how do i show the work

How Do I Show The Work

Answers

Answer 1

Answer:

x = 30

Step-by-step explanation:

How Do I Show The Work

Related Questions

A 625.00 item is down by 92%

What is the cost of the item?

Answers

Given the problem:
A 625 item is down by 92%. What is the cost of the item?

So first step, you have to find what is 92% of 625. To do that, you will have to multiply 625 by 92%, or 0.92. Because to convert percentage to decimal, simply divide by 100 or move the percent sign two places to the left and change it to a decimal point. And Vice versa for the decimal to percentage.
(625)(0.92)=575
92% of 625 is 575
Now think of it this way, you’re buying a jacket that’s $625. You’re getting a 92% discount. How much money did you save? $575. How much money do you have to pay after the discount? All you have to do is take the original price and subtract it by the total amount saved. So $625-$575=$50. You only have to pay $50 after discount.
The answer is 50.
Hope this helped!

number multiplied by 5, subtracted from the sum of 13 and six times the number

Answers

The solution to the algebraic word problem is; x + 13

How to solve algebra word problems?

Algebraic word problems are defined as the questions that require translation of sentences to equations and then solving those equations.

Now, we are given the word problem as number multiplied by 5, subtracted from the sum of 13 and six times the number.

Let the unknown number be x and as such, we have;

number multiplied by 5 = 5x

sum of 13 and six times the number = 6x + 13

Thus, we have;

6x + 13 - 5x

= x + 13

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Currently, the temperature of a bowl of ramen is 57°C above room temperature. The temperature of the ramen decreases based on the function f(t) = 57(0.89)t where t represents time elapsed in minutes. Where does the graph of f(t) cross the y-axis, and what does this represent in the context of the problem?

a
f(57) = 0; the time it takes for the above-room temperature to reach 0°C

b
f(0) = 57; the time it takes for the above-room temperature to reach 0°C

c
f(57) = 0; the above-room temperature of the ramen at time t = 0

d
f(0) = 57; the above-room temperature of the ramen at time t = 0

Answers

In the exponential function given, the answer is option d. f(0) = 57; the above-room temperature of the ramen at time t = 0

What is Exponential Function

An exponential function is a type of mathematical function that has the form f(x) = ab^x, where a and b are constants, and x is the independent variable. The variable x is usually the time, and the variable y is usually a value that changes over time.

The y-axis in the graph of f(t) represents the temperature of the ramen above room temperature. The x-axis represents the time elapsed in minutes.

The function f(t) = 57(0.89)^t represents the temperature of the ramen above room temperature as a function of time. The graph of this function will cross the y-axis at the point (0,57), which represents the temperature of the ramen at time t = 0.

Plugging t = 0 into the function f(t) = 57(0.89)^t we get f(0) = 57(0.89)^0 = 57 which represents the above-room temperature of the ramen at time t = 0.

1)

Option a f(57) = 0 is not correct because the temperature of the ramen is not zero at time t = 57, it's decreasing over time.

2)

Option b f(0) = 57 is the correct answer, it represents the above-room temperature of the ramen at time t = 0.

3)

Option c f(57) = 0 is not correct because it represents the above-room temperature of the ramen at time t = 57 which would be 0, however, it's not possible for the temperature to reach 0°C above room temperature, it will only get closer to it as time goes on.

4)

Option d f(0) = 57 is the correct answer, it represents the above-room temperature of the ramen at time t = 0.

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Problem 4.9 Given the following year-end account balances for Boston's Johnson Hotel, prepare: a an income statement for the period ending 30/6/20X1, b a balance sheet as at 30/6/20X1. Johnson Hotel Account Balances as at 30th June 20X1 Cash at bank Dividends paid Accounts receivable Closing inventory Depreciation expense Plant and machinery Accumulated depreciation Johnson Hotel Account Balances as at 30th June 20X1 Sales revenue Cost of sales Wage expense General operating expenses Accrued wages Accounts payable Unearned revenue Share capital Retained profits Debit 2,200 2,000 1,500 400 250 11,000 Debit 16,000 4,500 140 $37,990 Credit 1,020 Credit 26,500 100 2,200 200 4,800 3,170 $37,990​

Answers

The preparation of an income statement and a balance sheet for the period ending June 30, 20X1 are as follows:

Johnson Hotel

Income Statement

For the period ending June 30, 20X1

Sales revenue                                     $26,500

Cost of sales                                          16,000

Gross profit                                          $10,500

Wage expense                        4,500  

General operating expenses     140

Depreciation expense              250     $4,890

Net income                                            $5,610

Johnson Hotel

Balance Sheet

For the period ending June 30, 20X1

Current Assets:

Cash at bank                           $2,200

Accounts receivable                  1,500  

Closing inventory                         400   $4,100

Long-term Assets:

Plant and machinery                11,000

Accumulated depreciation      (1,020) $9,980

Total assets                                         $14,080

Liabilities and Equity:

Current Liabilities:

Accrued wages                       $100

Accounts payable                 2,200

Unearned revenue                  200    $2,500

Equity:

Share capital                     $4,800

Retained profits                  6,780     $11,580

Total liabilities and equity               $14,080

Income Statement and Balance Sheet:

These two financial statements are prepared from the list of account balances (Trial Balance) at the end of the accounting period.

The income statement show the net income or loss, which is the difference between revenue and expenses.

The balance sheet summarizes the assets, liabilities, and equity of the entity at a point in time.

Johnson Hotel

Account Balances as at 30th June 20X1

                                                  Debit       Credit

Cash at bank                           $2,200

Dividends paid                          2,000

Accounts receivable                  1,500  

Closing inventory                         400

Depreciation expense                 250

Plant and machinery                11,000

Accumulated depreciation                      $1,020

Sales revenue                                         26,500

Cost of sales                          16,000

Wage expense                        4,500  

General operating expenses     140

Accrued wages                                            100

Accounts payable                                    2,200

Unearned revenue                                     200

Share capital                                            4,800

Retained profits                                        3,170

                                         $37,990     $37,990​

Retained Earnings:

Beginning balance $3,170

Net income               5,610

Dividends               (2,000)

Ending balance     $6,780

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A recipe calls for 5 ounces of unsweetened chocolate for 14 brownies. How much of unsweetened
chocolate is needed to make 30 brownies?
150 oz
7/5 oz
75/7 oz
5/14 oz

Answers

Answer is 75/7 Oz

Step by step

First we find the rate of of ounces per brownie 5:14 by dividing 5 divided by 14.

= .357

Multiply by new quantity of 30 brownies

30 x .357 = 10.71

We don’t see that answer in the choices so let’s put 10.7 into fraction form

75/7 is ≈ 10.7

So 75/7 is your answer

What is the slope-intercept equation for the following line

Answers

Answer:

Y=-1x+4

Step-by-step explanation:

Well we know slope-int, form is as follows

Y= Mx + B

Our B is our Y-int in this case where the axis intercepts the y-axis,

So if we go to the Left 1 time we will get -1 which can be suited for our missing symbol

Y = -1x + _

To find our B in this case our Y-int, We can see at 4y the axis intercepts the Y-axis which will leave us to our Y-int of 4

So our final answer is

Y = -1x + 4

Glad to help!

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A value 4 times a smaller number is 1 less than a larger number . Their difference is 58.
Find the numbers.
Smaller:
Larger:

Answers

Since a value 4 times a smaller number is 1 less than a larger number and their difference is 58, the numbers are as follows;

Smaller number = 19.

Larger number = 77.

How to determine the unknown number?

In order to solve this word problem, we would assign a variable to the unknown number, and then translate the word problem into algebraic equation as follows:

Let the variable x represent the smaller number. Let the variable y represent the larger number.

Therefore, translating the word problem into an algebraic equation, we have the following;

4 times a smaller number is 1 less than a larger number ⇒ 4x = y - 1.....equation 1.

Their difference is 58 ⇒ y - x = 58   .....equation 2.

Substituting equation 1 into equation 2, we have the following;

4x + 1 - x = 58

3x + 1 = 58

3x = 58 - 1

3x = 57

x = 57/3

Smaller number, x = 19

For the larger number, we have;

y = 4x + 1

y = 4(19) + 1

y = 77

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FInd all second order partial derivatives: f(u,v) = ln(u^2 + v^2)

Answers

The second order partial derivatives of f(u,v) = ln(u^2 + v^2) are as follows:

fuu(u,v) = d^2/du^2 (ln(u^2 + v^2)) = -2u / (u^2 + v^2)

fuv(u,v) = d^2/du/dv (ln(u^2 + v^2)) = 0

fvv(u,v) = d^2/dv^2 (ln(u^2 + v^2)) = -2v / (u^2 + v^2)

So, the second partial derivatives of f(u,v) = ln(u^2 + v^2) are fuu(u,v) = -2u / (u^2 + v^2), fuv(u,v) = 0, and fvv(u,v) = -2v / (u^2 + v^2).

give me the percent of the table

Answers

Here is the completed table:

Total relative frequency

Pets         Men     Women   Total

Dogs         20%     30%       50%

Cats           13.8%    20.8%     34.6%

Birds           6.2%    9.2%     15.4%

Total             40%     60%     100%

What are the relative frequencies?

Percentage is the ratio of an amount out of a total amount. The sign that represents percentage is %. In order to convert a value to a percentage, multiply the value by 100.

Relative frequency measures how often a value appears relative to the sum of the total values.

Relative frequency of men that have dogs = (26/130) x 100 = 20%

Relative frequency of women that have dogs = (39/130) x 100 = 30%

Relative frequency of those that have dogs = 20% + 30% = 50%

Relative frequency of men that have cats = (18/130) x 100 = 13.8%

Relative frequency of women that have cats = (27/130) x 100 = 20.8%

Relative frequency of those that have cats = (45/130) x 100 = 34.6%

Relative frequency of men that have birds = (8/130) x 100 = 6.2%

Relative frequency of women that have birds = (12/130) x 100 = 9.2%

Relative frequency of those that have birds = 6.2% + 9.2% = 15.4%

Relative frequency of males = (52/130) x 100 = 40%

Relative frequency of females = (78/130) x 100 = 60%

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The human resources department interviewed four applicants today and will interview three applicants tomorrow for the same position.
Therefore, a total of seven people applied for the job.

What is the assumption of the argument?
1. The human resources department is interviewing everyone who applied for the job.
2.The human resources department can only interview seven o per open position.
3.The position will be filled by next week.
4.There was not a great deal of interest in the open job position,
5. The human resources department is only interviewing the most qualified candidates for the position.

Answers

The correct option 5. The human resources department is only interviewing the most qualified candidates for the position.

Explain the working of human resources department?

The department of a company tasked with discovering, selecting, hiring, and developing job applicants is known as human resources (HR).

HR is also in charge of managing employee benefits.A department of human resources also manages employee terminations and compensation and benefits.It must stay informed about any laws that might have an impact on the business and its staff.Traditional HR administrative tasks like payroll and benefits have often been outsourced by many businesses.

Key HR Activities:

Increasing the creativity, innovation, and adaptability required to boost competitivenessUtilizing innovative techniques to improve career development, succession planning, work process design, and inter-organizational mobilityUtilizing better staffing, training, and employee relations to manage the adoption and integration of technology.

Consequently, whereas if human resources division interviewed four candidates today and thus will interview three candidates tomorrow for the identical post.

Only the most competent applicants are being interviewed for the post by the human resources division.

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1/5 - 2y/15 =11 what numbers can be multiplied to clear the the fractions

Answers

To clear the fractions, multiply 1/5 by 3 to make 3/15.

Then, combine the two fractions since they have the same denominator to make 3-2y/15.

To rid of this final fraction, multiply both sides of the equation by 15 to make 3-2y=165

(165 is 11•15)

Consider an arithmetic sequence which has the second term equal to 8 and the fifth term equal to 10. Determine the common difference of this sequence.

Answers

You do know that to get to the fifth term from the second term you had to add the common difference 3 times. (adding ones takes you to the 3d term, adding twice takes you to the 4th term, and adding 3 times takes you to the 5th term.

What is arithmetic sequence?

An arithmetic sequence is a sequence where each term increases by adding/subtracting some constant k. This is in contrast to a geometric sequence where each term increases by dividing/multiplying some constant k. Example: a1 = 25. a(n) = a(n-1) + 5.

nth term=a+(n-1)d

Where a is the first term and d is the common difference.

Now,

2nd term=a+(2–1)d=a+ d——————(1)

5th term=a+(5–1)d=a+4d—————-(2)

Now, we take (2)-(1):

5th term-2nd term=(a+4d)-(a+ d)

5th term-2nd term=3d

So:

d=(5th term-2nd term)/3

Now as all the terms are known we can find out the common difference

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A ship sails from A to B on a bearing of 252°T. On what bearing will it have to sail to return from
B to A?

Answers

When a ship sails from A to B on a bearing of 252°T, the bearing in which it must sail to return from B to A is 432°.

what is order of rotation ?

The maximum number of rotations that a geometry may accommodate is the order of rotational symmetry. The degree of rotational symmetry is denoted as 360°A°, where A° is the lowest angle that may be used to rotate a figure from its rotated shape back to its original shape. (170 degrees) How many times a perfect circle may be rotated while still preserving its appearance is a measure of a shape's rotational symmetry. The appearance of a full 360° revolution will be the same only when a triangle is placed back in its initial starting position.

given

Use the fact that angles in a full turn add up to 360° to determine the bearing of A to B,

then subtract the bearing of B to A from 180° to determine the missing interior angle.

180° + 252°

= 432°

When a ship sails from A to B on a bearing of 252°T, the bearing in which it must sail to return from B to A is 432°.

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Which is the y-intercept of the line represented by the equation?

x−2y=5

Answers

To find the y-intercept of a line represented by an equation in slope-intercept form (y = mx + b), we need to find the value of b. The y-intercept is the point where the line crosses the y-axis, which means that the x-coordinate is 0.

In this case the equation is not in slope-intercept form, but we can still find the y-intercept by isolating y on one side of the equation.

x - 2y = 5

Add 2y to both sides of the equation:

x = 2y + 5

Divide both sides of the equation by 2:

y = (x + 5) / 2

The y-intercept is the point (0, b) where b is the constant in the equation. In this case, the y-intercept is (0, 5/2)

So the y-intercept of the line represented by the equation x−2y=5 is (0,5/2)

You deposit $120 in an investment account that earns 6.4% annual interest compounded quarterly.

Write a function that represents the balance y (in dollars) of the investment account after t years.

Answers

A function that represents the balance y (in dollars) of the investment account after t years is [tex]y = 120^{1.064\times{t/4}[/tex].

What is compound interest?

Borrowers are required to pay interest on interest in addition to principal since compound interest accrues and is added to the accrued interest from prior periods.

We know the formula for compound interest is,

A = P(1 + r/100)ⁿ.

Where, A = amount, P = principle, r = rate, and n = time in years.

Given, You deposit $120 in an investment account that earns 6.4% annual interest compounded quarterly.

We know the formula for compound interest compounded quarterly is,

A =  P(1 + (r/4)/100)⁴ⁿ.

The function can be represented as,

[tex]y = y_{0}^{1.064\times4t[/tex], As the decimal value of 6.5% is 0.064 and compounded quarterly.

[tex]y = 120^{1.064\times{t/4}[/tex].

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Which graph represents the polynomial equation y = x3 − 11x2 + 38x – 40?

Answers

The graph of the given polynomial equation y = x³ − 11x² + 38x – 40 is shown.

What is the equation?

The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

Here,
Given expression y = x³ − 11x² + 38x – 40 is a polynomial expression of degree 3. So the curve of function is a cubic curve as shown in the graph.
Where the vertical axis is the y-axis and the horizontal axis is the x-axis.

Thus, the graph of the given polynomial equation y = x³ − 11x² + 38x – 40 is shown.

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Given circles W and X below. Find the
area of the shaded region. Round your
answer to the nearest tenth if necessary.
Answer:
Submit Answer
5
X
units²
+
attempt 1 out of 2

Answers

Answer:

26 000000000065554443

QUESTION 1 1 POINT
Find the difference quotient
Provide your answer below:
f(a+h)-f(x)
h
f(x)=x²+x+2
Give a simplified expression involving and h, if necessary. For example, if you found that the difference quotient was
x+h, you would enter x + h.
Content attribution
for the function given below.
FEEDBACK

Answers

The difference quotient would be (f(a + h) - f(a))/h.

What is quotient?

Quotient is a mathematical concept which involves dividing one number (dividend) by another (divisor) to find the answer (quotient). It is used in a variety of everyday calculations, such as calculating discounts or figuring out how much of an item is left over after a certain amount has been used. It is also used for more complex calculations, such as determining the probability of something happening or calculating the percentage of a population that has a certain trait.

The difference quotient for the equation f(x) = x² + x + 2 is (x + h)² + (x + h) + 2 - (x² + x + 2) / h. Simplifying this expression yields 2xh + h² + h / h, which reduces to 2x + h + h²/h, or 2x + h.
The difference quotient is the mathematical expression used to calculate the rate of change of a function at a given point. It is calculated by taking the difference between two points on the function and dividing it by the difference in their x-values. For example, for the function f(x) = x² + x + 2, the difference quotient would be (f(a + h) - f(a))/h.

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When Audrey runs the 400 meter dash, her finishing times are normally
distributed with a mean of 68 seconds and a standard deviation of 3 seconds.
Using the empirical rule, determine the interval of times that represents the
middle 68% of her finishing times in the
400 meter race.

Answers

Using the empirical method, the range of times that equates to the centre 68% of Audrey's 400 metre finishing times is between 67.5 and 68.5 seconds.

How does empirical rule work?

The percentage all values that fall in just an interval containing 68%, 95%, and 99.7% of such values comes within one, two, or 3 different deviations of both the mean of a distribution, following the empirical rule, commonly known as the 68-95-99.7 rule.

The stated data:

Mean = 68Standard deviation = 3

According to the Empirical Rule, 68% of data collected from observations of a normal distribution are within one standard deviation of its mean.

The range of times that corresponds to the centre 68% of his 400-meter finishing times is as follows:

= P(68 - 0.5 < x < 68+ 0.5)

= P(67.5 < x < 68.5)

Accordingly, the range of times that, according to the empirical rule, reflects the centre 68% of Audrey's 400 metre finishing times is the one from 67.5 to 68.5 seconds.

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

Answers

Answer: x=1/3

Step-by-step explanation:

3-5x+20=16x-24

23-5x=16x-24

-23           -23

-5x=1

Answer:

X=1/3

Step-by-step explanation:

First, you have to distribute the number outside the brackets/parenthesis to the numbers inside

3-5x-20=16x-24

combine like terms, variables with variables, and numbers with numbers.

-17-5x=16x-24

Add 5x on both sides, and add 24

7=21x

divide by 21

x=1/3

can someone please explain how to do this? T-T
5y=5x-10 solve for y

Answers

Answer: y=x-2

Step-by-step explanation: Divide both sides by 5 to find y.

Answer:

y= x-2

Step-by-step explanation:

Divide 5y and 5x-10 by 5. That would be y=x-2 because 5y divided by 5 is just y. Then 5x-10 divided by 5 would just be x-2, so combined, it would be y=x-2.

A jar contains only​ pennies, nickels,​ dimes, and quarters. There are 11 ​pennies, 16 ​dimes, and 25 quarters. The rest of the coins are nickels. There are 74 coins in all. How many of the coins are not​ nickels? If n represents the number of nickels in the​ jar, what equation could you use to find​ n?
:D

Answers

Answer: 52

Step-by-step explanation:

Add 11, 16, and 25 together to get 52.

52 of the coins are not nickels.

If you answer ring I will report you !!!!!!!!

Answers

y' is negetive in the interval -3 < x < -1 so the function y = 2x² - 4 is decresing

y' is positive in the interval 0 < x < 2 so the function y = 2x² - 4 is incresing.

The equation that is represented is a non linear parabolic fuction.

What is Maxima and Minima ?

The highest and smallest value of a function, either within a certain range or throughout the whole domain, are its maxima and minima, generally referred to as extrema.

The curve of a function has peaks and troughs called maxima and minima. A function may have any number of peaks and minima. Calculus allows us to determine any function's maximum and lowest values without ever consulting the function's graph. Maxima will be the curve's highest point within the specified range, while minima will be its lowest.

A function with the formula f(x) = ax² + bx + c is called a parabolic function. It is a second-degree quadratic expression in x. The graph of the parabolic function resembles that of a parabola, therefore the function's name. The range value for the parabolic function is the same for two distinct domain values.

the function is

y = 2x² - 4

differentiating both side with respect to x we get ,

y' = 4x

so , for x = 0 the function has maxima or minima.

for x <0

considering x = -3

y' = 4(-3) = -12

and at x = -1

y' = 4*(-1)=  - 4

y' is negetive in the interval -3 < x < -1 so the function y = 2x² - 4 is decresing

Again when x = 0

y' = 0 and

when x = 2

y' = 8

y' is positive in the interval 0 < x < 2 so the function y = 2x² - 4 is incresing.

The equation that is represented is a non linear parabolic fuction.

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If h(x)=x 2−3x+5, find h(5)

Answers

The value of the function at x = 5 is 15.

What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is the function as -

h(x) = x² - 3x + 5

We can write for {h} = 5 as -

h(5) = (5)² - 3(5) + 5

h(5) = 25 - 15 + 5

h(5) = 25 - 10

h(5) = 15

Therefore, the value of the function at x = 5 is 15.

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A homeowners association needs to charge each homeowner a supplemental assessment to help pay for unexpected repairs. The association has 2000 in its reserve fund that it will use to help pay for the repairs. How much must the association charge each of the 50 homeowners if the total cost for the repairs is $13,350?

Answers

Each homeowner was charged $231 to help pay for the repairs

What is an equation?

An equation is an expression showing the relationship between two or more numbers and variables. An equation can either be linear, quadratic, cubic and so on depending on the degree.

Let x represent the amount of money that each house owner is charged. There are 50 homeowners.

Amount of money the homeowners is charged = 50 * x = 50x

The association has $2000 in its reserve and the total cost of repairs is $13350. Hence:

50x + 2000 = 13550

50x = 11550

x = 231

The homeowners was charged $231

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Suppose we have data that suggest that 3% of a company's hard disc drives are defective. You have been asked to determine the probability that the first defective hard drive is the fifth unit tested.​

Answers

The probability that the first defective hard drive is the fifth unit tested is 0.03.

What is the probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 indicates that an event is impossible, and 1 indicates that an event is certain. A probability of 0.5, for example, means that there is an equal chance of an event happening or not happening. Probabilities can also be expressed as percentages or as decimals.

What is another word for a faulty hard drive?

P(X=k)=q^ K−1P=(1−p) ^K−1 P

Evaluate at k=5k=5:

P(X=5)=(1-0.03)^{5-1}0.03\approx 0.02656

P(X=5)=(1−0.03)^5−1 ≈ 0.03

Hence, the probability that the first defective hard drive is the fifth unit tested is 0.03.

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The probability that the first defective hard drive is the fifth unit tested is 0.03.

What is the probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 indicates that an event is impossible, and 1 indicates that an event is certain. A probability of 0.5, for example, means that there is an equal chance of an event happening or not happening. Probabilities can also be expressed as percentages or as decimals.

What is another word for a faulty hard drive?

[tex]P(X=k)=q^K−1P=(1−p)^K−1 P[/tex]

Evaluate at k=5k=5:

P(X=5)=[tex](1-0.03)^{5-1}0.03\approx 0.02656[/tex]

P(X=5)=(1−0.03)⁵⁻¹≈ 0.03

Hence, the probability that the first defective hard drive is the fifth unit tested is 0.03.

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how would I write an equation?
and what would my x and y represent?

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In algebra, an equation is a statement of mathematics that establishes the equality of two mathematical expressions.

How do you write an equation?In algebra, an equation is a statement of mathematics that establishes the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated by the symbol "equal."Abscissa is a term used to describe the x value of the point (x, y).In terms of the horizontal x-axis or from the origin, it shows how far away the point is.The term "ordinate" refers to the point's y value at (x, y). It shows how far a point is from the x-axis or the origin in either the vertical or perpendicular direction.

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3 1/3(1+2x)=5 1/2(2x-1)

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hi there! if you are solving for x  the answer to 3 1/3(1+2x)=5 1/2(2x-1) is 215/182  

The graph of F(x), shown below, resembles the graph of G(x) = x², but it has been changed somewhat. Which of the following could be the equation of F(x)?

Answers

The equation of f(x) is derived from the transformation depicted in the graph, the equation is

D. 2(x - 2)² + 2.

What is transformation?

Transformations are a general term for four different methods of changing the location and/or shape of a point, line, or geometric figure.

Reflection, rotation, translation, and dilation are among the methods used.

The altered object's final shape and location are referred to as the Image, whereas the original shape of the object is known as the Pre-Image.

The transformation is as follows:

(x - 2)²: translation 2 units right

(x - 2)² + 2: translation up  2 units

2(x - 2)² + 2: 2 units of vertical stretch

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a) Show that the equation x³ + 3x - 1 = 0 3 has a solution between x = 0 and x = = 1. b) The iterative formula below will give an approximate solution to the equation x³ + 3x - 1 = 0. 3 3 Xn+1 = (1-x²³2) Work out an approximate solution to the equation, starting with x₁ = 0. Give your answer to 2 d.p.​

Answers

The iterative formula, which is a rough solution to the equation x3 + 3x - 1 = 0, is 2 cos 280°.

what is equation ?

The numeral is said to be in its simplistic form when decreased into its smallest commensurate fraction. What you must do to find the most basic form. Look for related factors in the denominators and numerators. Verify a fractional integer to verify if this one qualifies as a prime number. A statement having two rotational symmetry and an equality sign in the middle is called an equilibrium in mathematics. The conceptual model of any equation contains unique degrees of all the components in descending order. The conventional version of a linear equation is an x + b = 0. The general form of a linear equation with two variables is an x + b y + c = 0. (or something similar). Equations can be categorized as identities or conditional equations. An identity holds true regardless of the value given to the variables.

given

a) x³ + 3x - 1 = 3

= x3 + 3x - 1

Xn+1 = (1-x²³2)

= u = cos[(2×360° + 120°)/3] I sin[(2×360° + 120°)/3]

I sin 280° plus cos 280°

I = 280° - cos 280°

x = u + v

= 2 cos 280°

The iterative formula, which is a rough solution to the equation x3 + 3x - 1 = 0, is 2 cos 280°.

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