Translate CCLXXXVI from Roman Numerals into Arabic Numerals

The first term is, x2 its coefficient is 1 .

The middle term is, -4x its coefficient is -4 .

The last term, "the constant", is +3

Step-1 : Multiply the coefficient of the first term by the constant 1 • 3 = 3

Step-2 : Find two factors of 3 whose sum equals the coefficient of the middle term, which is -4 .

-3 + -1 = -4 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -3 and -1

x2 - 3x - 1x - 3

Step-4 : Add up the first 2 terms, pulling out like factors :

x • (x-3)

Add up the last 2 terms, pulling out common factors :

1 • (x-3)

Step-5 : Add up the four terms of step 4 :

(x-1) • (x-3)

Which is the desired factorization

- BRAINLIEST answerer

Answer:

a= 1 b= -4 c= 3

D= b² - 4ac

D= (-4)² - 4.1.3

D= 16 - 12

D= 4

x¹= - b - 2/ 2

x¹= 1

x²= - b + 2/2

x²= 3

I think that's the correct answer

Answer:

slope is -2 and the y-intercept is 12

Step-by-step explanation:

a key thing to remember: x is always equal to 0 when finding the y-intercept.

so if you look at the table for where 0 is, you get the point (0,12) meaning the y-intercept is 12.

to find the slope use the equation: slope= change in y/change in x

you can use any two points to find this.

lets take the points of the x-intercept (6,0) and the y-intercept (0,12)

12-0/0-6

12/-6

-2 = slope

Answer:

8 pens = 32

1 pen = 32 ÷ 8

= 4

Cost of one pen is $4.

Answer:

2b-4

Step-by-step explanation:

for example the number is b

we have twice the number means we have 2b

4 less than it is 2b-4

hope it helps <3

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The probability that the student will finish her trip in 60 minutes or less is 0.4

To find the probability that the student will finish her trip in 60 minutes or less, we need to find the proportion of the total area under the uniform distribution curve that lies to the left of 60 minutes.

Since the travel time is uniformly distributed between 40 and 90 minutes, the probability density function is

f(x) = 1/(90-40) = 1/50, for 40 ≤ x ≤ 90

The probability of finishing the trip in 60 minutes or less is therefore

P(X ≤ 60) = ∫[40, 60] f(x) dx

= (60-40)/50

Do the arithmetic operations

= 0.4

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Answer:

D. 4

Step-by-step explanation:

The lines cross on the point (2.5,4), this is the only place on the graph where the lines share the same y-value.

A completely randomized model in a single factor study means that the assignment of treatments is completely random, with no underlying pattern or bias.

When analyzing the difference in means between treatments in a single factor, a completely randomized model means that each individual or unit in the study has an equal chance of being assigned to any of the treatment groups.

In other words, the assignment of treatments is completely random, with no underlying pattern or bias.

This type of experimental design is important because it helps to minimize the effects of confounding variables and other sources of bias.

By randomly assigning treatments to study participants, researchers can be confident that any observed differences in the outcome variable are due to the treatment itself, rather than to other factors that may vary between the groups.

In statistical analysis, a completely randomized model can be used to test whether there are significant differences in the means between the different treatment groups.

This can be done using methods such as analysis of variance (ANOVA) or t-tests, depending on the number of treatment groups and the type of outcome variable being measured.

Overall, the completely randomized model is an important tool for ensuring that the assignment of treatments in a single factor study is unbiased and that the resulting data are suitable for statistical analysis.

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The sampling distribution for a goodness of fit test is the

A continuous distribution with degrees of freedom is a chi-square distribution. It is used to describe how a sum of squared random variables is distributed.

When comparing categorical variables from a random sample, the statistical test known as chi-square is used to assess the degree of fit between the predicted and actual results.

We can therefore conclude that chi-square distribution is the sampling distribution for a goodness of fit test

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Answer:

jhcgskuaygrhfksrhdfcgiuzx6yh

.luc

Step-by-step explanation:

Yes, they can use the walkie-talkies to talk to each other.

The distance between them is given as 28.2 meters.

The horizontal and vertical distances should be considered when calculating the distance between their apartments using the three-dimensional form of the Pythagorean theorem.

This comes out as \(\sqrt((18^2 + 19^2 + 7^2))\), which equals \(\sqrt(798)\) square root meters, or, to the nearest tenth, 28.2 meters.

Since this distance is less than the 35-meter range of the walkie-talkies, communication should be possible between the two apartments.

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According to the product rule we find out that there are 24 major autoroutes from Boston to Los Angeles via Detroit.

It is given to us that -

There are 4 major autoroutes from Boston to Detroit

There are 6 major autoroutes from Detroit to Los Angeles

We have to find out the number of major autoroutes from Boston to Los Angeles via Detroit.

Since it is given that there are 4 major autoroutes from Boston to Detroit, this implies that -

To travel from Boston to Detroit there are 4 ways

Similarly, since there are 6 major autoroutes from Detroit to Los Angeles, this implies that -

To travel from Detroit to Los Angeles there are 6 ways

So, the number of major autoroutes from Boston to Los Angeles via Detroit = 4 * 6 = 24 ways

Thus, through product rule we find out that there are 24 major autoroutes from Boston to Los Angeles via Detroit.

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We can model this with a binomial random variable, with sample size n=4 and probability of success p=1/6.

As we have to calculate the probability of getting at least one 2, it is easy to substract from a probability equal to 1 the probability of getting no 2. This can be written as:

The probability of getting at least one 2 in dice rolled 4 times is P=671/1296.

Answer:

x=72

Step-by-step explanation:

x-9=3/4 ⋅ x+9

1/4 ⋅ x -9=9

1/4⋅x=18

x=72

Answer:

x=4

Step-by-step explanation:

they are the same

what you do is take 4x+23 and make it equal to 10x-1

4x+23=10x-1

+1              +1

4x+24=10x

-4x      -4x

24=6x

/6    /6

x=4

13.2 credits are earned per semester.

The outcome you receive when you add together two or more numbers and divide the sum by the variety of amounts: Since the sum of the three numbers is 39 and 39 divided by three is 13, the average of the three numbers 7, 12, and 20 is 13.

The sample size \((x bar)\) provides the most accurate point estimate of the genuine population mean (μ) ( if the true population mean is unknown).

Given: A study at the nearby institution using a sample of 80 students discovered that each student obtained 13.2 credit hours on average per semester.

\(x bar\) = 13.2 credits per semester, for example.

The sample mean, or μ = \(x bar\)= 13.2 credit hours per semester, should thus be considered the best point estimate for the average number of credit hours per semester for all students at the local college.

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Answer:

it's 1!!

Step-by-step explanation:

Answer:

The distance from the ball to the left post is 50 feet.

Step-by-step explanation:

Since a soccer goal is composed of a pair of 8 ft upright posts, positioned 48ft apart with a horizontal crossbar and netting boxing in the goal, and a soccer ball is positioned directly in front of the right goal post at a distance of 14ft, to To determine what is the ground distance from the ball to the left goal post, the Pythagorean theorem must be applied through the following calculation:

A ^ 2 = B ^ 2 + C ^ 2

A ^ 2 = 14 ^ 2 + 48 ^ 2

A ^ 2 = 196 + 2,304

A = √2500

A = 50

Thus, the distance from the ball to the left post is 50 feet.

The probability distribution for the third purchase would be approximately [0.781248, 0.218752] for "special" and "b" respectively.

Based on the transition probabilities provided, we can represent the purchase patterns for the two brands of toothpaste as a Markov process. Let's denote the two brands as "special" (S) and "b" (B).

The rows represent the current state, and the columns represent the next state. The entry at row i and column j represents the probability of transitioning from state i to state j.

For example, according to the transition matrix:

The probability of transitioning from "special" (S) to "special" (S) is 0.92.

The probability of transitioning from "special" (S) to "b" (B) is 0.08.

The probability of transitioning from "b" (B) to "special" (S) is 0.04.

The probability of transitioning from "b" (B) to "b" (B) is 0.96.

Using this transition matrix, we can analyze the purchase patterns over time. For example, if we start with a customer purchasing the "special" brand, the probability distribution for the next purchase would be [0.92, 0.08] for "special" and "b" respectively. If we continue this process, we can calculate the probabilities for multiple purchases in the future.

Certainly! Let's continue analyzing the purchase patterns using the given transition probabilities.

Let's consider the initial state where a customer purchases the "special" brand of toothpaste. We can calculate the probabilities for the next purchase after several time steps.

Time step 1:

If the customer purchased "special" toothpaste initially, the probability distribution for the next purchase would be [0.92, 0.08] for "special" and "b" respectively.

Time step 2:

To calculate the probabilities for the second purchase, we multiply the previous probability distribution by the transition matrix:

Hence, the probability distribution for the second purchase would be approximately [0.8464, 0.1536] for "special" and "b" respectively.

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The hydrologic cycle, also known as the water cycle, plays a crucial role in the Earth's natural processes. It involves the continuous movement of water between the Earth's surface, atmosphere, and underground reservoirs.

The importance of the hydrologic cycle can be understood by considering its various functions:

Transport: The hydrologic cycle facilitates the transport of water across the Earth's surface, including rivers, lakes, and oceans. This movement of water is vital for the distribution of nutrients, sediments, and organic matter, which are essential for the functioning of ecosystems.

Weathering and Contaminant Transport: Water plays a significant role in weathering processes, such as erosion and dissolution of rocks and minerals. It also acts as a carrier for contaminants, pollutants, and nutrients, influencing their transport through the environment.

Energy Balance: Water has a high heat capacity, which means it can absorb and store large amounts of heat energy. This property helps regulate the Earth's temperature and climate by transporting heat through evaporation, condensation, and precipitation.

Greenhouse Gas: Water vapor is a major greenhouse gas that contributes to the Earth's natural greenhouse effect. It absorbs and re-emits thermal radiation, trapping heat in the atmosphere. Approximately 80% of the atmospheric greenhouse effect is attributed to water vapor.

Life: Water is vital for supporting life on Earth. It provides a habitat for numerous organisms and serves as a medium for various biological processes. Terrestrial life forms, including plants, animals, and humans, rely on water availability for their survival, growth, and reproduction.

It is important to note that while water is critical for most terrestrial life forms, human beings have developed technologies and systems that allow them to inhabit regions with limited water availability. However, water still remains a fundamental resource for human societies, and the hydrologic cycle plays a crucial role in ensuring its availability and sustainability.

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The value of the angle is 34 degrees

To determine the value of the variable, we need to the following;

From the information given, we have that the angles are;

73 degrees

73 degrees

x degrees

Equate the angles

73 + 73 +x = 180

collect the like terms

x = 180 - 146

subtract the values

x = 34 degrees

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Answer:

the simplest form of 15/20 is 3/4

Answer: X=5 so whats 3 + 5? easy, 8. so now you know the bottom is eight and since it's a rectangle the top is also 8. And the left side is 15 so we know the right side is also 15. To find the perimeter you add all the sides of which in this case it would be 8 + 8 + 15 + 15. or (8 times 2) + (15 times 2). = 46 the answer is 46

Step-by-step explanation:

Answer:

6x

6x(x + 4)

Step-by-step explanation:

Both 6x^2 and 24x are divisible by 6x

Answer:

Step-by-step explanation:

Calculating the average speed during this time interval is the same as calculating how many km he traveled per hour.

\(\frac{km}{hr}:\frac{250}{2.5}\)

This is also the same thing as the unit rate. Do that division and find that he traveled 100 km/hr.

The length of the kite and the tail are \(4\frac{2}{3}\) and \(10\frac{5}{6}\) ft respectively.

The tail of the kite is 1.5 feet plus twice the length of the kite.  Together, the kite and tail are 15.5 ft long.  

The length of the tail and the kite can be found as follows:'

let

length of kite = x

Therefore,

length of the tail = 1.5 + 2x

Together the length of kite and tail is 15.5 ft

Hence,

1.5 + 2x + x  = 15.5

1.5 + 3x = 15.5

3x = 15.5 - 1.5

3x = 14

x = 14  /3

x = \(4\frac{2}{3}\) ft

length of the tail =  1.5 + 2(14 / 3)

length of the tail = 1.5 + 28 / 3

length of the tail = 65 / 6 = \(10\frac{5}{6}\) ft

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Answer:

g(x) = tan(x/2)

Step-by-step explanation:

The length of the intercepted arc, to the nearest tenth, is approximately 3.5 units.

To find the length of the intercepted arc, we can use the formula:
Length of intercepted arc = θ * r

Given that the central angle θ = π/3 and the radius r = 10, we can substitute these values into the formula to find the length of the intercepted arc:
Length of intercepted arc = (π/3) * 10

Now, let's calculate this:
Length of intercepted arc = (3.14/3) * 10

Length of intercepted arc ≈ 3.47 (to the nearest tenth)

Therefore, the length of the intercepted arc, to the nearest tenth, is approximately 3.5 units.

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