CAN SOMEONE PLEASE HELP ME WITH THIS :((
What is the value or arc PQ? Only enter numerical values.​

Answer:

2/15

Step-by-step explanation:

Answer: y=(2/5)x-3

Step-by-step explanation:

\(\displaystyle\\The\ slope=\frac{2}{5}\ \ \ \ \ (0,3) \\y=\frac{2}{5}x+b \ \ \ \ \ (1)\\\)

Substitute the coordinates of the point (0,3) into equation (1):

\(\displaystyle\\-3=(\frac{2}{5}) (0)+b\\\\-3=b\\\\Thus,\\\\y=\frac{2}{5}x-3\)

The correct first step for solving the equation 3(x+8) = 42 is (3×x)+(3×8) = 42.

For the given equation;

3(x+8) = 42

The first step will be to open the parenthesis, and multiply each term with 3.

(3×x)+(3×8) = 42.

Thus, the first step to solve the linear equation is  (3×x)+(3×8) = 42.

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Answer:

$2100

Step-by-step explanation:

I = prt

I = $1500(0.05)(8)

I = $1500(0.4)

I = $600

$1500 + $600

= $2100

Step-by-step explanation:

is there a picture to the question it would help with the question

Answer:

10 & 4

Step-by-step explanation:

Let the numbers are a and b.

Their average = 7

= > ( a + b ) / 2 = 7

= > a + b = 2 * 7 = 14 ...( 1 )

Also,

= > 3 times of difference between a and b = 18

= > 3( a - b ) = 18

= > a - b = 6 ... ( 2 )

adding ( 1 ) & ( 2 ) :

= > ( a + b ) + ( a - b ) = 14 + 6

= > 2a = 20

= > a = 10

Thus,

= > a + b = 14 → 10 + b = 14

= > b = 14 - 10 = 4

Answer:

\({ \tt{2 + 2kx + 4k - 3 = 0}} \\ \\ { \tt{0 {x}^{2} + 2kx + (4k - 1) = 0 }}\)

for unreal roots: b² < 4ac

• b is 2k

• a is 0

• c is 4k - 1

\({ \tt{ {(2k)}^{2} < (4 \times 0 \times 4k - 1)}} \\ \\ { \tt{4 {k}^{2} < 0 }} \\ \\ { \boxed{ \tt{k < 0}}}\)

John scored 110 points in total.

A equation is used to equate two expressions. For example -

4x + 4 = 7

Given is that John, scores 35 more than triple the amount of points than Amy. Amy scores 25 points.

The total points scored by john would be -

{p} = 3{a} + 35                                                        .... Eq { 1 }

{p} = 3 x 25 + 35

{p} = 110 points

Therefore, John scored 110 points in total.

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Answer:

Step-by-step explanation:

34 and m=7

Answer:

34 and m=7...

 When a  null hypothesis is not rejected, a type ii error has occurred.

A null hypothesis being a statistical hypothesis, states that no statistical significance can be present in a set of observations. Usually, hypothesis testing is a method used to judge the veracity of a given sample.

Sometimes, it is called just null, or even it has a symbol, viz, \(H_0\).

We consider generally 4 cases:

According to the given question, we have not rejected the null hypothesis.

Thus,  we have two options present, either the type ii error has occurred and null hypothesis is not present, or the null hypothesis is present.

Concluding, when a null hypothesis is accepted, it is possible that a type ii error has occurred.

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The y-intercept of a function happens when the function "cuts" the y-axis.

This can be calculated as the value of the function f(x) when x=0.

Then, if we replace x by 0, we get the y-intercept:

The y-intercept for this function is f(0)=18.

the solution to the equation is z ≈ 13.75.

In mathematics, an equation is a statement that asserts the equality of two expressions. An equation typically contains one or more variables, which are unknown values that can take on different values or be solved for.

For example, the equation 3x + 7 = 16 asserts that the expression 3x + 7 is equal to 16, and the variable x is an unknown value that can be solved for.

Let's simplify and solve the equation for z:

3.2(z+15.1) = 4.4(2.3z-10.6)

First, distribute the factors:

3.2z + 48.32 = 10.12z - 46.84

3.2z - 10.12z = -46.84 - 48.32

Combine like terms:

-6.92z = -95.16

Finally, solve for z by dividing both sides by -6.92:

z = (-95.16) / (-6.92)

z ≈ 13.75

Therefore, the solution to the equation is z ≈ 13.75.

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To determine the p-value, we need to conduct a hypothesis test to compare the observed sample proportion (52 out of 100) with the hypothesized proportion (64%).

The null hypothesis (H₀) assumes that the proportion of students applying for graduate school is 64%, while the alternative hypothesis (H₁) suggests that the proportion is different from 64%. To calculate the p-value, we can use the normal approximation to the binomial distribution. Under the null hypothesis, the distribution of the sample proportion follows a normal distribution with mean equal to the hypothesized proportion (64%) and standard deviation equal to the square root of (p * (1-p) / n), where p is the hypothesized proportion and n is the sample size

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Answer:

8. \(-\frac{1}{9}\) and 1

9. \(-\frac{1}{2}\) and -5

Step-by-step explanation:

Hope this helps ;)

Answer:

$697

Step-by-step explanation:

Given that :

Weekly earning = $375 plus 7% commission on sales

Earning if she sold $4600 worth of merchandise

Commision on sales = 7% of 4600

Commission = 0.07 * 4600

Commission on sales = $322

Total earning = $375 + $322

Total earning = $697

Answer:

2*(5x+4) + 2*(3x+2)

= 10x + 8 + 6x + 2

= 16x + 10

The perimeter of the rectangle, in feet, is represented by (16x + 10)

Answer:

(16x + 12) ft

Step-by-step explanation:

Perimeter of the rectangle = 5x + 4 + 3x + 2 + 5x + 4 + 3x + 2

Perimeter of the rectangle = (16x + 12) ft

A boxplot represents the distribution of data using a five number summary

From the male's boxplot, we have the following data elements

The IQR is then calculated as:

IQR = Q3 - Q1

So, we have:

IQR = 14 - 2

IQR = 12

Hence, the IQR for the males' data is 12

From the boxplots, we have:

The difference (d) between the median values is

d = 18 - 10

d = 8

Hence, the difference between the median values of each data set is 8

The male's data has an outlier, while the female's data does not have any outlier

Hence, the median is a better measure of center for the male's data, while the mean is a better measure of center for the female's data

A possible reason for outliers is sampling problems

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The missing side of the right triangle is as follows:

a = 22.7 units

b = 10.6 units

A right angle triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.

The sides a and b can be found using trigonometric ratios as follows:

Hence,

sin 25 = opposite / hypotenuse

sin 25° = b / 25

cross multiply

b = 25 sin 25

b = 25 × 0.42261826174

b = 10.5654565435

b = 10.6 units

cos 25 = adjacent / hypotenuse

cos 25 = a / 25

cross multiply

a = 25 cos 25

a = 22.6576946759

a = 22.7 units

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In business calculus, the term "functions" refers to mathematical relationships that associate inputs (typically denoted as x) with corresponding outputs (typically denoted as y). Functions can represent various aspects of business operations, such as revenue, cost, profit, demand, and supply.

The concept of "limits" in calculus deals with the behavior of a function as the input approaches a particular value. It determines the value that the function approaches or tends to as the input gets arbitrarily close to a specified value. Limits are essential for analyzing the behavior of functions near certain points, understanding rates of change, and evaluating derivatives and integrals.

"Continuity" of a function refers to its smooth and unbroken nature, without any abrupt jumps, holes, or vertical asymptotes. A function is continuous if its graph can be drawn without lifting the pen from the paper. Continuity ensures that small changes in the input correspond to small changes in the output, which is crucial for reliable analysis and prediction.

For example, consider the function f(x) = 2x + 1. This linear function represents a business scenario where x represents the number of units sold, and f(x) represents the total revenue generated. The limit of f(x) as x approaches 2 is 5, indicating that as the number of units sold approaches 2, the total revenue approaches $5. Since f(x) = 2x + 1 is a linear function, it is continuous across its entire domain.

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The given integral can be transformed into polar coordinates to evaluate it more conveniently.  The evaluated integral is 0.

To change the given integral to polar coordinates, we need to express the differential area element dA in terms of polar coordinates. In polar coordinates, we have dA = r dr dθ, where r represents the radial distance from the origin and θ represents the angle. The limits of integration also change accordingly. Since D is the top half of the disk, the range of θ is from 0 to π, and the range of r is from 0 to 5 (the radius of the disk).

After converting to polar coordinates, the integral becomes ∫∫D 5r^2 cos(θ) dr dθ. The integration is now separated into two parts: an integration with respect to r and an integration with respect to θ. The inner integral with respect to r can be evaluated as (5/3) r^3 cos(θ) evaluated from 0 to 5. This simplifies to (125/3) cos(θ). The outer integral with respect to θ is then evaluated as ∫₀^π (125/3) cos(θ) dθ. This integration yields (125/3) sin(θ) evaluated from 0 to π, resulting in a final answer of 0.

Therefore, the evaluated integral is 0. By converting to polar coordinates, we transformed the integral into a simpler form that allowed us to evaluate it more easily.

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We will solve as follows:

a. We will find the measure of the angle using the following expression:

Here a, b & c are the sides delimited by the triangle formed inside the circle and the points given and C is the angle between them. Now, we solve for C, then replace and solve[This can be seen in the following graph]:

Now, we determine the values of a. b and c using the points given and the vertex:

Now, we replace the values on the formula and solve for C:

And that in radians is:

So, the angle is approximately 1.89 radians.

b.

We will find the distance he traveled along the arc as follows:

Here s is the arc length, theta the angle and r the radius, now we replace:

So, he traveled approximately 39.69 feet.

The correct answers are:

- Question 8: All of these answers are correct.

- Question 9: 720.

- Question 10: Sample is used to estimate the population parameter.

- Question 11: Decreases.

- Question 12: 200 and 2.

- Question 13: Approximately normal for large sample sizes.

- Question 14: 0.9772.

Question 8: The point estimators are μ (population mean) and s (sample standard deviation). The symbol σ represents the population standard deviation, not a point estimator. Therefore, the correct answer is "All of these answers are correct."

Question 9: To determine the number of different samples of size 3 (without replacement) from a population of size 10, we use the combination formula. The formula for combinations is nCr, where n is the population size and r is the sample size. In this case, n = 10 and r = 3. Plugging these values into the formula, we get:

10C3 = 10! / (3!(10-3)!) = 10! / (3!7!) = (10 x 9 x 8) / (3 x 2 x 1) = 720

Therefore, the answer is 720.

Question 10: In point estimation, the sample is used to estimate the population parameter. So, the correct answer is "sample is used to estimate the population parameter."

Question 11: As the sample size increases, the variability among the sample means decreases. This is known as the Central Limit Theorem, which states that as the sample size increases, the distribution of sample means becomes more normal and less variable.

Question 12: The mean of the distribution of sample means is equal to the mean of the population, which is 200. The standard error of the distribution of sample means is equal to the standard deviation of the population divided by the square root of the sample size. So, the standard error is 18 / √81 = 2.

Question 13: For a population with an unknown distribution, the form of the sampling distribution of the sample mean is approximately normal for large sample sizes. This is known as the Central Limit Theorem, which states that regardless of the shape of the population distribution, the distribution of sample means tends to be approximately normal for large sample sizes.

Question 14: To find the probability that the mean from a sample of 49 observations will be larger than 82, we need to calculate the z-score and find the corresponding probability using the standard normal distribution table. The formula for the z-score is (sample mean - population mean) / (population standard deviation / √sample size).

The z-score is (82 - 80) / (7 / √49) = 2 / 1 = 2.

Looking up the z-score of 2 in the standard normal distribution table, we find that the corresponding probability is 0.9772. Therefore, the probability that the mean from the sample will be larger than 82 is 0.9772.

Overall, the correct answers are:

- Question 8: All of these answers are correct.

- Question 9: 720.

- Question 10: Sample is used to estimate the population parameter.

- Question 11: Decreases.

- Question 12: 200 and 2.

- Question 13: Approximately normal for large sample sizes.

- Question 14: 0.9772

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I think it is a D I'm not really sure

The molarity of the KOH solution is 0.4558 M for a 50 mL sample of KOH that is titrated with a 0.8186 M HCl solution. Also given that the titration requires 27.87 mL of HCl solution to reach equivalence point.

In this problem, we are given a 50.0 mL sample of KOH that is titrated with a 0.8186 M HCl solution. The titration requires 27.87 mL of the HCl solution to reach the equivalence point. To find the molarity of the KOH solution, we need to use the definition of molarity, which is the number of moles of solute per liter of solution.
First, we need to calculate the number of moles of HCl that reacted with the KOH. We can do this using the titration equation:
moles HCl = molarity of HCl x volume of HCl used
moles HCl = 0.8186 M x 0.02787 L
moles HCl = 0.02279 mol
Since KOH and HCl react in a 1:1 ratio according to the balanced equation, the number of moles of KOH in the sample is also 0.02279 mol.
Next, we can use the volume and concentration of the KOH sample to calculate its molarity:
molarity of KOH = moles KOH / volume of KOH sample (in L)
volume of KOH sample = 50.0 mL = 0.0500 L
molarity of KOH = 0.02279 mol / 0.0500 L
molarity of KOH = 0.4558 M
Therefore, the molarity of the KOH solution is 0.4558 M.

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So, on solving the provided question, we cans ay that value o the  quadratic equation (x+1)(x+1) => x = -1, -1

A quadratic equation is x ax2+bx+c=0, which is a quadratic polynomial in a single variable. a 0. The Fundamental Theorem of Algebra ensures that it has at least one solution since this polynomial is of second order. Solutions may be simple or complicated. An equation that is quadratic is a quadratic equation. This indicates that it has at least one word that has to be squared. The formula "ax2 + bx + c = 0" is one of the often used solutions for quadratic equations. where are numerical coefficients or constants a, b, and c. where the variable "X" is unidentified.

the quadratic equation will be

\(y=(x+1)^2\)

so,

(x+1)(x+1)

x = -1, -1

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The correct question is -

What is the restricted domain of the quadratic(y=(x+1)^2) that would ensure that the inverse is a function?

The domain of the definition of the function is (-∝, 3) ∪ (1, ∝)

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

f(x) = 1/x² + 2x - 3

Set the denominator to 0

So, we have the following representation

x² + 2x - 3 = 0

Expand the equation

x² + 3x - x - 3 = 0

Factorize the equation

(x + 3)(x - 1) = 0

Solve for x

x = -3 or x = 1

This means that the value of x cannot be -3 or 1

So, the domain is (-∝, 3) ∪ (1, ∝)

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Answer:

$90

Step-by-step explanation:

First you find the total area of the shape:

9ft times 6 ft times 5 ft= 270 ft

divide 270 ft by 3 to get the amount of money that Maya will pay.

270 divided by 3 is 90

so the answ er is $90