The Weibull density function is given by f(y) = 1 αmym−1 exp(−y m/α), y > 0, 0, otherwise. where α and m are positive constants. This density function is often used as a model for the lengths of life of physical systems. Suppose Y has the Weibull density just given. Find a. the density function of U = Y m . b. E Y k for any positive integer k .

Answer:

k = 4

Step-by-step explanation:

Given polynomial is,

kx² - 12x + 9

We have to find the value of 'k' for which the given polynomial is a square of a binomial.

To find this we will use the formula,

(a - b)² = a² - 2ab + b²

kx² - 12x + 9 = kx² - 2(6x) + 3²

                    = kx² - 2(3)(2x) + 3²

By comparing this with the formula of (a - b)²,

b = 3

a = 2x

(2x)²- 2(2x)(3) + 3² = (2x - 3)²

4x² - 12x + 9 = (2x - 3)²

Therefore, k = 4 will make the polynomial a perfect square of a binomial.

Answer:

rrir

Step-by-step explanation:

e8

For the given median, there are 50 students who scored greater than 72.

What is median?

The median is a measure of central tendency in a set of numerical data. It is the value that separates the higher half of the data from the lower half when the data is arranged in order from least to greatest or greatest to least.

We are given that 99 6th graders took a test and the median score was 72. We want to find out how many students scored greater than 72.

Let the scores be denoted by S1, S2, ..., S99. We can sort these scores in order from least to greatest:

S1 ≤ S2 ≤ ... ≤ S99

Since the median score is 72, exactly half of the scores are above 72 and half are below 72. Thus, the 50th score in the sorted list is 72.

Since there are 99 scores in total, we can approximate the number of students who scored above 72 by dividing the total number of students by 2:

\($\frac{99}{2} = 49.5$$\)

This means that approximately 49.5 students scored above 72.

Since 0.5 rounds up to 1, we round 49.5 up to 50. Therefore, approximately 50 students scored greater than 72.

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Answer:

Solving gives us the result, x = 2, y = -1

Step-by-step explanation:

The system of equations is,

y = 2x-5

y=-2x+3

equating the two equations, we get,

(since y = y)

\(2x-5 = -2x + 3\\4x -5 = 3\\4x = 3+5\\4x=8\\x=8/4\\x=2\)

and then since y = 2x-5

\(y=2(2)-5\\y=-1\)

so, x =2, y = -1

Answer:

m= -1/4

Step-by-step explanation:

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

Explanation:

Recall that

i = sqrt(-1)

Squaring both sides gets us

i^2 = -1

Now let's multiply both sides by i

i*i^2 = i*(-1)

i^3 = -i

Repeat the last step

i^3 = -i

i*i^3 = i*(-i)

i^4 = -i^2

i^4 = -(-1)

i^4 = 1

----------------------------

Here's a summary so far

The pattern repeats every 4 items. This means we'll divide the exponent by 4 and look at the remainder.

20/4 = 5 remainder 0

Therefore i^20 = i^0 = 1

Or we can think of it like this

i^20 = (i^4)^5 = 1^5 = 1

----------------------------

This means we can then say

i^3 + i^20 = -i + 1 = 1 - i

Answer:

-1 or 7

Step-by-step explanation:

brainliest plss

Answer:

1.24

Step-by-step explanation:

i subtracted 1-1

Answer:

There is a 0.2 chance or 20% change that he will choose a nonfiction book. PLease mark as helpful if it is! thanks

Answer:Sabrina Finish 32 problems in the assignment

Step-by-step explanation:

40 * 8/10 = 32

The probabilities are

i. P(male) ≈ 0.503

ii. P(hybrid) ≈ 0.324

iii. P(hybrid|male) ≈ 0.208

iv. P(hybrid|female) ≈ 0.441

v. P(female|hybrid) ≈ 0.677

P(hybrid|male) and P(male|hybrid) are not equal because the sample may not be representative of the entire population.

What is probability?

Probability is a measure of the likelihood of an event occurring, expressed as a number between 0 and 1, with 0 indicating an impossible event and 1 indicating a certain event.

a.

i. P(male) = number of males in the sample / total number in the sample = 154 / 306 ≈ 0.503

ii. P(hybrid) = number of hybrid cars purchased / total number in the sample = 99 / 306 ≈ 0.324

iii. P(hybrid|male) = number of males who purchased a hybrid / total number of males in the sample = 32 / 154 ≈ 0.208

iv. P(hybrid|female) = number of females who purchased a hybrid / total number of females in the sample = 67 / 152 ≈ 0.441

v. P(female|hybrid) = number of females who purchased a hybrid / total number of people who purchased a hybrid = 67 / 99 ≈ 0.677

b.

i. P(male) represents the probability of randomly selecting a male from the sample of 306 people who purchased a Honda Civic.

ii. P(hybrid) represents the probability of randomly selecting a car from the sample that has a hybrid engine.

iii. P(hybrid|male) represents the probability of selecting a hybrid car given that the person selected is male.

iv. P(hybrid|female) represents the probability of selecting a hybrid car given that the person selected is female.

v. P(female|hybrid) represents the probability of selecting a female given that the car selected has a hybrid engine.

c. No, P(hybrid|male) and P(male|hybrid) are not equal. P(hybrid|male) represents the probability of selecting a hybrid car given that the person selected is male, while P(male|hybrid) represents the probability of selecting a male given that the car selected has a hybrid engine. These probabilities are different because the sample is not necessarily representative of the entire population.

Hence, the probabilities are

i. P(male) ≈ 0.503

ii. P(hybrid) ≈ 0.324

iii. P(hybrid|male) ≈ 0.208

iv. P(hybrid|female) ≈ 0.441

v. P(female|hybrid) ≈ 0.677

P(hybrid|male) and P(male|hybrid) are not equal because the sample may not be representative of the entire population.

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9514 1404 393

Answer:

  y = 6

Step-by-step explanation:

Let's call the marked angles A, B, C, clockwise from upper left.

Along the vertical transversal, we observe that A+90° and C are alternate exterior angles, so are congruent. This lets us find a value for x.

  A+90 = C

  4x +90 = 11x -8

  98 = 7x

  14 = x

Then angle A is ...

  A = 4x° = 4(14)° = 56°

__

Along the horizontal transversal, we observe that A and B are alternate exterior angles, so are congruent. This lets us find a value for y.

  A = B

  56° = (9y +2)°

  54 = 9y

  6 = y

The value of y is 6.

Answer:

x = 2

Step-by-step explanation:

The parallel lines divide the transversals in proportion, that is

\(\frac{x}{8}\) = \(\frac{9}{36}\) = \(\frac{1}{4}\) ( cross- multiply )

4x = 8 ( divide both sides by 4 )

x = 2

Answer:

27

reason:

did it recently

Answer:

7 days

Step-by-step explanation:

On the last day, the pet worm will climb 7 feet and reach the top without sliding back down, so the pet worm will be 30 feet high on that day.

Before that day, the worm climbs 7 feet and slides down 2 feet, meaning the worm rises 5 feet per day.

30 feet / (5 feet/day) = 6 days

It takes the worm 6 days to reach a height of 30 feet.  So on the 7th day, the worm gets to the top of the well.

Answer:

30

Step-by-step explanation:

the value of x, bring the variable to the left side and bring all the remaining values to the right side

Answer: The carbs in one glass of milk is 14 carbs and one snack bar is 10 carbs

Step-by-step explanation: Hope this helps!

Answer:

Step-by-step explanation:

78 and 10g

The first four terms of the geometric sequence with a first term of 3 and a common ratio of 2 are 3, 6, 12, and 24.

To find the first four terms of a geometric sequence with a first term (a1) of 3 and a common ratio (r) of 2, we can use the formula for the nth term of a geometric sequence:

\(an = a1 * r^(n-1)\)

Substituting the given values, we have:

a1 = 3

r = 2

Let's calculate the first four terms (n = 1, 2, 3, 4) using the formula:

\(a1 = 3 * 2^(1-1) = 3 * 2^0 = 3 * 1 = 3\\a2 = 3 * 2^(2-1) = 3 * 2^1 = 3 * 2 = 6\\a3 = 3 * 2^(3-1) = 3 * 2^2 = 3 * 4 = 12\\a4 = 3 * 2^(4-1) = 3 * 2^3 = 3 * 8 = 24\)

Therefore, the first four terms of the geometric sequence with a first term of 3 and a common ratio of 2 are 3, 6, 12, and 24.

In summary, the terms of the sequence are obtained by multiplying the first term (a1) by the common ratio (r) raised to the power of (n-1), where n represents the term number.

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Answer:

hey what don't u get? u didn't show the question

Answer:

10000

Step-by-step explanation:

4^2 (100) = 1600

so,

10^2 (100) gives us our answer of 10000

Answer:

4.8

Step-by-step explanation:

Firstly, you take the ratio 12d/30t(d=dollars, t=tokens). And you switch it to (unknown)d/30t. And if you execute the formula(12 * 12 / 30) you get 4.8.

hope i helped

The rate of change of the simple index over one day is approximately 12.78%.

To calculate the rate of change of the simple index over one day, we need to determine the percent change in the total value of the index between Monday's opening and Tuesday's opening.

On Monday, Stock A has 5000 shares at $2.75 per share, so its total value is:

Total value of Stock A on Monday = 5000 * $2.75 = $13,750

Similarly, on Monday, Stock B has 3000 shares at $4.30 per share, so its total value is:

Total value of Stock B on Monday = 3000 * $4.30 = $12,900

The total value of the index on Monday is the sum of the values of Stock A and Stock B:

Total value of the index on Monday = $13,750 + $12,900 = $26,650

On Tuesday, Stock A opens at $3.10 per share, and Stock B opens at $4.85 per share. Both stocks still have the same number of shares as on Monday.

The total value of Stock A on Tuesday is:

Total value of Stock A on Tuesday = 5000 * $3.10 = $15,500

The total value of Stock B on Tuesday is:

Total value of Stock B on Tuesday = 3000 * $4.85 = $14,550

The total value of the index on Tuesday is the sum of the values of Stock A and Stock B:

Total value of the index on Tuesday = $15,500 + $14,550 = $30,050

To calculate the percent change in the index, we use the formula:

Percent Change = ((New Value - Old Value) / Old Value) * 100

Percent Change = (($30,050 - $26,650) / $26,650) * 100 ≈ 12.78%

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Answer:

The answer is 80

Step-by-step explanation: You can trust me ok?:)

Answer:

The arrow should point at 0.5 which is half way between 0 and 1

Step-by-step explanation:

- + 1 = -3/4 + 5/4 = 2/4 = 1/2 and 1/5 in decimal form is 0.5

pls brainliest:)d

Answer:

3x + 1/2x

Step-by-step explanation:

Just replace "a number" with x

"Three times x added to half x"

The point where the two lines intersect is the solution to the system of linear equations, which is: A. (300, 108).

Given that:

y = total cost

x = miles

We are also given the system of linear equations that models the scenario given as:

y = 0.27x + 27 --> equation 1

y = 0.21x + 45 --> equation 2

To find the value of x, make both equations equal to each other and solve:

0.27x + 27 = 0.21x + 45

Combine like terms

0.27x - 0.21x = -27 + 45

0.06x = 18

Divide both sides by 0.06

0.06x/0.06 = 18/0.06

x = 300

To find the value of y, plug in the value of x into equation 1, and find y:

y = 0.27(300) + 27

y = 81 + 27

y = 108

Thus, the point where the two lines intersect is the solution to the system of linear equations, which is: A. (300, 108).

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The value of a, b and c are found as 6, 10 and 2 respectively.

Values for exponents, commonly referred to as powers, indicate how many often to multiply a quantity by itself.

The given expression is;

\(4x^{8} y^{c} = \frac{24x^{b}y^{-3} }{ax^{2} y^{-5} }\)

Solving expression using the law of indices.

\(x^{8} y^{c} = \frac{6x^{b-2}y^{-3+5} }{a}\)

\(ax^{8} y^{c} = {6x^{b-2}y^{2} }\)

Comparing powers of both sides:

a = 6

8 = b-2 : b = 10

c = 2

Thus, the value of  a, b and c are found as 6, 10 and 2 respectively.

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Answer:

Abby's mother spent $9.75 for the classroom not including tax.

Step-by-step explanation:

Know:

5 bags for 1 dollar

10 candy bars for 50 cents

3 whistles for 75 cents

5×6=30

10×3=30

3×10=30

Answer:

x^2

Step-by-step explanation:

1^2=1

2^2=4

3^2=9

Using the data from step ap-1, we find that the index of refraction of lucite is about 1.521.

The index of refraction of lucite is a measure of how much light bends when it passes through lucite, compared to how much it bends when it passes through a vacuum. The index of refraction of lucite is given by the formula:

index of refraction = speed of light in vacuum/speed of light in lucite

According to various sources, the index of refraction of lucite is about 1.49, meaning that light travels about 1.49 times faster in a vacuum than in lucite.

To find the index of refraction of lucite using the data obtained in step ap-1, we need to use Snell's law, which relates the angles and indices of refraction of two media. Snell's law can be written as:

n1 sin θ1 = n2 sin θ2

where n1 and n2 are the indices of refraction of the two media, and θ1 and θ2 are the angles of incidence and refraction, respectively.

In step ap-1, we measured the angle of incidence and refraction for a ray of light passing from air into lucite. We can assume that the index of refraction of air is about 1.00 since it is very close to that of a vacuum. Therefore, we can plug in the values from step ap-1 into Snell's law and solve for n2, which is the index of refraction of lucite. Here are the steps:

n1 sin θ1 = n2 sin θ2

(1.00) sin (40°) = n2 sin (25°)

n2 = (sin (40°)) / (sin (25°))

n2 = 0.6428 / 0.4226

n2 = 1.521

To draw sketches to show the exact locations of the angles that we used, we can use a diagram like this:

The angle of incidence θ1 is measured between the ray and the normal (the dashed line perpendicular to the surface) on the air side. The angle of refraction θ2 is measured between the ray and the normal on the lucite side. The index of refraction n1 is for air and n2 is for lucite.

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