the given matrix.

v is the given vector.

λ is the corresponding eigenvalue.

× denotes matrix multiplication.

Let's first calculate A × v we have,

A × v

= [-11 60] × [ 1 3λ]

= [-11-33λ    60+ 180λ]

Check A× v is equal to λ × v ,

λ × v =

λ × [ 1 3λ]

= [λ  3λ^2]

Set these two vectors equal to each other and get the following system of equations ,

-11-33λ = λ  __(1)

60+ 180λ = 3λ^2  ___(2)

From equation (1) we get,

⇒34λ = -11

⇒ λ = -11/34

Substituting this value of λ into the second equation, we have,

60+ 180λ = 3λ^2

⇒ 60 + 180(-11/34) = 3(-11/34)^2

⇒ (2040 -1980)/ 34 = 3(-11/34)^2

⇒ 60/34 = 3( 11/34)^2

⇒ 60 × 34 = 3 × 11 × 11

⇒20× 34 = 11 × 11

Which is not true.

so the value of λ does not satisfies both equations.

Therefore, v is not an eigenvector of A with corresponding eigenvalue λ.

Learn more about eigen vector here

brainly.com/question/11865376

#SPJ4

The above question is incomplete, the complete question is:

Check whether v is an eigen vector of A  if yes find the corresponding eigen value.

λ.A = [ -11  60 ]

v = [ 1   3λ ]

Answer:

69 degrees

Step-by-step explanation:

yeah

Answer:

Rational numbers are; A, E, F, I

Integers are; H and D

Whole numbers are J and B

Natural numbers is G

Please find attached the location of the letters on the real number system

Step-by-step explanation:

Rational numbers are numbers that can be expressed as the ratio, a/b, of two numbers as a/b where a and b are integers

Integers are the negative and positive whole numbers

Whole numbers are the positive counting numbers from 0 and above

Natural numbers are the positive counting  numbers, sometimes including 0.

If each shirt is the same price, the cost of each one include the following:  B. $20.75.

In Mathematics, a unit price can be defined as the price that is being charged by a seller for the sale of a single unit of product.

In order to determine the unit price for the shirt, we would divide the cost of shirts by the number of shirts based on the following mathematical equation (formula);

Unit price = Cost of shirts/Number of shirts

By substituting the given parameters into the unit price formula, we have the following;

Unit price = $124.50/6

Unit price = $20.75.

Read more on unit price here: brainly.com/question/25381934

#SPJ1

Complete Question:

Luisa will buy 6 shirts for $124.50. If each shirt is the same price, how much does each one cost?

A. $20.07

B. $20.75

C. $27.05

D. $27.50

The probability of exponential random variables that your job will be ready before 10:01 is approximately 0.0693, or about 6.93%.

We can use the cumulative distribution function (CDF) of the exponential distribution to solve this problem. Let X be the random variable representing the time it takes to print a job. Then, X follows an exponential distribution with parameter λ = 1/12, since the expectation of X is 12 seconds.

The probability that your job will be ready before 10:01 is equal to the probability that the printer finishes the first two jobs in less than 1 minute since your job is third in line.

Let Y be the random variable representing the time it takes to print the first job. Then, Y also follows an exponential distribution with parameter λ = 1/12.

The probability that the first job is finished before 10:01 is given by:

P(Y < 60) = 1 - \($e^{(-\lambda t)}$\) = 1 - \(e^{(-(1/12)(60))}\) = 0.3935

Similarly, the probability that the second job is finished before 10:01 is also 0.3935, since it is also an exponential random variable with the same parameter. Therefore, the probability that your job will be ready before 10:01 is:

P(X < 60) = P(Y < 60) × P(Y < 60) × P(X < 60) = 0.3935² × (1 - \($e^{(-\lambda t)}$\)) = 0.0693

Learn more about exponential random variables at

https://brainly.com/question/31438906

#SPJ4

Answer:

k=45

Step-by-step explanation:

Since the sum of the measures are 180 and the measures are 45 degrees, k degrees, and 2k degrees, we can conclude that \(45+2k+k=180\). 2k and k are like terms, so you can add 2k and k to get 3k.Then, you would have  \(45+3k=180\). Since you are finding k, you want to isolate k as best you can. To do this, you subtract 45 on both sides \(45-45+3k=180 -45 \\3k=135\) as shown by the equation, 180-45 is 135. Then, you divide 3 on both sides to get k=45.

Answer:

  (a)  seventy-three and three fifths square inches

Step-by-step explanation:

You want to know the area of the quilt block shape shown.

The shape can be considered to be composed of a rectangle 10.6 inches long, together with a right triangle with side lengths 4 and 5 inches.

The relevant area formulas are ...

  triangle: A = 1/2bh

  rectangle: A = bh

The area of the triangle is ...

  A = 1/2(5 in)(4 in) = 10 in²

The area of the rectangle is ...

  A = (10.6 in)(6 in) = 63.6 in²

The total area is ...

  10 in² +63.6 in² = 73.6 in²

The area of the shape is 73 3/5 square inches.

<95141404393>

The value of k is 2, so correct option is B.

Integration is a fundamental concept in calculus that involves finding the area under a curve or the accumulation of a quantity over a continuous range. It is the inverse operation of differentiation, and together, they form the basis of calculus.

The process of integration involves finding an antiderivative (or indefinite integral) of a function f(x), which is another function F(x) whose derivative is equal to f(x). The antiderivative is denoted by ∫f(x)dx and is read as "the integral of f(x) with respect to x". The symbol ∫ is called the integral sign, and dx represents the variable of integration.

We have:

(6kx-2k) dx = k^3

Integrating the given expression with limits k and 0, we get:

[3kx² - 2kx]k⁰

= 3k(0)² - 2k(0) - [3k(k)² - 2k(k)]

= 0 + 0 - (3k³ - 2k²)

= -3k³ + 2k²

So, we have:

-3k³ + 2k² = k³

4k³ = 2k²

2k = 4

k = 2

Therefore, the correct option is B 2.

To know more about expression visit:

brainly.com/question/24242989

#SPJ1