At one family reunion, every niece was a cousin. Half of all aunts were cousins. Half of all cousins were nieces. There were 50 aunts and 30 nieces. No aunts were nieces. How many cousins were neither nieces nor aunts

Using translations, it is found that:

12. The representations are:

13. The representations are:

14. The coordinates are K(-5,0).

15. The coordinates are P(9,0).

A translation is when the graph of a function is moved either left, right, up or down.

The function keeps it congruence, orientation and inclination, the only change is in the position.

For item 12, we have that each vertex was moved:

Hence the coordinate rule is:

(x,y) -> (x + 4, y + 3).

The vector rule is:

(4,3).

For item 13, we have that each vertex was moved:

Hence the coordinate rule is:

(x,y) -> (x + 1, y - 7).

The vector rule is:

(1,-7).

For item 14, the rule is:

(x,y) -> (x - 3, y + 6).

After the translation, we have that K'(-8,6). Hence, applying the inverse translation, the original coordinates are as follows:

K(-8 + 3, 6 - 6) = K(-5,0).

For item 15, the rule is:

(x,y) -> (x - 8, y). -> due to the vector rule

After the translation, we have that P'(1,-2). Hence, applying the inverse translation, the original coordinates are as follows:

P(1 + 8, -2 + 0) = P(9,0).

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The reason why the following hypotheses are not constructed correctly is because of option B. The hypothesized value is not the same under the null and alternative hypotheses.

In hypothesis testing, the null hypothesis (H0) and the alternative hypothesis (HA) should have the same hypothesized value, but with opposite signs. In this case, the hypothesized value is 10, but the signs are not opposite. The null hypothesis has a less than or equal to sign (≤) and the alternative hypothesis has a greater than or equal to sign (≥). This means that there is overlap between the two hypotheses, which is not correct.

The correct way to construct the hypotheses would be:
H0: μ ≤ 10; HA: μ > 10
or
H0: μ ≥ 10; HA: μ < 10

Option A is incorrect because the alternative hypothesis can have the equality sign if the null hypothesis does not have it. Option C is also incorrect because hypothesis testing is about a population parameter, not a sample statistic.

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Answer:

A

Step-by-step explanation:

k=1 ,i THINK

The slope of the new road is zero.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

Take points from the Graph (5, 0) and (5, 4).

Slope of a line = m = tanθ

where θ is the angle made by the line with the x−axis.

For a line parallel to y−axis ,θ= π/2.

​

∴m = tan π/2 = undefined

The new road will therefore have 0° of inclination if it is perpendicular to D street because if they are perpendicular and D street is vertical, the new road is level and has 0° of inclination.

An horizontal line now has zero slope.

The new road has a zero slope as a result.

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Step-by-step explanation:

That means the 96 is  75% of your grade

   96 (.75) + 75 (.25) = 90.75  final grade

Answer:

56.35 ft^2, or 56 7/20 ft^2

Step-by-step explanation:

One way of doing this problem quickly is to convert both measurements into improper fractions before multiplying them:

9 4/5 = 49/5 and 5 3/4 = 23/4.

Then the area of the garden is 49/5 times 23/4, or 1127/20 ft^2, or

56.35 ft^2, or 56 7/20 ft^2.

The largest possible value in the list is 35.

What is mean, median and mode?

Adding the numbers together and dividing the result by the total number of numbers in the list yields the arithmetic mean. An average is most frequently used to refer to this. The middle value in a list that is arranged from smallest to greatest is called the median. The value that appears the most frequently on the list is the mode.

Given: There is a list of 11 positive integers.

Has a mean of 10, a median of 9 and a unique mode of 8.

Since the mode (8) is less than the median (9), the mode can only appear (at most) 5 times since the mode is the 6th number in the list (assuming the list has been sorted in ascending order).

If so, the first five numbers can be 8, the following four numbers can be 9, and the next greatest number can be 10, which means the largest number must be 110 - (8 x 5 + 4 x 9 + 10) = 110 - 86 = 24.

The largest number must be 110 - 77 = 33 if the mode repeats just twice, in which case we can let the first ten numbers be 1, 2, 3, 8, 8, 9, 10, 11, and 13, totaling 77.

The biggest number in this scenario is 110 - 75 = 35 if the mode repeats itself three times. Alternatively, we can let the first ten numbers be 1, 1, 8, 8, 8, 9, 10, 10, and 11 totaling 75.

Therefore, the largest possible value of an integer in the list is, 35.

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Answer:

the first one is when it's decreasing

a) , 36 : '22 in its simplest form is 18 : 11., d) the mean is 301.25.

a) To express 36 : '22 in its simplest form, we need to find the greatest common divisor (GCD) of 36 and 22. The GCD of 36 and 22 is 2. Divide both numbers by the GCD to simplify the fraction. 36 ÷ 2 = 18 and 22 ÷ 2 = 11. So, 36 : '22 in its simplest form is 18 : 11.

b) To express the fractions x 3 2 and I in equivalent fractions with a denominator of 20, we need to multiply the numerator and denominator by the same number. For x 3 2, multiply both the numerator and denominator by 10. This gives us x 3 2 = 10 x 3 2 ÷ 2 10 ÷ 2 = 15 1. For I, multiply both the numerator and denominator by 20. This gives us I = 1 x 20 2 x 20 = 20 40.

c) To evaluate Workout;+;—§, substitute the values into the expression: 2 + 5 - 4 ÷ 2. Start by performing the division: 4 ÷ 2 = 2. Then, perform the addition: 2 + 5 = 7. Finally, perform the subtraction: 7 - 2 = 5.

d) To find the mean of the dataset: 301, 285, 21, 351, 35, 2135, 311, 25, 45, 310, 301, 305, add up all the numbers and divide by the total number of values. Adding all the numbers together gives us 3615. Since there are 12 numbers in the dataset, the mean is 3615 ÷ 12 = 301.25. Rounded to two decimal places, the mean is 301.25.

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Waiting until later stages of data analysis before performing queries in the software program can result in inconsistencies in the results.

Data Analysis - Data analysis is the methodical application of logical and/or statistical approaches to describe and demonstrate, summarize and assess, and assess data.

The results of software program queries may be inconsistent if they are performed later in the data processing process.

Simply said, analysis includes describing the contents of the data, whereas interpretation entails giving that data meaning.

The steps of data analysis and interpretation are crucial. The researcher must both during the study procedure.

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Answer:

{y,x} = {5/3,1/2}

Step-by-step explanation:

To calculate the gain on the sale of the office furniture, we need to determine the asset's book value and compare it to the sale price.

First, let's calculate the accumulated depreciation on the furniture. The furniture was purchased on January 1, 2014, and the straight-line depreciation method is used over 10 years with a salvage value of $80,200.

Depreciation per year = (Cost - Salvage Value) / Useful Life

Depreciation per year = ($746,800 - $80,200) / 10 years

Depreciation per year = $66,160

Next, we need to calculate the accumulated depreciation for the period from January 1, 2014, to May 1, 2021 (the date of the sale). This is approximately 7.33 years.

Accumulated Depreciation = Depreciation per year × Years

Accumulated Depreciation = $66,160 × 7.33 years

Accumulated Depreciation = $484,444.80

Now, we can calculate the book value of the furniture:

Book Value = Cost - Accumulated Depreciation

Book Value = $746,800 - $484,444.80

Book Value = $262,355.20

Finally, we can calculate the gain on the sale:

Gain on Sale = Sale Price - Book Value

Gain on Sale = $300,000 - $262,355.20

Gain on Sale = $37,644.80

Therefore, the gain that should be recognized on the sale of the office furniture is approximately $37,644.80.

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The gain that should be recognized on the sale of the office furniture is $84,080.

The gain is calculated by subtracting the equipment's book value from the sale price. This gain will be reported on the company's income statement. Here is how to calculate the gain:First, find the equipment's book value using the straight-line method of depreciation.

Straight-line depreciation is calculated by taking the difference between the equipment's original cost and its salvage value, and then dividing it by the number of years the equipment is used. The annual depreciation expense is then multiplied by the number of years the equipment is used to find the equipment's book value at the end of its useful life.

For this question, the book value of the equipment at the time of sale is:Cost of equipment: $746,800Salvage value: $80,200Depreciable cost: $746,800 - $80,200 = $666,600Annual depreciation: $666,600 ÷ 10 years = $66,660Book value at the end of 2020: $666,600 - ($66,660 x 7) = $156,420

Next, subtract the equipment's book value from the sale price to find the gain:Sale price: $300,000Book value: $156,420Gain: $143,580Finally, round the gain to the nearest dollar:$143,580 ≈ $143,580.00So the gain that should be recognized on the sale of the office furniture is $84,080.

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Among 0.07 and 0.02, 0.07 is greater.

To determine which number is greater between 0.07 and 0.02, we compare the values of their decimal places. Both numbers have two decimal places. We start by comparing the digits in the first decimal place. In this case, 0.07 has a digit of 0 in the first decimal place, while 0.02 also has a digit of 0 in the same place. Since the digits are the same, we move on to the second decimal place.

Comparing the second decimal place, 0.07 has a digit of 7, whereas 0.02 has a digit of 2. Since 7 is greater than 2, we can conclude that 0.07 is greater than 0.02.

In decimal numbers, each decimal place has a different value, with the value decreasing from left to right. The first decimal place represents tenths, the second decimal place represents hundredths, and so on. Therefore, when comparing decimal numbers, it is important to consider the digits in each decimal place and determine which number has the larger digit in the leftmost differing place.

In this case, even though 0.07 and 0.02 both have the same digit in the first decimal place, the digit in the second decimal place of 0.07 is larger than that of 0.02, making 0.07 the greater number.

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The concentration at which the reaction rate is a maximum is x(t) = 4. To find the concentration at which the reaction rate is a maximum, we need to determine the critical points of the function x(t) using the given equation x'(t) = 0.3x(t)[4 - x(t)].

Step 1: Set the derivative x'(t) equal to zero to find the critical points.

0.3x(t)[4 - x(t)] = 0

Step 2: Identify the values of x(t) that satisfy this equation.

There are two possible solutions for x(t):

x(t) = 0 (When the concentration is zero, the reaction rate is also zero.)

4 - x(t) = 0

x(t) = 4

So, the critical points are x(t) = 0 and x(t) = 4.

Step 3: Analyze the critical points to determine the maximum.

To determine if the critical points correspond to a maximum or minimum, we need to evaluate the second derivative of x(t).

x''(t) = d²x(t)/dt² = 0.3[4 - 2x(t)] - 0.3x(t)(-2)

= 0.6 - 0.6x(t)

When x(t) = 0, x''(t) = 0.6 > 0, indicating a minimum point.

When x(t) = 4, x''(t) = 0.6 - 0.6(4) = -1.8 < 0, indicating a maximum point.

Therefore, the concentration at which the reaction rate is a maximum is x(t) = 4.

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The value of quadratic function is,

⇒ y = 9x² + 54x - 63

An algebraic equation with the second degree of the variable is called an Quadratic equation.

We have to given that;

The equation is,

⇒ y = 9 (x - 1) (x + 7)

Now, We can find the quadratic equation as;

⇒ y = 9 (x - 1) (x + 7)

⇒ y = 9 (x² + 7x - x - 7)

⇒ y = 9 (x² + 6x - 7)

⇒ y = 9x² + 54x - 63

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The answer is true because a parabola is made up of all points that are equally distant from a fixed point and a fixed line for a given fixed point and fixed line.

A bowl-shaped object is defined as having a curve at the surface created by the intersection of a cone and a plane that is perpendicular to a straight line. Another definition of a curve is one created when a moving point moves such that its distance from a fixed point equals its distance from a fixed line. A quadratic function is known in this form as its standard form.

The trajectory of a plane to a point equal in distance from the fixed time is called as parabola. The fixed point is called the focal point of the parabola and the line is called the alignment of the parabola.

Therefore, The answer is true because a parabola is made up of all points that are equally distant from a fixed point and a fixed line for a given fixed point and fixed line.

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The  probability that the website will fail within the next 24 hours (i.e., t = 1 day) is:

P(T <= 1) = 1 - e^(-λ) = 1 - e^(-1/3) ≈ 0.283

The model of website failures can be represented as a Poisson process, where the time between failures follows an exponential distribution with a rate parameter λ.

In this case, we are given that the website fails on average once every 3 days, which means that the rate parameter λ is equal to 1/3 failures per day.

Let T be the time of the failure. The probability that the website will fail within a time interval of length t is given by:

P(T <= t) = 1 - e^(-λt)

where e is the mathematical constant approximately equal to 2.71828.

For example, the probability that the website will fail within the next 24 hours (i.e., t = 1 day) is:

P(T <= 1) = 1 - e^(-λ) = 1 - e^(-1/3) ≈ 0.283

This means that there is a 28.3% chance that the website will fail within the next 24 hours.

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The definitional formula is easy to use when the mean is a whole number, the range of scores is small, and there are either relatively few scores or many of them are zero.

The definitional formula is an equation used to calculate the mean of a set of scores. It is easy to use when the mean of the scores is a whole number, meaning there is no need to round. Additionally, if the range of scores is small, it is easier to find the mean, as there is less data to consider. Furthermore, the formula is easier to use when there are either relatively few scores or many of them are zero. This is because there is less data to consider, meaning the mean can be found more quickly. When there are many scores, and the range is large, it can be difficult to calculate the mean using the definitional formula. In this case, it is often more efficient to use an alternate method such as the arithmetic mean.

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The complete question is

Under what circumstances is the definitional formula easy to use

-When the mean is a whole number and there are relatively few scores

-When the mean is a whole number and the range is small

-When the mean is a whole number and there are many scores

-When there are relatively few scores and many of them are zero

The frequency of A allele after a single generation of mutation can be found as follows: Frequency of A allele after a single generationp(A) = p(A) x (1 - m) + q(a) x m

where,
m = mutation rate = 10^-6p(A) = frequency of A allele in initial generation = 0.75q(a) = frequency of a allele in initial generation = 0.25Thus,p(A) = 0.75 x (1 - 10^-6) + 0.25 x 10^-6 = 0.74999925

And the frequency of a allele will beq(a) = 1 - p(A) = 1 - 0.74999925 = 0.25000075

Therefore, the frequency of the A and a alleles in the next generation will beA: 0.74999925 and a: 0.25000075.

This is option D.

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In this case, since we want the sample mean to be within 0.01 of the population mean, the margin of error is 0.01.

To determine the number of grade-point averages needed to have a sample mean within 0.01 of the population mean, we can use the formula for the margin of error. The margin of error is calculated by dividing the standard deviation of the population by the square root of the sample size, multiplied by a constant value.

To find the required sample size, we need to know the standard deviation of the population. However, since it is not provided, we cannot calculate the exact number of grade-point averages needed.
If you have the standard deviation of the population, you can use the following formula to calculate the sample size:
Sample size = (Z * standard deviation) / margin of error

Where Z is the constant value that corresponds to the desired level of confidence. For example, if you want a 95% confidence level, Z would be approximately 1.96.

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Therefore, the method (addition or subtraction) used to combine or separate the terms is the primary distinction between adding and subtracting linear expressions.

Another difference is that when we subtract linear expressions, we get a smaller expression, whereas when we add them, we get a larger one.

A mathematical expression that results from the linear combination of variables and constants is known as a linear expression.

Linear expressions can be combined or separated using two distinct operations: adding and subtracting.

By keeping the same variable while adding the coefficients (the numerical part) to linear expressions, like terms are combined. If we wanted to add 2x and 3x, for instance, we would get 5x.

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You can order 6 different one-topping pizzas. You can order 15 different one-topping pizzas.

What is the combination?

A combination is a method of selecting items from a collection where the order of selection is irrelevant.

The combination is defined as "an arrangement of objects in which the order in which the objects are chosen is unimportant." The combination means "selection of things," where the order is irrelevant.

The formula of combination is nCr = n!/[r!(n-r)!]

Where n is the total number of objects and r is the number of objects those are selected.

Case 1: one-topping pizzas

The number of different toppings is 6.

Selecting one topping is ₆C₁  = 6!/[1!5!] = 6

Case 2: two-topping pizzas

The number of different toppings is 6.

Selecting two topping is ₆C₂  = 6!/[2!4!] = 15

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a) The passage is a piece of written text that provides information about Makayla's experience during an Easter egg hunt. (option c)

(b) It also highlights how knowledge gained in the classroom can be applied to everyday life.

At the beginning of the passage, Makayla is getting ready to go on an Easter egg hunt. This is evident from the line "Makayla was getting ready for the Easter egg hunt at the park." Easter egg hunts are a popular tradition in many parts of the world, where children search for hidden eggs that are often filled with candy or small toys.

Hence the correct option is (c).

Throughout the story, Makayla remembers information that Mrs. Narula taught in class. Mrs. Narula is Makayla's science teacher, and the information she taught in class is about the process of photosynthesis. Photosynthesis is the process by which plants convert sunlight, water, and carbon dioxide into oxygen and sugar.

Makayla remembers this information as she observes the trees and plants in the park during the Easter egg hunt. She notes that the plants are producing oxygen through photosynthesis and that this process is essential for the survival of all living beings.

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The diameter when the weight of a diamond is 8.52824 carats is obtained as follows:

12 millimeters.

The function in this problem is defined as follows:

w = 0.00583d³ - 0.0125d² + 0.022d - 0.01.

The variables of the function are given as follows:

The weight in this problem is of 8.52824 carats, hence:

w = 8.52824.

Then the diameter d is obtained solving the cubic function as follows:

0.00583d³ - 0.0125d² + 0.022d - 0.01 = 8.52824

0.00583d³ - 0.0125d² + 0.022d - 8.53824 = 0.

The coefficients of the cubic function are given as follows:

a = 0.00583, b = -0.0125, c = 0.022, d = -8.53824.

Inserting these coefficients into a cubic equation calculator, the solutions are given as follows:

The domain of the function is composed by non-negative real numbers, as the diameter cannot be negative, hence the diameter is of 12 millimeters.

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Answer:

b should be 2/11

c should be 2/11 as well

Step-by-step explanation:

Used The Graph info

total spins 11

both are 2over9

Step-by-step explanation:

9 results 2 only

Answer:

25/100 = x/70

Step-by-step explanation:

Hope this helps!

Answer:

5i

Step-by-step explanation:

Combine like terms

(3+2-5) + (4i-3i-6i)

simplify

0+-5i

-5i

Answer:

7

Step-by-step explanation:

42/6=7

Distance from Y to Z is 10.4 km and Z to X is 20 km

Distance is a numerical measurement of how far apart objects or points are.

A triangle is a polygon with three edges and three vertices.

From the given data plot the graph,

Then,

∠XYZ=∠YZX=75 degrees

Therefore XY=XZ=20 km

\(YZ^{2}=20^{2} +20^{2} -2(20)(20)cos30\)

YZ=10.4 km

Hence, Distance from Y to Z is 10.4 km and Z to X is 20 km

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

x  - an integer

2x    - an even integer (the first and the smaller of the three)

Consecutive integers increase always by 2

2x+2    - next even integer consecutive to 2x (the middle one)

2x+2+2=2x+4    - the last consecutive even integer (the largest)

2•(2x+2)     -  twice the middle number

2x+2•(2x+2)  - the sum of the smallest number and twice the middle one

2x+4+20     -  20 more than the largest number

2x+2•(2x+2) = 2x+4+20

2x + 4x + 4 = 2x + 24

         -2x         -2x

       4x + 4  = 24

         ÷2          ÷2

       2x + 2 = 12            ← the middle number

           -2        -2

        2x = 10                  ← the smallest number

2x+4 = 10 + 4 = 14

Check:  10+2•12=34;   14+20=34