Write the ratio for cos B

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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The absolute value equation that the swim coach can use is |t - 29.3| = 5.3, where t represents the time in seconds.

The information states that the average time for the 200 meter butterfly on the Lake Highlands Swim Team is 29.3 seconds. It is also mentioned that the slowest and fastest recorded times vary from the average by 5.3 seconds.

To determine the minimum and maximum times for the team, we need to consider the range within which the recorded times can vary from the average. The absolute value is used to ensure that the difference between the recorded times and the average is always positive.

In this case, |t - 29.3| represents the absolute value of the difference between the recorded time (t) and the average time (29.3). The equation |t - 29.3| = 5.3 states that the absolute difference between the recorded time and the average is equal to 5.3 seconds.

By solving this equation, we can determine the possible values for t, which represent the minimum and maximum times for the team. The value of t - 29.3 can either be positive or negative, as we are interested in both times that are slower and faster than the average.Hence, the absolute value equation |t - 29.3| = 5.3 can be used by the swim coach to determine the minimum and maximum times for the Lake Highlands Swim Team.

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Answer:

The greatest common factor of 4 and 12 is 4.

Step-by-step explanation:

Answer:

True

Right angles measure 90° . So each vertical angle = 90° and hence they are equal

Step-by-step explanation:

Answer: Answer: A

Explanation:

Just plug in numbers since you know the unknown values,

x + r = 4 + 5

4 + 5 = 9

Step-by-step explanation:

Answer;

19ft

Explanation:

First, we need to get the length of the broken leg using the Pythagoras theorem as shown;

Original height of the pole = 7ft + 12.21ft

Original height of the pole = 19.21ft

Original height of the pole = 19ft (to the nearest height)

Answer:

The answer is 2

-16/-8=2

Answer:

Answer is B: (-sqrt(3/2 , -1/2)

Step-by-step explanation:

First convert radians to degrees

theta = (7pi/6)*(180/pi)

=210 degrees

Cos(210 degrees)= -sqrt3/2

Thats the x coordinate

sin(210 degrees)= -1/2

thats the y coordinate

Answer:

The corresponding point on the unit circle for the radian measure is \((\frac{\sqrt{3} }{2},\frac{1}{2})\)

Step-by-step explanation:

What is unit circle?

A unit circle is typically drawn around the origin (0,0) of a X,Y axes with a radius of 1.

What is radian measure?

One radian is the measure of a central angle that intercepts an arc s equal in length to the radius r of the circle.

The radian measure is,

α=\(\frac{7\pi }{8}\)

Changing to degree measure,

\(\frac{7\pi }{6} *\frac{180}{\pi } \\=210^{o}\)

The measure on the unit circle is,

(cos \(\alpha\) , sin \(\alpha\))=(cos 210 , sin 210)

                    =\((\frac{\sqrt{3} }{2},\frac{1}{2})\)

Option A.

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The probability that a 34 square foot metal sheet has at least 9 defects is 0.4308, rounded to four decimals.

Given that the sheet metal has an average of 7 defects per 20 square feet, we can find the rate parameter (λ) of the Poisson distribution as follows:

λ = (7 defects / 20 sq ft) = 0.35 defects per square foot

Let X be the number of defects in a 34 square foot metal sheet. Since X follows a Poisson distribution with rate parameter λ, we can find the probability that X is at least 9 defects using the cumulative distribution function (CDF) of the Poisson distribution:

P(X ≥ 9) = 1 - P(X < 9) = 1 - F(8)

where F(k) is the CDF of the Poisson distribution with rate parameter λ evaluated at k.

Using the Poisson distribution formula for F(k), we have:

F(k) = P(X ≤ k) = ∑(i=0 to k) [(λ^i * e^(-λ)) / i!]

Using a calculator or software, we can find that:

F(8) = P(X ≤ 8) = 0.5692

Therefore, we have:

P(X ≥ 9) = 1 - F(8) = 1 - 0.5692 = 0.4308

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Answer:

672 had dark hair, 592 had blond hair, and 48 had red hair

Step-by-step explanation:

To solve this problem, we need to first find the total number of people for each hair color based on the given ratio.

Let's start by finding the common factor that we can use to scale the ratio up to the total number of people, which is 1,312:

42 + 37 + 3 = 82

We can then divide 1,312 by 82 to get the scaling factor:

1,312 ÷ 82 = 16

This means that for every 16 people, there are 42 with dark hair, 37 with blond hair, and 3 with red hair.

To find the actual number of people with each hair color in the town meeting, we can multiply the scaling factor by the number of people for each hair color in the ratio:

Dark-haired people: 42 × 16 = 672

Blond-haired people: 37 × 16 = 592

Red-haired people: 3 × 16 = 48

Therefore, there are 672 people with dark hair, 592 people with blond hair, and 48 people with red hair at the town meeting.

Answer:

9 hours in total

Step-by-step explanation:

Answer:

9 hours

Step-by-step explanation:

Firstly the would add 1 1/2 and 2 1/2.

4

Then you would add 2

6

Lastly you would add 3

9

Therefore, your answer would be 9 hours.

Answer:

-2, -1, 0, 1, 2

Step-by-step explanation:

Answer:

B,D,E on edg 2021

Step-by-step explanation:

Answer:

142.5 ft^2

Step-by-step explanation:

You need to calculate each figure separately

area of the first rectangle = 5 x 4 = 20

area of the second rectangle = (5+6)x(4) = 44

area of 1/4 circle =  1/4π(10^2) = (1/4) x 3.14 x 100 = 78.5

area of figure: 78.5 + 20 + 44 = 142.5

Answer:

To find the area of this figure, we need to first determine its shape. The lengths given do not form a clear shape, so we need more information to determine the shape.

Assuming that the shape is a trapezoid with the bases of 6ft and 10ft, and a height of 5ft, we can use the formula for the area of a trapezoid:

Area = (b1 + b2) / 2 * h

where b1 and b2 are the lengths of the two parallel bases, and h is the height of the trapezoid.

Plugging in the values, we get:

Area = (6ft + 10ft) / 2 * 5ft

Area = 8ft * 5ft

Area = 40 sq ft

Area ≈ 3.73 sq m (rounded to two decimal places)

Therefore, the area of this figure is approximately 3.73 square meters.

(If it wasn't in decimals, it would be 40 square feet.)

Hopefully this helped! I'm sorry if it's wrong. If you need more help, ask me! :]

Marcia or her agency could respond to such criticism by emphasizing the importance of advocating for public health issues and the responsibility of healthcare professionals to address the broader social determinants of health.

They could highlight that nurses, like Marcia, have a unique perspective on the healthcare system and the well-being of their patients, which extends beyond individual patient care. The response could address the following points:

a) Commitment to public health: Marcia and her agency can emphasize their commitment to public health, emphasizing that advocating for policy changes and addressing social issues that affect health outcomes is an integral part of their profession.

b) Evidence-based approach: They can highlight that their advocacy efforts are grounded in evidence-based research, citing studies and data that support the need for policy changes in the specific issue at hand.

This would demonstrate that their actions are not merely political but based on the best interests of public health.

c) Collaboration and stakeholder involvement: Marcia and her agency can mention their efforts to collaborate with other healthcare professionals, community organizations, and policymakers to ensure that their advocacy is well-informed, inclusive, and representative of the needs and perspectives of various stakeholders.

d) Ethical and professional obligations: They can assert that as healthcare professionals, they have an ethical duty to promote the well-being of their patients and the community as a whole.

Advocacy for policy changes that address systemic issues impacting health aligns with this duty.

e) Separation of personal and professional life: Marcia or her agency can emphasize that while individuals may hold personal political beliefs, their advocacy work is separate from their professional responsibilities.

They can highlight that their actions are motivated by the desire to improve the health and well-being of the community, rather than personal political affiliations.

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If E is not closed or is not bounded, then there may not be some positive number c so that f(e) > c for all e ∈ E .

Suppose that E is not closed, then there exists a limit point a of E such that a ∉ E. For this limit point a, we can choose a sequence of points in E that converges to a. Since f(x) > ε for all x ∈ E ∩ (e − ε, e + ε), we have that f(x) > ε for all x in the sequence that converges to a.

However, since a is not in E, we cannot find an ε > 0 such that f(x) > ε for all x ∈ E ∩ (a − ε, a + ε), so we cannot find a positive number c such that f(e) > c for all e ∈ E.

Now suppose that E is not bounded. Then for every positive number M, there exists a point e ∈ E such that |e| > M. We can choose ε = |e|/2, and then we have that f(x) > ε for all x ∈ E ∩ (e − ε, e + ε). However, since E is not bounded, we can always choose M large enough so that ε = |e|/2 > M, and then we cannot find a positive number c such that f(e) > c for all e ∈ E.

Therefore, if E is not closed or is not bounded, then there may not be some positive number c so that f(e) > c for all e ∈ E.

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The hypothesis test is right-tailed because the alternative hypothesis is that the proportion p is greater than 0.7. The calculated P-value is 0.1562, which is greater than the significance level of 0.05. Therefore, we fail to reject the null hypothesis that p ≤ 0.7. We do not have enough evidence to conclude that the proportion p is greater than 0.7 at a significance level of 0.05.

The hypothesis test is right-tailed because the alternative hypothesis is that the proportion p is greater than 0.7.

To find the P-value, we need to calculate the probability of obtaining a test statistic as extreme or more extreme than the observed value of 1.02, assuming the null hypothesis is true. Since this is a right-tailed test, the P-value is the area to the right of the observed test statistic in the standard normal distribution. We can use a standard normal distribution table or a calculator to find this probability.

P(Z > 1.02) = 0.1562

To determine whether to reject or fail to reject the null hypothesis at a significance level of α = 0.05, we compare the P-value to α. If the P-value is less than α, we reject the null hypothesis. If the P-value is greater than or equal to α, we fail to reject the null hypothesis.

In this case, the P-value is 0.1562, which is greater than α = 0.05. Therefore, we fail to reject the null hypothesis that p ≤ 0.7. We do not have enough evidence to conclude that the proportion p is greater than 0.7 at a significance level of 0.05.

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Answer:

Zeroes: None

Domain: All real numbers

Maximum: None

Step-by-step explanation:

EDGE PRECAL 2020

Answer:ZERO-none

Domain:all real numbers

Maximum:nun

Step-by-step explanation:

When we want to determine the goodness of fit in a linear regression model, we need to review R2 and the F statistic. Option D .

R2, or the coefficient of determination, is a measure of how well the linear regression model fits the data. It represents the proportion of the total variation in the dependent variable that is explained by the independent variable(s). R2 ranges from 0 to 1, where 0 indicates no fit and 1 indicates a perfect fit.

The F statistic, on the other hand, tests whether the linear regression model as a whole is statistically significant. It compares the variation explained by the model to the variation that cannot be explained by the model. If the F statistic is greater than the critical value at a certain level of significance (e.g., 0.05), then we can reject the null hypothesis that the model is not significant.

Therefore, to determine the goodness of fit in a linear regression model, we need to review R2 to understand how well the model fits the data, and the F statistic to test the overall significance of the model. Other coefficients, such as B1 (slope) and the alpha test (test for significance of individual regression coefficients), may also be useful for understanding the model, but they are not the primary measures of goodness of fit.

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The height of the ladder is 9.16 feet. Option C shows the correct height of the ladder.

Given that the length of the ladder is 10 feet. The bottom of the ladder was placed 4 feet from the bottom of the tree.

The attachment shows the arrangement of the ladder. The attachment shows a right-angle triangle in which the value of base and hypotenuse is given. The length is given as below.

\(H ^2 = B^2 + L^2\)

Here H is the hypotenuse of the triangle which is the ladder, B is the base of the triangle which is the distance of the ladder from the bottom of the tree and L is the length of the triangle which is the height of the ladder on the tree.

\(10^2 = 4^2 + h^2\)

\(h^2 = 100 - 16\)

\(h = 9.16 \;\rm Feet\)

Hence we can conclude that the height of the ladder is 9.16 feet. Option C shows the correct height of the ladder.

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Approximately 3.3 inches of rainfall per year.

If central Pennsylvania received only one-third of the usual rainfall in a really dry year, it would be receiving 1/3 * the usual amount of rainfall per year.

In an average year,

     Pennsylvania gets about the same amount of rainfall as a desert, which is typically defined as an area that receives less than 10 inches of precipitation per year.

Therefore, if central Pennsylvania received only one-third of the usual amount of rainfall in a really dry year, it would be receiving,

   1/3 * 10 inches = approximately 3.3 inches of rainfall per year.

This amount of rainfall is significantly less than the average rainfall in Pennsylvania and would qualify as a desert if it persisted over a long period of time.

Hence, Approximately 3.3 inches of rainfall per year.

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C. The probability of the type I error best defines the notion of the significance position of a thesis test.

The significance position, denoted by alpha( α), is the probability of rejecting the null thesis(H_o) when it's actually true. This is also known as a type I error, which occurs when we inaptly reject a true null thesis.

Option a isn't correct because the probability of rejecting H_o, whether it's true or not, isn't fixed and depends on the sample and the chosen significance position.

Option b isn't correct because it describes the p- value, which is a affiliated conception but not the significance position. The p- value is the probability of observing a sample statistic as extreme or more extreme than the one actually attained, assuming the null thesis is true.

Option d is also not correct because it describes the probability of a type II error, which occurs when we fail to reject a false null thesis. The probability of a type II error is denoted by beta( β) and is told by factors similar as sample size and effect size.

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This expression represents the same value as log2(3) but uses base 10 logarithms instead.

To rewrite log2(3) using the change of base formula, follow these steps:

1. Identify the given base, which is 2, and the argument, which is 3.

2. Choose a new base for the logarithm. Common choices are base 10 (common logarithm) or base e (natural logarithm). Let's use base 10 for this example.

3. Apply the change of base formula, which states: log_b(a) = log_c(a) / log_c(b), where b is the original base, a is the argument, and c is the new base.

So, to rewrite log2(3) using the change of base formula with base 10, you would get:

log2(3) = log10(3) / log10(2)

This expression represents the same value as log2(3) but uses base 10 logarithms instead.

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Answer:

$5.29 per pair of socks

Step-by-step explanation:

26.45/5=5.29

Answer:

50 km/hr

Step-by-step explanation:

D = RT

Time for first part of trip = 80/60 = 4/3 hr.

Time for second part of trip = 20/30 = 2/3 hr.

total time for entire trip = 4/3 + 2/3 = 6/3 = 2 hr.

Total distance = 100 km

Average rate of speed for entire trip = 100/2 = 50 km/hr

Answer:

acute

Step-by-step explanation:

Answer:

it’s -93

Step-by-step explanation:

Answer:

(x + 2)^2-9

How to find answer:

Use the formula (b/2)^2 in order to complete the square.

Hope this helps :)

Answer:

-2 < a

Step-by-step explanation:

Answer:

228 I believe

Step-by-step explanation:

Input the values first

3\((7)^{2}\) + \(9^{2}\)

PEMDAS it so exponents first

Even though the 7 is in () it's being multiplied by 3 is exponent would still come first

3(49) + 81

147 + 81 = 228

Answer:

228

Step-by-step explanation:Take 7 and multiply it by itself. you get 49. times 49 by 3 you get 147. Take 9 and multiply it by itself. You get 81. 147 plus 81 = 228

Answer and Explanation: The conditions when the net force and the net torque are zero are called static equilibrium.