What is the slope of this line?
Give your answer as a fraction in simplest terms.

3/5kg + 760g

3/5kg = 3/5×1000

= 600g

Now

600g + 760g = 1360g

Or 1.36kg

Answered by Gauthmath must click thanks and mark brainliest

Answer:

A

Step-by-step explanation:

the order of letter should resemble the same shape

A hypothesis is an educated guess or tentative explanation for a phenomenon that can be tested through scientific investigation. It is a prediction or statement that proposes a relationship between two or more variables and can be tested through empirical evidence.

A hypothesis is an essential component of the scientific method as it provides a framework for designing experiments, collecting data, and analyzing results. The aim of testing a hypothesis is to either accept or reject it based on the available evidence. In this way, hypotheses help advance scientific knowledge and understanding.

A testable statement about the relationship between variables is called a

hypothesis .

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Answer:

3 cm

Step-by-step explanation:

Answer

V= (3√2)(32^2)(12)

v=52,133.6

The 100th digit to the right of the decimal point in the decimal representation of (1 .fi.)3000 is 0.

First, let's convert the number (1 .fi.)3000 into its decimal representation. This is done by dividing 3000 by 10 raised to the power of the number of digits following the decimal point, which in this case is 3. We get the answer 1000, or 1.000.
Now, we can look at the 100th digit to the right of the decimal point. This will be the 0th digit from the right of the decimal point, which is 0. Therefore, the 100th digit to the right of the decimal point in the decimal representation of (1 .fi.)3000 is 0.

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Answer:

10^12

Step-by-step explanation:

To establish the existence of a causal relationship between the thickness of the packaging material and the shelf life of the cheese,

In a dairy factory, the best study that would be a reliable source of evidence is a randomized controlled trial (RCT).In an RCT, the participants are randomly assigned to two or more groups,

where one group receives the intervention (in this case, cheese packaged with thicker material) and the other group receives the standard treatment (cheese packaged with the usual material).

To ensure the reliability of the study, the RCT should be conducted in a double-blind manner, where neither the participants nor the researchers know which group is receiving the intervention. This will prevent any bias that may influence the results.

The participants should also be selected carefully to ensure that they represent the target population of the study. In this case, the participants should be cheese consumers or distributors who are interested in the shelf life of the cheese.

By comparing the shelf life of the cheese packaged with thicker material to that packaged with the usual material, the RCT can establish the existence of a causal relationship between the thickness of the packaging material and the shelf life of the cheese.

The results of the study can then be used to inform the dairy factory's packaging practices and improve the shelf life of their cheeses.

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Answer:

.

Step-by-step explanation:

Answer:

1.366

Step-by-step explanation:

The probability of obtaining the observed results or more extreme results under the assumption of the null hypothesis.

The P value is a statistical measure that helps to determine the level of significance of a hypothesis test. In hypothesis testing, the null hypothesis is the initial assumption that is tested against an alternative hypothesis.

The decision criterion for a hypothesis test using the P value is to compare the calculated P value with the specified significance level, denoted by alpha (α).
If the calculated P value is less than or equal to the specified significance level, we reject the null hypothesis.

This means that we have sufficient evidence to support the alternative hypothesis, which is the opposite of the null hypothesis.

The significance level is typically set at 0.05 or 0.01, which means that we are willing to accept a 5% or 1% chance of making a type I error (rejecting the null hypothesis when it is actually true).
It simply means that we do not have enough evidence to reject it at the specified significance level.
In conclusion,

The decision criterion for a hypothesis test using the P value is straightforward.

If the P value is less than or equal to the specified significance level, we reject the null hypothesis.

Otherwise, we do not reject the null hypothesis.

This decision is based on the level of evidence that is provided by the calculated P value.

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Answer:

1. x = 15

2. y = 2/3x - 1

Step-by-step explanation:

Answer:

• Gloria's rates of travel: 14 mph

• Jane's rates of travel: 56 mph.

Explanation:

• Let Gloria's rate of travel = x

Jane travels 4 times as fast as Gloria, therefore:

• Jane's rate of travel = 4x

The time for which both have traveled = 2.5 hours

Since they are traveling in opposite directions, the total distance covered is the sum of the individual distance.

Then, solve for x.

Therefore:

• Gloria's rate of travel, x = 14 mph

• Jane's rate of travel = 4x = 4 x 14 =56 mph

Gloria's and Jane's rates of travel are 14 mph and 56 mph respectively.

Answer: 3

Step-by-step explanation:

The scale factor is the ratio of corresponding side lengths of the two triangles.

In the given triangles, the length of the corresponding sides of the triangles are:

For the first triangle:

Side A = 15 units

Side B = 15 units

For the second triangle:

Side A = 45/2 units

Side B = 45/2 units

To find the scale factor, we can divide the length of one side of the second triangle by the corresponding length of the first triangle.

For example, we can use Side A:

Scale factor = (length of Side A of the second triangle) / (length of Side A of the first triangle)

Scale factor = (45/2) / 15

Scale factor = (45/2) * (1/15)

Scale factor = 3/2

Since the two triangles are scaled copies of each other, the scale factor should be the same for all corresponding sides.

Thus, the scale factor is 3 (in simplest form).

Hello !

\(2n + 8 = 3n +( -30)\\\\2n + 8 - 8 = 3n + (-30) -8\\\\2n = 3n - 38\\\\2n - 3n = 3n-38-3n\\\\-n=-38\\\\\boxed{n =38}\)

The median is the middle value when an odd number of data values are arranged in order.

The median is an important concept in statistics that helps to describe the central tendency of a dataset. When dealing with an odd number of data values, finding the median is straightforward. First, you need to arrange the values in either ascending or descending order. Once the data is ordered, the middle value is the median. For example, if you have the following dataset: 1, 3, 5, 7, 9. The median is the middle value, which in this case is 5. It is important to note that the median is not affected by extreme values or outliers. It is a reliable measure that represents the central value in a dataset.

In summary, when an odd number of data values are arranged in order, the middle value is known as the median. It is a measure of central tendency that helps to describe the middle value in a dataset.

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Answer:

Solution given:

-2(3x+12y-5-17x-16y+4)

-6x-24y+10+34x+32y-8

34x-6x+32y-24y+10-8

28x+8y+2 is a required answer.

Answer:

it should be 4 3/8 but sorry if it's wrong <3

Therefore , the solution of the given problem of unitary method comes out to be total amount spent by Ria £129.58.

By multiplying the value about one unit by the quantity of units required, one can apply the unit technique to solve a problem. The unit procedure is used to separate a single entity integer from a given many, to put it simply. One pen, or 400 rupees, would be needed to purchase 40 needle. There might be a common way to verify this. only one nation. Anything has a unique feature. Algebra, grid logic, and its laminates and reverse are all identical terms used to describe mathematical analysis.

Here,

Given : Ria purchases 19 books for £6.82 apiece.

Thus,

Total cost of book = 19 * 6.82

=> 129.58

Therefore , the solution of the given problem of unitary method comes out to be total amount spent by Ria £129.58.

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The magnitude of the resultant force on the third four-wheeler is 385.75 N in the direction of N 74.2⁰ E.

The given parameters:

The X-component and Y-component of the applied forces is calculated as follows;

\(F_x = F \times cos(\theta)\\\\F_y = F \times sin(\theta)\)

\(X-component : F_x = \ \ 300 \times cos(30)\ -\ 270 \times cos(55) = 104.94 \ N \\\\Y - component: F_y = 300 \times sin(30) \ + \ 270 \times sin(55) = 371.2 \ N\\\\\)

The magnitude of the resultant force on the third four-wheeler is calculated as follows;

\(F = \sqrt{F_x^2 + F_y^2} \\\\F = \sqrt{104.94^2 \ + \ 371.2^2} \\\\F = 385.75 \ N\)

The direction of the resultant force is calculated as follows;

\(\theta = tan^{1} (\frac{F_y}{F_x} )\\\\\theta = tan^{-1} (\frac{371.2}{104.94} )\\\\\theta = 74.2 \ ^0\\\\\theta = N \ 74.2^0 \ E\)

The complete question is below:

Two four-wheelers are trying to drag a third four-wheeler out of the mud. The first four-wheeler is traveling in the direction of N 30 E and the second four-wheeler is traveling in the direction of N 55 W If the four-wheelers are pulling with forces of 300 pounds and 270 pounds. respectively; find the magnitude and directions (as a quadrant bearing) of the resultant force on the third four-wheeler.

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Answer:

2. 3(6+4)

Step-by-step explanation:

The value of the function f(x) at x = 1.477.

f(1.477) = 32.857

The value of the function g(x) at x = 20.

g(20) = 1.729

We have,

Two functions:

f(x) = b^x

g(x) = log_b(x)

Now,

From the table,

f(0.699) = b^0.699 = 5

Taking the logarithm of both sides with base b.

log_b(5) = 0.699

b = 5^(1/0.699)

b = 8.343

Now, we can find the value of f(1.477).

f(1.477) = b^1.477 = 8.343^1.477 = 32.857

Similarly, we can find the value of g(20).

g(20) = log_b(20) = log_8.343(20) = 1.729

Thus,

The value of the function f(x) at x = 1.477.

f(1.477) = 32.857

The value of the function g(x) at x = 20.

g(20) = 1.729

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There are 364 different committees of 3 people. There are 436 different committees of 4 people.

There are different scenarios for which we can calculate the number of possible committees. Here are a few examples:

To calculate the number of different committees of 3 people, we can use the combination formula, which is:

\(${n \choose k} = \frac{n!}{k!(n-k)!}$\)

where n is the total number of people and k is the number of people needed for the committee. Using this formula, we get:

\(${14 \choose 3} = \frac{14!}{3!(14-3)!} = \frac{14!}{3!11!} = 364$\)

Therefore, there are 364 different committees of 3 people that can be formed from this group.

To solve this problem, we can use the principle of inclusion-exclusion. First, we calculate the total number of committees of 4 people, which is:

\(${14 \choose 4} = \frac{14!}{4!(14-4)!} = \frac{14!}{4!10!} = 1001$\)

Next, we calculate the number of committees that do not include a freshman, which is:

\(${12 \choose 4} = \frac{12!}{4!(12-4)!} = \frac{12!}{4!8!} = 495$\)

Similarly, we calculate the number of committees that do not include a sophomore, a junior, and a senior, which are:

\(${11 \choose 4} = \frac{11!}{4!(11-4)!} = \frac{11!}{4!7!} = 330$\)

\(${10 \choose 4} = \frac{10!}{4!(10-4)!} = \frac{10!}{4!6!} = 210$\)

\(${9 \choose 4} = \frac{9!}{4!(9-4)!} = \frac{9!}{4!5!} = 126$\)

Now we can apply the principle of inclusion-exclusion, which is:

Total number of committees - (number of committees without a freshman + number of committees without a sophomore + number of committees without a junior + number of committees without a senior) + (number of committees without a freshman and without a sophomore + number of committees without a freshman and without a junior + number of committees without a freshman and without a senior + number of committees without a sophomore and without a junior + number of committees without a sophomore and without a senior + number of committees without a junior and without a senior) - number of committees without any freshmen, sophomores, juniors, or seniors.

Plugging in the values, we get:

$1001 - (495 + 330 + 210 + 126) + (66 + 120 + 165 + 84 + 55 + 35) - 1 = 436$

Therefore, there are 436 different committees of 4 people that can be formed, with at least one person from each grade level.

Note that for the last step, we subtracted 1 because there is only one committee that has no freshmen, sophomores, juniors, or seniors.

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Answer:

$293.28

Step-by-step explanation:

282 increase 4% =

282 × (1 + 4%) = 282 × (1 + 0.04) = 293.28

Answer:

Growth

Step-by-step explanation:

Answer:

$400.00

Step-by-step explanation: The shirt was bought at 20% of its original value, or 1/5th. To calculate it's original value, we multiply it by it's inverse 5/1, which is 5 times it's sale price. 80 * 5 = 400.