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The total amount of rainwater collected in the next 6 hours will be equal to 1.5 cm.

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.

Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.

As per the data mentioned in the question,

Rainwater in the bucket from last night = 3 cm

Night = 12 hours

Then, rainwater collected per hour = 3/12 = 0.25 cm per hour.

Then, the total amount of water in the next 6 hours will be,

0.25 × 6 = 1.5 cm.

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Without specific table structures and dependencies provided, it is not possible to determine the 1NF, 2NF, and 3NF of the bookorder tables.

To determine the 1NF, 2NF, and 3NF of the bookorder tables, we need to consider the normalization process and identify any dependencies among the attributes. Without the specific table structures and dependencies provided, it is not possible to provide a specific answer. However, in general, the normalization process aims to eliminate data redundancy and update anomalies by organizing data into separate tables based on functional dependencies. In 1NF, each attribute should hold atomic values. In 2NF, non-key attributes should depend on the entire key. In 3NF, non-key attributes should depend only on the key, not on other non-key attributes. The specific normalization steps depend on the specific attributes and dependencies in the given tables.

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The required value of the number of sides ( n ) is 17.

What is polygon?

A closed, two-dimensional object composed of straight lines is called a polygon. In most cases, we can quickly determine the polygon's number of sides from its name.

Given, two of the exterior angles of an n-sided polygon are 25° & 26°

So, the sum of exterior angle = 25° + 26° = 51°

three of its interior angles are 161º each

So, each exterior angle = 180° - 161° = 19° .

sum of three exterior angles = 19*3 = 57° .

Then,

Remaining total angles = n - (2 + 3) = (n - 5).

And, the remaining interior angles are 159° each.

So, each exterior angle of the remaining angles = 180° - 159° = 21°.

sum of all (n -5) exterior angles remaining = 21(n - 5) = (21n - 105°) .

Now,

Sum of all exterior angles = 360°

or, 51° + 57° + (21n - 105°) = 360°

or, 21n + 108° - 105°  = 360°

or, 21n + 3° = 360°

or, 21n = 360° - 3°

or, 21n = 357°

or, n = 357/21 = 17

Hence, The required value of n is 17.

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Answer:

The value of x = -21/5

Step-by-step explanation:

=> -5x-21 =0

=> -21 = 5x

=> -21/5 = x

Answer:

Step-by-step explanation:

you want to set the equation equal to 0

-5x - 21 = 0

add 21 to both sides to get the variable by itself

-5x = 21

divide both sides by -5

x = - 21/5

Answer: 5 chairs and 2 extra chairs

Step-by-step explanation:

Note that \(\frac{27}{5}=5.4\). This means we can place up to 5 chairs at each table.

However, this means that there will be \(27-5(5)=2\) chairs left over.

Answer:

Option (3).

Step-by-step explanation:

This question is incomplete; find the compete question in the attachment.

Equation (1):  q = d + n

"Total number of quarters is equal to the sum of number of dimes and nickels."

Equation (2): 0.25q + 0.10d + 0.05n = 6.05

"Total value of the coins in the jar is $36"

Equation (3) : q + d + n = 36

"There are a total of 36 coins in the jar."

By comparing the options given, we find the third option which matches with equation (3)

Therefore, option (3) is the correct answer.

median= 7 middle part

range=7 because 8-1 or highest minus lowest numbers

mode= you got the answer

Answer:Use the slope-intercept form to find the slope.

m=4

The equation of a perpendicular line to

y

=

4

x

−

9

must have a slope that is the negative reciprocal of the original slope.

m

perpendicular

=

-1/4

Step-by-step explanation:

hii lily how are u

Let:

Therefore:

True. Regression is commonly used to develop a mathematical model of a process.

Regression analysis is a statistical method used to model the relationship between a dependent variable and one or more independent variables. The goal is to develop a mathematical equation that describes the relationship between the variables and can be used for prediction or inference.

By fitting a regression model to a dataset, we estimate the coefficients of the model that quantitatively describe how the independent variables affect the dependent variable. This process involves finding the best-fitting line or curve that minimizes the differences between the observed data points and the predicted values from the model.

The resulting mathematical model can then be used to make predictions, understand the relationship between variables, identify significant predictors, and assess the statistical significance of the model.

Therefore, regression analysis is indeed carried out to develop a mathematical model of the process under investigation, making the statement true.

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Answer: x=30, y=115

Step-by-step explanation:

The equivalent number of skips to one meter is determined by the ratio of the unit of jumps (ff) to the unit of meters (gg).

To determine how many skips are equivalent to one meter, we need to consider the given relationships between hops, skips, jumps, and meters.

Given:

bb hops equals cc skips.

dd jumps equals ee hops.

ff jumps equals gg meters.

We can use these relationships to establish a conversion factor to convert between meters and skips.

First, we can express the relationships in terms of meters:

bb hops = cc skips.

dd jumps = ee hops

= (ee hops  cc skips) skips.

ff jumps = gg meters.

Since dd jumps equals (ee hops  cc skips) skips, we can substitute this into the equation:

ff jumps = (ee hops  cc skips) skips

= gg meters.

Now, we can solve for one meter in terms of skips:

1 meter = (1 meter / ff jumps) ff jumps

1 meter = (1 meter / gg meters) ff jumps

1 meter = (ff jumps / gg meters) skips

Therefore, one meter is equal to (ff jumps / gg meters) skips. The specific value would depend on the given values for ff jumps and gg meters in the problem statement.

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ANSWER

8 : 3

EXPLANATION

We have that the jar contains 990 beans, 8/11 of which are kidney beans.

The number of kidney beans are:

8 / 11 * 990 = 720

We can find the number of navy beans by subtracting the number of kidney beans from the total number of beans:

990 - 720 = 270

Therefore, the ratio of kidney beans to navy beans is:

720 : 270

In lowest terms:

8 : 3

That is the answer.

Answer:

Using the equation ŷ = 5.4 + 1.7x, we can say that if x is 1.2, the predicted value will be 7.44.

Step-by-step explanation:

y=5.4+1.7(1.2)

Multiply 1.7 and 1.2 to get 2.04.

y=5.4+2.04

Add 5.4 and 2.04 to get 7.44.

y=7.44

There you go!

(Sources cited from Microsoft Math Solver.)

The thickness of the clay layer, which drains only from the upper surface, can be determined based on the consolidation settlement observations. With 50% of consolidation settlement occurring in 1 hour for a 25 mm thick specimen, and a total primary consolidation settlement of 35 mm occurring over many years, the thickness of the clay layer is approximately 87.5 mm.

The consolidation settlement of a clay specimen can be used to estimate the thickness of a clay layer that drains only from the upper surface. In this case, the observed settlement data provides valuable information.

Firstly, we know that 50% of the consolidation settlement occurs in 1 hour for a 25 mm thick clay specimen. This is an important parameter for calculating the coefficient of consolidation (Cv) using Terzaghi's theory. From the Cv value, we can estimate the time required for full consolidation settlement.

Secondly, we are given that the same clay settles 10 mm over 10 years and eventually settles a total of 35 mm over a longer period. This long-term settlement is known as the total primary consolidation settlement. By comparing this settlement value with the settlement data from the oedometer test, we can determine the thickness of the clay layer.

To calculate the thickness, we can use the concept of the consolidation settlement ratio. The ratio of the total primary consolidation settlement to the consolidation settlement at 50% completion is equal to the ratio of the total thickness to the thickness at 50% completion. Applying this ratio, we can determine that the thickness of the clay layer, which drains only from the upper surface, is approximately 87.5 mm.

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Answer:

a^2-12a+36

Step-by-step explanation:

;)

It is important for Harrison to ensure that his sample is representative of the population he is interested in and that his measures of creativity are reliable and valid. He should also consider potential confounding variables, such as age or gender, that may affect his results.

I would advise Harrison that Pearson's r is a measure of correlation, which examines the linear relationship between two continuous variables. However, it may not be the best statistical test for comparing the creativity scores of people who prefer Star Wars to those who prefer Star Trek, as creativity scores may not necessarily have a linear relationship with preference for either franchise.

Instead, a more appropriate statistical test may be an independent samples t-test or ANOVA, which can compare the means of two or more groups on a continuous variable. These tests are more appropriate when the variable of interest is continuous and the groups being compared are categorical.

Additionally, it is important for Harrison to ensure that his sample is representative of the population he is interested in and that his measures of creativity are reliable and valid. He should also consider potential confounding variables, such as age or gender, that may affect his results.

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The average time in minutes a customer spends waiting in line for service is  5.49 minutes, so the correct answer is D. none of the choices listed.

We can use Little's Law to find the average time a customer spends waiting in line for service:

Average time in line = (Average number of customers in line) / (Service rate)

To find the average number of customers in line, we can use the formula for the M/M/1 queuing system:

Lq = (ρ²) / (1 - ρ)

where

Lq is the average number of customers in the queue

ρ is the utilization of the server, which is equal to the arrival rate divided by the service rate

So, ρ = (Arrival rate) / (Service rate) = 28/35 = 0.8

And, Lq = (0.8^2) / (1 - 0.8) = 0.64 / 0.2 = 3.2

Now we can use Little's Law:

Average time in line = (Average number of customers in line) / (Service rate) = 3.2 / 35

Converting hours to minutes, we get:

Average time in line = (3.2 / 35) * 60 = 5.49 minutes

So the answer is D. none of the choices listed.

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1.12589991*10^25

Step-by-step explanation:

did it on a calculator

if I'm wrong sorry

Answer:

256^25

Step-by-step explanation:

so first due to the laws of indices (a^2)^m

=4^3 = 64

5x3= 15

4^10

= 64^15 x 4^10

=256^25

Answer:

1.8 cm to the nearest tenth.

Step-by-step explanation:

The angle opposite side a = 180 - 105 - 15 = 60 degrees.

By the Sine Rule:

a / sin 60 = 2 / sin 105

a = 2 * sin60/ sin 105

= 1.79315

Answer:

Perpendicular

Step-by-step explanation:

Remember that:

So, let's find the slope of QR and ST.

QR)

We can use the slope formula:

\(m=\frac{y_2-y_1}{x_2-x_1}\)

Let Q(-6, 11) be (x₁, y₁) and R(2, -1) be (x₂, y₂). Substitute:

\(m=\frac{-1-11}{2-(-6)}\)

Subtract:

\(m=-12/8=-3/2\)

So, the slope of QR is -3/2.

ST)

Let S(-4, 8) be (x₁, y₁) and T(-1, 10) be (x₂, y₂). Substitute:

\(m=\frac{10-8}{-1-(-4)}\)

Subtract:

\(m=2/3\)

So, the slope of ST is 2/3.

The negative reciprocal of -3/2 is 2/3.

And the negative reciprocal of 2/3 is -3/2.

So, the slopes are indeed negative reciprocals of each other.

So, QR and ST are perpendicular.

Perpendicular     hope this helped

Answer:

7

Step-by-step explanation:

15 - 8 = 7

Attribute data is data that logically can be only whole numbers and can be expressed as control charts.

Therefore, attribute data is data that logically can be only whole numbers and can be expressed as control charts.

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Answer:

she receives 76 Dollars