(7*10^5)*(3*10^2) answer in standard form

The expression for the probability density function of the Weibull distribution will be: f(x) = k * x^(k-1) * e^(-x^k)

The expression for the probability density function (pdf) of a Weibull distribution is given by:

f(x) = k * x^(k-1) * e^(-x^k)

where:

x is the random variable

k is the shape parameter, which determines the shape of the distribution

e is the base of the natural logarithm

The shape parameter can take on any positive value, and the distribution is typically characterized by a shape that is either increasing or decreasing, depending on the value of k.

If the value of the k is less than 1, the distribution has a decreasing hazard rate, indicating that the failure rate decreases over time.

If the value of the k is greater than 1, the distribution has an increasing hazard rate, indicating that the failure rate increases over time.

For more questions on probability density function

https://brainly.com/question/15714810

#SPJ4

The equation of a straight line passing through the given point and slope is y - y1 = m(x - x1).

What is the simple definition of slope?

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

Let the given point be (x1,y1).

slope be m.

we know that,

Line equation passing through point is:

y - y1 = m(x - x1)

where m = slope and (x1,y1) = given point.

Therefore The equation of a straight line passing through the given point and slope is  y - y1 = m(x - x1).

Learn more about the equation here:

brainly.com/question/10724260

#SPJ4

Answer:

\(60st \\ = (60 \times 5 \times - 3.7) \\ = - 1110\)

Answer:

-1110

Step-by-step explanation:

given:

s = 5

t = -3.7

to find

60st

=60*s*t

=60*5*(-3.7)

=300*-3.7

=-1110

Answer:

\(Area =( 4 \times 3) + ( \frac{1}{4} \pi \times 2^2) \\\\\) \(\ cm^2\)

Step-by-step explanation:

The figure is a combination of rectangle and a quarter of a circle.

Therefore,

                    Area = Area of rectangle x Area of quarter of the circle

                             \(= (Length \times breadth ) + ( \frac{1}{4} \pi r^2)\\\\=( 4 \times 3) + ( \frac{1}{4} \pi \times 2^2) \\\\\)

Bella took the sum of area of rectangle and area of entire circle.

That is why Bella is wrong.

\(~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] ~\dotfill\\\\ \left( \cfrac{1}{3^2} \right)^{-1}\implies \left( \cfrac{3^2}{1} \right)^{+1}\implies 3^2\implies 9\)

The final cost of the item after a 35% discount and 9.8% sales tax is $53.54.

The given problem is related to percentage discounts and sales tax and can be solved using the following steps:

Step 1: Firstly, we need to determine the discount amount, which is 35% of the original price. Let's calculate it. Discount = 35% of the original price = 0.35 x $75 = $26.25

Step 2: Now, we will calculate the new price after the discount by subtracting the discount amount from the original price.New Price = Original Price - Discount AmountNew Price = $75 - $26.25 = $48.75

Step 3: Next, we need to calculate the amount of sales tax. Sales Tax = 9.8% of New Price Sales Tax = 0.098 x $48.75 = $4.79

Step 4: Finally, we will calculate the final cost of the item by adding the new price and the sales tax.

Final Cost = New Price + Sales Tax Final Cost = $48.75 + $4.79 = $53.54

Therefore, the final cost of the item after a 35% discount and 9.8% sales tax is $53.54.I hope this helps!

For more such questions on final cost

https://brainly.com/question/29509552

#SPJ8

Answer:

(9-7)

Step-by-step explanation:

1st

Vertex

we have

f(x)=x²-18x+88

let

y=x²-18x+88

comparing above equation with ax²+bx+c

we get

a=1

b=-18

c=88

now

vertex(x,y)=(-b/2a,f(-b/2a))

x=(18/2×1)=9

y=f(9)=9²-18×9+88=7

SO

VERTEX(X,Y)=(9,7)

If Alice has $50 and spends 4/5 of her money, she spends $40.

A fraction is a mathematical expression that represents a part of a whole or a ratio between two quantities. Fractions are commonly represented using two numbers separated by a horizontal line, where the top number is called the numerator and the bottom number is called the denominator.

Alice spends 4/5 of her money, which is equivalent to 0.8 of her money.

To find out how much Alice spends, we can multiply her total money ($50) by 0.8

= $50 x 0.8

Multiply the numbers

= $40

Therefore, Alice spends $40.

Learn more about fraction here

brainly.com/question/8482939

#SPJ4

I have solved the question in general, as the given question is incomplete.

The complete question is:

Alice has $50 and spends 4/5 of her money. How much does Alice spend?

Answer:

Let P(t) = population t years after 2010

           = 45230e0.02t

Population in 2030 = P(20)

                           = 45230e0.4≈ 6747

Answer:

{u,v} = {4,1}

Step-by-step explanation:

Answer:

x² + 34x + 104 = 0

x² + 34x = -104

x² + 34x + ((1/2)(34))² = -104 + ((1/2)(34))²

x² + 34x + 17² = -104 + 17²

x² + 34x + 289 = 185

(x + 17)² = 185

x + 17 = +√185

x = -17 + √185

The table shows the estimated digit and significant figures of each measurement and their representation with x.

Number of Measurement Estimated Digit Significant Figures

14.8 m 3 ✓

$10.25 - ✓

0.05 L - ✓

1.000 g/mL - ✓

1.200 - ✓

6200 cm - ✓

403 kg - ✓

For each measurement, the estimated digit is replaced with an x to represent the number with the correct number of significant figures. The correct representations for each measurement are:

Note that in some cases, the representation requires adding zeros to the right of the decimal point to indicate the number of significant figures. In other cases, the representation requires rounding up or down to the correct number of significant figures.

Learn more about decimal :

https://brainly.com/question/29765582

#SPJ4

Answer:

A. W+ 12 = 6 + W + 6

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer: 1/12 is the answer

Step-by-step explanation: 3 , 4

1 of those colors so , 1/3 x 1/4 = 1/12!!

i hope that helps <3

Answer:

Step-by-step explanation:

x=11

Downsizing refers to the process of reducing the size and workforce of a company to cut costs, increase efficiency, or adapt to changing market conditions. It involves eliminating positions, reducing staff numbers, or even closing down certain business units or branches.

Downsizing can occur for various reasons, such as financial difficulties, mergers and acquisitions, technological advancements, or strategic reorganization. Companies often assess their operational costs and decide to downsize to improve their financial performance.

During the downsizing process, companies may calculate the potential cost savings by considering factors such as salaries, benefits, severance packages, and operational expenses. For example, if a company decides to eliminate 100 positions with an average salary of $50,000 per year, it could result in annual savings of $5 million.

While downsizing can help companies achieve short-term cost reductions, it often has significant implications for the affected employees, including layoffs, reduced morale, and increased workload for remaining staff. It is crucial for organizations to handle the downsizing process with sensitivity and transparency, providing support to affected employees and communicating the rationale behind the decisions.

It is important to note that downsizing should not be seen as a long-term solution, but rather as a strategic measure to address specific challenges. Companies should also explore alternatives to downsizing, such as retraining and redeploying employees, implementing productivity improvements, or seeking new business opportunities, to ensure sustainable growth and success in the long run.

To know more about workforce, visit;
https://brainly.com/question/28843491
#SPJ11

The required answer is the approximately 5.98 feet.

The area of a circular trampoline is given as 112.07 square feet.

To find the radius of the trampoline,

area of a circle:

A = πr^2

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

To find the radius,

r = √(A/π)

Substituting the given area, we have:

r = √(112.07/π)

Now,  calculate the value of the radius using a calculator or estimation. the value of π to be approximately 3.14:

r = √(112.07/3.14)
r ≈ √(35.70675)
r ≈ 5.98

Therefore, the radius of the circular trampoline is approximately 5.98 feet.

To know about area of a circle. To click the link.

https://brainly.com/question/11952845.

#SPJ11

express in coordinate pairs: (x,y)

h(3) = - 4 ⇒ 3,-4

h( - 2) = 16 ⇒ -2, 16

\(\tt slope=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{16-(-4)}{-2-3}=\dfrac{20}{-5}=-4\)

equation:

\(\tt y-y_1=m(x-x_1)\rightarrow m=slope\\\\y+4=-4(x-3)\\\\y=-4x+8\)

for h(2):

\(\tt y=-4(2)+8=0\)

h(2) = 0

Ms. Turner's net worth can be calculated by adding up all of her assets (car, cash, investments, furniture & appliances) and then subtracting all of her liabilities (auto loan, student loans, personal loan, credit card debt).

Net worth = (Car + Cash + Investments + Furniture & Appliances) - (Auto Loan + Student Loans + Personal Loan + Credit Card Debt)
Net worth = ($13,950 + $4,700 + $15,750 + $7,250) - ($6,200 + $17,450 + $1,200 + $180)
Net worth = $41,650 - $25,030
Net worth = $16,620
Therefore, the answer is B) $16,620.
Based on the information provided in the statement, we can calculate Ms. Turner's net worth by adding her assets and subtracting her liabilities.
Net Worth = (Car value + Cash + Furniture & Appliances + Investments) - (Auto Loan + Student Loans + Personal Loan + Credit Card Debt)
Net Worth = ($13,950 + $4,700 + $7,250 + $15,750) - ($6,200 + $17,450 + $1,200 + $180)
Net Worth = $41,650 - $25,030
Net Worth = $16,620
So, Ms. Turner's net worth is B) $16,620.

To know more about net worth visit:-

https://brainly.com/question/12294231

#SPJ11

Answer:

see explanation

Step-by-step explanation:

Using rule of exponents

\(\frac{a^{m} }{a^{n} } \) = \(a^{(m-n)} \) , then

\(\frac{x^{10} }{x^{3} } \) = \(x^{(10-3)} \) = \(x^{7} \)

x=8

i added a screenshot to show the work

Answer:

Step-by-step explanation:

Question:

7^1/5

The number given has an exponent of a fraction: fraction exponent = 1/5

Since the top is one, the number 7 stays the same. = 7^1 = 7

The bottom is a 5. This means it is to the fifth root.

Answer = D

Hope this helped,

Kavitha

Answer: If 36/7 is one of the options, choose that one.

If the question involves an exponent, you should use the "caret" which is ^ found above the 6 on a keyboard. [Shift + 6]. That helps avoid confusion.

Step-by-step explanation: 7 is equal to 35/5 because 7×5=35

Add 1/5 and you end up with 36/5. A Common rational number.

7^(1/5) = the 5th root of 7. A very small irrational number!

The product of 300 multiplied by 10 to the power of 2 is 3 multiplied by 10 to the power of 4.

To calculate the product and express it in appropriate scientific notation with the correct number of significant figures, we follow these steps:

1. Multiply the given numbers:

  Example: 300 * 10^2

2. Calculate the product:

  300 * 10^2 = 30,000

3. Express the answer in scientific notation:

  30,000 can be written as 3 * 10^4.

Therefore, the product of 300 * 10^2 is 3 * 10^4.

When multiplying numbers in scientific notation, we multiply the coefficients (the numbers before the powers of 10) and add the exponents. In this case, 300 * 10^2 is equal to 30,000, which can be expressed as 3 * 10^4 in scientific notation.

To know more about scientific notation, refer here:

https://brainly.com/question/16936662#

#SPJ11

Ans .: The dimensions of the container that will minimize the cost are a base with sides of length 16.7 cm and a height of 8.35 cm.

To minimize the cost of the container, we need to find the dimensions that will use the least amount of material. Let's call the length of one side of the square base "x" and the height of the container "h".

The volume of the container is given as 2000 cm^3, so we can write:

V = x^2h = 2000

We need to find the dimensions that will minimize the cost, which is determined by the amount of material used. We know that it costs twice as much per square centimeter to make the top and bottom as it does the sides.

Let's call the cost per square centimeter of the sides "c", so the cost per square centimeter of the top and bottom is "2c". The total cost of the container can then be expressed as:

Cost = 2c(x^2) + 4(2c)(xh)

The first term represents the cost of the top and bottom, which is twice as much as the cost of the sides. The second term represents the cost of the four sides.

To minimize the cost, we can take the derivative of the cost function with respect to "x" and set it equal to zero:

dCost/dx = 4cx + 8ch = 0

Solving for "h", we get:

h = -0.5x

Substituting this into the volume equation, we get:

x^2(-0.5x) = 2000

Simplifying, we get:

x^3 = -4000

Taking the cube root of both sides, we get:

x = -16.7

Since we can't have a negative length, we take the absolute value of x and get:

x = 16.7 cm

Substituting this into the equation for "h", we get:

h = -0.5(16.7) = -8.35

Again, we can't have a negative height, so we take the absolute value of "h" and get:

h = 8.35 cm

Therefore, the dimensions of the container that will minimize the cost are a base with sides of length 16.7 cm and a height of 8.35 cm.

Learn more about :

volume : brainly.com/question/28058531

#SPJ11

The forecast for May using a five-month moving average is 39 (Option E).

Moving average is used for smoothing out time series data to find any trends or cycles within the data. A five-month moving average is the average of the past five months. To calculate the moving average, add up the sales for the previous five months and divide it by five.

According to the question, the sales for the previous five months are: Nov. 39 Dec. 27 Jan. 40 Feb. 42 Mar. 41 April 47

We have to add the sales of these five months, which gives:

27 + 40 + 42 + 41 + 47 = 197

To find the moving average for May, we divide this sum by 5:

197 / 5 = 39.4

Since we have to round the answer to the nearest whole number, we round 39.4 to 39, which is option E.

Learn more about Moving average here: https://brainly.com/question/28495879

#SPJ11

The value that is closest to the probability that Chris's guess ends up being exactly 4 less than the result is 1/3 .

Probability theory, which is widely used in domains such as statistics, mathematics, science, money, gambling, cognitive computing, pattern recognition, machine learning, game theory, and philosophy, has formalized these concepts mathematically.

Dice is fair.

Sample space ={1,2,3,4,5,6} = 6

Two dice are rolled

Sample space =  6² = 36

Probability theory is also used to understand the intrinsic mechanics and generalizations of complex systems. Like other theories, the theory of probability is a formal representation of its concepts—that is, terms that can be investigated independently of their meaning.

therefore the required probability is given by=

P(X)=12/36 = 1/ 3

To manage these formal notions, the laws of mathematics and logic are utilized, and any conclusions are evaluated or till around into the problem area and favorable outcome .

Hence the value that is closest to the probability that Chris's guess ends up being exactly 4 less than the result is 1/3 .

to learn more about probability visit:

https://brainly.com/question/11234923

#SPJ4

The percent decrease in Val's fund from last quarter to this quarter is 14.4%

To calculate the percent decrease in Val's mutual fund from last quarter to this quarter, we can use the following formula:

Percent Decrease = (Change in Value / Initial Value) * 100

Given that last quarter her fund was worth $37,500 and this quarter it is worth $32,100, we can calculate the change in value:

Change in Value = Initial Value - Final Value

= $37,500 - $32,100

= $5,400

Now we can plug these values into the formula for percent decrease:

Percent Decrease = (5,400 / 37,500) * 100

= 0.144 * 100

= 14.4%

Therefore, the percent decrease in Val's fund from last quarter to this quarter is 14.4%.

This means that the value of Val's mutual fund decreased by 14.4% over the given time period. It is important to note that this calculation assumes a simple percentage decrease based on the initial and final values and does not take into account any additional factors such as fees or dividends.

Learn more about: percent decrease

https://brainly.com/question/2913116

#SPJ11