you roll a 6-sided die. what is p (divisor of 4)

Answer:

im sorry this looks difficult

my homework is the same

Step-by-step explanation:

Answer:

each inch divided into 5 lines meaning

the space between each line is 1/5.

Answer:

Fourths

Step-by-step explanation:

There are 4 spaces between the inches.

The set of conditions that describe a parallelogram are as follows:

Both pairs of opposite sides are congruent.

Both pairs of opposite sides are parallel.

Both pairs of opposite angles are congruent.

Any two consecutive angles are supplementary.

The above-described properties are used to define a parallelogram. A parallelogram is defined as a quadrilateral with both pairs of opposite sides parallel and congruent.The opposite sides of a parallelogram are congruent. All sides of the parallelogram are parallel to each other. The opposite angles are congruent and are equal in size. The consecutive angles are supplementary, meaning they add up to 180 degrees. The diagonal of a parallelogram bisects each other.

Parallelograms come in a variety of shapes and sizes. The properties of a parallelogram will remain the same regardless of its size or shape. All parallelograms are quadrilaterals, and they are categorized as such because they have four sides.

The parallelogram has several intriguing properties. Its properties, including its opposite sides being parallel and congruent, make it unique.The sum of the interior angles of a parallelogram is always 360 degrees. Additionally, the area of the parallelogram is equivalent to the product of its base and height.

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The values x and y that make the quadrilaterals parallelograms are:

a. x = 2 and y = 41

b. x = 4 and y = 3

a. Since opposite sides of parallelograms are equal in length. We can say:

2x + 7 = x + 9

2x - x = 9 - 7

x = 2

Also, two adjacent  angles of parallelograms adds up to 180 degrees. That is:

(2y - 5)° + (2y + 21)° = 180°

4y + 16 = 180

4y = 180 - 6

4y = 164

y = 164/4

y = 41

b. Since the diagonals divide each other equally. We can say:

x + 8 = 16 - x

x + x = 16 - 8

2x = 8

x = 8/2

x = 4

5y + 4 = 2y + 13

5y - 2y = 13 - 4

3y = 9

y = 9/3

y = 3

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The mean of the sampling distribution of p-hat is  p = 62.44%.

The sampling distribution of p-hat can be defined as the distribution of sample proportions. If we calculate sample proportions from multiple random samples of the same size from the same population and construct a frequency distribution of these proportions, we obtain a sampling distribution of p-hat.

The sample proportion (p-hat) is defined as the number of individuals in a random sample that possesses the characteristic of interest divided by the size of the sample. For a large number of samples, the frequency distribution of the sample proportions is a normal distribution, called the sampling distribution of p-hat.

The mean of the sampling distribution of p-hat is given by the formula μp-hat = p, where p is the population proportion. In this case, the population proportion is 62.44% (given in the question).

Therefore, the mean of the sampling distribution of p-hat is

μp-hat = p

=> 62.44%.

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Answer:

It takes \(13\frac{1}{8}\) teaspoons of baking powder to make 5 dozen jumbo muffins.

Step-by-step explanation:

Two quantities a and b are directly proportional if when multiplying or dividing one of them by a number, the other is multiplied or divided by that number. That is, if one magnitude grows, the other will grow in the same proportion; while if one magnitude decreases, the other will decrease in the same proportion.

The simple rule of three allows us to establish the relationship of proportionality between two known values ​​and, based on the knowledge of a third quantity, to calculate the value of the fourth.

In other words, it is necessary to know two magnitudes that will be proportional to each other, and a third magnitude, from which you want to find out, will be a fourth term through the relationship:

a ⇒ b

c ⇒ x

Then: \(x=\frac{c*b}{a}\)

where a, b, and c are the known data, and x is the fourth unknown.

In this case, the rule of three can be applied as follows: if 1 dozen contains 12 muffins, 5 dozen jumbo muffins, how many muffins does it contain?

\(amount of jumbo muffins=\frac{5 dozen*12 jumbo muffins}{1 dozen}\)

amount of jumbo muffins= 60

Now you apply the following rule of three: if 8 jumbo blueberry muffins requires 1 3/4 ( or, which is the same, 7/4)teaspoons of baking powder, 60 jumbo muffins how many teaspoons of baking powder does it require?

\(teaspoons of baking powder=\frac{60*\frac{7}{4} }{8}\)

teaspoons of baking powder= \(\frac{105}{8}\) = \(13\frac{1}{8}\)

It takes \(13\frac{1}{8}\) teaspoons of baking powder to make 5 dozen jumbo muffins.

Answer:

None of the expressions are equal to 4*106

Step-by-step explanation:

(2×108)(2×10-2) does not equal 4*106

40×105 does not equal 4*106

40 6 does not equal 4*106

400,000 does not equal 4*106

2×1093×102 does not equal 4*106

Answer:

f(5) = -2

Step-by-step explanation:

Hello! So, when we have f(5), that is in the form of f(x). That means that our x = 5. Another thing to note is that f(x) is equivalent to our y-coordinate: the x-coordinate is the x value in the equation and the value is the f(x) in the equation.

Now we need to locate where x = 5 on the graph. When you find that, you need to see what point falls on x = 5. That points y-coordinate is your answer.

So if we look at x=5, the point (5, -2) falls on it. So f(5) = -2.

Let me know if you have any questions.

Answer: 546496.76

Step-by-step explanation:

Given the following :

Current population = 220,000

Population growth rate per year = 7.25%

Population size after 13 years =?

Using the compounding formula :

A = P(1 + r)^t

Where ;

A = final population size

P = current population size

r = growth rate

t = time or period

A = P(1 + r)^t

A = 220,000 ( 1 + 7.25/100)^13

A = 220,000 ( 1 + 0.0725)^13

A = 220,000 (1.0725)^13

A = 220,000(2.484076)

A = 546496.760

The population will be about 546,497 people

The two spheres have equations

x² + y² + z² = r²

(x - 1)² + y² + z² = 1 - r²

By combining the equations, eliminating y and z and solving for x, we get

(x - 1)² - x² = (1 - r²) - r²

-2x + 1 = 1 - 2r²

x = r²

which is to say the two spheres meet in the plane x = r².

If we solve the two equations above for x, we can get two equations for the surfaces x = f(y, z) bounding the region of interest:

x² + y² + z² = r²   ⇒   x = ± √(r² - y² - z²)

(x - 1)² + y² + z² = 1 - r²   ⇒   x = 1 ± √(1 - r² - y² - z²)

There are actually four surfaces here, but two of these will not touch each other. For the sphere centered at (0, 0, 0), we want the "upper" hemisphere (in the region x > 0), and for the sphere at (1, 0, 0), we want the "lower" hemisphere (in x < 1). So our choice boils down to

x = √(r² - y² - z²)

x = 1 - √(1 - r² - y² - z²)

When x = r², the two equations reduce to the equation of circle,

(r²)² + y² + z² = r²   ⇒   y² + z² = r² - r⁴

Solving for y gives an upper and lower bound for y in terms of z :

y² + z² = r² - r⁴   ⇒   y = ± √(r² - r⁴ - z²)

If y = 0, then we can find constant upper and lower bounds for z :

z² = r² - r⁴   ⇒   z = ± √(r² - r⁴) = ± r √(1 - r²)

If R is the region of interest, then we can describe it in Cartesian coordinates by the set

\(R = \left\{ (x, y, z) : 1 - \sqrt{1-r^2-y^2-z^2} \le x \le \sqrt{r^2 - y^2 - z^2} \right. \\\\ \text{ and } -\sqrt{r^2 - r^4 - z^2} \le y \le \sqrt{r^2 - r^4 - z^2} \\\\ \left. \text{ and } -r \sqrt{1-r^2} \le z \le r \sqrt{1-r^2} \right\}\)

and so the volume we want is

\(V(r) = \displaystyle \iiint_R dV\)

\(V(r) = \displaystyle \int_{-r\sqrt{1-r^2}}^{r\sqrt{1-r^2}} \int_{-\sqrt{r^2-r^4-z^2}}^{\sqrt{r^2-r^4-z^2}} \int_{1-\sqrt{1-r^2-y^2-z^2}}^{\sqrt{r^2-y^2-z^2}} dx \, dy \, dz\)

To make computation easier, convert to cylindrical or spherical coordinates. Cylindrical is the better choice, so I'll do that. Set

x(ξ, ρ, θ) = ξ … … … (ξ = "xi")

y(ξ, ρ, θ) = ρ cos(θ) … … … (ρ = "rho")

z(ξ, ρ, θ) = ρ sin(θ)

The Jacobian for this transformation is

\(J = \begin{bmatrix}x_\xi & x_\rho & x_\theta \\ y_\xi & y_\rho & y_\theta \\ z_\xi & z_\rho & z_\theta\end{bmatrix} = \begin{bmatrix}1&0&0\\0&\sin(\theta)&\rho\cos(\theta) \\ 0&\cos(\theta)&-\rho\sin(\theta)\end{bmatrix}\)

with |det(J)| = |ρ|. Then the volume element is

dV = dx dy dz = |ρ| dξ dρ dθ

Under this transformation, the bounding surfaces' equations become

ξ = √(r² - ρ² cos²(θ) - ρ² sin²(θ)) = √(r² - ρ²)

ξ = 1 - √(1 - r² - ρ² cos²(θ) - ρ² sin²(θ)) = 1 - √(1 - r² - ρ²)

ρ represents the distance in the plane x = r² from the center of the circular intersection of the two spheres, (r², 0, 0), to the edge of this circle. The maximum distance is the radius of this circle, √(r² - r⁴). (ρ is thus a positive number, so |ρ| = ρ.)

θ is the angle made by a vector pointing from this center to the circle's edge, running from 0 to 2π, relative to some arbitrary line in the plane x = r².

Putting everything together, we can describe R in cylindrical coordinates by the set

\(R = \left\{ (\xi, \rho, \theta) : 1 - \sqrt{1-r^2-\rho^2} \le \xi \le \sqrt{r^2-\rho^2} \right. \\\\ \text{ and } 0 \le \rho \le \sqrt{r^2 - r^4} \\\\ \left. \text{ and } 0 \le \theta \le 2\pi \right\}\)

The volume is then

\(\displaystyle V(r) = \iiint_R dV\)

\(\displaystyle V(r) = \int_0^{2\pi} \int_0^{\sqrt{r^2-r^4}} \int_{1-\sqrt{1-r^2-\rho^2}}^{\sqrt{r^2-\rho^2}} \rho \, d\xi \, d\rho \, d\theta\)

The integral with respect to θ is just a constant:

\(\displaystyle V(r) = 2\pi \int_0^{\sqrt{r^2-r^4}} \int_{1-\sqrt{1-r^2-\rho^2}}^{\sqrt{r^2-\rho^2}} \rho \, d\xi \, d\rho\)

Integrate with respect to ξ :

\(\displaystyle V(r) = 2\pi \int_0^{\sqrt{r^2-r^4}} \rho \left(\sqrt{r^2-\rho^2} - 1 + \sqrt{1-r^2-\rho^2}\right)  \, d\rho\)

Integrate with respect to ρ; easily done with substitutions:

\(\displaystyle \int \rho \sqrt{r^2 - \rho^2} \, d\rho = -\frac12 \int (-2) \rho \sqrt{r^2 - \rho^2} \, d\rho \\ = -\frac12 \int \sqrt{r^2-\rho^2} \, d(r^2-\rho^2) \\ = -\frac12 \cdot \frac23 (r^2-\rho^2)^{3/2} \\ = -\frac13 (r^2-\rho^2)^{3/2}\)

\(\displaystyle \int \rho \sqrt{1 - r^2 - \rho^2} \, d\rho \\ = -\frac12 \int (-2) \rho \sqrt{1-r^2 - \rho^2} \, d\rho \\ = -\frac12 \int \sqrt{1-r^2-\rho^2} \, d(1-r^2-\rho^2) \\ = -\frac12 \cdot \frac23 (1-r^2-\rho^2)^{3/2} \\ = -\frac13 (1-r^2-\rho^2)^{3/2}\)

which lead us to

\(\displaystyle V(r) = -2\pi \left(\left(\frac{r^6}3 + \frac{r^2-r^4}2 + \frac{(1-r^2)^3}3\right) - \left(\frac{r^3}3 + \frac{(1-r^2)^{3/2}}3\right)\right)\)

\(\displaystyle V(r) = \boxed{-2\pi \left(\frac{r^4}2 - \frac{r^3}3 - \frac{r^2}2 + \frac13 - \frac13(1-r^2)^{3/2}\right)}\)

I've included below a plot of V(r) showing confirming its value is positive for 0 < r < 1. The volume is maximized at r = (√2/3 - 5/12) π ≈ 0.172 with a maximum value of 1/√2 ≈ 0.707.

Answer:

135 lb

Step-by-step explanation:

Turn 60% into a decimal (0.60)

Then multiply 225 by 0.60

225 * 0.60 = 135 lb

Answer:

lowkey dont know the answer

Step-by-step explanation:

The terms "cross-sectional study" and "time-series study" refer to different types of research designs. A cross-sectional study collects data from a population at a specific point in time, whereas a time-series study collects data from the same population over an extended period.

Based on this definition, it is difficult to classify a graph as either a cross-sectional or time-series study without additional context.

A graph alone does not provide enough information about the research design. It would be best to refer to the accompanying study or research report to determine the type of study represented by the graph.
Therefore, the long answer to your question is that a graph cannot be classified as a cross-sectional or time-series study without further information about the research design.

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Answer:

11 and 3/4 in further.

Answer:

I think he has to jump 11 3/4 inches further

Step-by-step explanation:

pls mark me as brainliest!

The  distance John would have to walk to get from point A to point B without going through the pond is 60.84 meters.

Since, John walks 36 m south and 49 m east which covered the distance equal to the hypotenuse of a right triangle

Using the Pythagorean theorem

c² = a² + b²

c² = 36² + 49²

c² = 1296 + 2401

c² = 3697

c = √3697

c = 60.84 m

Thus, the distance is 60.84 meters.

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Answer:

d

Step-by-step explanation:

There is not enough information to solve this question

Answer:

20 marbles must be on the 6th line

Step-by-step explanation:

Hope This Helps:)

The quadrilateral ABCD with coordinates A (6, 0) , B (-2, -4) , C (-6, -1) and D (-2, 6) is a trapezoid as slope BC = slope DA.

Coordinates of the quadrilateral ABCD are:

A (6, 0) , B (-2, -4) , C (-6, -1) and D (-2, 6)

Using coordinate geometry ,

Slope of AB = ( -4 -0)/ (-2-6)

                    = 1 / 2

Slope of BC = ( -1 + 4) / ( -6 + 2)

                    = -3 / 4

Slope of CD = ( 6 + 1) / ( -2 + 6)

                     = 7 / 4

Slope of DA = ( 6 -0) / ( -2 - 6 )

                    = -6/ 8

                    = -3/4

Slope of BC is equal to slope of DA = -3 /4

It implies BC is parallel to DA.

Therefore, the quadrilateral ABCD with given coordinates are trapezoid.

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In Mary Shelley's "Frankenstein," there are many instances where the creature expresses his despair and loneliness. However, one detail that particularly highlights his despair is when he says, "I am alone and miserable; man will not associate with me; but one as deformed and horrible as myself would not deny herself to me."

This quote shows how the creature feels completely isolated and rejected by humanity. He longs for companionship and acceptance, but he is unable to find it because of his appearance. The fact that he even mentions that someone as deformed as himself would not deny him shows how desperate and hopeless he feels about ever finding companionship. This quote emphasizes the creature's deep sense of despair and loneliness that he experiences throughout the novel.

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Answer:

<b=120°,<c=60° & <d=60°

Step-by-step explanation:

Here,

given that <a=120°

<a is vertically opposite to <b

We know,vertically oppposite angles are equal

So,<a=<b=120°

<a & <c lies on a straight angle.

So,<c=180°-120° (Sum of two angles on a straight angle is 180°)

     <c=60°

Again,<c is vertically opposite to <d.

So,<d=60°.

The probability density function (pdf) of the random vector x, following a normal distribution with parameters μ and Σ, is given by:

f(x) = (1/((2π)^(n/2) * √(|Σ|))) * exp(-0.5 * (x - μ)' * Σ^(-1) * (x - μ))

Now let's compute the determinant (∣Σ∣) and inverse (Σ^(-1)) of the given covariance matrix:

∣Σ∣ = 20 * (20 * 16 - 12 * 12) - 16 * (16 * 16 - 12 * 12) + 12 * (16 * 12 - 12 * 20)

      = 20 * 256 - 16 * 112 + 12 * (-64)

      = 5120 - 1792 - 768

      = 2560

Σ^(-1) = (1/∣Σ∣) * adj(Σ)

Where adj(Σ) denotes the adjugate of Σ, which is the transpose of the cofactor matrix.

Adj(Σ) = ⎝

⎛

​

 20*20 - 12*12  12*16 - 12*12  12*12 - 16*12  16*12 - 20*12

 12*16 - 12*12  20*20 - 12*12  16*12 - 20*12  12*12 - 16*12

 12*12 - 16*12  16*12 - 20*12  20*20 - 12*12  12*16 - 12*12

 16*12 - 20*12  12*12 - 16*12  12*16 - 12*12  20*20 - 12*12

⎠

⎞

​

= ⎝

⎛

​

  256  192  -192 -64

  192  256  -64  -192

  -192 -64  256  192

  -64  -192  192  256

⎠

⎞

​

Therefore, the pdf of the random vector x is:

f(x) = (1/(2π^(4/2) * √(2560))) * exp(-0.5 * (x - μ)' * Σ^(-1) * (x - μ))

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The correct pairing of possible null and alternative hypotheses for this experiment is option B.

The null hypothesis states that there is no difference in arthritis issues reported by Groups A and B, while the alternative hypothesis states that Group A reports fewer arthritis issues than Group B.

It is important to note that the null hypothesis assumes that there is no effect of the medication on arthritis issues, and any observed difference between the two groups is due to chance.

The alternative hypothesis, on the other hand, assumes that the medication has an effect on reducing arthritis issues. This experiment is a randomized controlled trial, where participants are randomly assigned to either the treatment group (Group A) or the control group (Group B).

The purpose of this experiment is to determine whether the medication has an effect on reducing arthritis issues compared to a placebo.

By dividing the participants into two groups, the researcher can compare the outcomes between the two groups and draw conclusions about the effectiveness of the medication.

In summary, the correct pairing of possible null and alternative hypotheses for this experiment is option B, and this experiment is a randomized controlled trial to study the effects of a new arthritis medication that divides participants into two groups: Group A gets the drug, and Group B gets a placebo.

The null hypothesis assumes there is no difference between the two groups, while the alternative hypothesis proposes that the medication has a significant effect on arthritis issues in Group A compared to Group B.

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Answer:

167/5 (in decimal form it is 33.4) :)

Step-by-step explanation:

81/5 + 32/5 + 54/5 = 81/5 +86/5 = 167/5

I really hope this helps!

Answer:

False

Step-by-step explanation:

Hope this helped

The measure of the amount of random sampling error in a survey's result is known as margin of error.

The margin of error is a statistical concept that quantifies the degree of uncertainty or sampling error associated with survey results. It provides an estimate of the range within which the true population parameter is likely to fall. The margin of error is typically expressed as a percentage and is based on the sample size and the level of confidence desired.

In survey research, random sampling error refers to the natural variability that occurs when a subset of individuals, known as the sample, is selected to represent a larger population. It arises because the sample is not an exact replica of the entire population. The margin of error takes into account this inherent variability and provides a measure of how much the survey results might deviate from the true population values.

A larger sample size generally leads to a smaller margin of error, as it reduces the random variability associated with sampling. Similarly, a higher level of confidence, such as 95% confidence level, results in a larger margin of error to account for a wider range of potential values.

By considering the margin of error, survey researchers can assess the reliability and precision of their findings, providing a range of values within which the true population parameter is likely to reside.

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The margin of error for a 99% confidence interval estimate is approximately 0.0838 or 8.38%.

To calculate the margin of error for a 99% confidence interval estimate, we can use the formula:

Margin of Error = Z * sqrt(p_hat * (1 - p_hat) / n)

Where:

Z is the z-value corresponding to the desired confidence level (99% confidence level corresponds to a z-value of approximately 2.576).

p_hat is the sample proportion (percentage of apples with bruises), which is calculated as the number of apples with bruises divided by the total sample size.

n is the sample size.

Given:

Sample size (n) = 100

Number of apples with bruises = 12

Calculating the sample proportion:

p_hat = 12 / 100 = 0.12

Using the z-value for a 99% confidence level (z = 2.576), we can calculate the margin of error:

Margin of Error = 2.576 * sqrt(0.12 * (1 - 0.12) / 100)

Calculating the margin of error:

Margin of Error = 2.576 * sqrt(0.12 * 0.88 / 100)

Margin of Error = 2.576 * sqrt(0.1056 / 100)

Margin of Error = 2.576 * sqrt(0.001056)

Margin of Error ≈ 2.576 * 0.0325

Margin of Error ≈ 0.0838

Therefore, the margin of error for a 99% confidence interval estimate is approximately 0.0838 or 8.38%.

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Answer:

\(\huge{\boxed{\sf\:p=\frac{3R}{4}+q}}\)

Step-by-step explanation:

Let's use the distributive property at first to remove the brackets.

\(\sf\:R = \frac { 4 } { 3 } ( p - q )\\\\\sf\:R=\frac{4}{3}p-\frac{4}{3}q\)

Now, let's bring 4/3 p to the left side of the equation & R to the right side.

\(\sf\:R=\frac{4}{3}p-\frac{4}{3}q \\\\\sf\frac{4}{3}p=R+\frac{4}{3}q\)

Now, to bring the same denominator for all the values, let's divide all the numbers by 4/3. So,

\(\sf\:\frac{4}{3}p=R+\frac{4}{3}q \\\\\sf\:\frac{\frac{4}{3}p}{\frac{4}{3}}=\frac{\frac{4q}{3}+R}{\frac{4}{3}}\)

We know that, dividing by 4/3 will undo the multiplication by 4/3.

\(\sf\:p=\frac{\frac{4q}{3}+R}{\frac{4}{3}} \\\)

And by further dividing, we'll get our answer as,

\(\large{\boxed{\sf\:p=\frac{3R}{4}+q }}\)

_________

Hope it helps!

Refer to the attachment if there's an error with the answer.

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\(\mathfrak{Lucazz}\)

Answer:

\(Given,r = \frac{4}{3} (p - q)\)

\( = r \times 3 = \frac{4}{ \cancel3} (p - q) \times \cancel 3\)

\( = 3r = 4(p - q)\)

\( = \frac{3r}{4} = \frac{ \cancel4(p - q)}{ \cancel4} \)

\( = p - q = \frac{3r}{4} \)

\( = p - q + q = \frac{3r}{4} + q\)

\( =p = \frac{3r}{4} + q\)

It conclude the Tyson-brand exceeds proportion of Perdue-brand chickens testing positive.

The test statistic and p-value are 2.33 and 0.0001 respectively.

The p-value < significance level, reject null hypothesis.

To test the hypothesis,

The proportion of Tyson-brand chickens testing positive exceeds the proportion of Perdue-brand chickens testing positive,

Use a two-proportion z-test. Let us state the relevant hypotheses.

Null Hypothesis (H₀),  p₁ ≤ p₂

Alternative Hypothesis (H₁), p₁ > p₂

Where

p₁ = Proportion of Perdue-brand chickens testing positive

p₂ = Proportion of Tyson-brand chickens testing positive

Now, let us calculate the test statistic and p-value,

First, calculate the sample proportions,

p₁ = 35/80

   = 0.4375 (proportion of Perdue-brand chickens testing positive)

p₂= 66/80

   = 0.825 (proportion of Tyson-brand chickens testing positive)

Next, calculate the standard error (SE) of the difference between two proportions,

SE = √[(p₁ × (1 - p₁) / n₁) + (p₂ × (1 - p₂) / n₂)]

= √[(0.4375 × (1 - 0.4375) / 80) + (0.825 × (1 - 0.825) / 80)]

≈ 0.0844

Then, calculate the test statistic (z),

z = (p₁ - p₂) / SE

= (0.4375 - 0.825) / 0.0844

≈ -4.5821

Using a significance level of 0.01, the critical z-value for a one-tailed test is approximately 2.33 using z-calculator.

Finally, calculate the p-value associated with the test statistic.

p-value = P(Z > -4.5821)

Using a z-calculator, find that the p-value is very close to 0 (p-value < 0.0001).

Interpreting the results,

Since the p-value (0.0001) is less than the significance level (0.01), we reject the null hypothesis.

Therefore, sufficient evidence to conclude proportion of Tyson-brand chickens testing positive exceeds proportion of Perdue-brand chickens testing positive.

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The above question is incomplete, the complete question is:

An article in the publication Consumer Reports reported the following data: * 35 of 80 randomly selected Perdue-brand chickens tested positive for campylobacter bacteria, salmonella bacteria, or both. * 66 of 80 randomly selected Tyson-brand chickens tested positive for campylobacter bacteria, salmonella bacteria, or both. From these data, would you conclude that the proportion of Tyson-brand chickens that test positive exceeds the proportion of Perdue-brand chickens that test positive.

Carry out a test of hypotheses using a significance level 0.01. (Use p1 for Brand A and p2 for Brand B.)

State the relevant hypotheses.

Calculate the test statistic and P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.)

Probabilities (at least 13 graduates) = 0.29858

The variable is binomial, which means that it can only have two possible outcomes (in this case, either a student will graduate or they will drop out). The probability of at least 13 students out of 15 graduating is calculated by adding the probability of exactly 13 students graduating and the probability of exactly 14 students graduating:

P(at least 13 graduate) = P(exactly 13 graduate) + P(exactly 14 graduate)

To calculate the probability of exactly 13 students graduating, use the binomial formula:
P(X = 13) = (15 choose 13) * (0.105)13 * (0.895)2

The calculation for P(X = 13) is: (15 choose 13) * (0.105)13 * (0.895)2 = (15!/13!(15-13)!) * (0.105)13 * (0.895)2 = (15 * 14 / 1 * 1) * (0.00155) * (0.80505) = 0.16437

Similarly, to calculate the probability of exactly 14 students graduating, use the binomial formula:
P(X = 14) = (15 choose 14) * (0.105)14 * (0.895)1

The calculation for P(X = 14) is: (15 choose 14) * (0.105)14 * (0.895)1 = (15!/14!(15-14)!) * (0.105)14 * (0.895)1 = (15 / 1) * (0.01462) * (0.895) = 0.13421

Finally, add the probabilities together to find the probability of at least 13 students graduating.
P(at least 13 graduates) = P(exactly 13 graduate) + P(exactly 14 graduate)
P(at least 13 graduates) 0.16437 + 0.13421 = 0.29858, rounded to three decimal places.

To learn more about "Probability": brainly.com/question/29350029

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Answer:

y = \(\frac{1}{5}\)x + 19

Step-by-step explanation:

Not sure what the stuff after "What is the equation of the line perpendicular to y = 5x +3 passing through the point (-3, 4)?" is, but I can create the equation from just that :D

So the equation will still be y = as it will be in slope intercept from (y=mx+b). The slope (m, or in this case currently it is 5) will change and be one-fifth as it is the opposite.

So far we have:

y = \(\frac{1}{5}\)x + b

We then plug in the point (-3, 4) to figure out our b

(given) y = 5x + b

(plugging-in) 4 = 5(-3) + b

(mutiply) 4 = -15 + b

(adding 15 to both sides) 19 = b

Our equation will then be:

y = \(\frac{1}{5}\)x + 19

Hopefully this is correct and helps, have a ncie day! :D