5. Which side lengths form a right triangle?
Check all that apply.

Answer:

69

Step-by-step explanation:

becuz

Answer:

To determine the linear function that models the data, we will use the points (0, 24594) and (4, 29564).

(a) First, let's find the slope (a) of the linear function using the formula:

a = (y₂ - y₁) / (x₂ - x₁)

a = (29564 - 24594) / (4 - 0)

a = 4965.5

Now, let's substitute one of the points into the linear equation to find the y-intercept (b).

24594 = 4965.5(0) + b

24594 = b

Therefore, the linear function that models the data is:

f(x) = 4965.5x + 24594

The slope of the graph represents the rate of change, indicating how much the average tuition and fees increase per year. In this case, the slope of 4965.5 suggests that, on average, the tuition and fees increase by approximately $4965.5 per year.

(b) To approximate the average tuition and fees in 2016, we can substitute x = 3 into the linear function:

f(3) = 4965.5(3) + 24594

f(3) = 14896.5 + 24594

f(3) ≈ 39490.5

The approximate average tuition and fees in 2016, according to the linear function, is $39,491. Comparing it to the actual figure given in the table, $28,015, we can see that the approximation is higher.

(c) To find the equation of the line of best fit using linear regression, we can use a graphing calculator or statistical software. The equation will provide the most accurate representation of the data.

Using linear regression with the given data, the equation of the line of best fit is:

y = 2088.2x + 24594

Please note that the values might vary slightly depending on the method used for linear regression.

Step-by-step explanation:

Answer:

The friends split the bill at 15.32$

Step-by-step explanation:

So to find how much each paid you would take the bill total and divide it by the amount of people in this case three

And for the equation it would be 45.96/3=15.32$

The equation to model the solution to the problem would be; 3x = 45.96. the friends split the bill at 15.32 dollars.

An equation is an expression that shows the relationship between two or more numbers and variables. A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be one degree.

Given that the dinner for Lorenzo and his 3 friends costs $45.96.

To determine how much each paid would take the bill total

Therefore, we will divide it by the number of people in this case three

3x = 45.96

x = 45.96/3

x  = 15.32$

And for the equation would be; 3x = 45.96

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Answer:

The constant of proportionality between 'y' and 'x' in the graph is 0.75

Step-by-step explanation:

The constant of proportionality is the constant ratio between two quantities that are directly proportional.

When two quantities are directly proportional, then a percentage increase in one of the quantities will result in an equal percentage increase in the other quantity, and the two quantities are therefore, increasing at the same rate to each other

From the graph we have;

When x = 0, y = 0, all graphs of directly proportional relationships have  x = 0 when y = 0

However;

When x = 2, y = 1.5

When there is an 100% increase, we have;

When x = 2 + 100/100 ×2 = 4, y = 1.5 + + 100/100 ×1.5 =3

Therefore, when x = 4, y = 3

The constant of proportionality = The ratio between each 'y' and 'x' value

∴ The constant of proportionality = y/x = 1.5/2 = 3/4 = 0.75

Therefore;

The constant of proportionality between 'y' and 'x' in the graph = 0.75.

Based on the fictitious study of gender and ear piercing in high school students, we can conclude that the sample provides evidence that is too weak to conclude that gender and ear piercing are dependent in the population of high school students. Gender and ear piercing for high school students may be independent.

The study did not provide strong evidence that gender and ear piercing for high school students are dependent. In addition, the differences between observed and expected counts could be attributed to chance variation that occurs in random samples of high school students when gender and ear piercing are independent.

Therefore, the conditions are not met for use of the chi-square test of independence, and we cannot draw a conclusion based on this data.

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The excluded values for the expression are x=-3 and x=2.

To find the values of x for which the expression (x-1)/(x^2+x-6) is undefined, we need to identify the values that would make the denominator equal to zero.

The denominator of the expression is x^2 + x - 6. To factorize this quadratic expression, we are looking for two numbers that multiply to -6 and add up to +1. By factoring the expression, we get:

x^2 + x - 6 = (x + 3)(x - 2)

Now, to find the values that make the denominator equal to zero, we set each factor equal to zero and solve for x:

x + 3 = 0   =>   x = -3

x - 2 = 0   =>   x = 2

Therefore, the values x = -3 and x = 2 result in a denominator of zero. These are the excluded values for the expression (x-1)/(x^2+x-6). For any other value of x, the expression is defined.

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\(\huge\text{Hey there!}\)

\(\huge\textbf{Keep in mind:}\)

\(\large\textbf{When you hear or see the word \boxed{quotient} in mathematics}\\\large\textbf{usually it means the RESULT/ANSWER of a division}\\\large\textbf{equation.}\)

\(\huge\textbf{Assuming:}\)

\(\mathbf{\dfrac{1}{3}}\)

\(\mathbf{\dfrac{1\leftarrow \boxed{\mathsf{dividend}}}{3\leftarrow \boxed{\mathsf{divisor}}} = result \leftarrow \boxed{\mathsf{quotient}}}\)

\(\mathbf{1 \leftarrow \boxed{\rm{dividend}} \div 3 \leftarrow \boxed{\rm{divisor}} = result\leftarrow \boxed{\rm{quotient}}}\)

\(\uparrow\huge\textbf{Simplify \& you'll have the quotient}\uparrow\)

\(\mathbf{Quotient \rightarrow 0.333333333}\)

\(\mathbf{Quotient \approx 0}\)

\(\huge\textbf{Therefore, your answer should be:}\)

\(\huge\boxed{\mathsf{0}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Answer:

The specific heat of the brass can be calculated using the formula:

Q = mcΔT

where Q is the heat transferred, m is the mass of the brass, c is the specific heat of the brass, and ΔT is the change in temperature.

First, calculate the heat transferred from the brass to the water:

Qbrass = mcΔT = (125 g)(c)(100 °C - 35 °C) = 9375c J

Next, calculate the heat transferred from the water to the brass:

Qwater = mcΔT = (76 g)(4.184 J/g. °C)(35 °C - 25 °C) = 3191.84 J

Since the heat lost by the brass is equal to the heat gained by the water:

Qbrass = Qwater

9375c J = 3191.84 J

c = 0.34 J/g. °C

Therefore, the specific heat of the brass is 0.34 J/g. °C.

Step-by-step explanation:

The equation that can be used to find the number of lessons Fred must teach this month for the amount he brings in to equal the amount he spends is: 60n = 114.5 + 45.5 + 20n. So, Fred must teach 0.8 or approximately 1 lesson this month for the amount he brings in to equal the amount he spends.

The expression for the expenses for Fred in a month would be: $114.50 (online advertisements) + $45.50 (website) + $20n (cost of using the pool facilities) = $160n

In a month, Fred earns $60 per lesson. If n is the number of lessons he teaches, then he earns a total of 60n.To find how many lessons Fred must teach this month for the amount he brings in to equal the amount he spends, we can equate the earnings with the expenses and solve for n: 60n = 160n + 100n + 114.5 + 45.5

60n = 160n + 100n + 160

60n = 260n + 160

-200n = 160

n = 160/-200 n = -0.8

Therefore, Fred must teach 0.8 or approximately 1 lesson this month for the amount he brings in to equal the amount he spends.

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The sides of a regular polygon are equal.

The new polygon has 9 sides.

From the question, we understand that;

The octagon and the equilateral triangle are joined together.

When both shapes are joined, they both lose one sides, each.

This means that, the octagon becomes 7-sided, while the triangle becomes 2-sided.

So, the number of sides (n) of the resulting shape is:

\(n = 7 + 2\)

\(n = 9\)

Hence, the shape has 9 sides.

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Answer: Yes

Step-by-step explanation:

Given

Kwasi earned \(\$60\) in babysitting

He spends 40% of the money in buying drinks

Money spend is given by

\(\Rightarrow 60\times 40\%\\\Rightarrow \$24\\\text{Remaining amount is}\\\Rightarrow 60-24=\$36\)

So, Kwasi has enough money left to buy a skateboard.

Answer:

Step-by-step explanation:

Convert mixed fraction to improper fraction.

\(1\frac{5}{8}*2\frac{2}{3}=\frac{13}{8}*\frac{8}{3}\\\\\\=\frac{13}{3}\\\\\\=4\frac{1}{3}\)

Answer:

4 1/3

Step-by-step explanation:

1 5/8 × 2 2/3

First we turn it into an improper fraction:

1 5/8 × 2 2/3 = 13/8 × 8/3

Now we multiply them across:

13/8 × 8/3 = 104/24

Now we simplify:

104/24 = 13/3

because 3 × 8 = 24 and 13 × 8 = 104

Now we simplify again because we can't leave it as an improper fraction. So we turn it into a mixed fraction:

13/3 = 4 1/3

4 1/3 is answer

Answer:

the x-coordinate and y-coordinate change places.

Step-by-step explanation: so you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed). the line y = x is the point (y, x). the line y = -x is the point (-y, -x).

The procedure for revising probabilities based on additional information is referred to as Bayesian updating

The procedure for revising probabilities based on additional information is referred to as Bayesian updating. Bayesian updating is a fundamental concept in Bayesian statistics, which allows for the incorporation of new evidence or data to update and refine prior beliefs or probabilities.

In Bayesian updating, the process begins with an initial prior probability, which represents the initial belief or knowledge about an event or hypothesis before any evidence is observed. As new evidence or data becomes available, it is used to update the prior probability and generate a posterior probability. The posterior probability represents the revised belief or probability after incorporating the new information.

Bayesian updating follows the principles of Bayes' theorem, which mathematically describes the relationship between prior probabilities, likelihoods, and posterior probabilities. It involves combining the prior probability with the likelihood of observing the data given the hypothesis and then normalizing the result to obtain the posterior probability.

The beauty of Bayesian updating is that it allows for a flexible and iterative process of continuously updating beliefs and probabilities as new information emerges. It provides a framework for incorporating both subjective prior beliefs and objective data to make more informed decisions and predictions. Bayesian updating has applications in various fields, including machine learning, decision-making, and scientific research.

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Answer:

h can be any value.

Step-by-step explanation:

As long as each input as exactly one output, the value of h does not matter.

Translation, rotation, and reflection are three of the fundamental transformations.

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Since p(1) is true, by induction we conclude that p(n) is true for all positive integers n.

To prove the predicate p(n) by induction, we need to show that it is true for the base case n = 1, and that if it is true for some positive integer k, then it is also true for k+1.

Base case:

When n = 1, we have 2n - 1 = 1 player. In this case, there is no pairwise-distance, so the predicate p(1) is vacuously true.

Inductive step:

Assume that p(k) is true for some positive integer k. That is, whenever 2k - 1 players stand at distinct pairwise-distances and play arena dodgeball, there is always at least one survivor.

We will show that p(k+1) is also true, that is, whenever 2(k+1) - 1 = 2k + 1 players stand at distinct pairwise-distances and play arena dodgeball, there is always at least one survivor.

Consider the 2k+1 players. We can group them into two sets: the first set contains k players, and the second set contains the remaining player. By the pigeonhole principle, at least one player in the first set is at a distance of d or greater from the player in the second set, where d is the smallest pairwise-distance among the k players.

Now, remove the player in the second set, and consider the remaining 2k - 1 players in the first set. Since p(k) is true, there is always at least one survivor among these players. This survivor is also a survivor among the original 2k+1 players, since the removed player is farther away from all of them than the surviving player.

Therefore, we have shown that if p(k) is true, then p(k+1) is also true. Since p(1) is true, by induction we conclude that p(n) is true for all positive integers n.

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Answer:

A.

Step-by-step explanation:

A way to find the equation of the graph is to find the solutions.

On the graph, the solutions are where the function intersects the x-axis. That would be where x = -2, x = 1, and x = 3.

In the equations, you will need to find factors when the x is inputted, the factor equals 0. For example, one of the factors is (x + 2). This is because x + 2 = 0, so x = 0 - 2, so x = -2. So, the three factors are (x + 2), (x - 1), and (x - 3).

The correct equation is A.

Hope this helps!

Answer:

1) C

Step-by-step explanation:

Step 1)

First we have to plot ↓

2x ≥ y + 2

And that looks like Image 1

Step 2)

Second we have to plot ↓

2x - 5y ≤ 10

and that looks like Image 2

Answer:

A. infinitely many

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

Solving systems of equations

Step-by-step explanation:

If 2 lines are parallel (same slope, different y-intercept), they would have no solution.

If 2 lines were the same (same slope, same y-intercept), they would have infinite amount of solutions.

On a circle with a radius of 4 and center at (0, 0), to find the x and y coordinates at an angle of 180 degrees (or π in radian measure), we can use the trigonometric functions.

At 180 degrees, the x-coordinate will be 0, as it lies on the y-axis. The y-coordinate can be found by using the sine function.  Using the equation y = r * sin(θ), where r is the radius and θ is the angle in radians, we can substitute the values. In this case, r is 4 and θ is π (since 180 degrees equals π radians).

Therefore, the x-coordinate is 0 and the y-coordinate is 4 * sin(π) = 0. So, the x-coordinate is 0 and the y-coordinate is also 0.
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A person pays $1 to play a certain game by rolling a single die once. if a 1 or 2 comes up, the person wins nothing. if, however, the player rolls a 3, 4, 5, or 6 he or she wins the difference between the number rolled and $1, this means that the game is not fair, based on the expected value

We can see that the expected value of the game can be found by multiplying each payout by its probability of occurring and then summing up the results:Expected value = (0.2)($1) + (0.2)($1) + (0.2)($2) + (0.2)($3) + (0.2)($4) + (0.2)($0) + (0.2)($0)Expected value = $0.40 Since the expected value of the game is positive, it means that, over the long run, players are expected to make money on average. This means that the game is not fair.

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Answer:

between 10 and 12

Step-by-step explanation:

Given the measure of angles:

m∠B = 70°

m∠C = 60°

m∠A = 50°

Following this information, since the side lengths are directly proportional to the angle measure they see:

Angle B is the largest angle. Therefore, side AC is the longest side of the triangle since it is opposite of the largest angle.

Angle C is the smallest angle, so the side AB is the shortest side.

Therefore, side BC must be between 10 and 12 inches.

Answer:

wait I'm gonna ask my sister to help you answer wait a minute

Answer

well first u put it as 2/2 which is 2 then you have to times it by 69 which is 138 then divide that by 6.5 which is 21

Step-by-step explanation:

actual answer is 4 if you were serious about this

Answer: 4

Step-by-step explanation:

Use your hands:

2 on one hand

2 on the other hand

Put them together which is 4

We can conclude that the mayor's plan for annexation is likely to be supported by the town's residents.

What do you mean by  Annexation?

International law defines annexation as the forcible acquisition of one state's territory by another state, typically after the possession of the region by an occupying military force. In most cases, it is considered to be unlawful.

According to the question,

We have the given data:

A political study took a sample of 1,600 voters in the town and found that 69% of the residents favored annexation.

The conclusion of the hypothesis test is that we reject the null hypothesis that the percentage of residents who favor annexation is 65% or lower. The sample data suggests that 69% of residents favor annexation and the p-value associated with the test statistic is 0.07, which is less than the significance level of 0.05.

This indicates that the data is significantly different from the null hypothesis and that the true percentage of residents who favor annexation is likely greater than 65%.

Therefore, we can conclude that the mayor's plan for annexation is likely to be supported by the town's residents.

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Answer:

Step-by-step explanation:

The cheapest price for ten (10) rolls would be = £25.50. That is option B.

The wallpapers are those designed paper materials that are used in decoration of a room.

The total number of wall paper that Salima needs to buy= 10 rolls.

A single roll of wallpaper = £9.20

A pack of 3 rolls= £25:50

That is 1 roll = X

make X the subject of formula;

£x = 25.50/3

£x = £8.5

A pack of 5 rolls = £43.05

That is 1 roll = X

make X the subject of formula;

£x = 43.05/3

£x = 14.35

Therefore, the cheapest price that can be used to buy 10 rolls would be = £25.50 because one roll would be = £8.5.

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Answer:

Pack of 3 rolls (total of £85.70

Step-by-step explanation:

25.5+25.5+25.5+9.20= £85.70

Equation: X x 5=32

Divide each side ÷5

X= 6.4

Answer:

private opinion poll is conducted for a politician to determine what proportion of the population favors decriminalizing marijuana possession. The politician is able t0 use a previous study that showed 78% of people approved of decriminalizing marijuana possession: How large of a sample should be polled in order to be 95% confident that the sample proportion will not differ from the true proportion by more than 2%2 Include a summary sentence. Why are the numbers for part a and part b above different?

We use the following formula to find the sample size: n = (z * z * p * q) / E * E = (1.96 * 1.96 * 0.50 * 0.50) / (0.05 * 0.05) = 384.16. The sample size required for the survey is 385.

Given that z = 1.96 (for 95% confidence interval), p = 0.50 (50% - we use 0.50 since we don't know the actual population proportion and assume it to be 50%), and E = 0.05.

In order to be confident that the sample proportion will not differ from the true proportion by more than, one must know the margin of error. The margin of error is the range in which a survey's results are believed to be accurate. The margin of error is the amount by which the survey results will differ from the actual survey results.

To determine how large a sample is required to be confident that the sample proportion will not differ from the true proportion by more than, one must know the margin of error.

The formula for determining the necessary sample size is: n = (z * z * p * q) / E * E where, z is the z-score that corresponds to the level of confidence desired p is the sample proportion q is 1 - pE is the desired margin of error

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