A motorboat is headed due east, directly across a river at 5 m/s. the current of the river is 2 m/s downstream (due south). find the following: a) the resulting true speed of the boat; b) the compass direction of the boat; and c) the distance downstream the boat will land on the shore if the river is 800 meters wide.

The null hypothesis is H: p = 0.25 and the alternative hypothesis is H: p > 0.25.

Any variation between the selected attributes that you observe in a collection of data is thought to be the result of chance, according to the null hypothesis.

According to the facts provided, the allegation is that the card was recognized much more frequently than randomness would predict.

The proportion of card selected will be:

= 1/4

= 0.25

Therefore, the null hypothesis is H: p = 0.25 and the alternative hypothesis is H : p > 0.25.

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The total bill is the sum of all the items purchased.

The items purchased includes;

A shirt for $29.85

Pants for $32.15

Jewelry for $15.45

The sum of this items is;

Therefore, the total bill comes to $77.45 before tax.

Answer:

43

Step-by-step explanation:

let's write it as an equation, assuming the two angles are the same:

3x + 14 = 143

3x = 129

x = 43

Step-by-step explanation:

5x - 32 = kx + 3

(5 - k)x = 35

This equation fails when (5 - k) = 0, or k = 5.

Based on the given p-value of 0.0018, the conclusion of the test is that at least two group means are significantly different from each other. This means that there is evidence to suggest that there are statistically significant differences in the average test scores among the different teaching methods.

In hypothesis testing, the p-value is used to determine the significance of the results. A p-value less than the chosen significance level (typically 0.05) indicates that the results are statistically significant, suggesting that there is evidence to reject the null hypothesis.

In this case, the p-value is given as 0.0018. Since the p-value is less than 0.05, we can conclude that there is sufficient evidence to reject the null hypothesis. This implies that at least two group means are significantly different from each other, indicating that there are statistically significant differences in the average test scores among the different teaching methods.

It is important to note that the conclusion does not specify exactly which group means are significantly different from each other. The test only provides evidence that there are differences, but further analysis or post-hoc tests would be required to determine the specific group means that are significantly different.

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Step-by-step explanation:

I think is 4.5 because when nine is being divided it's result is 4 remender 1,so maybe the answer options are incorrect

Answer:

4508

Step-by-step explanation:

2196 divided by 87 equals 4508

The approximate area of Central Park is about 450 square blocks.

The given dimensions of the park stated in the question are

Length of Central Park = 50 blocks

Width of Central Park = 9 blocks

The approximate area of Central Park is the product of its length and width:

So, we have

Area of Central Park = Length x Width

When the given values are substituted into the the equation mentioned above, we obtain the subsequent expression

Area = 50 * 9

Evaluate

Area = 450

Hence, the approximate area is about 450 square blocks.

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A given linear model shows negative correlation.

The correlation coefficient describes how one variable moves in relation to another. A positive correlation indicates that the two move in the same direction, with a value of 1 denoting a perfect positive correlation. A value of -1 shows a perfect negative, or inverse, correlation, while zero means no linear correlation exists.

Given that, a researcher fit a linear model to her data and calculated the correlation coefficient to be -0.29.

Here, a linear model shows negative, or inverse, correlation.

Therefore, a given linear model shows negative correlation.

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Answer: The surface area of a square pyramid with a side length of 2m and slant height of 3m is 12 square meters.

Step-by-step explanation:

The surface area of a square pyramid can be calculated using the formula:

Surface area = Base area + 4 * (Area of one of the lateral faces)

The base area of the pyramid is the area of the square base, which is the side length squared: 2m * 2m = 4m^2

To find the area of one of the lateral faces, we can use the Pythagorean theorem to find the length of the face, which is the hypotenuse of a right triangle with the slant height and half of the side length as the other two sides.

so, (1/2 * 2m)^2 + 3^2 = x^2

x= (1/2 * 2m)^2 + 3^2

x = 2

Therefore, the surface area of the pyramid is:

Surface area = 4m^2 + 4 * 2m^2 = 4m^2 + 8m^2 = 12m^2

So, the surface area of a square pyramid with a side length of 2m and a slant height of 3m is 12 square meters.

Using the ratio principle, the longest stage is Prophase with a duration of 456 minutes

The amount of time spent in each stage of Mitosis can be calculated thus :(Number of onion per stage / total number of onions) × total time spent.

Total time spent = 24 hours = (60 × 24) = 1440 minutes

Time spent per stage :

Anaphase :

(12 / 60) × 1440 = 288 minutes

Prophase :

(19 / 60) × 1440 = 456 minutes

Metaphase :

(14 / 60) × 1440 = 336 minutes

Telophase :

(15 / 60) × 1440 = 360 minutes

Therefore, the stage with the longest duration is the Prophase stage and the duration is 456 minutes

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The correct answer is D. The data are qualitative because they consist of counts or measurements.

Qualitative data refers to non-numerical information that is categorical or descriptive in nature. It describes qualities or characteristics of a subject.

In this case, the preferred hands of the experiment's participants would be categorical information, as it describes the quality or characteristic of which hand the participants prefer to use.

On the other hand, quantitative data refers to numerical information that can be measured or counted. It involves quantities or amounts.

Examples of quantitative data would include measurements such as height, weight, or number of participants.

Since the preferred hands in this scenario are categorical and not measured or counted, the data is qualitative. It focuses on the qualities or categories of left-handedness or right-handedness, rather than measuring or counting any specific quantities.

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x = −30 and x = 50 , Absolute value equation into two separate equations, one with the positive expression and one with the negative expression

To solve for x, we first need to isolate the absolute value expression on one side of the equation. We start by adding 6 to both sides of the equation:
|1/5(x+2)| - 6 = 2
This gives us:
|1/5(x+2)| = 8
Next, we can split this absolute value equation into two separate equations, one with the positive expression and one with the negative expression:
1/5(x+2) = 8  OR  1/5(x+2) = -8
We can then solve for x in each equation separately. Starting with the positive expression:
1/5(x+2) = 8
Multiplying both sides by 5, we get:
x+2 = 40
Subtracting 2 from both sides, we get:
x = 38
Now solving for the negative expression:
1/5(x+2) = -8
Multiplying both sides by 5, we get:
x+2 = -40
Subtracting 2 from both sides, we get:
x = -42

So our two solutions are x = -42 and x = 38. However, we need to check our answers to make sure they satisfy the original equation. Plugging in x = -42 gives us:
|1/5(-42+2)| - 6 = 2
Simplifying the expression inside the absolute value, we get:
|(-40/5)| - 6 = 2
Simplifying further, we get:
8 - 6 = 2

2 = 2 (True)
Therefore, x = -42 is a valid solution. Next, plugging in x = 38 gives us:
|1/5(38+2)| - 6 = 2
Simplifying the expression inside the absolute value, we get:
|(40/5)| - 6 = 2
Simplifying further, we get:
8 - 6 = 2
2 = 2 (True)
Therefore, x = 38 is also a valid solution.

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For a regular polygon of n sides, we need to use the formula (n-2) * 180°.

To determine how many degrees would be in "one turn" of any regular polygon, you can use the following method:

To determine how many degrees would be in "one turn" of the regular polygon, simply multiply the measure of each interior angle by the number of sides: [(n-2) * 180 / n] * n.

The final expression simplifies to (n-2) * 180°

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Answer:

1/2 mile.

Step-by-step explanation:

There 4 1/4 hours in 1 hour so

the answer is 4 * 1/8

= 4/8

= 1/2 mile.

Answer:

y = - \(\frac{1}{2}\) x - \(\frac{9}{2}\)

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (1, - 5) and (x₂, y₂ ) = (3, - 6)

m = \(\frac{-6+5}{3=2}\) = - \(\frac{1}{2}\) , then

y = - \(\frac{1}{2}\) x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (1, - 5 ) , then

- 5 = - \(\frac{1}{2}\) + c ⇒ c = - 5 + \(\frac{1}{2}\) = - \(\frac{9}{2}\)

y = - \(\frac{1}{2}\) x - \(\frac{9}{2}\) ← equation of line

Answer:

4pi/15=θ  - i think

Step-by-step explanation:

S = r*θ

r=9

s=12pi/5

12pi/5=9*θ

12pi/45=θ

4pi/15=θ

Answer:

V=216cm³

Step-by-step explanation:

V=216cm³

A positively skewed distribution is due to an extremely large number.

A positively skewed distribution is a type of distribution in which the majority of the data values are clustered towards the left side of the distribution, with a tail extending to the right. This means that there are relatively more smaller values in the dataset than larger values. In a positively skewed distribution, the mean of the dataset is typically larger than the median, and the mode may not be a good representation of the central tendency of the data. This is because the presence of a long tail on the right-hand side of the distribution pulls the mean towards the higher values, while the median remains closer to the center of the dataset. Some common examples of positively skewed distributions include income distributions, where there are a few extremely high earners that skew the data towards the right, and test scores, where there may be a few students who perform extremely well and pull the average higher than the median.

Here,

A positively skewed distribution occurs when the tail of the distribution extends to the right, and the majority of the data is clustered towards the left side of the graph. This means that there are relatively more smaller values in the dataset than larger values. One common cause of positive skewness is the presence of extremely large values, also called outliers, in the dataset. These large values pull the mean of the dataset towards the right, resulting in the tail of the distribution stretching in that direction.

Therefore, out of the options provided, the correct answer is "an extremely large number."

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1. If the range of the function f(x) = 5x - 10 is given by the set of all positive real numbers, then the domain of the function would be the set of all real numbers greater than 2.

2. The graph and invertibility of each function need to be examined individually to determine if an inverse exists.

3. The derivative of the function f(x) = (x + 5)^3 can be obtained using the formal definition of a derivative.

4. The unconstrained optimum of the function f(x1, x2) = 50 - (2x1 - 10)^4 - (x2 - 6)^2 needs to be found.

5. The Lagrange Method can be used to solve the constrained optimization problems associated with the given objective functions.

6. The Substitution Method can be used to solve the constrained optimization problems for the same objective functions, and second-order conditions can determine whether the proposed solutions maximize or minimize the objective functions.

1. If the range of f(x) is all positive real numbers, it means that for any positive real number y, there exists a corresponding x such that f(x) = y. In this case, the function f(x) = 5x - 10 is a linear function, and the domain would be all real numbers greater than 2, as any value of x greater than or equal to 2 would yield a positive output.

2. Each function needs to be analyzed individually to determine its graph and invertibility. If a function passes the horizontal line test (no horizontal line intersects the graph at more than one point), then it has an inverse. Otherwise, if a horizontal line intersects the graph at multiple points, the function is not invertible.

3. To obtain the derivative of f(x) = (x + 5)^3 using the formal definition, we need to evaluate the limit of the difference quotient as ε approaches 0. By plugging in the given function into the definition and simplifying, we can apply the limit and calculate the derivative.

4. To find the unconstrained optimum of the function f(x1, x2) = 50 - (2x1 - 10)^4 - (x2 - 6)^2, we can differentiate the function with respect to x1 and x2, set the derivatives equal to zero, and solve the resulting equations to find the critical points. Then, we can evaluate the second derivatives to determine whether each critical point corresponds to a maximum, minimum, or neither.

5. The Lagrange Method is an optimization technique used to solve constrained optimization problems. For each given objective function, the Lagrange Method involves setting up the Lagrangian function, which includes the objective function and the constraints multiplied by Lagrange multipliers. By finding the partial derivatives of the Lagrangian with respect to the variables and Lagrange multipliers, we can solve the resulting system of equations to find the optimal solution.

6. The Substitution Method can also be used to solve the constrained optimization problems for the same objective functions. By substituting the constraint equation into the objective function, we can eliminate one variable and create an unconstrained optimization problem. Solving this new problem involves finding the critical points and evaluating the second derivatives to determine the nature of the solutions as either maximum or minimum points.

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Answer:

The answer is 32      

Step-by-step explanation:

9/3=3                                                                                                                                                 6/3=2                                                                                                                                                         32

The value of a and b from the given equation y = ax + b is -0.5 and -5

y = ax + b

-4 = -2a + b

-4.5 = -a + b

-4 = -2a + b

-4.5 = -a + b

-4 - (-4.5) = -2a - (-a)

-4 + 4.5 = -2a + a

0.5 = - a

a = -0.5

-4 = -2a + b

-4 = -2(-0.5) + b

-4 = 1 + b

-4 - 1 = b

-5 = b

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Let's see

Answer:

A.  20 cm

Step-by-step explanation:

Volume of a cylinder

\(\textsf{V}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}\)

Given:

Substituting the given values into the formula and solving for h:

\(\begin{aligned}\implies \sf 1280 \pi & =\sf \pi 8^2h\\\\\sf 1280 \pi & = \sf 64 \pi h\\\\\sf h & = \sf \dfrac{1280 \pi}{64 \pi}\\\\ \sf h & = \sf 20\:cm\end{aligned}\)

Greetings from Brasil...

Let's add all the values on one side and make it equal to the sum of all the other values on the other side

(- X) + (- X) + (- X) + (- X) + (- X) + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1  =  X + X + X + (- 1) + (- 1) + (- 1) + (- 1) + (- 1) + (- 1) + (- 1) + (- 1)

- 5X + 12 = 3X - 8

- 5X - 3X = - 8 - 12

- 8X = - 20    x(- 1)

8X = 20

X = 20/8

or X = 2.5

Answer:

1) E

2) D

3) G

4) I

Step-by-step explanation:

1)

P = 2(l + w)

P = 2(3a + 3 + 8a - 12)

P = 2(11a - 9)

P = 22a - 18

2)

P = 22a - 18

P = 22(3) - 18

P = 66 - 18

P = 48

3)

P = a + b + c

P = 3b + 7 + 7b - 2 + 7b - 2

P = 17b + 3

4)

P = 17b + 3

P = 17(6) + 3

P = 102 + 3

P = 105

Answer:

p = 20

Step-by-step explanation:

Note the equal sign, what you do to one side, you do to the other.

Do the opposite of PEMDAS. PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (& Roots)

Multiplications

Divisions

Additions

Subtraction

~

Isolate the variable, p, by multiplying 4 to both sides of the equation:

\(5 = \frac{p}{4}\\ 5 (* 4) = \frac{p}{4} (* 4)\\ 5 * 4 = p\\p = 20\)

p = 20 is your answer.

~

The Boolean operation is referred to as a Boolean sum is OR operation

In Boolean algebra, the Boolean sum operation is also known as the logical OR operation. It is one of the most commonly used Boolean operations, and is used to create a logical expression that is true if either one or both of the operands are true.

The Boolean sum operation is denoted by the symbol "+". It takes two operands and returns a result based on the truth values of those operands. The truth table for the Boolean sum operation is as follows:

Operand 1 Operand 2 Result

False False False

False True True

True False True

True True True

As you can see from the truth table, the Boolean sum operation returns true (or 1) if either one or both of the operands are true, and false (or 0) otherwise.

Therefore, the Boolean sum operation is a very important operation in Boolean algebra, and is used in a wide range of applications such as digital circuits, computer science, and programming.

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Answer:

1 , 2, 0.5

Step-by-step explanation:

Vertical change is + 1 units

This is found by seeing how many units the graph goes up

Horizontal Change is + 2 units

This is found by seeing how many units the graph goes to the right.

Rate of change = slope, which is the change in y divided by the change in x

1/2 = 0.5

-Chetan K

Answer:

This is a linear equation in slope-intercept form.