\(if i have 12 yards of ribbon and they use 22 feet of ribbon to decorate the blanket then how many feet\)

Answer:

The  value is  \(P(X \ge 15) = 0.5\)

Step-by-step explanation:

From the question we are told that

    The probability of the device failing during the warranty period is \(p = 0.005\)

    The  sample size is  \(n = 3000\)

     The random variable  considered is  x  =  15

Generally this is distribution is binomial given the fact that there is only two out comes hence

      X  which is a variable representing a randomly selected selected electronic follows a binomial distribution i.e

     \(X \~ \ B(n , p)\)

Now the mean is mathematically evaluated as

      \(\mu = n * p\)

=>   \(\mu = 3000 * 0.005\)

=>    \(\mu =15\)

The standard deviation is mathematically represented as

      \(\sigma = \sqrt{np(1 -p )}\)

=>  \(\sigma = \sqrt{3000 * 0.005 * (1 - 0.005 )}\)

=>   \(\sigma = 3.86\)

Now given that n is very large, then it mean that we can successfully apply normal approximation on this  binomial distribution

So

    \(P(X \ge 15) = P( \frac{X - \mu}{\sigma } \ge \frac{x - \mu}{\sigma } )\)

Now  applying  Continuity Correction we have

   \(P(X \ge (15-0.5)) = P( \frac{X - \mu}{\sigma } > \frac{(15 -0.5) - 15}{3.86 } )\)

Generally  \(\frac{X - \mu}{\sigma } = Z (The \ standardized \ value \ of \ X)\)

    \(P(X \ge (15-0.5)) = P(Z >-0.130 )\)

From the z-table  

       \(P(Z >-0.130 ) =0.5\)

Thus  

    \(P(X \ge 15) = 0.5\)

Step-by-step explanation:

A bill and account collector, sometimes called a collection agent, is a broker between the creditor and the debtor. Their job is to negotiate repayment plans with debtors, and to help them find solutions to make paying their overdue bills easier.

Most bill and account collectors are required to have a high school diploma, although some employers prefer applicants who have taken some college courses. Communications, accounting, and basic computer courses are examples of classes that are helpful for entering this occupation.

Answer:

70.5°

Step-by-step explanation:

22² = (20)²+(18)² - 2(20)(18) cos X

484 = 400 + 324 - 720 cos X

-240 = -720 cosx

1/3 = cos X

\(cos^{-1}(\frac{1}{3})\) = X

X = 70.52877937

A good practice to remember when adding transitions to a presentation is to ensure that they are purposeful, consistent, and enhance the overall flow of the presentation.

Purposeful: Use transitions to guide the audience through your key points and ideas, making sure they complement the content and contribute to the overall message.
Consistent: Maintain a consistent style of transitions throughout your presentation to maintain a cohesive look and feel. Avoid using too many different types of transitions, as this may be distracting.
Enhance flow: Transitions should help create a smooth flow between slides and ideas, making it easy for the audience to follow your presentation. Avoid using abrupt or overly flashy transitions that may interrupt the natural progression of your content.

finally, Test your presentation with the transitions to make sure they enhance the overall flow and comprehension of your message.

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9514 1404 393

Answer:

  x = -25/3

Step-by-step explanation:

Multiply by the inverse of the coefficient of x. Reduce the fraction.

  (-5/2)(10/3) = (-5/2)(x/(-5/2))

  -50/6 = x = -25/3

Answer:

-25/3

Step-by-step explanation:

the other person is also correct. khan said so

\((\stackrel{x_1}{-3}~,~\stackrel{y_1}{-11})\hspace{10em} \stackrel{slope}{m} ~=~ 4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-11)}=\stackrel{m}{ 4}(x-\stackrel{x_1}{(-3)}) \implies y +11 = 4 ( x +3) \\\\\\ y+11=4x+12\implies {\Large \begin{array}{llll} y=4x+1 \end{array}}\)

The equation is:

Work/explanation:

Recall that the point slope formula is \(\rm{y-y_1=m(x-x_1)}\),

where m is the slope and (x₁, y₁) is a point on the line.

Plug in the data:

\(\rm{y-(-11)=4(x-(-3)}\)

Simplify.

\(\rm{y+11=4(x+3)}\)

Simplified to slope intercept:

\(\rm{y+11=4x+12}\)

\(\rm{y=4x+1}\) <- this is the simplified slope intercept equation

Answer:

Subtract 3 from both sides

Step-by-step explanation:

When solving a linear equation, you need to get all the constants to one side and all the variable terms to the other side. In the equation 15=-3x+3, there is one constant on the left, and a variable term and a constant on the right. You have to move the constant, in this case 3, to the left side in order to solve. To do this, you perform the opposite operation, so in this case, you would subtract 3 from both sides. The 3 on the right will cancel out with the minus three, so you will have a zero on the right side, which can just be removed. You are left with 12=-3y.

Finding the number of problems per week,

So, she solves 25 problems per week.

If we let the number of weeks be x,

\(25x \geq 827 \\ \\ x \geq 827/25 \\ \\ \therefore \lceil x \rceil=\boxed{34}\)

Answer:2,440,000,000

Step-by-step explanation:

Answer: In that picture the slope is increasing

Step-by-step explanation: positive rise and positive run (uphill from left to right)

Answer:

The data below represents the number of hours an office assistant spends on the phone every week for 15 weeks. 19, 6, 10, 7, 9, 5, 8, 9, 12, ...

2 answers

·

28 votes:

The information given shows that it has a mean of 11.93, a median of 10 and an interquartile ...

Step-by-step explanation:

Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

The ratio of 2:3 means total length will be 2 parts + 3 parts i.e. total 5 parts .

Now 5th part of 90 cm will be 90/5= 18 cm ,

2 x 18 = 36 cm the length of shorter length

similarly

3 x 18 = 54 cm the length of longer part.

in total 36+54= 90.

Answer:

i think its c

but im not sure

Step-by-step explanation:

Answer:

12 is the answer.....

12 is the answer.....

Step-by-step explanation:

12 is the answer.....

12 is the answer.....

12 is the answer.....12 is the answer.....12 is the answer.....12 is the answer.....

Answer:

Answer: 4

Step-by-step explanation:

Answer: GCF of 8 and 12 is 4.

Answer:

1760 cm³

Step-by-step explanation:

Volume For top "trapezoidal" prism : (14 * 4)/2 * 20 = 28 * 20 = 560

Volume for bottom rectangular prism = 6 x 10 x 20 = 60 x 20 = 1200

1200 + 560 = 1760 cm³

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer: y = (5/2)x

Step-by-step explanation:

y varies directly with x implies that y∝x

To turn y∝x to a full equation, introduce a constant k to the right hand side.

Therefore, y = kx

Given that x is 4 and y is 10, substitute x and y in the equation above.

Then, 10 = 4k

4k = 10

k = 10/4

k = 5/2

Since k = 5/2, then the equation y = kx becomes,

y = (5/2)x

1. The slopes of perpendicular lines are  a negative reciprocal

2. Parallel lines have the same slope.

3. The shortest distance from any point to a line is a straight line

The slope of two perpendicular lines is such that the slope of one line is equal to the reciprocal of the negative slope of the other.

if two lines of slope m and m' are perpendicular their slopes is written as

m = -1/m'

Parallel lines grow vertically and flow horizontally at the same rate. they have the same slope, they never cross.

if two lines of slope m and m' are perpendicular their slopes is written as

m = m'

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Answer:

a) The mean income to 2 DP is £28142.86

b) The mean income excluding Deva's income is £19666.67

Step-by-step explanation:

The formula for mean is,

m = sum of terms/number of terms

Now n = number of terms = number of people = 7

And in the sum, we will input their salaries, so we get,

a) m = (13500 + 27500 + 13750 + 79000 + 19250 + 29000 + 15000)/7

m = 197000/7

m = 28142.85714

to 2 DP, we get,

m = £28142.86

b) Excluding Deva's income, i.e. excluding 79000, and then, the number of people becomes 6, so we get the mean,

Mean without Deva's Income = (13500 + 27500 + 13750 + 19250 + 29000 + 15000)/6

Mean without Deva's Income = 118000/6

Mean without Deva's Income = 19666.66667

to 2 DP, we get,

Mean without Deva's Income = 19666.67

or,

Mean without Deva's Income = £19666.67

For the circular cover we have:

A) The area is 379.94 ft²

B) The length of the rope must be 68.2 ft

Remember that the area of a circle of radius R is given by the formula:

\(A = pi*R^2\)

Where pi = 3.14

In this case, the diameter of the pool is 20ft, then the radius is:

R = 20ft/2 = 10ft

And it must extend 12 inches beyond, then the radius of the cover must be:

R = 10ft + 12in

Now, we know that 1ft = 12 in, then we can rewrite the radius as:

R = 10ft +1ft = 11ft

Then the area of the cover is:

\(A = 3.14*(11ft)^2 = 379.94 ft^2\)

B) now we want to get the length of the rope, we know that the rope runs along the cover, then the length of the rope must be equal to the circumference of the cover.

Remember that the circumference of a circle of radius R is:

\(C = 2*pi*R\)

Then the length of the rope will be:

\(C = 2*3.14*11ft = 68.2ft\)

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Answer:

1. 0.66 and 2.4

2. the value of r would increase after the removal of the outlier.

Step-by-step explanation:

. An outlier is a deviation from other values in a random sample. The outlier is usually much smaller or larger than other values.the coordinates of the outliers are approximately 0.66 and 2.4

2. When the outlier is removed, the data will not be as much scattered as it was earlier. The regression line is moving up so it would go a bit further from 0.73. therefore since this 0.73, the value of r would increase after the removal of the outlier.

The axis of symmetry is at x = 1, the domain is (-∞, +∞), the y-intercept c is at 7 and x intercept is not applying .

A parabolic function is one that satisfies the formula f(x) = ax2 + bx + c and, when represented graphically in two dimensions, has the shape of a parabola. Any quadratic equation with just a second degree in x is the equation for a parabolic function.

The following characteristics define a basic parabola:

Thus, from the given graph the value are obtained as:

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To save 6 months’ worth of your fixed expenses in an emergency fund will take approximately 5 months.

An emergency fund is a safety net used specifically to cover basic living expenses for at least 6 months in case future mishaps or unexpected expenses arise.

Financial experts generally recommend six months of basic living (fixed) expenses to put away in an emergency fund.

The amount to save in the emergency fund = $3,753.79 ($2,085.44 x 30% x 6)

50% of discretionary monies = $729.90 ($2,085.44 x 1 - 30%) x 50%

Months to save $3,753.79 saving $729.90 = 5 months ($3,753.79/$729.90)

Your realized income is $2,085.44, and your fixed expenses are 30%. You want to save 6 months’ worth in an emergency fund.

How many months will it take to fully fund it, excluding interest accrual?

Thus, o save 6 months’ worth of your fixed expenses in an emergency fund will take approximately 5 months.

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Answer:

To calculate this, we first need to find the amount of discretionary money left after paying fixed expenses:

Discretionary money = Realized income - (Fixed expenses as a percentage of realized income)

Discretionary money = $2,085.44 - (30% x $2,085.44)

Discretionary money = $2,085.44 - $625.63

Discretionary money = $1,459.81

We want to put 50% of this toward the emergency fund each month, so:

Emergency fund contribution per month = 50% x $1,459.81

Emergency fund contribution per month = $729.91

To find out how many months it will take to fully fund the emergency fund, we divide the total amount needed by the monthly contribution:

Number of months = (Total amount needed) / (Emergency fund contribution per month)

Number of months = $18,292.65 / $729.91

Number of months = 25.06

Rounded up to the nearest whole month, it will take 26 months to fully fund the emergency fund.

Therefore, the answer is:

26 months

The correct answer is Part 1: The 99% confidence interval for the population proportion is approximately (0.4716, 0.5416).Part 2: With 99% confidence, the population proportion of adults who say they have started paying bills online in the last year is between the endpoints of the given confidence interval.

Part 1:

To construct a 99% confidence interval for the population proportion, we can use the formula:

Confidence Interval = Sample Proportion ± Margin of Error

where the margin of error is determined by the level of confidence and the standard error.

First, let's calculate the sample proportion:

Sample Proportion = (Number of adults who say they have started paying bills online) / (Total number of adults surveyed)

Sample Proportion = 1436 / 2837 ≈ 0.5066 (rounded to four decimal places)

Next, we need to calculate the standard statistics error, which is the measure of the variability in the sample proportion:

Standard Error = sqrt((Sample Proportion * (1 - Sample Proportion)) / Sample Size)

Standard Error = sqrt((0.5066 * (1 - 0.5066)) / 2837) ≈ 0.0136 (rounded to four decimal places)

Now, we can calculate the margin of error:

Margin of Error = Critical Value * Standard Error

The critical value is based on the desired confidence level. For a 99% confidence level, the critical value is approximately 2.576 (obtained from a standard normal distribution table).

Margin of Error = 2.576 * 0.0136 ≈ 0.0350 (rounded to four decimal places)

Finally, we can construct the confidence interval:

Confidence Interval = Sample Proportion ± Margin of Error

Confidence Interval = 0.5066 ± 0.0350

Confidence Interval ≈ (0.4716, 0.5416) (rounded to four decimal places)

Part 2:

The correct interpretation is:

C. With 99% confidence, it can be said that the population proportion of adults who say they have started paying bills online in the last year is between the endpoints of the given confidence interval.

This means that we are 99% confident that the true proportion of adults who have started paying bills online falls within the range of 0.4716 to 0.5416. The survey results suggest that approximately 47.16% to 54.16% of the population of adults have started paying bills online in the last year.

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Answer:

what?

Step-by-step explanation:

The expressiοn that we can use tο find the tοtal revenue is 90x + 120y - 5n  

An algebraic expressiοn is a cοmbinatiοn οf numbers, variables, and mathematical οperatiοns, such as additiοn, subtractiοn, multiplicatiοn, and divisiοn. Algebraic expressiοns can be used tο represent a wide range οf mathematical relatiοnships

Given that

A trader sells x pencils at 90 each,

Then selling price οf 'x' pencils = 90x

The trader sοld y pens at 120

Then the selling price οf y pens = 120y

5 erasers are sοld at N

Cοst οf 5 erasers = 5 × N = 5N  

Hence, the tοtal revenue = 90x + 120y - 5n

Therefοre,

The expressiοn that we can use tο find the tοtal revenue is 90x + 120y - 5n.

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32 child tickets were sold on that day

Given:

The cost per child = $6.00

let the number of child tickets = c

The cost per adult ticket = $9.20

let the number of adult tickets = a

To find:

the number of child tickets sold

On Monday:

Adult tickets = 2(children tickets)

a = 2c

Total sales on Monday = $780.80

Total sales = The cost per child (number of child tickets) + The cost per adult (number of adults tickets)

780.80 = 6(c) + 9.2(a)

substitute for a:

780.8 = 6c + 9.2(2c)

780.8 = 6c + 18.4c

780.8 = 24.4c

divide both sides by 24.4:

Hence, 32 child tickets were sold on that day

The solution of given inequalities are respectively,  c ≥ -4,  c ≥ 10, c ≥ -10,  c ≥ 4

Inequalities are the comparison of mathematical expressions, whether one quantity is greater or smaller in comparison to another quantity.

We use these symbols to represent inequalities, '>' , '<', '≥', '≤'

Here are the solutions for each inequality:

1. c + 7 ≥ 3

Subtracting 7 from both sides, we get:

 c ≥ -4

2. c ≥ 10

Since 10 is greater than -4, the solution to this inequality is simply c ≥ 10.

3. c ≥ -10

Since -10 is less than -4, the solution to this inequality is simply c ≥ -10.

4. c ≥ 4

Since 4 is greater than -4, the solution to this inequality is simply c ≥ 4.

So, the solution to the system of inequalities is c ≥ 10. This means that c has to be 10 or greater in order for the inequalities to be true.

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Angle L's in the triangle LMN is,

⇒ L = 72.54°

We have to given that;

A triangle LMN is shown in figure.

And, The sides are,

Since, We know that;

A triangle is a three-sided polygon with three vertices, three angles that add up to 180 degrees, and three sides.

Since, We know that;

⇒ sin L = Opposite / Hypotenuse

And, cos L = Base / Hypotenuse

Two rays after combined into an angle have a single terminal. And, latter is known as the vertex of the angle, and the rays are known as its sides, occasionally as its legs, and occasionally as its arms.

Now, We can use trigonometry formula to find the value of angle l we get;

⇒ sin L = Opposite / Hypotenuse

⇒ sin L = LM / LN

⇒ sin L = 18/60

Taking arc sin both side, we get;

⇒ L = 72.54°

Therefore, The value of measure of angle L is triangle LMN is,

⇒ L = 72.54°

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