Consider transmitting 2100-MVA electric power across 30 km by using an overhead transmission line (OH) versus by using a GIL. The resulting power losses at peak load are 820 and 254 kW/km for the overhead transmission and the GIL, respectively. Assume that the annual load factor and the annual power loss factor are the same and are equal to 0.7 for both alternatives. Also, assume that the cost of electric energy is $0.10 per kWh. Determine the following (a) The power loss of the overhead line at peak load (b) The power loss of the GIL (c) The total annual energy loss of the overhead transmission line at peak load (d) The total annual energy loss of the gas insulated transmission line at peak load (e) The average energy loss of the overhead transmission line (f) The average energy loss of the GIL at peak load (g) The average annual cost of losses of the overhead transmission line (h) The average annual cost of losses of the GIL The annual resultant savings in losses using the GIL Find the breakeven (or payback) period when the gas-insulated line alternative is selected, if the investment cost of the gas-insulated line is $200,000,000

we have -4.5 + 4.4 + x = 0

<=> -0.1 + x = 0

<=> x = 0.1 ( P/s: x is the answer to fill in the blank )

Now look in the answer below we have :

+) A. -6.7 + 6.8 = 0.1 (S)

+) B. -6.7 +(-6.6) = -13.3 (NS)

+) C. 7.2 + (-7.2) = 0 (NS)

+) D. 7.2 + (-7.3) = -0.1 (NS)      ( P/s: NS : not selected , S : selected )

So A is the correct answer

Ok done. Thank to me :>

Answer:it is D

Step-by-step explanation:

Answer:

2.333

or

7/3

Step-by-step explanation:

7(1/3)

7/1 x 1/3+

7/3

A. The interval estimate is (0.02649%, 0.03531%).

B. We are 95% confident that the true percentage of cell phone users who develop cancer of the brain or nervous system falls within this range of values.

Part A: The interval estimate can be defined as a range of values that estimate the true population parameter.

The sample data represents a smaller section of the entire population. It is considered a sample and is used to represent the entire population. In order to calculate the interval estimate, the sample data is analyzed.

The interval estimate is then created to represent the true population parameter. The interval estimate provides a measure of confidence regarding the true population parameter.

The sample data from the study of 420.052 cell phone users found that 0.0309% of them developed cancer of the brain or nervous system.

This can be used to construct the interval estimate for the percentage of cell phone users who develop cancer of the brain or nervous system using a 95% confidence level.

To calculate the interval estimate, the following formula can be used:

p ± zα/2(√(p(1-p)/n))

where:

p = 0.000309

zα/2 = 1.96

n = 420,052

Plugging in the values, we get:

p ± zα/2(√(p(1-p)/n)) = 0.000309 ± 1.96 (√((0.000309*(10.000309))/420052)) = 0.000309 ± 0.0000441

So the 95% confidence interval estimate for the percentage of cell phone users who develop cancer of the brain or nervous system is:

0.000309 ± 0.0000441 = (0.0002649, 0.0003531)

Therefore, the interval estimate is (0.02649%, 0.03531%).

Part B: The interval estimate provides a range of values that estimate the true population parameter with a measure of confidence.

In this case, the interval estimate provides a range of values that estimate the percentage of cell phone users who develop cancer of the brain or nervous system with a 95% confidence level.

This means that we are 95% confident that the true percentage of cell phone users who develop cancer of the brain or nervous system falls within this range of values.

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Answer: C. 10

Step-by-step explanation:

Ms. Lewis is driving 50mph and is driving a distance of 900 miles. 900/50 is 18, making her total drive 18 hours long. She wants to bring her total driving time down by 3 hours, making it 15 hours. To solve this, divide 900 by 15 (900/15), and you'll get 60. Finally, subtract 60 and 50 (60 - 50), and your answer is 10. Hope this helps.

She should drive 10 miles faster to to reduce her total driving time by 3 hours.

Speed is defined as the distance covered per unit time taken.

Given is that Ms. Lewis plans to drive 900 miles to her vacation destination, driving an average of 50 miles per hour.

Initial time taken to cover the distance -

t{i} = 900/50 = 18 hr

For time taken to be (18 - 3)hrs or 15 hrs, we can write the speed as -

s{f} = 900/15

s{f} = 60 mph

Therefore, She should drive 10 miles faster to to reduce her total driving time by 3 hours.

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The question is incomplete. The complete question is :

A school in Delhi has its own flag, which is rectangular and divided into 4 rows and 6 columns. The word ‘SCHOOL’ is inscribed in the first row, ‘FLAG’ in the fourth row, and a  purple colored rhombus is in the middle, as shown in the given figure.

Based on this picture of the school flag, answer the following questions:  

(a) What fraction of the flag has the purple rhombus?

Solution :

From the figure, the total number of squares in the flag of 4 rows and 6 columns are : 4 x 6 = 24 blocks

The purple colored rhombus is made on the half of the 4 blocks.

i.e. \($\frac{1}{2} \times 4 = 2\ \text{blocks}$\)

Therefore, the fraction of the flag that has the purple rhombus is :

\($=\frac{2}{24}$\)

\($=\frac{1}{12}$\)

Answer:

Step-by-step explanation:

20:5=4 (minutes for 1 meter)

4*11=44 minutes for 11 meters

or

20 : 5 = x : 11

x = 20*11:5

x = 44

or

20:5* 11=44

Using the soil textural triangle and the example soil density gradient, we can determine the soil type depicted by analyzing the relative proportions of sand, silt, and clay in the soil sample.

The soil textural triangle is a graphical representation of soil types based on their percentages of sand, silt, and clay. By locating the point where the percentages of sand, silt, and clay intersect, we can identify the soil type.

The soil density gradient provides information about the distribution of particle sizes within the soil profile. It describes how the percentage of different-sized particles changes with depth. However, the specific values of the density gradient are not provided in the question.

To accurately determine the soil type depicted, we would need the exact values of sand, silt, and clay percentages as well as the density gradient information. Without this information, it is not possible to provide a definitive answer regarding the soil type.

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Answer:

\( \frac{y {}^{7} }{z {}^{6}x {}^{5} } \)

I hope it helps you

please mark brainliest

Answer:

second one

Step-by-step explanation:

it is the second one , it has three expression starts with 5

when n=0 :2n+5=2(0)+5=5

n=1 : 2n+5=7

n=2: 2n+5=4+5=9

n=3: 2n+5=11

Answer: B

Step-by-step explanation:

Answer:

A. 2 cm long

Step-by-step explanation:

The there would be more squares cut out, the squares are smaller and its all even

Answer:

Step-by-step explanation:

A)  4+15=19 total 2cm squares

B) 4 + 3 = 7 total 3cm squares

C) 1 + 2 = 3 total 4cm squares

In a unimodal, symmetrical distribution, the mean, median, and mode are the same. In a unimodal, symmetrical distribution, all three measures of central tendency—the mean, median, and mode—are identical and have the same value.

In a unimodal, symmetrical distribution, the data is centered around a single peak and exhibits symmetry, meaning that the left and right sides of the distribution mirror each other. This type of distribution is often referred to as a symmetric distribution. In such cases, the mean, median, and mode all coincide and have the same value. The mean of a distribution is calculated by summing all the data points and dividing by the total number of data points. In a symmetrical distribution, the values on both sides of the peak contribute equally to the mean, resulting in a balanced distribution. The median is the middle value of the data when it is arranged in ascending or descending order. In a symmetrical distribution, the median is located at the peak of the distribution since the left and right sides are mirror images. Therefore, the median is the same as the mean and mode. The mode represents the most frequently occurring value(s) in the distribution. In a symmetrical unimodal distribution, the peak occurs at the center, and since the distribution is symmetrical, there is only one mode, which is located at the peak. Consequently, the mode is also the same as the mean and median.

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The correct  X-value when the Z-value equals 2.15, with a mean of 36 and a standard deviation of 16, is 70.4.

To find the X-value corresponding to a given Z-value in a normal distribution, you can use the formula:

X = Z * σ + μ

Where X is the X-value, Z is the Z-value, σ is the standard deviation, and μ is the mean.

In this case, the Z-value is 2.15, the mean is 36, and the standard deviation is 16. Plugging these values into the formula, we get:

X = 2.15 * 16 + 36 = 70.4

Therefore, the X-value when the Z-value equals 2.15, with a mean of 36 and a standard deviation of 16, is 70.4.

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Approximating the sum of the series by the tenth partial sum, we have the following result:

∑ (n=1 to ∞) 1/n^5 ≈ s10 = 1/1^5 + 1/2^5 + 1/3^5 + ... + 1/10^5 ≈ 1/1 + 1/32 + 1/243 + ... + 1/100,000 ≈ 0.8413 (rounded to four decimal places).

In this approximation, we sum the reciprocals of the fifth powers of natural numbers from 1 to 10. The tenth partial sum, denoted as s10, represents the sum of the series up to the 10th term. By evaluating each term and adding them together, we obtain the approximate value of 0.8413. This approximation provides an estimation of the sum of the series while considering a finite number of terms, allowing for a simplified calculation of the overall sum.

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Approximating the sum of the series by the tenth partial sum, we have the following result:

∑ (n=1 to ∞) 1/n^5 ≈ s10 = 1/1^5 + 1/2^5 + 1/3^5 + ... + 1/10^5 ≈ 1/1 + 1/32 + 1/243 + ... + 1/100,000 ≈ 0.8413 (rounded to four decimal places).

In this approximation, we sum the reciprocals of the fifth powers of natural numbers from 1 to 10. The tenth partial sum, denoted as s10, represents the sum of the series up to the 10th term. By evaluating each term and adding them together, we obtain the approximate value of 0.8413. This approximation provides an estimation of the sum of the series while considering a finite number of terms, allowing for a simplified calculation of the overall sum.

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As x approaches 0, (5x⁴+8x²)/(3x⁴-16x²) is -1/2.

What is L'Hopital's rule?

L'Hopital's rule which states that if the limit of a function f(x)/g(x) as x approaches a is of the form 0/0 or ∞/∞, then the limit is equal to the limit of the derivative of f(x) divided by the derivative of g(x) as x approaches a.

Here given expression is (5x⁴+8x²)/(3x⁴-16x²)

Here we want to find limit of the function (5x⁴+8x²)/(3x⁴-16x²) as x approaches 0.

Applying L'Hopital's rule,

(20x³+16x)/(12x³-32x)

Now, as x approaches 0, we can evaluate the limit by plugging in x=0 in the above expression. However, plugging in x=0 results in a denominator of 0, which is undefined. This suggests that we should simplify the expression further.

We can factor out x from the numerator and denominator to get:

(5x²+8)/(3x²-16)

Now, plugging in x=0 gives us:

(5(0)²+8)/(3(0)²-16) = 8/-16 = -1/2

So, as x approaches 0, (5x⁴+8x²)/(3x⁴-16x²) approaches -1/2.

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The probability that the mean of the sample of 68 computers would differ from the population mean by less than 2.08 months os 0.9146

Given, the quality control manager at a computer manufacturing company believes that the mean life of a computer is 91 months.

standard deviation of 10 months

what is the probability that the mean of a sample of 68 computers would differ from the population mean by less than 2.08 months = ?

From the statements we know:

Population mean µ = 91

Sample mean = 2.08

standard deviation = 10

sample size = 68

Generally the Probability that The  sample mean  would differ from the population mean

P ( sample mean-µ < 2.08)

from the table

P(I sample mean - µ I )= P(IzI < 1.72)

T test

Z = sample mean - µ/√n

Z = 2.08/10/√68

Z = 1.72

P ( I sample mean /µ I < 2.08) = P(IZI < 1.72)

P(-1.72 < Z < 1.72)

Therefore from the table

P (-1.72 < Z < 1.72) = 0.9146

Hence we get the required answer.

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Answer:2(x+1/2x)+3=105

Step-by-step explanation: that is how i got my answer. If not a similar answer i would go with 2x+3=3x+105.

You can automatically eliminate the first answer. The second one has a random 5, so eliminated. and the last one just isn't correct.

Answer:

the answer is \(12^{4}\)

Step-by-step explanation:

basically how many there are, you just put that in the top right

Answer:

20,736

Step-by-step explanation:

12x12x12x12

= 12^4

=20,736

Answer:

3

Step-by-step explanation:

Question:Two families went to a baseball game. The first family bought 5 pretzels and 4 sodas, which totaled $22. The second family bought 6 pretzels and 6 sodas, which totaled $30. How much did one soda cost? 

first family bout 5 PRETZELS  and 4 SODAS and the second family bought 6 PRETZELS and 6 SODAS
So immanently 5 is wrong because that would be too much and not fit the amount that the families spent
4 is also incorrect because the price is not reasonable it’s to high and out of budget for both of the families

3 is the only right answer also 2 is wrong (wrote this in rush)

Answer:

7:9

Step-by-step explanation:

The basic ratio is 63:81 but to simplify this ratio you can simplify each number as a multiplication of its factors.

63=3*3*7

81=3*3*3*3

Now find the factors they have in common and get rid of them.

63=3*3*7

81=3*3*3*3

The numbers in bold are all the factors that they have in common.

You can cancel these numbers out.

Now the remaining numbers you can put into a ratio in the same order

7:3*3

7:9

Answer:

please be more specific

Step-by-step explanation:

none

The scientific notation of the given numbers are:

a. 1,000,000 - 1 x \(10^{6}\)

b. .00005 - 5 x \(10^{-5}\)

c. 40 thousand- 4 x \(10^{4}\)

d. 7 trillion - 7 x \(10^{12}\)

e. 8 thousandths -   8 x \(10^{-3}\)

f. one-tenth - 1 x \(10^{-1}\)

We are given the following:

- 1,000,000

- 0.00005

-  40 thousand

-  7 trillion

-  8 thousandths

- one tenth

We will write the following above in scientific notation.

It is a form of presenting very large numbers in a simpler form.

We have to make the number in a form of multiplication of single-digit and 10 raised to a power of a positive integer.

- 1000000

In scientific notation = 1 x \(10^{6}\)

- 0.00005

In scientific notation = 5 x \(10^{-5}\)

- 40 thousand = 40,000

In scientific notation = 4 x \(10^{4}\)

- 7 trillion

= 7,000,000,000,000

In scientific notation = 7 x \(10^{12}\)

- 8 thousandths

It is in decimal place so we have 0.008.

In scientific notation =  8 x \(10^{-3}\)

-one-tenth

It means one out of 10 parts.

= 1 / 10

= 0.1

In scientific notation = 1 x \(10^{-1}\)

The scientific notation of the given numbers are:

a. 1,000,000 - 1 x \(10^{6}\)

b. .00005 - 5 x \(10^{-5}\)

c. 40 thousand- 4 x \(10^{4}\)

d. 7 trillion - 7 x \(10^{12}\)

e. 8 thousandths -   8 x \(10^{-3}\)

f. one-tenth - 1 x \(10^{-1}\)

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The angles and length of the right triangle are as follows:

WX = 10√141 units

m∠X  = 30°

m∠V = 60°

A right angle triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a right angle triangle is 180 degrees.

Trigonometric ratios can be used to find the side and angles of the right triangle as follows;

Therefore,

Using Pythagoras's theorem,

WX² = (20√47)² - (10√47)²

WX² = 400(47) - 100(47)

WX² = 18800 - 4700

WX = √14100

WX = 10√141

Let's find the angles

sin m∠X  = opposite / hypotenuse

sin m∠X  = 10√47 / 20√47

sin m∠X  = 1 / 2

m∠X  = sin⁻¹ 0.5

m∠X  = 30 degrees

Therefore,

m∠V = 180 - 90 - 30

m∠V = 60 degrees

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Answer:

3 miles

Step-by-step explanation:

1/8*24=3

Answer:

Step-by-step explanation:

He ran 24 times around the track1

Circumfrence of track=1/8 Mile

Total distance he covered=1/8*24

Distance = 3 miles

Answer:

To add these fractions, we need to find a common denominator. The least common multiple of 3, 5, and 6 is 30, so we can convert each fraction to an equivalent fraction with a denominator of 30:

7/3 = 70/30

21/5 = 126/30

7/6 = 35/30

Now we can add the fractions:

7/3 + 21/5 + 7/6 = 70/30 + 126/30 + 35/30

Combining the numerators, we get:

= (70 + 126 + 35) / 30

= 231 / 30

Simplifying this fraction by dividing the numerator and denominator by their greatest common factor, which is 3, we get:

= 77 / 10

Therefore, the sum of the fractions 7/3, 21/5, and 7/6 is equal to 77/10.

Answer:

6%

Step-by-step explanation:

The average rate is approximately 2%

The formula for calculating the average rate of return under continuous compounding is expressed as \(A=Pe^{rt\)

Given the following parameters

\(P = \$50,000\)

A = $175,222.57

t = 20 years

Substitute the given parameters into the formula to get the rat\(175,222.57 = 5000e^{20r}\\e^{20r}=\frac{175,222.57.}{5000}\\e^{20r}= 35.155514\\lne^{2r}=ln 35.155514\\2r = 3.5597\\r = 3.5597/2\\r =1.779 \%\)

Hence the average rate is approximately 2%

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Answer:

40%

Step-by-step explanation:

In order to turn a fraction into a decimal or percentage, you need to make the denominator 100. In this case you just need to multiply the numerator and denominator by 20:

2/5 --> 2*20/5*20 --> 40/100

So, it is 40%. Though if you want to turn ANY fraction (specifically fractions with hard to multiply denominators) into a percentage, just follow this rule:

(100n/d)%

The 2/5 is equivalent to 40%.

To calculate what percent is equivalent to 2/5, we can use the formula:

Percent = (Part / Whole) * 100

In this case, the part is 2 and the whole is 5.

Percent = (2 / 5) * 100

Now, perform the division:

Percent = 0.4 * 100

To find the percentage, multiply 0.4 by 100:

Percent = 40%

Therefore, 2/5 is equivalent to 40%. To understand this better, consider that 2 out of 5 parts is 40% of the whole. The percentage represents the proportion of the part (2) in relation to the whole (5) expressed as a fraction of 100. In this scenario, 2/5 is equivalent to 40%, indicating that 40% of the whole is represented by the fraction 2/5.

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