write the rate as a fraction in simplest form 20 laser printers for 56 computers the rate is (blank) ( laser printers/computers or computers/laser printers) type the ratio in simplified fraction

Answer:

option c. 2

...........

The machine's purchasing cost is $309,210.

The acquisition cost of the machine is the total cost incurred by the firm to purchase and put the machine into service.

To determine the acquisition cost of the machine, we need to add up all the costs listed in the question.

Invoice price = $299,000

Applicable sales tax = $2,100

Freight paid = $1,160

Cost of insurance coverage = $1,025

Installation costs = $1,900

Testing and adjusting costs = $1,375

Repair of damages caused by the firm's employees = $1,450

Prepaid maintenance contract = $1,200

Total acquisition cost = Invoice price + Sales tax + Freight paid + Cost of insurance coverage + Installation costs + Testing and adjusting costs + Repair of damages caused by the firm's employees + Prepaid maintenance contract

Total acquisition cost = $299,000 + $2,100 + $1,160 + $1,025 + $1,900 + $1,375 + $1,450 + $1,200

Total acquisition cost = $309,210

Therefore, the acquisition cost of the machine is $309,210.

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Answer:

1320

Step-by-step explanation:

Rounding:

It is to the nearest 10, so the numbers would be

3210

1890

Subtracting:

3210

-1890

_____

1320

And there is your answer :D

The area of the sector is 37.7 ft.

A sector is a region of a circle that is bounded by two radii and the arc of the circle that lies between the endpoints of those radii.

The formula for the area of a sector is given by

Where θ is the central angle in degrees, and r is the radius of the circle

Here we have

A circle has a radius of 4 ft.  

The central angle of sector formed = 270°

Using the formula, Area of sector = (θ/360°) × π r²

Area of the given sector = [ 270/360] × 3.14 × (4)²

= [0.75 ] × [50.24]

= 37.68 ft

= 37.7 ft

Therefore,

The area of the sector is 37.7 ft.

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Answer: B.

Step-by-step explanation:

brainliest me

Answer:

2352

Step-by-step explanation:

(100 - 2) x 24 = 2400 - 48 = 2352

Answer:

G

Step-by-step explanation:

As a result, the original discounted price is $1 while the weekly normal price is $9.

The fundamental formula for calculating a reduction is to increase the initial price by the provided percentage rate in decimal form. We must deduct the reduction from the initial price to determine the item's sale price.

From the given information, we have:

d + 6x = 55 (discounted price for 7 weeks)

d + 11x = 100 (discounted price for 12 weeks)

We can solve this system of equations by eliminating d. Subtracting the first equation from the second, we get:

5x = 45

Dividing both sides by 5, we get:

x = 9

Substituting x = 9 into one of the equations, we can solve for d. Using the first equation, we get:

d + 6(9) = 55

d + 54 = 55

d = 1

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The change in temperature between the two readings as measured by Miguel is 18.7°F  .

In the question ,

the temperature  readings on the Miguel is

Average low temperature = -8.5°F

Average high temperature = 10.2°F

the change in the temperature , is given by the difference between the two reading .

which means

Change in temperature = Average high temperature - Average low temperature .

Substituting the values of average high and average low reading of the temperature from above ,

we get ,

Change in temperature = 10.2 -(-8.5)

= 10.2 + 8.5

= 18.7

the temperature change is 18.7°F .

Therefore , the temperature change is 18.7°F .

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Answer:

x = 58.03°

Step-by-step explanation:

Given:

Solve for x:

1. \(x=cos^{-1}(\frac{9}{17})=58.03\)

Answer:

So, the measure of angle x is equal to 58.03.

Answer:

Dollars per passenger would be $252.
The maximum revenue is $63,404.

Step-by-step explanation:

Let's define the number of passengers above 212 as x.

The revenue function is given by R(x) = (212 + x)(292 - x).

We can expand and simplify the revenue function:

\(R(x) = 212 * 292 + 212 * (-x) + x * 292 + x * (-x)\)

= \(61804 - 212x + 292x - x^2\)

= \(-x^2 + 80x + 61804\)

The revenue function is a quadratic function in the form\(R(x) = -x^2 + 80x + 61804\), representing a downward-opening parabola.

To find the x-coordinate of the vertex (which gives the number of passengers for maximum revenue), use the formula \(x = -b/2a\), where \(a = -1\) and \(b = 80\).

\(x=\frac{-80}{2*(-1)}\)

\(= \frac{80}{2}\)

\(= 40\)

Therefore, the number of passengers above 212 for maximum revenue is 40.

Substitute x = 40 into the revenue function to find the maximum revenue:

\(R(x) = -(40)^2 + 80(40) + 61804\)

\(= -1600 + 3200 + 61804\)

\(= 61804 + 1600\)

\(= 63404\)

Hence, the maximum revenue is $63,404.

To determine the fare per passenger, subtract x from the base fare of $292:

Fare per passenger = Base fare - x

\(= 292 - 40\)

\(= 252\) Dollars per passenger.

Answer:

a) Cancellations are independent and similar to arrivals.

b) 22.31% probability that no cancellations will occur on a particular Wednesday

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

\(P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}\)

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\(\mu\) is the mean in the given time interval.

Mean rate of 1.5 per day on a typical Wednesday.

This means that \(\mu = 1.5\)

(a) Justify the use of the Poisson model.

Each wednesday is independent of each other, and each wednesday has the same mean number of cancellations.

So the answer is:

Cancellations are independent and similar to arrivals.

(b) What is the probability that no cancellations will occur on a particular Wednesday

This is P(X = 0).

\(P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}\)

\(P(X = 0) = \frac{e^{-1.5}*(1.5)^{0}}{(0)!} = 0.2231\)

22.31% probability that no cancellations will occur on a particular Wednesday

Answer:

The correct answer I think is D

Step-by-step explanation:

The explanation of the other person is right, but you do 3-7, which gives u -4

The linear function represented by the table is presented as follows:

y = 2/3x + 6.

The slope-intercept representation of a linear function is presented by the rule below:

y = mx + b

In which the variables m and b are explained as follows:

From the presented table, when x = 0, y = 6, hence the intercept of the linear is given as follows:

b = 6.

For any increase of x by 3, the increase in y is of 2, hence the slope of the linear function is given as follows:

m = 2/3.

Thus the definition of the function is:

y = 2/3x + 6.

The problem asks for the linear function that represents the table.

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Answer:

The probability that the stock market would have a return of -23% or worse on one particular day (as it did on Black Monday) is approximately 0%.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

If the daily returns on the stock market are normally distributed with a mean of .05% and a standard deviation of 1%

This means that \(\mu = 0.05, \sigma = 1\)

The probability that the stock market would have a return of -23% or worse on one particular day (as it did on Black Monday) is approximately

This is the p-value of Z when X = -23. So

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{-23 - 0.05}{1}\)

\(Z = -23.05\)

\(Z = -23.05\) has a p-value of approximately 0. So

The probability that the stock market would have a return of -23% or worse on one particular day (as it did on Black Monday) is approximately 0%.

Answer:

The answer is B 7/12

I attached a picture for your work.

if you make more than 375 calls , is more economical the plan 1

Explanation

Step 1

Let

Plan 1

Plan 1 charges $28 per month for unlimited calls and

Plan 2

Plan 2 charges $13 per month plus $0.04 per call

if x representes the number of calls,then

Step 2

a)Use an inequality to find the number of monthly calls for which Plan 1 is more economical than Plan 2

more economical means smaller

replacing

solve the inequality

I hope this helps you

Answer:

Step-by-step explanation:

a + b)^6 will have 7 terms so you want row 6 of the triangle 1 6 15 20 15 6 1

so (a + b)^6 = a^6 + 6a^(5)b + 15a^(4)b^2 + 20a^(3)b^3 + 15a^(2)b^4 + 6ab^5 + b^6

given a = d and b = -5y

∴ (d − 5y)^6 = d^6 + 6d^(5)(-5y) + 15d^(4)(-5y)^2 + 20d^(3)(-5y)^3 + 15d^(2)(-5y)^4 +

Answer:

19

Step-by-step explanation:

He gets 6 wrong and 19 correct

Answer:

4 cookies

Step-by-step explanation:

24 x (1/6) = 24/6 = 4

Answer:

4

Step-by-step explanation:

1/6 can be represented as a percentage 1 divided by 6 = 0.1667...multiply that by 24 and you get 4 with a few decimals that round up to four as you would not want to give them a partial cookie....

Answer:

65 packets and 4 stamps

Step-by-step explanation:

The first thing we see is that the stamps are mixed... which means they must be added.

208 + 186 = 394 stamps total

Now we see that each packet has 6 stamps. So we divide the number of stamps in total by 6.

394/6= 65.66667

Now we see from that number that the stamps can't quite make 66 packets, so there are 65 packets.

Now we find the number of stamps left over by multiplying the number of packets by 6.

65 x 6= 390

Now we take the total number of stamps minus the number of stamps in packets.

394 - 390 = 4

Therefore, there are four stamps left over.

Hope this helps!

Using the binomial distribution, it is found that there is a 0.0001 = 0.01% probability that the airplane will be in serious trouble the next time it goes up.

The formula is:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

The values of the parameters are given as follows:

p = 0.1, n = 2.

The plane is in serious trouble if both engines fail, that is, the probability is P(X = 2), hence:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 2) = C_{2,2}.(0.1)^{2}.(0.9)^{0} = 0.0001\)

0.0001 = 0.01% probability that the airplane will be in serious trouble the next time it goes up.

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Answer:

So, 3 households would use 20 4/5 x 3 = 62 1/5 L of water per day.

Step-by-step explanation:

Each household uses 613 1/5 ÷ 10 = 61 3/5 L of water in 3 days.

Therefore, each household uses an average of 61 3/5 ÷ 3 = 20 4/5 L of water per day.

The length KL is 8 units

The value of x is undefined

The length KL is 12 units

From the question, we have the following parameters that can be used in our computation:

The rhombus

Also, we have

DK = 8

A rhombus is a quadrilateral with all sides equal.

So, we have

KL = 8

Here, we have

SKAL = 2x - 8

There is no point S on the rhombus

This means that

x = undefined

Here, we have

DM = 5y + 2 and DK = 3y + 6

A rhombus is a quadrilateral with all sides equal.

So, we have

5y + 2 = 3y + 6

Evaluate

2y = 4

Divide

y = 2

So, we have

KL = 5 * 2 + 2

KL = 12

Hence, the length KL is 12 units

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Answer:

\((a)\ \bar x = 1.19\)

\((b)\ \sigma_x = 0.18\)

Step-by-step explanation:

Given

\(n = 4\)

\(x: 1.45\ 1.19\ 1.05\ 1.07\)

Solving (a): The mean

This is calculated as:

\(\bar x = \frac{\sum x}{n}\)

So, we have:

\(\bar x = \frac{1.45 + 1.19 + 1.05 + 1.07}{4}\)

\(\bar x = \frac{4.76}{4}\)

\(\bar x = 1.19\)

Solving (b): The standard deviation

This is calculated as:

\(\sigma_x = \sqrt{\frac{\sum(x - \bar x)^2}{n - 1}}\)

So, we have:

\(\sigma_x = \sqrt{\frac{(1.45 -1.19)^2 + (1.19 -1.19)^2 + (1.05 -1.19)^2 + (1.07 -1.19)^2}{4 - 1}}\)

\(\sigma_x = \sqrt{\frac{(0.1016}{3}}\)

\(\sigma_x = \sqrt{0.033867}\)

\(\sigma_x = 0.18\)

Answer:

Step-by-step explanation:

Statement                     Reason

PR ≅ TR                        Given

<PQR≅<TSR                 Given

<PRQ≅<TRS                Vertical Angles Theorem

PQR=TSR                      SAS  Theorem   (Side-Angle-Side)