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The diameter of a circle measures 14 mm. What is the circumference of the circle?

Answer:

Step-by-step explanation:

Step 1:

Subtract total amount of git card from remanning balance.

90-64.98= $25.02

Step 2:

Divide $25.02 / 8.34= 3lbs

Hope that helps.

Answer:

25

Step-by-step explanation:

This is how you solve these types of ratio problems.

The ratio of students wearing sandals to sneakers is 5:1.

For example, there could be 5 students wearing sandals and 1 student wearing sneakers. The total then is 5 + 1 = 6.

This is much less than 30, so let's try again by keeping the ratio 5:1 but multiplying both sides by 2.

There could be 10 students wearing sandals and 2 students wearing sneakers. Now the total is 10 + 2 = 12. This is still much less than a total of 30.

Since we don't know what number we need to multiply both 5 and 1 in the ratio by to get a total of 30, let's call that number x.

There are 5x students wearing sandals to 1x students wearing sneakers.

The ratio is

5x : x

When we add the two numbers in the ratio, we must get 30.

5x + x = 30

Solve for x.

6x = 30

x = 5

Now that we know x = 5, and the ratio is 5x sandals to x sneakers, then the number of students wearing sandals is

5x = 5(5) = 25

Answer: 25

Answer:

EF = 18 in. & m∠F = 134 °

Step-by-step explanation:

Hi there,

In order to find the length of side EF, you should realize that this is an isosceles triangle. We know that two sides and two angles of this type of triangle are equal to each other. We also know that the lengths of the sides opposite of the congruent angles are equal to each other. Thus, we proved that length of side EF is equal to the length of side FG.

Therefore, EF is 18 inches because FG is 18 inches.

In order to find m∠F, you need to know that the sum of the angles in a triangle add up to 180°. You add all of the known angle values and subtract it by 180°.

m∠E + m∠G + m∠F = 180°

23° + 23° + m∠F =  180°

46° + m∠F = 180°

m∠F = 134°

Hope this explanation helps you understand this problem. Cheers.

Answer:

G

Step-by-step explanation:

The best measure to use would be the mean, because it is an average of all of the numbers.

Answer and explanation:

Keira could get or look up an electronic copy of the book online. Once she has an electronic copy(pdf for instance) of the book, she can count number of e's in her book using the PDF reader or any software extension(good number of tools online) that would do just that.

Factors for Keira to consider:

How many lines and words are there on average per page; how many words are there per line?

How many e's are there manually counting for at least 5 pages.

Problems Keira might have in collecting data:

If book is physical and not an electronic copy, Keira may have to go through a tedious task of counting manually. She could make a rough estimation based on a few pages counted but she would need more accurate figures which requires the tedious task of counting e 's manually

Answer:

11) 7d + 28 and 7(d+4)

12) y^2 + 3y and y(y+3)

Step-by-step explanation:

The probability that the sample mean would differ from the true mean by less than $40 when a sample of 466 persons is randomly selected is approximately 0.9135 or 91.35%.

To solve this problem, we need to use the formula for the standard error of the mean, which is:

Standard Error = Standard Deviation / Square Root of Sample Size

In this case, the standard error would be:

Standard Error = 505 / Square Root of 466
Standard Error = 23.374

Next, we can use the formula for the z-score, which is:

z = (Sample Mean - True Mean) / Standard Error

If we want to find the probability that the sample mean would differ from the true mean by less than 40 dollars, we need to find the area under the normal curve between z = -1.70 and z = 1.70 (since 40 / 23.374 = 1.70).

We can use a standard normal distribution table or calculator to find that this area is approximately 0.9106.

Therefore, the probability that the sample mean would differ from the true mean by less than 40 dollars if a sample of 466 persons is randomly selected is 0.9106, rounded to four decimal places.

We will use the Central Limit Theorem and the z-score formula.

Given the mean per capita income (µ) is $17,145 per annum, the standard deviation (σ) is $505 per annum, and the sample size (n) is 466. We want to find the probability that the sample mean differs from the true mean by less than $40.

First, we need to calculate the standard error (SE) of the sample mean, which is given by:

SE = σ / √n

SE = 505 / √466 ≈ 23.38

Now, we will find the z-scores for the range of $40 from the true mean:

Lower bound: (17,145 - 40 - 17,145) / 23.38 ≈ -1.71
Upper bound: (17,145 + 40 - 17,145) / 23.38 ≈ 1.71

Finally, we will find the probability by looking up the z-scores in a standard normal table or using a calculator:

P(-1.71 < Z < 1.71) ≈ 0.9135

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To find the probability that more than 5 red blood cells are visible under a microscope, we can use the Poisson distribution with a mean of 4.

The Poisson distribution is used to model the number of events that occur in a fixed interval of time or space. In this case, we are interested in the number of red blood cells per square unit visible under the microscope.

The formula for the Poisson distribution is:

P(X = k) = (e^(-λ) * λ^k) / k!

Where:
- P(X = k) is the probability of observing k events
- e is Euler's number (approximately 2.71828)
- λ is the mean number of events in the interval
- k is the actual number of events observed

In this case, the mean (λ) is given as 4. We want to find the probability of observing more than 5 red blood cells.

To find this probability, we need to calculate the sum of the probabilities for observing 6, 7, 8, 9, and so on, up to infinity. Since calculating the infinite sum is not practical, we can use a scientific calculator or statistical software to find the cumulative probability.

For example, using a scientific calculator, you can calculate the cumulative probability as follows:

1 - P(X ≤ 5)

This will give you the probability of observing more than 5 red blood cells per square unit visible under the microscope.

Remember to substitute the values of λ and k in the Poisson distribution formula and perform the calculations accurately.

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Answer:

40 14/25 years

Step-by-step explanation:

Well, this certainly is fun.

First, to find the fraction of the doctor's life which 13 years represents, subtract the fractions from 1 (and in this case l stands for lifetime):

\(13 = (1 - (\frac{1}{13} + \frac{4}{39} + \frac{1}{2}))(l)\)

\(13 = (\frac{25}{78})(l)\)

So, multiply this equation by the reciprocal of 25/78 to isolate one of l:

\(13(\frac{78}{25}) = l\)

\(l = 40\frac{14}{25}\) years

Answer:

7 kg and 35kg

Step-by-step explanation:

hope it helps

Answer:

0, 6

Step-by-step explanation:

A quarterback throws an incomplete pass. The height of the football at time t is modeled by the equation h(t) = –16t² + 40t + 7. Rounded to the nearest tenth, the solutions to the equation when h(t) = 0 feet are –0.2 s and 2.7 s.

the solution to be eliminated is -0.2s this is because time do not have negative values

ax² + bx + c = 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. a.

It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be real or complex.

Considering the given function, the answer is both real one is negative the other is positive.

The solution in this case represents time, and time of negative value do not apply in real life

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Answer:

3/2 liters/minute

Step-by-step explanation:

Divide 11/15 liters by 22/45 minutes:

 11

------

 15

-----------

 22

-----

 45

This is equivalent to:

11      45

----- * -----  =  3/2 (liters/min)

15      22

The flow rate of the pipe is 3/2 (or 1.5) litres per minute.

To calculate the flow rate of the pipe, we divide the volume of water (in litres) by the time taken (in minutes).

Given:

Volume of water = 11/15 liters

Time taken = 22/45 minutes

Flow rate = Volume / Time

Flow rate = (11/15) liters / (22/45) minutes

To divide by a fraction, we multiply by its reciprocal:

Flow rate = (11/15) x (45/22) liters/minutes

Simplifying the expression:

Flow rate = 495/330 litres/minutes

The fraction can be simplified further by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 165 in this case:

Flow rate = (495/165) / (330/165) litres/minutes

Flow rate = 3/2 liters/minutes

Therefore, the flow rate of the pipe is 3/2 (or 1.5) litres per minute.

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Answer:

x = -8/3

Step-by-step explanation:

1/2x+3 = 2/3+1

Combine like terms

1/2x+3 = 2/3 + 3/3

1/2x + 3 = 5/3

Subtract 3 from each side

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

1/2x = 5/3 - 9/3

1/2x = -4/3

Multiply each side by 2

1/2x *2 = -4/3*2

x = -8/3

Question 1a

To calculate the book value at the end of the first year using straight-line depreciation, we need to determine the annual depreciation expense first. The straight-line method assumes that the asset depreciates by an equal amount each year over its useful life. Therefore, we can use the following formula to calculate the annual depreciation:

Annual Depreciation = (Cost - Salvage Value) / Useful Life

Substituting the given values, we get:

Annual Depreciation = ($200,000 - $20,000) / 10 years = $18,000 per year

This means that the tractor will depreciate by $18,000 each year for the next 10 years.

To determine the book value at the end of the first year, we need to subtract the depreciation expense for the year from the original cost of the tractor. Since one year has passed, the depreciation expense for the first year will be:

Depreciation Expense for Year 1 = $18,000

Therefore, the book value of the tractor at the end of the first year will be:

Book Value = Cost - Depreciation Expense for Year 1

= $200,000 - $18,000

= $182,000

So the book value of the tractor at the end of the first year, December 31, 2022, using straight-line depreciation is $182,000. so the answer is D

Question 1(b)

To determine the farmer's noncurrent liabilities, we need to use the information provided to calculate the total liabilities and then subtract the current liabilities from it. Here's the step-by-step solution:

Calculate the total current liabilities using the current ratio:

Current Ratio = Current Assets / Current Liabilities

2 = $80,000 / Current Liabilities

Current Liabilities = $80,000 / 2

Current Liabilities = $40,000

Calculate the total liabilities using the debt/equity ratio:

Debt/Equity Ratio = Total Liabilities / Owner Equity

1.0 = Total Liabilities / $100,000

Total Liabilities = $100,000 * 1.0

Total Liabilities = $100,000

Subtract the current liabilities from the total liabilities to get the noncurrent liabilities:

Noncurrent Liabilities = Total Liabilities - Current Liabilities

Noncurrent Liabilities = $100,000 - $40,000

Noncurrent Liabilities = $60,000

Therefore, the farmer's noncurrent liabilities are $60,000. so the answer is B.

a. The probabilities of winning for the given selections is 0.0024

b. The probabilities of winning for the given selections is 0.0012

c. The probabilities of winning for the given selections is 0.0006

d. The probabilities of winning for the given selections is 0.0004

What is probability?

Probability is a measure or quantification of the likelihood or chance of an event occurring. It is a numerical value between 0 and 1, where 0 represents an event that is impossible or will never occur, and 1 represents an event that is certain or will always occur .The closer the probability value is to 1, the more likely the event is to occur, while the closer it is to 0, the less likely the event is to occur.

To calculate the probability of winning in the given state lottery scenario, we need to determine the total number of possible outcomes and the number of favorable outcomes for each selection.

In this lottery, four digits are drawn at random one at a time with replacement from 0 to 9. Since replacement is allowed, the total number of possible outcomes for each digit is 10 (0 to 9).

a. Probability of winning if you select 6, 7, 8, 9:

Total number of possible outcomes for each digit: 10

Total number of favorable outcomes: 4! (4 factorial) = 4 * 3 *2 * 1 = 24

The probability of  total number of favorable outcomes divided by the total number of possible outcomes:

Probability of winning = \(\frac{24 }{10^4}=\frac{ 24}{10000} = 0.0024\)

b. Probability of winning if you select 6, 7, 8, 8:

Total number of possible outcomes for each digit: 10

Total number of favorable outcomes: \(\frac{4!}{2!}\) (4 factorial divided by 2 factorial) = \(\frac{4 * 3 * 2 * 1}{ 2 * 1}= \frac{24}{2} = 12\)

Probability of winning = \(\frac{12 }{10^4} = \frac{12 }{10000 }= 0.0012\)

c. Probability of winning if you select 7, 7, 8, 8:

Total number of possible outcomes for each digit: 10

Total number of favorable outcomes: \(\frac{4!}{2! * 2!}= \frac{4* 3 * 2 * 1}{2* 1 * 2 * 1} = \frac{24}{4} = 6\)

Probability of winning =\(\frac{6 }{10^4} = \frac{6}{10000} = 0.0006\)

d. Probability of winning if you select 7, 8, 8, 8:

Total number of possible outcomes for each digit: 10 Total number of favorable outcomes: \(\frac{4!}{3! * 1!}= \frac{4 * 3 * 2 * 1}{3 * 2 * 1 * 1} = 4\)

Probability of winning = \(\frac{4 }{10^4} = \frac{4}{10000 }= 0.0004\)

Therefore, the probabilities of winning for the given selections are: a. 0.0024 b. 0.0012 c. 0.0006 d. 0.0004

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Answer:

$60.48

Step-by-step explanation:

hope this helps!!

Answer:

57 is the answer

Step-by-step explanation:

Answer:

jhgydghv f yf

Step-by-step explanation:

A secant line is a line that intersects a circle in two different points. On the other hand, a chord is a segment whose endpoints lie on the circle.

To further discuss how a chord differs from a secant line, let's delve a bit deeper.

A chord is a line segment with endpoints that lie on the circumference of a circle. As an example, if line AB is drawn inside circle O, then AB is a chord.

A chord can be the diameter of the circle if it passes through the center.

A secant line is a line that intersects a circle at two different points. For example, when the line.

AB is drawn outside of circle O, it intersects the circle in two distinct points, C and D.

As a result, AB is a secant line.

Based on this explanation, it can be concluded that the difference between a chord and a secant line is that a chord is a line segment that connects two points on the circumference of a circle.

A secant line, on the other hand, is a line that intersects a circle in two different points.

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High-def television sets would probably be distributed using an intensive strategy. Therefore, option B. is correct.

Intensive distribution refers to a strategy where a product is made widely available through as many outlets as possible. This strategy is typically employed for products that have high demand, are low-cost, and require extensive market coverage. In the case of high-definition television sets, they are popular consumer electronics with a significant market demand.

To determine whether intensive distribution is suitable for high-def television sets, we consider the characteristics of the product. High-definition television sets are relatively low-cost compared to other options in the market, and they are in demand by a broad range of consumers. These factors suggest that an intensive distribution strategy would be appropriate for this product.

Based on the analysis, high-def television sets would most likely be distributed using an intensive strategy. This approach would ensure broad availability and accessibility for consumers, leveraging the product's popularity and fulfilling market demand. By making these television sets widely accessible through multiple outlets, manufacturers can reach a larger customer base, maximize sales potential, and effectively compete in the consumer electronics market.

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Answer:

2

Step-by-step explanation:

The K and N are the trapeziums and the two lines opposite to them go in a parallel line

The distance of Main Street is given by the equation D = 319.25 feet

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the distance of Main Street be D

Now , let the triangle be represented as ΔABC

The base of the triangle BC = 300 feet

The hypotenuse of the triangle AC = distance between First avenue and Canal street

The measure of angle ∠BAC = 70°

From the trigonometric relations , we get

sin θ = opposite / hypotenuse

Substituting the values in the equation , we get

sin 70° = 300 / D

Multiply by D on both sides of the equation , we get

D ( sin 70° ) = 300

Divide by sin 70° on both sides , we get

D = 300 / ( sin 70° )

On further simplification , we get

D = 300 / 0.939692

D = 319.2535

D = 319.25 feet

Hence , the distance is 319.25 feet

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Answer:

The second reason is incorrect.

It should be "Transitive Property of Congruence"

Answer:

Reason 2 ( got it correct on my test)

Step-by-step explanation:

The reason must justify its corresponding statement.

Answer:

a point in geometry is a location, has no size, no length, no depth. a point is shown like a dot.

a line : is a line of points that extents infinity in two direction, it has one dimension which is length ( tape)

a line segment : is a part of a line that defines by two points.( board game made of four line) segments

plane:A plane extends infinitely in two dimensions. It has no thickness( ceiling, roof of the house, sheet of paper)

an angle : an angle is the figure formed by two rays, ( example the edge of a table)

( you can add examples from your house)

Answer:

−19√2

Decimal Form:

−26.87005768…

Step-by-step explanation:

Answer:

[4, ∞)

Step-by-step explanation:

The range of a graph is the values of y for that graph.

We can see that the lowest y value of the graph occurs at the minimum, (0, -4). So the lower limit of the range is -4.

On the right side, the graph continues to reach upward indefinitely. That means that we can say that the upper limit of the range is infinity.

We can write this in different forms. I will write it here in interval notation:

[4, ∞)

The "[" signifies that the value of -4 is included in the range, and the ")" signifies that the range goes up to infinity.