Find the length of the​ arc, s, on a circle of radius r intercepted
by a central angle θ. r = 9.2m θ = 10.5°

A graph that is commonly used to compare the relationship between a categorical and a quantitative variable is a box plot, also known as a box-and-whisker plot.

A type of graph is particularly useful for visually displaying the distribution, central tendency, and variability of the quantitative variable across different categories.
In a box plot, the categorical variable is represented along the x-axis, while the quantitative variable is represented on the y-axis. For each category, a box is drawn to show the interquartile range (IQR), which contains the middle 50% of the data. The line inside the box represents the median, a measure of central tendency. Whiskers extending from the box show the range of the data, excluding possible outliers.
This graphical representation allows for easy comparison between categories, making it an effective tool for analyzing the relationship between a categorical and a quantitative variable.

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Therefore , the solution of the given problem of equation comes out to be y = (-1/6)x + 3.

A recovery model built on linearity is based on the equation y=mx+b. The inclination is B, and the y-intercept is m. The aforementioned statement is often referred to as "Bivariate linear formulas have two components," even though y and y are distinct parts. There are no simple answers when it arrives at using linear functions. and. The formula is Y=mx+b, where m represents slopes and b represents the y-intercept.

Here,

specified that the specified line has a slope of 6, the perpendicular line's slope is:

=> m = -1/6

We can now determine the equation of the vertical line using the point-slope form of the equation of a line:

=> y - y1 = m(x - x1)

where m is the slope we just discovered and (x1, y1) is the provided point on the line (-6, 4):

=> y - 4 = (-1/6)(x - (-6))

Simplifying:

=> y - 4 = (-1/6)(x + 6)

=> y - 4 = (-1/6)x - 1

=> y = (-1/6)x + 3

The line that passes through (-6, 4) and is orthogonal to y = 6x - 1 has the equation:

=> y = (-1/6)x + 3.

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Answer:

y = 24√3, or approximately 41.6

Step-by-step explanation:                                √3        36

Here the ratio 36/y = cosine of 30 degrees = ------- = ------

                                                                               2         y

Cross-multiplying yields (√3)y = 72, so y = 72/√3, or 72√3/3, or y = 24√3

The probability of exactly four successes in six trials of a binomial experiment is given by P ( A ) = 9.2 %

Given data ,

The formula for Binomial Distribution is given by

P ( x ) = [ n! / ( n - x )! x! ] pˣqⁿ⁻ˣ

In this case, we want to find P(X=4), the probability of exactly four successes in six trials

On simplifying , we get

n = 6

k = 4

p = 0.40

P(X=4) = C(6, 4) x 0.40⁴ * (1-0.40)⁽⁶⁻⁴⁾

P(X=4) = 15 x 0.40⁴ x 0.60²

P(X=4) ≈ 9.2 %

In a binomial experiment with six trials and a success rate of 40%, the probability of exactly four successes, rounded to the closest tenth of a percent, is roughly 9.2%.

Hence , the probability is 9.2 %

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Answer: 13.82%

Step-by-Step Explanation:  

Simplifying the expression given in words gives - 256.08

Given data

the expression. negative 17 plus the quantity negative 2 and three tenths plus 8 and 12 hundredths end quantity divided by 6 all times 4 squared minus 8 and 6 tenths

rewriting the expression gives:

= ( -17 + ( -2 3/10 + 8 12/100 ) / 6) * 4^2 - 8 6/10

= ( -17 + ( -2.3 + 8.12 ) / 6) * 4^2 - 8.6

= ( -17 + ( 5.82 ) / 6 ) * 16 - 8.6

= ( -17 + ( 0.97 ) * 16 - 8.6

= ( -16.03 ) * 16 - 8.6

= -256.48 - 8.6

= -256.08

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After set s1.addAll(s2), s1 is [1, 2, 5, 2, 3, 6].

After performing the operation s1.addAll(s2) on sets s1 [1, 2, 5] and s2 [2, 3, 6], the set s1 would become[1, 2, 5, 2, 3, 6].

To determine the value of s1, the following steps has to be taken:

1. Start with sets s1 [1, 2, 5] and s2 [2, 3, 6].

2. Apply the addAll operation with set s2: [2, 3, 6]

3. Add each element from set s2 to set s1, while avoiding duplicates (since sets cannot have duplicate elements).

4. Therefore, suppose if set s1 is [1, 2, 5] and set s2 is [2, 3, 6] then, after s1.addAll(s2), the set s1 becomes [1, 2, 5, 2, 3, 6].

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Answer:

4) t -3

Step-by-step explanation:

-16t² = -16 * t * t

48t = (-16t) * (-3)

-16t² + 48t = (-16t) * t + (-16t) *(-3)

                = (-16t) [ t - 3]

The rule for the given pattern is to subtract 13, then add 24.

The correct Option is (A.) subtract 13, then add 24.

A pattern or sequence in a series of numbers is called a number pattern. In general, this pattern builds a connection between all integers.

In this question we have the following pattern:

1, -12, 12, -1

Here we need to find the rule for this pattern.

Let's take the first number of the pattern, which is 1:

1

To obtain the second number of the pattern, which is -12, we must subtract 13, because:

1 - 13 = -12

To obtain the third number of the pattern, which is 12, we must add 24, because:

-12 + 24 = 12

Therefore, the correct answer is A.) subtract 13, then add 24

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The complete question is: "Which best describes the rule for this pattern? 1,-12,12,-1 A.) subtract 13, then add 24 B.) subtract -13, then add 24 C.) subtract -24, then add 13 D.) subtract 24, then add 13"

The expression for the number of bacteria after t hours is N(t) = 50e\(^(0.4427t)\) , rounded to four decimal places.

Let N(t) be the number of bacteria after t hours.

Since the culture grows at a rate proportional to its size, we can write:

dN/dt = kN

where k is the proportionality constant.

This is a separable differential equation, which we can solve by separating the variables and integrating:

dN/N = k dt

ln(N) = kt + C

where C is the constant of integration.

To find the value of C, we use the initial condition that the culture initially contains 50 cells:

ln(50) = k(0) + C

C = ln(50)

Substituting C into the previous equation, we get:

ln(N) = kt + ln(50)

Taking the exponential of both sides, we obtain:

N = e\(^(kt + ln(50)) = 50e^(kt)\)

Now we need to find the value of k. We know that after 1.5 hours, the population has increased to 825:

N(1.5) = 825

Substituting this into the previous equation, we get:

825 = 50\(e^(1.5k)\)

Taking the natural logarithm of both sides, we obtain:

ln(825/50) = 1.5k

k = ln(825/50) / 1.5

k ≈ 0.4427

Finally, substituting this value of k into the expression we obtained for N(t), we get:

N(t) = 50e\(^(0.4427t)\)

Therefore, the expression for the number of bacteria after t hours is N(t) = \(50e^(0.4427t)\), rounded to four decimal places.

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The bug changes direction at t = 4. This can be answered by the concept of velocity.

To determine when the bug changes direction, we need to find when its velocity changes sign from positive to negative. From the graph, we see that the bug's velocity is positive for t < 4 and negative for t > 4. Therefore, the bug changes direction at t = 4.

To verify this, we can look at the behavior of the bug's velocity as it approaches t = 4. From the graph, we see that the bug's velocity is increasing as it approaches t = 4 from the left, and decreasing as it approaches t = 4 from the right. This indicates that the bug is reaching a maximum velocity at t = 4, which is when it changes direction.

Therefore, the bug changes direction at t = 4.

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Step-by-step explanation:

One leg is x, the second leg is 2x and the hypotenuse is:

Perimeter is:

The sides are:

The probability of finding 0 contaminated pieces in  225 g of chocolate is 5.57 X 10⁻⁷.

Here the number of contaminated fragments follows a Poisson process. Hence, let the distribution for the same be X.

Hence we get X ~ Poi(λt)

where λ is the mean no. of contaminated pieces and t is the no. of bars consumed.

For P(X = x) we get [(λt)ˣ  e^(-λt)]/x!

Here λ = 14.4 and t = 1 Hence we will get

P(X = x) = [(14.4)ˣ e⁻¹⁴°⁴]/x!

Here we need to find the probability of the no. of contaminated pieces = 0

Therefore

P(X = 0) = [(14.4)⁰ e⁻¹⁴°⁴]/0!

Hence the probability of finding 0 contaminated pieces in a bar of chocolate is

P(X = 0) =  e⁻¹⁴°⁴

= 5.57 X 10⁻⁷

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Answer:

Step-by-step explanation:

c

Answer:

y=-1/27

Step-by-step explanation:

1. multiply both sides by 3y

-2=54y

2. divide by 54

-1/27=y

decimal: -0.037

Answer:

10, 11, 12, 13

Step-by-step explanation:

2 + 8 = 10

3 + 8 = 11

4 + 8 = 12

5 + 8 = 13

x  |  y

2  |  10

3  |  11

4  |  12

5  |  13

y = x + 8, so take x, add 8 to it, and you get y

Answer:

The EZ Pay Plan because it would cost less than the 40 to Go Plan.

Step-by-step explanation:

You will have to calculate the amount that you would pay with each monthly plan if you have 200 minutes per month.

-EZ Pay Plan:

$0.15*200=$30

-40 to Go Plan:

$40+($0.05*200)=$40+$10=$50

According to this, the answer is that if you only want 200 minutes per month, you should choose the EZ Pay Plan because it would cost $30 which is less than the 40 to Go Plan that would cost $50.

The equation y = 3/4x describes the relationship

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

The graph

The graph is a linear graph, and we have the following points on the graph

(x, y) = (0, 0) and (4, 3)

Because the line passes through the origin i.e. (0, 0), the equation that describes the relationship is then represented as

y = Y/X * x

Where

(X, Y) = (4, 3)

So, we have

y = 3/4x

Hence, the equation is y = 3/4x

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Umm what is your question u did not add it?

Answer:        我不知道你好

Step-by-step explanation:

Answer:

10x=y

Step-by-step explanation:

Divide your outputs by your inputs. In other words, divide 20 by 2, 50 by 5, and 70 by 7. These all equal 10. Therefore, 10 times x will equal y.

354 Valencia student tickets and 133 non-student tickets were sold.

Let's use algebra to solve the problem. Let

x be the number of Valencia student tickets sold

y be the number of non-student tickets sold

We know that

x + y = 487 (the total number of tickets sold is 487)

14x + 25y = 8391 (the total receipts from ticket sales is $8391)

We can use the first equation to express one of the variables in terms of the other. For example, we can solve for y

y = 487 - x

Here we have to use the substitution method, we can then substitute this expression for y into the second equation

14x + 25(487 - x) = 8391

Simplifying and solving for x

14x + 12275 - 25x = 8391

-11x = -3884

x = 354

So, 354 Valencia student tickets were sold. We can use the first equation to find y

x + y = 487

354 + y = 487

y = 133

So, 133 non-student tickets were sold.

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Answer:

he earned 116.25 double check tho I'm not sure

Answer:

True

Step-by-step explanation:

True.

Not all variables retained in a regression model need to be statistically significant at a given level of significance (e.g., 5% level). The inclusion of variables in a regression model can be based on theoretical or practical considerations, and not solely on statistical significance. Moreover, some variables may have an important effect on the dependent variable even if they are not statistically significant in the model. However, it is important to assess the overall fit and predictive power of the model, and to consider alternative models and variable transformations if necessary.

Answer:

-15

Step-by-step explanation:

if its just asking for what number would represent a loss of 15 it would be negative 15

i dont know if there's more to the problem or not

Answer:

-15

Step-by-step explanation:

This is because whatever much water was in the tank is now decreasing by 15, therefore, you can write it as -15,

hope this helps!

The future value of Tran Lee's savings after five years would be approximately $14,995.49.

To calculate the future value of Tran Lee's savings, we can use the formula for the future value of an ordinary annuity:

Future Value = Payment * [(1 + Interest Rate)^Number of Periods - 1] / Interest Rate

Given:

Payment (PMT) = $2,900 per year

Interest Rate (r) = 5% = 0.05 (decimal form)

Number of Periods (n) = 5 years

Substitute  these values into the formula, we get:

Future Value = $2,900 * [(1 + 0.05)^5 - 1] / 0.05

Calculating this expression, we find:

Future Value ≈ $14,995.49

Therefore, the future value of Tran Lee's savings after five years would be approximately $14,995.49.

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The future value of Tran Lee's savings after five years would be approximately $14,995.49.

To calculate the future value of Tran Lee's savings, we can use the formula for the future value of an ordinary annuity:

Future Value = Payment * [(1 + Interest Rate)^Number of Periods - 1] / Interest Rate

Given:

Payment (PMT) = $2,900 per year

Interest Rate (r) = 5% = 0.05 (decimal form)

Number of Periods (n) = 5 years

Substitute  these values into the formula, we get:

Future Value = $2,900 * [(1 + 0.05)^5 - 1] / 0.05

Calculating this expression, we find:

Future Value ≈ $14,995.49

Therefore, the future value of Tran Lee's savings after five years would be approximately $14,995.49.

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Answer:-40 - 180=-220

Step-by-step explanation:

water is 0 so when subtracting it will be negative.

the answer is -220 because of how deep the submarine is.

you will keep subtracting the farther down you go.