9+8+5+16+4+x. average=10. x=?​

Answer:

y = x -2

Step-by-step explanation:

Slope is 1, y-intercept is (0,-2)

Answer:

y=x-2

Step-by-step explanation:

Answer:

My push

Step-by-step explanation:

Answer:

$66

Step-by-step explanation:

If the price of 1 dozen of flowers is 4 1/3 dollars, the cost of 3 dozen is three times the cost of 1 dozen, meaning,

Answer: 13 dollars.

According to the question c is a circle centered at the​ origin, oriented​ counterclockwise, that encloses disk r in the plane The two-dimensional curl of the vector field \(\(f = 2x, 2y\) is \(0\)\).

To calculate the curl of a vector field, we use the formula \(\(\text{curl}(f) = \frac{\partial f_y}{\partial x} - \frac{\partial f_x}{\partial y}\)\).

For the given vector field \(\(f = 2x, 2y\)\), the partial derivatives are

\(\(\frac{\partial f_y}{\partial x} = 0\) and \(\frac{\partial f_x}{\partial y} = 0\)\).

Substituting these values into the curl formula, we have \(\(\text{curl}(f) = 0 - 0 = 0\)\).

Therefore, the two-dimensional curl of the vector field \(\(f = 2x, 2y\) is \(0\)\).

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The conditional probability is 3/8

From the question, we have

total number in bit string =16

let s be the set of all bit strings

number of strings =8

probability of selecting A

P(A)=8/16=1/2

P(A∩B)=3/16

the conditional probability is,

P(A∩B)/P(A)=3/16/1/2

=3/8

Probability:

Possibility is referred to as probability. This branch of mathematics deals with the occurrence of a random event. The value's range is 0 to 1. Probability has been applied into mathematics to predict the likelihood of different events. Probability generally refers to the degree to which something is likely to occur. This fundamental theory of probability, which also applies to the probability distribution, can help you comprehend the possible outcomes for a random experiment. Gonna determine how likely something is to occur, use probability. Many things are hard to predict with 100% certainty. We can only anticipate the possibility of an event occurring using it, or how likely it is.

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Answer:

Roman numerals

Step-by-step explanation:

In a pedigree, Roman numerals are used to represent different generations, while Arabic numerals are used to represent individuals within each generation. For example, the first generation would be represented by Roman numeral I, the second generation by Roman numeral II, and so on. Within each generation, individuals are numbered sequentially using Arabic numerals, starting with 1 for the first individual in the generation.

Thus, the magnitude of value of |a+b| is Sqrt (9), which simplifies to just 3.

To find the magnitude of the sum of two vectors, we need to add the two vectors together and then take the square root of the sum of their squares.

So, let's first add the two vectors together:

a+b = (3i+4j-4k) + (-2i-6j+2k)
    = i - 2j - 2k

Now, we can find the magnitude of this vector by squaring each of its components, summing them, and then taking the square root:

|a+b| = sqrt((1^2) + (-2^2) + (-2^2))
     = sqrt(1 + 4 + 4)
     = sqrt(9)
     = 3

Therefore, the value of |a+b| is Sqrt (9), which simplifies to just 3.

In summary, the magnitude of the sum of two vectors can be found by adding the vectors together, squaring each of their components, summing them, and then taking the square root.

For the given vectors a=3i+4j-4k and b=-2i-6j+2k, their sum is i - 2j - 2k, and the magnitude of this vector is 3.

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Answer: 12pi + 140

Step-by-step explanation:

Area of the trapezoid: (1/2)(7)(16+24)=(20)(7)=140

Area of semicircle: (pi)(12)=12pi

So total area = 12pi + 140

Answer:

Line C

Step-by-step explanation:

Hope you pass

ABC needs money to buy a new car.

a) ABC can borrow approximately $20500.99 from his friend initially

b) Assuming a payment growth rate of 0.75, ABC can borrow approximately $50139.09

a) To calculate how much ABC can borrow from his friend initially, we can use the present value formula for an annuity:

PV = PMT * [(1 - (1 + r)^(-n)) / r]

Where PV is the present value, PMT is the annual payment, r is the interest rate, and n is the number of years.

In this case, ABC will make annual payments of $5000 in the first year and $8000 for the next four years, with a 7% compounded interest rate.

Calculating the present value:

PV = 5000 * [(1 - (1 + 0.07)^(-5)) / 0.07]

PV ≈ $20500.99

Therefore, ABC can borrow approximately $20500.99 from his friend initially.

b) If ABC's salary is estimated to increase at a rate of 0.75, we need to adjust the annual payments accordingly. The new payment schedule will be $5000 in the first year, $5000 * 1.75 in the second year, $5000 * (1.75)^2 in the third year, and so on.

Using the adjusted payment schedule, we can calculate the present value:

PV = 5000 * [(1 - (1 + 0.07)^(-5)) / 0.07] + (5000 * 1.75) * [(1 - (1 + 0.07)^(-4)) / 0.07]

PV ≈ $50139.09

Therefore, ABC can borrow approximately $50139.09 from his friend initially, considering the estimated salary increase.

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Let's denote the event of using smartphones in meetings or classes as "success" and the event of not using smartphones in meetings or classes as "failure".

The probability of success, P(S), is given as 46% or 0.46, and the probability of failure, P(F), is 1 - P(S) = 1 - 0.46 = 0.54.

We can calculate the probability of each possible outcome using the binomial probability formula:

P(X = k) = C(n, k) * P(S)^k * P(F)^(n-k)

where:

n is the total number of trials (6 in this case)

k is the number of successful outcomes (3, 4, 5, or 6 in this case)

C(n, k) represents the number of combinations of n items taken k at a time. To find the probability of at least 3 successes, we need to sum the probabilities of the individual outcomes:

P(X ≥ 3) = P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6)

Calculating each probability:

P(X = 3) = C(6, 3) * (0.46)^3 * (0.54)^(6-3)

P(X = 4) = C(6, 4) * (0.46)^4 * (0.54)^(6-4)

P(X = 5) = C(6, 5) * (0.46)^5 * (0.54)^(6-5)

P(X = 6) = C(6, 6) * (0.46)^6 * (0.54)^(6-6)

Summing up these probabilities will give us the desired probability:

P(X ≥ 3) = P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6)

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Based on the total amount that Danielle sold last week, the amount that she earned from her commission and base salary was $1,087.75

Danielle gets a total earning of both her commission which is 8.25% on goods sold, and a base salary of $700 per week.

In the given week, she sold $4,700 which means that the commission was:

= 4,700 x 8.25%

= $387.75

This means that Danielle's total earnings for the week was:

= 700 + 387.75

= $1,087.75

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Answer:

51°

Step-by-step explanation:

Note that the square in the angle place = 90°.

Also note, that a complete circle is 360°.

Set the equation. Let the ? be denoted by the variable x:

x + 90+ 124 + 95 = 360

Simplify. Combine like terms:

x + (90 + 124 + 95) = 360

x + (309) = 360

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 309 from both sides of the equation:

x + 309 (-309) = 360 (-309)

x = 360 - 309

x = 51

51° is your answer.

~

Answer:

465 miles

Step-by-step explanation:

So you have the ratio 1 cm: 110 mi, so you can multiply both sides of this ratio by 4.5 to get

4.5 cm: 465 mi

Answer: A good way to get a small standard error is to use a large sample.

Step-by-step explanation:

In order to find the small standard error, there is always need of a complete set which is called the large sample.

If tried to do a small or repeating sample, you will most likely not get an error and you could get a repetition. If you do a population sample, you wont get accurate results at all.

Therefore, a good way to get a small standard error is to use a large sample. Hope this helps!

-From a 5th Grade Honors Student

Answer:

Solving for C? Well

7 - 5c = 17 + 5z

-5c = 10 + 5z

c = (10 + 5z) / -5 = -2 - z

c = -z - 2 :)

Answer:

Step-by-step explanation:

mark the term with the c variable on one side of the equation.

so you'll get

-5c = 17 + 5z - 7

-5c = 10 - 5z

(divide whole equation by -5 now)

c = -2 + z

or

c = z-2

Answer:

A. x<8

Step-by-step explanation:

17 < 9 + x

subtract 9 from both side

17-9 < 9-9 + x

8 < x

I hope it helps (✷‿✷)

Let the first number = x

The second number would be x +1

3rd number = x +2

4th number = x +3

5th number = x+4

6th number = x+5

7th number = x +6

8th number = x +7

9th number = x+8

The sum is 279

Combine like terms in the 9 numbers to get: 9x + 36 = 279

Solve for x:

9x + 36 = 279

Subtract 36 from both sides:

9x = 243

Divide both sides by 9:

x =27

The first number is 27

The last number would be 27 + 8 = 35

The sum of the first and last would be 27 + 35 = 63

To calculate a three-month moving average for monthly forecasting, you need to follow these steps: Gather the historical data, Determine the time period, Calculate the moving average, Repeat the process.

Gather the historical data: Collect the monthly data for the specific variable you want to forecast. For example, if you want to forecast sales, gather the sales data for the past several months.

Determine the time period: Decide on the time period for your moving average. In this case, it is three months.

Calculate the moving average: Add up the values for the variable you are analyzing over the past three months and divide the sum by three to get the average. This will be your moving average value for the third month.

Repeat the process: Shift the time period by one month and calculate the moving average for the new three-month period. Continue this process for each subsequent month, updating the time period and calculating the moving average accordingly.

For example, let's say you have the following sales data for the past six months:

Month 1: 100 units

Month 2: 120 units

Month 3: 110 units

Month 4: 130 units

Month 5: 140 units

Month 6: 150 units

To calculate the three-month moving average for Month 4, you would add up the sales values for Month 2, Month 3, and Month 4 (120 + 110 + 130 = 360) and divide it by three to get an average of 120 units. Repeat this process for each subsequent month to obtain the moving average values for your forecast.

Note that the number of data points you include in the moving average calculation and the frequency of the data (monthly in this case) can be adjusted based on your specific needs and the nature of the data.

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Answer:

yea that's about right. like the square root of 100 would be 10 and the square root of 90 would be about 9.5 dose that make since?

Yes, it is likely that their square roots are also 10 apart because the square root of 100 is 10.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that is +, -, ×, and ÷.

It is given that:

If two numbers are 10 apart.

As we know,

The square root of 100 is 10

√100 = 10

Let us assume the number 90 which is near the 100

The square root of the number 90 is 9.48 which is near or after rounding:

√90 = 9.5

Thus, yes it is likely that their square roots are also 10 apart because the square root of 100 is 10.

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As per area of rectangle, the dimensions of the box that yield the lowest cost is (1,1,6)

Area of rectangle:

The standard formula for area of rectangle is calculated as,

A = length x breadth

Given,

A closed rectangular box with volume 6 cubic feet is made from two different types of cardboard. the top and bottom are made with a heavy-duty cardboard that costs 30 cents per square foot. The sides are made from a light-weight cardboard that costs 5 cents per square foot.

Here find the dimensions of the box that yield the lowest cost.

Here let's consider the dimensions of the rectangular box be length l, breadth is b, and height is h.

Now, from the given information, the total cost can be derived as,

=> C=2lb×48+(2bh+2lh)×8

=> C=96lb+16bh+16lh

=> C=16(6lb+bh+lh) -----------------→(1)

Then the given volume is, V = lbh = 6 ---------------→(2) cubic feet.

Then the equation 2,

=> lbh = 6h = 6/lb

And then we have to substitute the value of h in equation 1, we get

=> C(l,b,h)=16(6lb+6/l+6/b)

Now we need to minimize the resulting function of two variables.

Therefore, we need to partially derivative the above function with respect to l,b. And set these equal to zero.

And the for l=0,b is undefined. So we can eliminate l=0.

Here we have to substitute l=1,b=112⇒1 in equation 2, we get

=> lbh=6(1)(1)h=6h=6h=6

Therefore, the critical point is, (1,1,6)

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Answer:

5

Step-by-step explanation:

Based on the given conditions, formulate:: 8-3

Calculate the sum or difference: 5

The percent difference in the final unit cost of the two given items is equal to 33.33%  approximately.

To find the percent difference in the final unit cost of the two items,

Calculate the unit cost for each item and then find the percent difference.

For the first company,

Cost of 4 spools = $500

Cost of 1 spool = $500 / 4

                         = $125

Unit cost for the first company

= $125 / 250 feet

= $0.5 per foot

For the second company,

Cost of 6 spools = $800

Cost of 1 spool

= $800 / 6

= $133.33 (rounded to 2 decimal places)

Unit cost for the second company

= $133.33 / 400 feet

= $0.33333 (rounded to 5 decimal places) per foot

Now, let's calculate the percent difference,

Percent difference = (|New Value - Old Value| / Old Value) × 100

For the unit cost,

Percent difference = (|$0.33333 - $0.5| / $0.5) × 100

⇒Percent difference = (|$0.16667| / $0.5) × 100

⇒Percent difference = ($0.16667 / $0.5) ×100

⇒Percent difference = 0.33334 × 100

⇒Percent difference ≈ 33.33%

Therefore, the approximate percent difference in the final unit cost of the two items is about 33.33%.

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To find the percentage difference between two companies selling ropes, one with 250-foot spools and another with 400-foot spools. The cost for four spools of the first company is $500 and the cost of six spools of the second company is $800.

The cost per unit of the first company is $500 / 4 spools

= $125 per 250-foot spool.

The cost per unit of the second company is $800 / 6 spools

= $133.33 per 400-foot spool.

To determine the percentage difference in the final unit cost of the two items, we must find the difference between their costs per unit.

The difference is $133.33 - $125

                                = $8.33.

The percent difference is calculated using the following formula:

Percent difference = (Difference / Average) x 100

Where average = (133.33 + 125) / 2

                          = $129.17

Percent difference = (8.33 / 129.17) x 100

                                           = 6.45%

Therefore, the percentage difference in the final unit cost of the two items is approximately 6.45%.

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Answer:

5

Step-by-step explanation:

Container volume = 2 1/2 liters

Bottle volume = 1/2 liters

No. of bottles = Container vol. / Bottle vol.

= 2 1/2 / 1/2

= 5/2 / 1/2

= 5

2.5 divided by 1/2=5

5 lemonade bottles

The ordered sequence would be: 30, 35, 35, 50, 50, 60, 85 for week 1. Similarly, for Week 2, the ordered sequence would be: 30, 40, 45, 45, 50, 50, 55.

The first step is to order the minutes for each week, which means arranging the recorded minutes in ascending order for Week 1 and Week 2. For Week 1, the ordered sequence would be: 30, 35, 35, 50, 50, 60, 85. Similarly, for Week 2, the ordered sequence would be: 30, 40, 45, 45, 50, 50, 55.

The next step is to find the range for each week. The range is determined by subtracting the lowest value from the highest value in the ordered sequence. For Week 1, the range would be 85 - 30 = 55 minutes, while for Week 2, the range would be 55 - 30 = 25 minutes.

Finally, Kate should compare the ranges. In this case, Week 1 had the larger range in minutes (55 minutes) compared to Week 2 (25 minutes). Therefore, Week 1 had a greater variation in the number of minutes Kate read each day, indicating more fluctuation in her reading habits compared to Week 2.

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The x -axis could be labeled from 0 to 12 with a scale of 1 , and the y -axis could be labeled from 0 to 200 with a scale of 10 .

Given that:

A beekeeper collects an average of 10 gallons of honey each month throughout the year

Where x represents the number of months since the year began, and y represents the amount of honey collected, in gallons

Since the x-axis represents the months and we have 12 months in a year. Thus, the x-axis could be labeled from 0 to 12 with a scale of 1

Since the y-axis represents the amount of honey collected, in gallons and the beekeeper collects an average of 10 gallons of honey each month. Thus, the y-axis could be labeled from 0 to 200 with a scale of 10.

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Answer:

12 cars per day

Step-by-step explanation:

If this trend continues, the total books the author would have sold over the first 12 months is 157,810 books.

In this scenario, we would calculate the total books sold by this author over the first 12 months as follows;

First month = 19,000 books.

Second month; 19,000 × (1 - 7)% = 19,000 × 93/100 = 17,670 books.

Third month; 17,670 × (1 - 7)% = 17,670 × 93/100 = 16,433 books.

Fourth month; 16,433 × (1 - 7)% = 16,433 × 93/100 = 15,283 books.

Fifth month; 15,283 × (1 - 7)% = 15,283 × 93/100 = 14,213 books.

Sixth month; 14,213 × (1 - 7)% = 14,213 × 93/100 = 13,218 books.

Seventh month; 13,218 × (1 - 7)% = 13,218 × 93/100 = 12,293 books.

Eigth month; 12,293 × (1 - 7)% = 12,293 × 93/100 = 11,432 books.

Ninth month; 11,432 × (1 - 7)% = 11,432 × 93/100 = 10,632 books.

Tenth month; 10,632 × (1 - 7)% = 13,218 × 93/100 = 9,888 books.

Eleventh month; 11,432 × (1 - 7)% = 11,432 × 93/100 = 9,196 books.

Twelveth month; 9,196 × (1 - 7)% = 9,196 × 93/100 = 8,552 books.

Next, we would add all of the books sold in each month together;

Total books sold = 19,000 + 17,670 + 16,433 + 15,283 + 14,213 + 13,218 + 12,293 + 11,432 + 10,632 + 9,888 + 9,196 + 8,552

Total books sold = 157,810 books.

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