Which of the following demonstrates the identity property?
A. ef •1=1 • ef
B. ef = 1 •ef
C. ef = 0 • ef
D.ef +1 = ef​

Answer: 111

Step-by-step explanation: because you add and add and you get your answer

Answer:

The answer should be 61

Step-by-step explanation:

I hope this helps! let me know if I am wrong

This statement is false. In a weighted, connected graph with edge weights not necessarily distinct, if one Minimum Spanning Tree (MST) has k edges of a certain weight w, it is not guaranteed that any other MST must also have exactly k edges of weight w.

1. In a weighted graph, each edge has a weight (or cost) associated with it.
2. A connected graph means there is a path between any pair of vertices.
3. An MST is a subgraph that connects all the vertices in the graph, without any cycles, and with the minimum possible total edge weight.

However, there can be multiple MSTs for a given graph, and their edge weights distribution might not be the same. This is because MSTs are primarily focused on minimizing the total weight, not necessarily preserving the number of edges with a specific weight. Different MSTs may use different sets of edges to achieve the minimum total weight, so they might not have the exact same count of edges with weight w.

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Answer:

1. whole number 2. rational number 3. integer

Step-by-step explanation:

Answer:

6 = natural and whole

1/64 = rational

-2 = integer

Step-by-step explanation:

Answer:

56a+40b

Step-by-step explanation:

43a plus 13a is 56a, -12b + 52b is 40b, together it's 56a+40b

the second one √72= 8.48 and the square root of √83=9.11 pi^2 = 9.86

when you put this in order by the decimal you get

8.48, 8.7, 9.11, 9.25, 9.86 which is really √72, 8.7, √83, 9.25, pi^2

The confidence interval is given by: Confidence Interval = p-hat ± E

The critical value for a 95% confidence level is approximately 1.96 for a large sample.

To compute a confidence interval for the proportion of all x-ray machines that malfunction, we need to know the sample size and the number of machines in the sample that malfunctioned. Let's denote the sample size as n and the number of malfunctioning machines in the sample as x.

The proportion of malfunctioning machines in the sample, denoted by p-hat, is calculated as:

p-hat = x / n

To estimate the confidence interval, we need to determine the confidence level. Let's assume a 95% confidence level, which is a common choice. The corresponding critical value for a 95% confidence level is approximately 1.96 for a large sample.

The margin of error (E) is computed as:

E = critical value × √((p-hat × (1 - p-hat)) / n)

Finally, the confidence interval is given by:

Confidence Interval = p-hat ± E

Now, let's calculate the lower and upper limits of the confidence interval based on the provided information. If you can provide the sample size and the number of malfunctioning machines in the sample, we can proceed with the calculations.

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We have a loan of 65 days.

The principal is $1250 and the interest is $7.75.

We have to find the annual simple interest rate.

We can express the interest of a loan of this type as:

where r = annual interest rate, t = period of the loan in days, I = interest and P = principal.

Then, we can rearrange the equation and replace with the values:

Answer: the annual simple interest rate is 3.4%.

Answer:

\(5 \sqrt{5} - 2 \sqrt{5} = 3 \sqrt{5} \\ 8 \sqrt{7} + 3 \sqrt{7} = 11 \sqrt{7} \)

hope this helps.

Answer:

\(11 \sqrt{7} \)

Step-by-step explanation:

\(8 \sqrt{7} + 3 \sqrt{7} \)

\( \sqrt{7} (8 + 3) \)

\(11 \sqrt{7} \)

Answer:

A=wl

Step-by-step explanation:

with x linth = area

Answer:

area of rectangle=lxb

Step-by-step explanation:

using the formula

Answer:

the ratio is 17/323 equals 19, therefore there would be 19 players per team.

Answer:

x 0 1 2

y -3,-1,1

Step-by-step explanation:

Answer:

A.32.10

Step-by-step explanation:

You have to remember to subtract the $35 then start to figure out how much he paid every month for a year.

The approximate y-intercept of the line of best fit given by a regression calculator is around 7.48 (rounded to two decimal places).

In mathematics, a line is a straight, one-dimensional figure that extends infinitely in both directions. It can be thought of as a series of points that are all in a straight line. A line can be described by its slope-intercept form equation, y = mx + b, where m is the slope of the line and b is the y-intercept. The slope of a line represents its steepness or inclination, and is defined as the change in y divided by the change in x between any two points on the line. If the slope is positive, the line goes uphill as it moves from left to right; if the slope is negative, the line goes downhill as it moves from left to right. If the slope is zero, the line is horizontal. The y-intercept of a line is the point where the line crosses the y-axis, or the value of y when x equals zero. It is often denoted as (0,b) in coordinate notation. Lines can be used to represent many real-world situations, such as the trajectory of a moving object, the trend of data over time, or the relationship between two variables in a mathematical model. They are a fundamental concept in geometry and algebra, and have many applications in science, engineering, and other fields.

Here,

A: Based on the scatterplot, the approximate slope of the line of best fit given by a regression calculator is around 0.93 (rounded to two decimal places).

B: Using the line of best fit, we can estimate the distance traveled after 70 minutes by plugging in x = 70 into the equation of the line and solving for y. From the scatterplot, we can see that the point (70, approximately 76) is close to the line of best fit. Therefore, the approximate distance traveled after 70 minutes is 76 miles.

C: The equation for the line of best fit given by the regression calculator is y ≈ 0.93x + 7.48 (rounded to two decimal places). This equation is in slope-intercept form, where the slope is approximately 0.93 and the y-intercept is approximately 7.48.

D: The approximate y-intercept of the line of best fit given by a regression calculator is around 7.48 (rounded to two decimal places). This represents the estimated distance traveled when the time is zero. However, since the time in this case cannot be zero (it starts at 11 minutes), this value may not have any practical significance.

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To determine whether to reject or fail to reject the null hypothesis, we typically rely on statistical hypothesis testing. After conducting a hypothesis test, we consider the test statistic and the corresponding p-value.

When the p-value is less than or equal to the predetermined significance level (usually denoted as α), we reject the null hypothesis. This indicates that the observed data provides sufficient evidence to support the alternative hypothesis. Conversely, when the p-value is greater than the significance level, we fail to reject the null hypothesis. In this case, we do not have enough evidence to support the alternative hypothesis.

The significance level α is predetermined and represents the probability of making a Type I error, which is the rejection of the null hypothesis when it is actually true. Commonly used significance levels include 0.05 (5%) and 0.01 (1%). The choice of the significance level depends on the specific research context and the consequences of making a Type I error.

It is important to note that failing to reject the null hypothesis does not necessarily mean that the null hypothesis is true. It simply means that the observed data does not provide enough evidence to support the alternative hypothesis. There could still be other factors or limitations in the study that contribute to the lack of significant results.

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Answer:

18 3/4

Step-by-step explanation:

Answer:

18 3/4 or 75/4

Step-by-step explanation:

Answer:

none of these are correct

Answer:

Step-by-step explanation:

You can find this answer by simply doing the reverse of the Pythagorean Theorem. The formula for Pythagorean Theorem is a^2+b^2=c^2, so the reverse would be b^2=c^2-a^2. All we have to do is substitute in the numbers and solve.

b^2=c^2-a^2

b^2=36^2-32^2

b^2=272

sqrt(b^2) sqrt(272)

b=16.492

Since we are rounding to the nearest tenth, our answer will be 16.5 meters.

To calculate the probability that at least two people in a class of 30 share the same birthday, we can use the complement rule, which states that the probability of an event happening is equal to one minus the probability of the event not happening.

If we assume that birthdays are uniformly distributed throughout the year (i.e., each day is equally likely to be someone's birthday), then the probability that no two people in the class share the same birthday is:

365/365 * 364/365 * 363/365 * ... * 336/365

This is because the first person can have any birthday (probability of 365/365), the second person must have a different birthday (probability of 364/365), the third person must have a different birthday than the first two (probability of 363/365), and so on, up to the 30th person, who must have a different birthday than the first 29 (probability of 336/365).

Calculating this probability gives us:

(365/365) * (364/365) * (363/365) * ... * (336/365) ≈ 0.2937

So the probability that no two people in the class share the same birthday is approximately 0.2937.

Using the complement rule, the probability that at least two people in the class share the same birthday is:

1 - 0.2937 = 0.7063

Therefore, the probability that at least two people in a class of 30 share the same birthday is approximately 0.7063, or 70.63%.

The sample mean of the observations is 19.25 and the standard deviation is 2.15

Sample mean is found by adding up all the individual values of the sample, then dividing by the total number of values in the sample.  

Sample standard deviation is the square root of the variance

mean = (23 + 25 + 16 + 20 + 13 + 10 + 28 + 19)/8

mean = 19.25

variance = (x₁ - mean)²/n(n-1)

variance = ((23 - 19.25)² + (25 - 19.25)² + (16 - 19.25)² + (20 - 19.25)² + (13 - 19.25)² + (10 - 19.25)² + (28 - 19.25)² + (19 - 19.25)²)/(8(7))

variance = 259.5/56

variance = 4.63

Standard deviation = √variance = √4.63 = 2.15

Therefore, the sample mean of the observations is 19.25 and the standard deviation is 2.15

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Answer:

6

Step-by-step explanation:

Since, Marie is sailing in the direction s11 degrees west. after 10 hours, Marie was 4 miles due west of Frank. Therefore, Marie had sallied in the 38.6 miles

Given that

Frank is sailing in the direction s3 degrees east

Marie is sailing in the direction s11 degrees west

after 10 hours, Marie was 4 miles due west of frank.

Direction is the information contained in the relative position of one point with respect to another point without the distance information. Directions may be either relative to some indicated reference or absolute according to some previously agreed upon frame of reference.

Cardinal directions

The four cardinal directions or cardinal points are:

1.North

2.East

3.South

4.West

Draw 2 right triangles representing bearings. Triangles share the same south leg, y. Horizontal sides sum to 10 miles. X f +X m=10

Y tan(2)+Y tan(13)=10

Y=10/(tan(2)+tan(13))=37.62

Lm = distance traveled by Marie

cos(13)=Y/Lm

Lm=Y/cos(13) = 37.62/cos(13) = 38.6 miles.

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Answer:

slope = - 2

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 2, 5) and (x₂, y₂ ) = (3, - 5)

m = \(\frac{-5-5}{3-(-2)}\) = \(\frac{-10}{3+2}\) = \(\frac{-10}{5}\) = - 2

The factor of a given number refers to those numbers that can divide the given number without a remainder

The factors of 120 therefore are,

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20,24, 30, 40, 60, 120

Spherical harmonics are an integral part of quantum mechanics. They describe the shape of the orbitals, which electrons occupy in atoms. Moreover, the spherical harmonics provide the angular distribution of a wave in spherical coordinates. In 3D, the spherical harmonics can be written as:

Ylm(θ, φ) = √(2l + 1)/(4π) * √[(l - m)!/(l + m)!] * Plm(cosθ) * e^(imφ)

Here, l and m are known as the angular quantum numbers. They define the shape and orientation of the orbital. Plm(cosθ) represents the associated Legendre polynomial, and e^(imφ) is the exponential function. The spherical harmonics have various forms, including:

Y1,1 = -Y1,-1 = 1/2 √(3/2π) sinθe^(iφ)

Y1,0 = 1/2 √(3/π)cosθ

Y2,2 = 1/4 √(15/2π)sin²θe^(2iφ)

Y2,1 = -Y2,-1 = 1/2 √(15/2π)sinθcosφ

Y2,0 = 1/4 √(5/π)(3cos²θ-1)

Y0,0 = 1/√(4π)

The spherical harmonics have various applications in physics, including quantum mechanics, electrodynamics, and acoustics. They play a crucial role in understanding the symmetry of various systems. Hence, the spherical harmonics are an essential mathematical tool in modern physics. Thus, this is how one can show another form for spherical harmonics.

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Answer:

x = - 2 , x = 4

Step-by-step explanation:

Calculate the distance PQ using the distance formula and equate to 5

d = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)

with (x₁, y₁ ) = P (1, 3) and (x₂, y₂ ) = Q (x, 7 )

PQ = \(\sqrt{(x-1)^2+(7-3)^2}\) = \(\sqrt{(x-1)^2+4^2}\) = \(\sqrt{(x-1)^2+16}\) , then

\(\sqrt{(x-1)^2+16}\) = 5 ( square both sides )

(x - 1)² + 16 = 25 ( subtract 16 from both sides )

(x - 1)² = 9 ( take square root of both sides )

x - 1 = ± \(\sqrt{9}\) = ± 3 ( add 1 to both sides )

x = 1 ± 3

Then

x = 1 - 3 = - 2 , or

x = 1 + 3 = 4

The proportion of scores in a standard Normal Distribution that are greater than 1.25 is closest to a. a is 0.1056.

The proportion of scores in a standard Normal Distribution that are greater than 1.25 is:

\(P(Z > 1.25) = 1 - P(Z < 1.25)\)

Using a standard normal distribution table or a calculator.

The area to the left of 1.25 is 0.8944, so:

\(P(Z > 1.25) = 1 - P(Z < 1.25) = 1 - 0.8944 = 0.1056\)

The closest answer choice is (a) 0.1056.

The percentage of scores in a normal distribution with a standard deviation larger than 1.25 is:

either a calculator or a normal distribution standard table.

0.8944 is the region to the left of 1.25, so:

The nearest possible response is (a) 0.1056.

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The total change in the consumed quantity of x₁ as per given price and income  is equal to 213.

x₁ = (21/7)P₁

x₂ = (51/7)P₂

P₁ = 10

P₂ = 5

P₁' = 81

To calculate the total change in the quantity consumed of x₁ when the price of P₁ changes from P₁ to P₁',

The difference between the quantities consumed at the original price and the new price.

Let's calculate the quantity consumed at the original price,

x₁ orig

= (21/7)P₁

= (21/7) × 10

= 30

x₂ orig

= (51/7)P₂

= (51/7) × 5

= 36.4286 (approximated to 4 decimal places)

Now, let's calculate the quantity consumed at the new price,

x₁ new

= (21/7)P1'

= (21/7) × 81

= 243

x₂ new

= (51/7)P2

= (51/7) × 5

= 36.4286

The total change in the quantity consumed of x₁ can be calculated as the difference between the new quantity and the original quantity,

Change in x₁

= x₁ new - x₁ original

= 243 - 30

= 213

Therefore, the total change in the quantity consumed of x₁ is 213.

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The above question is incomplete, the complete question is:

The optimal amount of x1, x2, P1, P2 and income are given by the following:

x1= 21/ 7p1 x2= 51 / 7p2

The original prices are: P1=10 P2=5 The original income is: I =4189 The new price of P1 is the following: P1'=81 Assume that the price of x1 has changed from P1 to P1'. What is the total change in the quantity consumed of x1?

Please answer step by step

2820

Step-by-step explanation: