Solve the linear congruence 2x + 6 = 4(mod 8).

The apparent capacity of a glass vessel refers to its perceived size or volume based on external dimensions, while the actual capacity represents the true volume of the vessel, taking into account both interior and exterior dimensions.

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♥️ [tex]\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}[/tex]

Answer:

Length x Breadth

Step-by-step explanation:

Answer:

The rate of change or slope is 2

Step-by-step explanation:

Rise over run 2/1

Answer:

1.

Mean:22

Median: 19.5

Mode:12

Range:26

2.

Mean: 21.143

Median: 16

Mode: 5

Range: 43

3.

Mean: 38.5

Median: 37.5

Mode: 13 , 34, 41

Range: 56

4.

Mean: 73.167

Median: 78.5

Mode: 85

Range : 47

5.

Mean: 58.75

Median: 63

Mode: 63

Range : 70

6.

Mean: 68.714

Median: 74

Mode: 74

Range: 57

7.

Mean: 48

47.5

72

66

8.

59.625

61

90

79

9.

31.571

32

46

34

10.

42.111

40

51

51

The correct hypotheses to test is (f) H₀ : μ₁ = μ₂; H₁ : μ₁ < μ₂

The test statistic is undefined

The critical value at α = 0.01 is 2.58

From the question, we have the following parameters that can be used in our computation:

Mean time served for fraud is less than that for firearms offenses

This means that the hypotheses to test are

H₀ : μ₁ = μ₂

H₁ : μ₁ < μ₂

This is represented with option (f)

The test statistic can be calculated using

z = (x₁/n₁ - x₂/n₂)/√[p(1 - p)/n₁ + p(1 - p)/n₂)

Where p = pooled sample proportion

and p = (x₁ + x₂)/(n₁ + n₂)

The required values are not given

So, the test statistic is undefined

Given that

α = 1%

This means that

α = 0.01

The critical value at α = 0.01 is 2.58

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Answer:12 : 6 22 : 11 32 : 16

Step-by-step explanation:

Answer:

4:2

Step-by-step explanation:

The first 4-terms of sequence {aₙ} defined by recurrence-relation : aₙ₊₁ = 2aₙ²-1;  a₁ = 0 are 0, -1, 1 and 1.

To find the first four terms of the sequence {aₙ} defined by the recurrence relation aₙ₊₁ = 2aₙ² - 1, with the initial-condition a₁ = 0, we apply the recurrence relation,

Starting with a₁ = 0, we can find the subsequent terms as follows:

⇒ a₂ = 2a₁² - 1 = 2(0)² - 1 = -1

⇒ a₃ = 2a₂² - 1 = 2(-1)² - 1 = 1

⇒ a₄ = 2a₃² - 1 = 2(1)² - 1 = 1

Therefore, the first four terms of the sequence are : a₁ = 0, a₂ = -1, a₃ = 1

and a₄ = 1.

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The given question is incomplete, the complete question is

Write the first four terms of the sequence {aₙ} defined by the following recurrence relation.

aₙ₊₁ = 2aₙ²-1;  a₁ = 0.

Answer:

72[tex]\sqrt{3}[/tex]

Step-by-step explanation:

The area (A) of a rhombus is calculated as

A = [tex]\frac{1}{2}[/tex] × d₁ × d₂ (d₁ and d₂ are the diagonals )

The diagonals bisect each other at right angles

d₁ = 2 × 6 = 12

Use the tangent ration in the upper left right triangle and the exact value

tan60° = [tex]\sqrt{3}[/tex]

tan60° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{opp}{6}[/tex] = [tex]\sqrt{3}[/tex] ( multiply both sides by 6 )

opp = 6[tex]\sqrt{3}[/tex] , then

d₂ = 2 × 6[tex]\sqrt{3}[/tex] = 12[tex]\sqrt{3}[/tex]

Thus

A = [tex]\frac{1}{2}[/tex] × 12 × 12[tex]\sqrt{3}[/tex] = 6 × 12[tex]\sqrt{3}[/tex] = 72[tex]\sqrt{3}[/tex]

Answer:

E. 16

Step-by-step explanation:

Easy:

Formula: P=2(l+w)

Plug in and solve:

P=2(3+5)

P = 16 (Option E is correct)

Answer:

The answer is 32 inches

65 - 33 = 32

a) The equation to estimate the amount of bacteria in the dish after every day is N = 90t + 210.

b) The coefficient is 90, indicating that the bacteria is growing at a rate of 90 per day.

c) It would take approximately 11.32 days for the bacteria to reach almost 1229.

d) Average rate of change = (N₂ - 300) / (6 - 1)

a) Let's denote the number of bacteria in the dish after a certain number of days as N. We can create an equation to estimate the amount of bacteria in the dish after every day based on the given information.

On the first day, the initial number of bacteria is 300. After 2 days, the number of bacteria is approximately 480. This gives us two data points: (1, 300) and (3, 480).

To find the equation for estimating the number of bacteria, we can use the two-point form of the linear equation:

N - 300 = ((480 - 300) / (3 - 1))(t - 1)

Simplifying the equation, we get:

N = 90t + 210

Therefore, the equation to estimate the amount of bacteria in the dish after every day is N = 90t + 210.

b) The rate at which the bacteria is growing can be determined from the coefficient of t in the equation. In this case, the coefficient is 90, indicating that the bacteria is growing at a rate of 90 per day.

c) We can use the equation N = 90t + 210 to find the number of days it would take for the bacteria to reach almost 1229. We substitute N = 1229 into the equation and solve for t:

1229 = 90t + 210

1019 = 90t

t ≈ 11.32

Therefore, it would take approximately 11.32 days for the bacteria to reach almost 1229.

d) To find the average rate of change between 6 days and the first day, we need to calculate the change in the number of bacteria divided by the change in time:

Average rate of change = (N₂ - N₁) / (t₂ - t₁)

Here, N₁ is the number of bacteria on the first day (300), t₁ is the first day (1), N₂ is the number of bacteria on the sixth day, and t₂ is the sixth day.

Substituting the values into the formula, we get:

Average rate of change = (N₂ - 300) / (6 - 1)

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The answer should be 10

Answer:

14.4in so your radius is your third answer

Answer:

[tex] \sqrt{12a \: + \: 12b \: - \: 2ab \: + \: 2b {}^{2} } [/tex]

Step-by-step explanation:

(a²-b²) / (a+b) = 12

a² - b² = 12(a+b)

(a-b)² + 2ab - 2b² = 12a + 12b

(a-b)² = 12a + 12b - 2ab + 2b²

a - b =

[tex] \sqrt{12a \: + 12b \: - 2ab \: + \: 2b {}^{2} } [/tex]

Answer:

1

best answer ever be amazing

The median cost of the books is $6.

To find the median, we first arrange the costs of the books in ascending order: $2, $4, $4, $5, $6, $7, $8, $8, $8. Next, we determine the middle value. Since there are nine values, the middle value is the fifth one, which is $6. Therefore, the median cost of the books is $6.

The median is a statistical measure that represents the middle value of a dataset when it is arranged in ascending or descending order. It is useful in situations where there are outliers or extreme values that could skew the average. By using the median, we can get a better representation of the typical value in the dataset.

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Option A is correct.The equation for the parabola is A.(x - 3)^2 = 2(y - 2.5)

The equation for a parabola with a focus (h, k) and a directrix y = a can be expressed as:

(x - h)^2 = 4a(y - k)

The focus is (3, 4) and the directrix is y = 2, we can substitute these values into the equation:

(x - 3)^2 = 4(2)(y - 4)

Simplifying:

(x - 3)^2 = 8(y - 4)

The correct equation for the parabola is:

(x - 3)^2 = 8(y - 4)

Therefore, the answer is option A. (x - 3)^2 = 2(y - 2.5)

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Answer: JH = 9 sin(35)

not sure about GH...

Step-by-step explanation:

The ratio of opposite side of the triangle hypotenuse side of triangle is equal to sine of angle.

The expression required to fine the length of GJ is,

[tex]\sin 35=\dfrac{GJ}{9}\\[/tex]

The length of the [tex]GJ[/tex] is 5.162 units.

A right angle triangle is the triangle in which measure of one of the angle is equal to the 90 degrees.

The ratio of opposite side of the triangle hypotenuse side of triangle is equal to sine of angle.

Given information-

In the given triangle shown in the figure,

[tex]\angle JGH=35[/tex]

The angle [tex]\angle HJG[/tex] is right angle, which is equal to the 90 degrees.

As the sum of all the angles of a triangle is equal to the 180 degrees. Thus,

[tex]\angle JGH+\angle HJG+\angle GHJ=180\\[/tex]

Put the values,

[tex]35+90+\angle GHJ=180\\125+\angle GHJ=180\\\angle GHJ=180-125\\\angle GHJ=55[/tex]

In the given triangle, the side [tex]GJ[/tex] is the opposite side of the triangle and [tex]GH[/tex] is the hypotenuse side of the triangle.

Thus the length of the [tex]GJ[/tex] for the right triangle can be given as,

[tex]\sin 35=\dfrac{GJ}{9}\\[/tex]

This is the required expression,

[tex]GJ=\sin 35\times9\\GJ=0.574\times9\\GJ=5.162[/tex]

Thus the length of the [tex]GJ[/tex]5.162 units.

The expression required to fine the length of GJ is,

[tex]\sin 35=\dfrac{GJ}{9}\\[/tex]

The length of the [tex]GJ[/tex]5.162 units.

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The correct answer is: Median calculation and Threshold calculation.

Median calculation: The Column Statistics tool can calculate the median of a dataset. The median is the middle value in a sorted dataset. It is a measure of central tendency that divides the data into two equal halves. Calculating the median can provide insights into the central value of a dataset and is less sensitive to extreme values compared to other measures like the mean.

Threshold calculation: The Column Statistics tool can calculate thresholds or cutoff points based on the data. These thresholds define certain conditions or ranges in the data. For example, you can set a threshold to identify data points above a certain value as outliers or flag data points that fall within a specific range. Threshold calculations can be useful for data cleansing, anomaly detection, or creating categorical variables based on certain conditions.

The other options, Date analysis and Regression analysis, are not typically calculated by the Column Statistics tool. Date analysis involves examining patterns and trends related to dates or time, which may require specialized techniques such as time series analysis or date-specific functions. Regression analysis is a statistical technique used to model the relationship between variables and requires more advanced tools or methods beyond basic column statistics.

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Answer:

[tex]the \: angle \: is \: 0.25\pi[/tex]

Step-by-step explanation:

the arc length is equal to the radius x angle (in radians)

[tex]s=ra[/tex]

s= arc length, r= radius and a= the angle

solve for a ; a= s/r; a=

[tex]1.25\pi/5[/tex]

The measure of the arc is 0.25π.

Important information:

The formula for arc length is:

[tex]s=r\theta[/tex]

where s is the arc length, r is the radius and [tex]\theta [/tex] is the measure of arc in radian.

The diameter of a circle is 10 inches. So, the radius is 5 inches.

[tex]1.25\pi=5\theta[/tex]

[tex]\dfrac{1.25\pi}{5}=\theta[/tex]

[tex]0.25\pi=\theta[/tex]

Therefore, the measure of the arc is 0.25π.

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Answer:

a

Step-by-step explanation:

Answer:

52 years

Step-by-step explanation:

Let

Your age = x

3 times your age = 3 * x

= 3x

The equation can be written as:

400 - 3x = 244

400 - 244 = 3x

156 = 3x

Divide both sides by 3

x = 156/3

x = 52

Therefore,

Your age is 52 years

Answer:

y=5x-13

Step-by-step explanation:

Answer:

lim [(x(2) + 3) × 1/ x(4) ] = 3 × ( + ○○) = + ○○

The Income Summary will be credited for $12,000 in the T account.

The journal entry to remove the beginning balance in Merchandise Inventory is as follows:
Merchandise Inventory Debit $45,000
Opening Inventory Credit $45,000
In the T account of Merchandise Inventory, the beginning balance of $45,000 will be subtracted from the total of the debit amounts in the account.

ii. Add the new balance to Merchandise Inventory

The journal entry to add the new balance to Merchandise Inventory is as follows:
Closing Inventory Debit $57,000
Merchandise Inventory Credit $57,000
In the T account of Merchandise Inventory, the ending balance of $57,000 will be added to the total of the credit amounts in the account.

The year-end adjustment entry for Merchandise Inventory is:

Merchandise Inventory Dr. $57,000 ($57,000 - $45,000)
Income Summary Cr. $57,000 ($57,000 - $45,000)
In the Merchandise Inventory T account, the ending balance is $12,000 (credit balance) since the credit amount of $57,000 exceeded the debit amount of $45,000 by $12,000.
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Answer:

the answer is 20 because you round of 21