Solve the following word problems using your knowledge of trigonometry: 3. A rope is stretched from the top of a vertical pole to a point 10.5 m from the bottom of the pole.The rope makes an angle of 28'with the pole.How tall is the pole?

It is important to remember that model selection and improvement is an iterative process and may require trying several different approaches before arriving at the best solution.

A high R^2 value of 1 on the training data and a low R^2 value of 0 on the validation data suggests that the model is overfitting. Overfitting occurs when a model is too complex and has learned the training data too well, but has poor generalization performance on new, unseen data (validation data in this case).

To address this issue, you can try the following:

Reduce the amount of features in the model or regularise it to restrict the size of the coefficients.

Increase the size of the training dataset: A bigger training dataset may provide the model a better grasp of the link between the features and the target variable.

Cross-validation: Use cross-validation techniques to better estimate the model's performance on fresh data.

Attempt a different model: A other model may be more appropriate for the problem and data.

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Walking is not safe on the path whenever rabbits have been seen in the area, and berries are ripe along the path. This is formalized by using the →(if-then) and ∧(logical and) operators.

Given information and corresponding atomic propositions:

We need to formalize the given statements in terms of atomic propositions r, b, and w, which are defined as follows:

r: Rabbits have been seen in the area.

b: Berries are ripe along the path.

w: Walking on the path is safe.

Now, let us formalize each of the given statements in terms of these atomic propositions:

a) Berries are ripe along the path, but rabbits have not been seen in the area.

b: Rabbits have not been seen in the area, and walking on the path is safe, but berries are ripe along the path.

c: If berries are ripe along the path, then walking is safe if and only if rabbits have not been seen in the area.

d: It is not safe to walk along the path, but rabbits have not been seen in the area, and the berries along the path are ripe.

e) For walking on the path to be safe, it is necessary but not sufficient that berries not be ripe along the path and for rabbits not to have been seen in the area.

Walking is not safe on the path whenever rabbits have been seen in the area, and berries are ripe along the path.

The formalizations in terms of atomic propositions are:

a) b ∧ ¬r.b) ¬r ∧ w ∧

b.c) (b → w) ∧ (¬r → w).

d) ¬w ∧ ¬r ∧

b.e) (¬r ∧ ¬b) → w.b ∧

Berries are ripe along the path, but rabbits have not been seen in the area.

This is formalized by using the ∧(logical and) operator.

(¬r ∧ ¬b) → w: It means For walking on the path to be safe, it is necessary but not sufficient that berries not be ripe along the path and for rabbits not to have been seen in the area.

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20x+6+9x=180

add the values of x together

29x+6=180

subtract 6 from each side

29x=174

divide each side by 29

x=6

The unit price of the red ribbon is $0.88 per meter.

What is rate ?

A rate is a measure of the speed of something in relation to another quantity or measurement. It is a ratio that expresses how much of one quantity occurs in a given amount of another quantity. In other words, it is a comparison of two different measurements.

To find the unit price of the red ribbon, we need to divide the total cost by the number of units (in this case, meters) in the roll:

Unit price =  cost / Number of units

In this case, the total cost is $7.92 and the number of units is 9 meters. So, we have:

Unit price = $7.92 / 9 meters

Using a calculator or by performing long division, we can simplify this expression to find the unit price:

Unit price = $0.88 per meter

Therefore, the unit price of the red ribbon is $0.88 per meter.

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The Hypothesis testing enables us to determine whether the sample evidence is inconsistent  with what is hypothesized under the null hypothesis.

According to the statement

we have to find that the the given sample is applicable for the null hypothesis or not.

So, For this purpose, we know that the

Inconsistent hypothesis is a the estimate needs to correspond with a small p value for all values in the hypothesized set of values.

So, under this hypothesis we find that the given data or sample is inconsistent under the null hypothesis. it means that the the data give the correct value of the p rather than wrong value of p under null hypothesis.

That's why, Hypothesis testing enables us to determine whether the sample evidence is inconsistent  with what is hypothesized under the null hypothesis.

So, The Hypothesis testing enables us to determine whether the sample evidence is inconsistent  with what is hypothesized under the null hypothesis.

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Janelle will earn approximately 729.19 more with the compound interest option compared to the simple interest option over a period of 7 years.

The amount Janelle will earn with the compound interest option can be calculated using the formula for compound interest:

\(A = P(1 + r/n)^{(nt)}\)

Where:
A is the total amount after interest has been compounded
P is the principal amount (the initial deposit)
r is the annual interest rate (expressed as a decimal)
n is the number of times interest is compounded per year
t is the number of years

In this case, Janelle deposits 3,000 at an interest rate of 3% for 7 years. We'll compare the simple interest and compound interest options.

For the simple interest option, the interest is calculated using the formula:

I = P * r * t

Where:

I is the total interest earned

Using the given values, we can calculate the interest earned with simple interest:

I = 3000 * 0.03 * 7
I = 630

Now, let's calculate the total amount earned with the compound interest option.

Since the interest is compounded monthly, the interest rate needs to be divided by 12 and the number of years needs to be multiplied by 12:

r = 0.03/12

t = 7 * 12

Using these values, we can calculate the total amount with compound interest:

\(A = 3000 * (1 + 0.03/12)^{(7*12)}\)

A ≈ 3,729.19

To find out how much more Janelle will earn with the compound interest option, we subtract the initial deposit from the total amount with compound interest:

Difference = A - P
Difference = 3,729.19 - 3,000
Difference ≈ 729.19

Therefore, Janelle will earn approximately 729.19 more with the compound interest option compared to the simple interest option over a period of 7 years.

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The solution for b is y-mx in the equation y=mx+b.

The given equation is y=mx+b

y equal r=to m times of x plus b

We need to solve for b in the equation

To solve we have to isolate b from the equation

Subtract mx from both sides

y-mx=b

Hence, the solution for b is y-mx in the equation y=mx+b.

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Answer:

slope=2x, y-intercept=-3

Step-by-step explanation:

When in slope intercept, the slope (m) is always the x (and whatever number is in front of it), and the y-intercept (b) is at the end of the equation.

Answer:

In 8 years, you will have $11,094.81

Step-by-step explanation:

Answer:

V=11095.3771≈11095.38

Step-by-step explanation:

Answer:

  sin(θ₁) = (√357)/29

Step-by-step explanation:

The relationship between sine and cosine can be used to find sin(θ₁).

In Quadrant II, the sine is positive. The sine is given in terms of the cosine by ...

  \(\sin(\theta_1)=\sqrt{1-\cos^2(\theta_1)}\\\\\sin{\theta_1}=\sqrt{1-\left(-\dfrac{22}{29}\right)^2}=\dfrac{\sqrt{29^2-22^2}}{29}=\dfrac{\sqrt{(29-22)(29+22)}}{29}=\dfrac{\sqrt{7\cdot51}}{29}\\\\\boxed{\sin(\theta_1)=\dfrac{\sqrt{357}}{29}}\)

__

Additional comment

We didn't have to use the factoring of the difference of squares to evaluate the radical. However, by doing so, we could see that the value had no square factors that would permit it to be simplified.

Answer:

the answer is C coz just 42 cm is abc

Answer: Lower bound of f - g: 41.31 and the upper bound of f - g: 41.49.The lower and upper bounds of f - g can be determined by considering the possible values of f and g when rounded to 1 decimal place.

When f is rounded to 1 decimal place and its value is 49.2, the possible values for f can range from 49.15 to 49.24. This means that the lower bound for f is 49.15 and the upper bound is 49.24.
Similarly, when g is rounded to 1 decimal place and its value is 7.8, the possible values for g can range from 7.75 to 7.84. Therefore, the lower bound for g is 7.75 and the upper bound is 7.84.
To find the lower bound for f - g, we subtract the upper bound of g from the lower bound of f: 49.15 - 7.84 = 41.31.
To find the upper bound for f - g, we subtract the lower bound of g from the upper bound of f: 49.24 - 7.75 = 41.49.
Therefore, the lower bound of f - g is 41.31 and the upper bound is 41.49.

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Answer:

B- hope this helps:)

Step-by-step explanation:

The total cost to paint 864.5 square feet of wall is $2,048.87.

It is given that the cost to paint one square foot of wall is $2.37.

We are asked to find the total cost to paint 864.5 square feet of wall.

If we have a number that has a decimal point then we have two parts.

The whole number part and the fractional part.

After the decimal point, we will count the place value as tenths, hundredths, thousandths, and so on.

You can also see the given figure below.

We know that,

One square foot = $2.37.

Remember that Feet is the plural form of the foot.

We can write,

864.5 square feet = 864.5 x  one square foot

Because in 864.5 square feet we have 864.5 one square foot.

And since one square foot cost $2.37.

864.5 square feet will cost 864.5 x 2.37 dollars.

Now,

864.5 x 2.37 = $2048.865.

Rounding to the nearest hundredth.

6 is in the hundredth place so we will round 86 to 87 since the number in the thousandth place is greater than 4.

Thus the total cost to paint a wall of 864.5 square feet is $2,048.87.

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the correct answer is B. ŷ = -157 + 40.2x; yes, because the r-value is high. The regression line would be a good predictor of other data points because of the strong linear relationship between x and y, as indicated by the high r-value.

To determine the line of regression, we can use linear regression analysis. The regression line is a straight line that best represents the relationship between the two variables. It is determined by minimizing the sum of squared deviations between the observed values and the predicted values of the response variable.

Using a calculator or statistical software, we can find that the regression line for this data set is:

ŷ = -22.2933 + 32.0472x

The r-value (correlation coefficient) for this data set is 0.969, which is relatively high. This indicates a strong positive linear relationship between x and y.

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Answer:

B. 5 2/5

Step-by-step explanation:

This is the value to x in this equation

Hope this helped!!!

This is also the 100% correct answer on edg. 2020

Answer: the value of x=5 2/5 or answer b.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Did you mean.

\( = \cot( \theta) . \sin(2 \theta) \)

\( = \frac{ \cos( \theta) }{ \sin( \theta) } .(2 \sin( \theta) \cos( \theta) )\)

\( = \frac{2 \sin( \theta) \cos {}^{2} ( \theta) }{ \sin( \theta) } \)

\( = 2 \cos {}^{2} ( \theta) \)

\( = 2.(1 - \sin {}^{2} ( \theta) )\)

\( = 2 - 2 \sin {}^{2} ( \theta) \)

No option Solution.

Answer:

-1=x

Step-by-step explanation:

4/3-3x+5/2=-6x+5/6

8/6-3x+15/6=-6x+5/6

23/6-3x=-6x+5/6

18/6-3x=-6x

3-3x=-6x

3=-3x

-1=x

The percentage of unemployed women from the total percentage of unemployed is 60%

Percentage of the unemployed women from the total unemployed = 15% / 25% × 100

= 0.60 × 100

= 60%

Therefore, the percentage of unemployed women from the total percentage of unemployed is 60%

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Answer:

-5¹⁰

Step-by-step explanation:

(-5⁵)² = -5⁵ˣ² = -5¹⁰ = 9,765,625

Answer:

how many brothers do you have?

The given statement " The normal curve is symmetric about its​ mean, u" is true because it is equally distributed on both the sides of the mean.

The normal curve is always symmetric about the line representing its mean, u.

This means that the curve is equally distributed on both sides of the line representing the mean.

And the area under the curve to the left of the mean is equal to the area under the curve to the right of the mean.

This is a defining characteristic of the normal distribution.

Which is widely used in statistics due to its many useful properties.

Therefore, the normal curve is symmetric which is about its mean is a true statement.

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The above question is incomplete, the complete, question is:

The normal curve is symmetric about its​ mean, u. T/F.

The function has three x-intercepts: x=0, x=4, and x=5. The graph of f(x) has three x-intercepts in the xy-plane.

To find the x-intercepts of a function, we need to set the value of y to zero and solve for x. In this case, the function is f(x) = x(x-4)^2(x-5)^3. To find the x-intercepts, we set f(x) = 0 and solve for x.
First, we notice that each factor is squared or cubed, which means that they cannot be negative. Therefore, we only need to consider the positive values of x.
Next, we see that the factor x will make the whole expression zero when x=0.
The factors (x-4)^2 and (x-5)^3 will make the expression zero when x=4 and x=5, respectively.
Therefore, the function has three x-intercepts: x=0, x=4, and x=5.
In conclusion, the graph of f(x) has three x-intercepts in the xy-plane. Includes the terms "parenthesis" and "squared."

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Answer:

F type connector

Step-by-step explanation:

Use an F-type connector for broadband cable connections that use coaxial cable.

The F connector is a coaxial RF connector commonly used for "over the air" terrestrial television, cable television and universally for satellite television and cable modems,

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F type connector

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Answer:

-53, -24, 0, 18

Step-by-step explanation:

Hope this helps :)

Answer: (a+b)2 = a2 + b2 + 2ab., (a-b)2 = a2 + b2 – 2ab.,a2 – b2 = (a+b) (a-b)

Step-by-step explanation:

As per the concept of percentage, Mark can calculate the optimal allocation of funds among different stocks to achieve his goal of a total annual return of 12% while minimizing overall risk.

The average annual return for each stock is given as follows:

Internet - 0.18

Software - 0.12

Computer - 0.10

Entertainment - 0.15

The variance for each stock is not explicitly given but is implied to be the same as the squared value of the standard deviation. Therefore, the higher the variance, the riskier the investment.

To minimize overall risk, Mark needs to consider the correlation coefficients between each stock. Correlation coefficients measure the relationship between two variables, in this case, the stocks in Mark's portfolio.

The correlation coefficients between the stocks are given as follows:

1, 2 - 0.9

1, 3 - 0.7

1, 4 - 0.3

2, 3 - 0.8

2, 4 - 0.4

3, 4 - 0.2

The closer the correlation coefficient is to 1, the stronger the positive relationship between the stocks. A coefficient of 0 indicates no relationship, while a coefficient of -1 indicates a strong negative relationship.

To determine the percentage of funds Mark should invest in each stock, he needs to use the Markowitz Portfolio Theory. This theory uses the expected returns and variances of stocks and their correlations to determine the optimal allocation of funds among different stocks.

Mark's goal is to minimize overall risk while still achieving a total annual return of 0.12. Using the theory, Mark can calculate the percentage of funds to invest in each stock to achieve his goal.

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Let x = 0

Let y = 0

Look at choice A. There is a typo here. This is not an inequality. Where is choice B? No choice B given.

Let us play with choice C and D.

y - 9 > 3x - 10

0 - 9 > 3(0) - 10

-9 > 0 - 10...This is a true statement. We know that -9 is bigger than -10. Do you know why this is true?

How about D?

Again let y = 0 and x = 0.

0 + 9 > 3(0) + 10

9 > 0 + 10

9 > 10...This is untrue. We know that 9 is NOT BIGGER than 10.

Without knowing A and B, I figured out that choice C is true. We conclude that the point (0,0) AKA the origin is a solution to the inequality given by choice C.

Understand?

Answer:

467.50

Step-by-step explanation:

do 61.5 times 5 to get 307.5 and add to 160 to get 467.50

Answer:

He earned $312.5 for that week

Step-by-step explanation:

Hello,

He earns $160 for 40 hours

And $5 per hour for every extra hour.

In a certain week, we work 61/2 hours as over time

1 hour = $5

61/2 hour = $x

x = [5 × (61/2)]

x = $152.5

He earned $152.5 on that week for overtime

Total amount he earned for that week = wage + overtime wage

Total amount = $160 + $152.5

Total amount = $312.5

The man earned $312.5 for that week