Write the equation for the line that goes through the point (5, 12) with a slope m = 10​

Answer:

Step-by-step explanation:

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Answer:

Nice Belt is the correct answer

Step-by-step explanation:

I hope this helps

Answer:

17/25

Step-by-step explanation:

You need to add the probability of choosing a blue marble to the probability of choosing a yellow one.

The probability of choosing a blue marble is 10/25, since there are 10 blue ones, and 25 total.

The probability of choosing a yellow marble is 7/25.

10 + 7 = 17

17/25

This expression is P(exactly 2 emails between \(t and t+1) = 2rtje^-(r+j) / (r+j)^2\).

The expected length of the interval that t belongs to can be calculated by taking the sum of the expected time until the next event before t and the expected time until the next event after t. Since the Poisson processes are memoryless, the expected time until the next event follows an exponential distribution with parameter 1/r or 1/j, depending on the type of event. Therefore, the expected length of the interval is:

E[length of interval] = E[time until next event before t] + E[time until next event after t]

= (1/r) + (1/j)

To calculate the probability that t belongs to an RR interval, we need to find the probability that the last event before t is a regular email and the first event after t is also a regular email. Since the events are independent and follow a Poisson process, the probability of a regular email arriving at any given time is r/(r+j), and the probability of a junk email arriving is j/(r+j). Therefore, the probability of t belonging to an RR interval is:

P(RR interval) = P(regular email before t) * P(regular email after t)

= (r/(r+j)) * (r/(r+j))

= r^2 / (r+j)^2

To calculate the probability that between t and t+1, exactly 2 emails, a regular email followed by a junk email, arrive, we can use the fact that the number of arrivals in any time interval follows a Poisson distribution with parameter equal to the product of the rate and the length of the interval. Therefore, the probability of exactly 2 arrivals between t and t+1 is:

P(exactly 2 arrivals between t and t+1) = (rt)(jt)e^-(r+j)

The factor of (rt) represents the probability of a regular email arriving in the first infinitesimal interval between t and t+dt, and a junk email arriving in the next infinitesimal interval, and the factor of e^-(r+j) represents the probability of no arrivals in the remaining time interval (t+dt, t+1). The factor of (jt) represents the probability of a junk email arriving first, followed by a regular email in the next infinitesimal interval. We can think of the interval from t to t+1 as the unit interval, and normalize the probability by dividing by the total probability of any two emails arriving in the interval:

P(exactly 2 emails between t and t+1) = (rt)(jt)e^-(r+j) + (jr)(rt)e^-(r+j) / [(r+j)^2]

Simplifying this expression, we get:

P(exactly 2 emails between t and t+1) = 2rtje^-(r+j) / (r+j)^2

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Yes, this fact would make you suspect that the loader had slipped out of adjustment.

If the average weight of the cars is below 85.5 tons, then the weight of some of the individual cars must have been lower than 85.5.

This suggests that the coal hadn't been evenly loaded into the cars, which could be an indication that the loader was out of adjustment.

Furthermore, low weights in some of the cars could also suggest that there was an issue with accuracy in the loader, as it might not have been loading the correct amount of coal per car.

Yes, this fact could make you suspect that the loader had slipped out of adjustment.

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Answer:

Step-by-step explanation:

-1 = 7 - x

On this case, what you want to achieve is for all the constants to go to one side of the equation and all the variables would be on the other side of the equation. Let us transpose 7 to the left side of the equation.

subtract 7 on both sides

-1 = 7 - x

-1 - 7 = 7 - 7 - x

Simplify

-8 = -x

Divide both sides by -1

-8/-1 = -x/-1

8 = x

The answer to the question is x=8. It is an example of a linear equation.

A linear equation is an algebraic equation that represents a straight line when graphed on a coordinate plane. It consists of variables, constants, and coefficients, with the variables raised to the power of 1 (i.e., they are not squared or cubed).

A general form of a linear equation with one variable, let's say x, is:

ax + b = 0

Here, 'a' and 'b' are constants, and 'x' is the variable. The coefficient 'a' represents the slope or gradient of the line, while the constant term 'b' represents the y-intercept, which is the point where the line crosses the y-axis.

In this question,

-1 = 7-x (Given)

so, x = 7+1

        =8

Therefore, the solution to the equation is x=8.

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Answer:

y=e^x - 4

Step-by-step explanation:

The log functions decrease with increasing x.  The line shown increases as x increases, so it must be one of the two e^x equations.  We can decide which one by calculating which equation povides the correct values to match the two points the curve crosses the y and x axes.

The graph shows the line crossing the y axis at -3 (0,-3)

It shows it crossing the x axis at a little over 1, perhaps 1.4 (1.4,0).  

When x=0, e^0 = 1.  

Look at the point (0,-3):  

We know the e term will be 1 (e^0 = 1), so for y to be -3, we need to subtract 4:  The form e^x - 4  would yield a value for y, when x is 0, of y = 1 - 4 or -3.

Check the other point (1.4,0):

y = e^1.4  is equal to 4.00

y = 4.00 - 4

y = 0

This point is also correct (1.4,0)

The correct equation is y=e^x - 4

The question is from social studies

The correct statement is;-

Option d; Disability benefits for the worker and the worker's dependents are provided by the Federal Insurance

Given,

Federal Insurance;-

Federal government insurance is a type of insurance that covers all state personnel working in offices and legally authorized divisions. Taxes for social security are typically used to pay for the coverage it offers.

Contrary to many private sector health benefit plans, the Federal Employees Health Benefits (FEHB) program offers coverage without a physical examination, does not impose age or physical condition restrictions, offers a variety of health insurance plans to choose from, and cannot be terminated by the plan you enroll in.

Here,

The correct statement is;-

Option d; Disability benefits for the worker and the worker's dependents are provided by the Federal Insurance

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Answer:

y = -1/3x - 2

Step-by-step explanation:

We can use the points (-1, -1) and (5, -3) to solve.

Slope formula is y2-y1/x2-x1

-3-(-1)/5-(-1)

-2/6

-1/3

Find the y intercept.

y = -1/3x + b

-1 = -1/3(-1) + b

-1 = 1 + b

-2 = b

y = -1/3x - 2

Best of Luck!

The research is expected to observe a sample with at least one pink unicorn in (1 - ((10 + 3) / 25)^11) samples.


To determine the number of samples that have at least one pink unicorn, we can use the concept of complementary events.
First, let's find the probability of selecting a sample without any pink unicorns. The total number of unicorns in the forest is 10 white + 3 blue + 12 pink = 25.
The probability of selecting a unicorn without pink color from the forest is (10 white + 3 blue) / 25.

To find the probability of selecting a sample without any pink unicorns, we multiply this probability by itself 11 times since we want to select 11 unicorns without any pink color.
The probability of selecting a sample without any pink unicorns is ((10 + 3) / 25)^11.

To find the probability of selecting a sample with at least one pink unicorn, we subtract the probability of selecting a sample without any pink unicorns from 1.
The probability of selecting a sample with at least one pink unicorn is 1 - ((10 + 3) / 25)^11.
Therefore, the research is expected to observe a sample with at least one pink unicorn in (1 - ((10 + 3) / 25)^11) samples.

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Step-by-step explanation:

it is simple for such a line.

x goes to -infinity, and therefore y (or f(x)) also goes to -infinity.

x goes to +infinity, and therefore y (or f(x)) also goes to +infinity.

the difference between x and y values is just a constant factor (the slope). that constant factor becomes irrelevant, when the values approach infinity anyway. only the sign is relevant.

but in our case the slope is +1/+2 (the y value increases by +1 for every increase of x by +2).

so, the line (as we can see in the graph) is

y = 1/2 × x - 1

when x goes to +infinity, "-1" is irrelevant, and

1/2 × +infinity = +infinity.

when x goes to -infinity, again, "-1" is irrelevant, and

1/2 × -infinity = -infinity

Answer:

-128

Step-by-step explanation:

Given, f(x)=2x

3

−21x

2

+36x−20

∴f

′

(x)=6x

2

−42x+36

When f(x) is a maximum or a minimum, f

′

(x)=0

Hence, 6x

2

−42x+36=0

x

2

−7x+6=0

x

2

−6x−x+6=0

x(x−6)−1(x−6)=0

(x−6)(x−1)=0

x=1,6

Again f

′′

(x)=12x−42

=6(2x−7)

Now, when x=1,f

′′

(x)=−30 ....[negative]

And when x=6,f

′′

(x)=30 ....[positive]

Hence, f(x) is maximum for x=1 and minimum for x=6.

The maximum and minimum values of f(x) are

f(1)=2(1)

3

−21(1)

2

+36(1)−20

=2−21+36−20=−3

f(6)=2(6)

2

−21(6)

2

+36(6)−20

=432−756+216−20=−128

If each color is divided equally among four daughters, there will be an equal amount of pink and purple sand available for each girl.

When the colors are divided equally among four daughters, it means that the total amount of pink sand is divided into four equal portions and distributed among the daughters, and the same applies to the purple sand. Since the distribution is equal, each daughter will receive the same amount of pink sand and the same amount of purple sand. Therefore, there won't be any difference in the amount of pink and purple sand for each girl.

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Given a sample mean is 82, the sample size is 100, 90% confidence level and the population standard deviation is 20, the margin of error is 3.29.

To calculate the margin of error, we need to use the formula:

Margin of error = Z-score * (population standard deviation / square root of sample size)

Where the Z-score corresponds to the confidence level. Since we have a 90% confidence level, the Z-score is 1.645.

Plugging in the given values, we get:

Margin of error = 1.645 * (20 / sqrt(100))
Margin of error = 1.645 * 2
Margin of error = 3.29 (rounded to 2 decimals)

Therefore, the margin of error is 3.29.

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Answer:

7560

Step-by-step explanation:

I used google calculator

Answer:

Step-by-step explanation:

6973 Dollars

The cost of a box of pasta is $2. 64, then what will you be charged for pasta this week is $1,125.

The average cost, or how much it generally costs to produce a unit, can be discovered using the cost function. The average cost function is defined as A(x)=C(x)x, where x > 0. The average cost per unit is calculated by dividing the total cost by the number of units produced.

Given,

Your ending inventories this week for pasta were 35, 41, 32, 19, and 47 boxes. You par value is 120 and a supplier comes each night.

Par level = [(120 - 35) + (120 - 41) + (120 - 32) + (120 - 19) + (120 - 47)]

Par level = [85 + 79 + 88 + 101 + 73]

Par level = 426 units.

Charges = par level × cost

Charges = 426 × 2.64

Charges = 1,124.64

Charges ≈ $1,125

The cost of a box of pasta is $2. 64, then what will you be charged for pasta this week is $1,125.

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The estimated current total cost for the installed and insulated tank is $12,065.73.

The first step is to calculate the surface area of the tank. The surface area of a cylinder is calculated as follows:

surface_area = 2 * pi * r * h + 2 * pi * r^2

where:

r is the radius of the cylinder

h is the height of the cylinder

In this case, the radius of the cylinder is 1 meter (half of the diameter) and the height of the cylinder is 1 meter. So the surface area of the tank is:

surface_area = 2 * pi * 1 * 1 + 2 * pi * 1^2 = 6.283185307179586

The insulation will add a thickness of 0.05 meters to the surface area of the tank, so the total surface area of the insulated tank is:

surface_area = 6.283185307179586 + 2 * pi * 1 * 0.05 = 6.806032934459293

The cost of the insulation is $40 per square meter and the cost of labor is $95 per square meter, so the total cost of the insulation and labor is:

cost = 6.806032934459293 * (40 + 95) = $1,165.73

The original cost of the tank was $10,900, so the total cost of the insulated tank is:

cost = 10900 + 1165.73 = $12,065.73

Therefore, the estimated current total cost for the installed and insulated tank is $12,065.73.

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Answer:

20/27

Step-by-step explanation:

The curve given by y = √x represents a parabolic curve. To determine how close the curve comes to the point (2, 0), the minimum square of the distance between the curve and the point is√2.

The minimum square of the distance between the curve y = √x and the point (2, 0) is 2.
Explanation: To find the minimum square of the distance, we can consider the equation of the distance between the curve and the point. Let's denote the distance as d. Using the distance formula, we have:
d^2 = (x - 2)^2 + (√x - 0)^2
Expanding and simplifying the equation, we get:
d^2 = x^2 - 4x + 4 + x
d^2 = x^2 - 3x + 4
To find the minimum value of d^2, we can take the derivative of the equation with respect to x and set it equal to zero:
d^2/dx = 2x - 3 = 0
Solving for x, we find x = 3/2. Substituting this value back into the equation for d^2, we have:
d^2 = (3/2)^2 - 3(3/2) + 4
d^2 = 9/4 - 9/2 + 4
d^2 = 2
Therefore, the minimum square of the distance between the curve y = √x and the point (2, 0) is 2. This means that the curve comes closest to the point (2, 0) with a distance of √2.

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Using Cooking measurements,

The value replacement for 3/4 cup is = 36 teaspoons or 12 tablespoons.

Cooking Measurements :

Calculate and determine the specific amounts of ingredients required using standard measuring equipment.

A measuring spoon, measuring cup, or measuring utensil.

Measuring Spoons come in a variety of sizes and materials. The smallest set of spoons measure smudges, pinches and dashes. Other sets include tsp (tsp) and tsp (tbsp)

we have given 3/4 cup and we want to replace it

Using the cooking measurement chart ,

1 cup = 16 tablespoons or 48 teaspoons

1/2 cup = 8 tablespoons or 24 teaspoons

we have 3/4 cup then

3/4 cup = 1 cup - 1/4 cup

1/4 cup = 4 tablespoons or 12 teaspoons

then , 3/4 cup = 16 tablespoons - 4 tablespoons

= 12 tablespoons or

3/4 cup = 48 teaspoons - 12 teaspoons

= 36 teaspoons

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The right response is B. According to Option B, a data value X is regarded as an outlier if it deviates from the range Q1 - 1.5(IQR) to Q3 + 1.5. (IQR).

The right response is B.

The distance between the first quartile (Q1) and the third quartile in a box plot is known as the interquartile range (IQR) (Q3).

According to Option B, a data value X is regarded as an outlier if it deviates from the range Q1 - 1.5(IQR) to Q3 + 1.5. (IQR).

Although the range given in Option A is erroneous, the idea of an outlier being outside of a specific range based on the IQR is correct.

Option C's range, which is Q2 - 1.5(IQR) to Q2 + 1.5(IQR), is incorrect for locating outliers.

The phrase "TQR," which is uncommon in box plots, is mentioned in Option D. The range of Q2 -1.0(IQR) to Q2 +1.0(IQR) provided is incorrect for either locating outliers.

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Answer:

0.429

Step-by-step explanation:

3/7 is of course a fraction. But to do this calculation we will divide. 3/7 also means 3 ÷ 7

3 ÷ 7 is 0.42857142

Rounded to the nearest thousandth (three decimal places) it is .429

3/7 ~= 0.429

The three-number integer that Samya is thinking of include 562, 566, 571, 575, 577, and 586.

From the information, it is not a multiple of four, it is greater then 560 but less than 590.

In this case, the numbers will be between 561 to 589. It should be noted that 576 is a perfect square.

Also, 568, 580 are divisible by 4.

In this case, 562, 566, 571, 575, 577, and 586 are the numbers.

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The value of arc angle EFG is 160⁰.

The value of arc angle EHG is 200⁰.

The length of arc EHG is 200⁰

The value of arc angle FEG is 280⁰.

The value of EFG is calculated as follows;

arc ∠EFG = m∠EDF  + m∠FDG (intersecting chord theorem)

arc ∠EFG = 80⁰  + 80⁰

arc ∠EFG = 160⁰

The value of arc EHG is calculated as follows;

arc EHG = 360 - (160⁰) (sum of angles in a circle)

arc EHG = 200⁰

arc length EHG = 200⁰

The value of arc FEG is calculated as follows;

arc FEG = 360 - 80⁰ (sum of angles in a circle)

arc FEG = 280⁰

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Answer:

Pretty sure it's $6.45

Step-by-step explanation:

So you need to find how much it costs to fix 1 pane.

For that you divide 17.20/8= 2.15

so to fix 1 pane it costs $2.15

Now you need to find the cost to fix 3 panes. Multiply 2.15x3= 6.45

So to fix another 3 panes he needs to pay $6.45

Hope this helps:)

According to the information, we can infer that the number of ounces of water, x, that Will could have put in each cup is 8 ounces.

Will initially had a cooler filled with 144 ounces of water. After using 16 ounces to fill his water bottle, there were 144 - 16 = 128 ounces of water remaining in the cooler.

Will then took out 16 plastic cups for his teammates. Since the same amount of water was put in each cup, the remaining amount of water, 128 ounces, needs to be divided equally among the cups.

Dividing 128 ounces by 16 cups gives us 8 ounces of water for each cup.

So, Will could have put 8 ounces of water in each cup.

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Answer:

Its D

Step-by-step explanation:

When applying descriptive statistics to a data set, it is good practice to: Begin by examining the basic characteristics of the data, such as the minimum and maximum values, mean, median, and mode.

This provides an initial understanding of the central tendency and range of the data.

Calculate measures of dispersion, such as the standard deviation and range, to assess the spread or variability of the data points. This helps to understand how closely the data points cluster around the central tendency.

Visualize the data using appropriate graphical representations, such as histograms, box plots, or scatter plots, to gain insights into the distribution and patterns within the data.

Identify and handle any missing or outlier data points that may affect the overall analysis. Missing data can be addressed through imputation techniques, while outliers may require further investigation or treatment.

Summarize the findings using appropriate summary statistics and clear, concise descriptions. This includes presenting measures of central tendency, dispersion, and any other relevant statistics or patterns observed in the data.

Ensure that the results and interpretations are accurate, objective, and meaningful by applying appropriate statistical techniques and avoiding biased or misleading analyses.

Consider the context of the data set and the research question or problem being addressed. Descriptive statistics should be interpreted in relation to the specific context and should not be generalized beyond their scope.

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