To compute Empirical Probability, you: O a. must observe the outcomes of the variable over a period of time O b. do not need to perform the experiment Oc. must interview through telephone surveys O d.

Answer:

Hello! Your answer would be, E)

Step-by-step explanation:

Hope I helped! Ask me anything if you have questions! Brainiest plz. Hope You make a 100%! Have a nice day! -Amelia♥

Is this a multiple choice?

Answer:

seven more than four times a number is fifteen -    4n+7=15

one-fourth the difference of a number and 15 -      1/4 (n-15)

one fourth a number decreased by 15 -      1-4 n - 15

the quotient of a number and seven is four -    n divided by 7 = 4

a number raised to the power of four increased by 7 is 15 -   n to the power of 4 - 7=15

Step-by-step explanation:

Answer:

A: -6 + 2

Step-by-step explanation:

remember two negative signs makes a positive sign

=====================================================

Work Shown:

x = rowing speed when there is no current

c = speed of the current

speeds are in km per hour

-----------

Going downstream, i.e. with the current:

x+c = faster speed since the current is pushing you

distance = rate*time

d = r*t

40 = (x+c)*2

x+c = 40/2

x+c = 20

c = 20-x

-----------

Going upstream, i.e. against the current:

x-c = slower speed since the current is working against you

d = r*t

16 = (x-c)*2

16 = 2x-2c

2x-2c = 16

2(x-c) = 16

x-c = 16/2

x-c = 8

x-(20-x) = 8 ... plug in c = 20-x

x-20+x = 8

2x-20 = 8

2x = 8+20

2x = 28

x = 28/2

x = 14 km per hour is the rowing speed when there is no current

Side note: the speed of the current is c = 20-x = 20-14 = 6 km per hour.

The correct system of equations that can be graphed to find the solution(s) to 4x² = x²+ 7 is:

y = 3x² which represents the parabola that intersects the x-axis at (±√(7/3), 0).

y = 7, which represents the horizontal line that intersects the y-axis at y = 7.

The equation 4x²= x² + 7 can be rearranged into a quadratic equation by subtracting x² from both sides:

3x² = 7

To graph this equation, we can first solve for x by dividing both sides by 3:

x² = 7/3

x = ±√(7/3)

We can then plot the two points (±√(7/3), 0) on the x-axis, which represent the x-intercepts of the graph.

The system of equations that corresponds to the graph of this equation is:

y = 3x² which is a parabola that opens upward and passes through the point (0, 0).

y = 7, which is a horizontal line that intersects the y-axis at y = 7.

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To find the word-length 2's complement representation of each of the following decimal numbers, we can follow the steps below:a) 54.

In order to convert 54 to a 2's complement representation, we have to take the following steps:Convert 54 to binary form.54 / 2 = 27 remainder 1 (LSB)27 / 2 = 13 remainder 1 13 / 2 = 6 remainder 1 6 / 2 = 3 remainder 0 3 / 2 = 1 remainder 1 1 / 2 = 0 remainder 1 (MSB)So, 54 in binary form is 00110110.

Add leading zeroes to make up 8 bits.00110110 → 00110110We don't need to take the 2's complement of this binary representation because 54 is positive. The word-length 2's complement representation of 54 is simply 00110110.b) -10:

To convert -10 to a 2's complement representation, we have to take the following steps:Convert 10 to binary form.10 / 2 = 5 remainder 0 (LSB)5 / 2 = 2 remainder 1 2 / 2 = 1 remainder 0 1 / 2 = 0 remainder 1 (MSB)So,

10 in binary form is 00001010.Take the 1's complement of this binary representation.00001010 → 11110101Add 1 to this 1's complement.11110101 + 1 = 11110110 Add leading zeroes to make up 8 bits.11110110 → 11110110,

the word-length 2's complement representation of -10 is 11110110.In conclusion, we found the word-length 2's complement representation of 54 to be 00110110 and the word-length 2's complement representation of -10 to be 11110110.

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Answer:

The slope-intercept equation is:

\(y=\frac{3}{2}x+1\)

Step-by-step explanation:

Given the equation

\(y-4=-\frac{2}{3}\left(x-6\right)\)

comparing it with the point-slope form of the line equation

\(y-y_1=m\left(x-x_1\right)\)

where m is the slope

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so

The slope of the perpendicular line will be: 3/2

The point-slope form of the equation of the perpendicular line that goes through (-2, -2) is:

\(y-y_1=m\left(x-x_1\right)\)

\(y-\left(-2\right)=\frac{3}{2}\left(x-\left(-2\right)\right)\)

\(y+2=\frac{3}{2}\left(x+2\right)\)

writing the line equation in the slope-intercept form

\(y+2=\frac{3}{2}\left(x+2\right)\)

subtract 2 from both sides

\(y+2-2=\frac{3}{2}\left(x+2\right)-2\)

\(y=\frac{3}{2}x+1\)

Thus, the slope-intercept equation is:

\(y=\frac{3}{2}x+1\)

Here,

As the slope-intercept form is

\(y=mx+b\)

where m is the slope and b is the y-intercept

so

\(y=\frac{3}{2}x+1\)

m=3/2

b = y-intercept = 1

Therefore, the slope-intercept equation is:

\(y=\frac{3}{2}x+1\)

Water will reach a depth of 12 meters after 3.1 hours approximately.

What is function?

In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y.

Main body:

Function representing the level of water by 'y' and number of hours by 'x' is,

y = 2.5 cos (2πx/12.5)+12

For y = 12 meters, (Substitute the value of y)

12 = 2.5 cos (2πx/12.5)+12

12 -12 = 2.5 cos (2πx/12.5)

cos (2πx/12.5) = 0

2πx/12.5 = π/2

πx/12.5 = π/4

x = 3.125

x ≈3.1 hours

Therefore, water will reach a depth of 12 meters after 3.1 hours approximately.

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Answer:

The domain and range is (as inequalities):

\(x\leq 3\text{ and } -\infty < y < \infty\)

Or in interval notation:

\(D=(-\infty, 3]\text{ and } R=(-\infty, \infty)\)

Step-by-step explanation:

Recall that the domain is simply the set of all x-values of the function.

From the graph, we can see that the function is defined for all x-values less than or equal to 3.

Therefore, the domain is:

\(x\leq 3\)

The range is the set of all y-values of the function.

From the graph, we can see that the range will extend infinitely in both directions.

Therefore, the range is all real numbers. As an inequality:

\(-\infty < y < \infty\)

Or in interval notation, the domain is:

\((-\infty, 3]\)

And the range is:

\((-\infty, \infty)\)

Answer:

They are complementary.

Step-by-step explanation:

I made a small visual (mainly so I could visualize it but I figured it might help you too).

Since QRT is congruent to STR, QTR and SRT are also congruent.

Therefore, since STR is complementary to QTR, and STR is congruent to QRT, QTR must be complementary to QRT due to the transitive property.

Answer:

b 3dge

Step-by-step explanation:

Answer:

Step-by-step explanation:

To find the volume of the solid obtained by rotating the region bounded by y = 2 and y = 6 - x² about the x-axis, we can use the method of cylindrical shells.

The height of each cylindrical shell will be the difference between the upper and lower curves: h = (6 - x²) - 2 = 4 - x².

The radius of each cylindrical shell will be the x-coordinate. Since we are rotating about the x-axis, the radius is simply x.

The differential volume element of each cylindrical shell is given by dV = 2πrh dx = 2πx(4 - x²) dx.

To find the total volume, we integrate this expression over the range where the curves intersect. The curves y = 2 and y = 6 - x² intersect when 2 = 6 - x², which gives x = ±2.

Therefore, the integral for the volume is:

V = ∫[from -2 to 2] 2πx(4 - x²) dx.

Evaluating this integral, we get:

V = 2π ∫[from -2 to 2] (4x - x³) dx

= 2π [2x² - (1/4)x⁴] |[from -2 to 2]

= 2π [(2(2)² - (1/4)(2)⁴) - (2(-2)² - (1/4)(-2)⁴)]

= 2π [(8 - 4/4) - (8 - 4/4)]

= 2π (8 - 1 - 8 + 1)

= 2π(0)

= 0.

Therefore, the volume of the solid obtained by rotating the region bounded by y = 2 and y = 6 - x² about the x-axis is 0.

Since none of the provided options match the calculated volume of 0, the correct answer is b. None of these.

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Step-by-step explanation:

C is the answer

By answering the presented question, we may conclude that So, the Pythagorean theorem length of MN is expressed in terms of a and b.

Its Pythagorean theorem is just a fundamental mathematical principle that explains the connection between the sides of a triangle that is right. It asserts that the sum of the squares of both the widths of the other two sides is a square of both the width of the hypotenuse (the side facing the perfect angle) the side opposite the right angle). The mathematical mathematics is as follows: c2 = a2 + b2 At which "c" indicates the length of the right triangle and "a" and "b" reflect the extents of the additional two sides, started referring to as the legs.

Because M is the midpoint of OE and N is the midpoint of AB, we can draw a line segment connecting M and N that is parallel to OB and AE and perpendicular to AB.

the Pythagorean theorem

\(OE² = OX² + XE²OE²\)

\((a + b/2)² + (2a - b/√3)²OE² = 7a²/4 + 3ab/2 + b²/4AN²\)

\(AE² + EN²AN² = (2a√3)² + (b/2)²AN²\)

\(12a² + b²/4MN² = AN² + AM²MN² \\\\ 12a² + b²/4 + (7a²/4 + 3ab/2 + b²/4)MN²\\\\19a²/2 + 3ab/2 + b²/2MN = √(19a²/2 + 3ab/2 + b²/2)\)

So, the length of MN is expressed in terms of a and b.

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Answer:

 A≈920.75

Step-by-step explanation:

A cylinder's volume is π r² h, and its surface area is 2π r h + 2π r².

A=2πrh+2πr2=2·π·5.85·19.2+2·π·5.852≈920.75368

The Results:

a) The measure of ∠BDC = 67°

b) The measure of arc DAC = 46°

a) The measure of ∠BDC

Since DC ⊥ AB, ∠DCB is a right angle, which means it measures 90°. Also, given that m∠DCB = 23, we can use the fact that the angles in a triangle sum to 180° to find ∠DBC.

∠DBC + ∠DCB + ∠B = 180 (angles in a triangle sum to 180)

∠DBC + 90 + 23 = 180 (substituting values)

∠DBC = 180 - 90 - 23 = 67°.

Thus, the measure of ∠BDC = 67°

b) The measure of arc DAC:

Since AB = AC, it implies that ∠ABC = ∠ACB (angles opposite to equal sides of an isosceles triangle are equal). Therefore, ∠ACB is also 23°.

Now, since ∠ACB is an inscribed angle that intercepts the arc DAC, the measure of the arc DAC is twice the measure of ∠ACB.

Arc DAC = 2 × ∠ACB = 2 × 23 = 46°.

Therefore, the measure of arc DAC is 46°.

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Answer:

D

Step-by-step explanation:

If they choose every 10, then it isn't random. Hope you understand what I mean.

Hope I Could Help :)

Option (D) Choosing the first name on the list of current subscribers and every 10th name after that is correct.

With simple random sampling, each component of the population has an equal chance of being selected for the sample.

We have a statement:

Which of the following is NOT a random sample of the population of people who subscribe to a particular magazine?

As we know simple random sampling is a process of choosing an element from a set.

As we have population of people who subscribe to a particular magazine.

From the options:

Choosing the first name on the list of current subscribers and every 10th name after that is not a random sample.

Thus, option (D) Choosing the first name on the list of current subscribers and every 10th name after that is correct.

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A sequence of transformation that would move ΔABC onto ΔDEF is: D. a dilation by a scale factor of 1/2, centered at the origin, followed by a 90° clockwise rotation about the origin.

In Geometry, a dilation is a type of transformation which typically changes the size of a geometric object, but not its shape.

In this scenario an exercise, we would dilate the coordinates of the pre-image by applying a scale factor of 1/2 that is centered at the origin as follows:

Ordered pair B (-4, 2) → Ordered pair B' (-4 × 1/2, 2 × 1/2) = Ordered pair B' (-2, 1).

In Mathematics and Geometry, a rotation can be defined as a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction;

(x, y)                               →            (y, -x)

Ordered pair B' (-2, 1)   →          E (1, 2)

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Answer: She spent $11.8

Step-by-step explanation:

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The amount spend on 10 pens is $11.8.

The cost of each pen is $1.18.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Total amount = $24

Amount left after spending on 10 pens = $12.20

The amount spend on 10 pens.

= 24 - 12,20

= $11.8

The cost of each pen.

= 11.8/10

= $1.18

Thus,

The amount spend on 10 pens is $11.8.

The cost of each pen is $1.18.

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The trigonometric ratios for angle θ are given as follows:

The three trigonometric ratios are the sine, the cosine and the tangent of an angle, and they are obtained according to the formulas presented as follows:

Applying the Pythagorean Theorem, the missing side length is given as follows:

x² + 3² = 4²

x² = 7

\(x = \sqrt{7}\)

For the angle θ in this problem, we have that:

Hence the trigonometric ratios are given as follows:

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Answer:

The roots of the equation, 3.1·x³ - 2.4·x²+ 6·x - 3 = 4·x² + 3·x + 2,  are;

x = 1.986, x = 0.0392 - 0.9·i, x = 0.0392 + 0.9·i

Step-by-step explanation:

The given equation is 3.1·x³ - 2.4·x²+ 6·x - 3 = 4·x² + 3·x + 2

Which gives;

3.1·x³ - 2.4·x²+ 6·x - 3 - 4·x² - 3·x - 2 = 0

3.1·x³ - 6.4·x²+ 3·x  - 5 = 0

Factorizing online, we get;

3.1·x³ - 6.4·x²+ 6·x + 3·x - 5 = 3.1·(x - 1.986)·(x² - 0.0784·x + 0.812) = 0

Therefore, the possible solutions are;

x - 1.986= 0 or x² - 0.0784·x + 0.812 = 0

The roots of the equation are x² - 0.0784·x + 0.812 = 0 are;

x = 0.0392 - 0.9·i, x = 0.0392 + 0.9·i

Therefore, the roots of the equation, 3.1·x³ - 2.4·x²+ 6·x - 3 = 4·x² + 3·x + 2,  are;

x = 1.986, x = 0.0392 - 0.9·i, x = 0.0392 + 0.9·i.

The average hourly change in tub fullness is -5/39.

To calculate the average hourly change, we need to determine the difference in tub fullness and divide it by the number of hours. The initial fullness of the tub is 23, and after 612 hours, it is reduced to 16. The change in tub fullness is 23 - 16 = 7. Therefore, the average hourly change is 7/612. Simplifying this fraction, we get -5/39. Hence, the correct answer is option C, -5/39.

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Answer:

the answer is 23

Step-by-step explanation:

3x=69 ( vertically opposite angle)

x=69/3

x=23

Hope this helps. :)

For Pearson correlation the most common purpose to examine is given by option a. The relationship between 2 variables.

The Pearson correlation is a statistical measure that indicates the extent to which two continuous variables are linearly related.

It measures the strength and direction of the relationship between two variables.

Ranging from -1 perfect negative correlation to 1 perfect positive correlation.

And with 0 indicating no correlation.

It is commonly used in research to examine the association between two variables.

Such as the relationship between height and weight, or between income and education level.

Therefore, the most common purpose of a Pearson correlation is to examine the relationship between 2 variables.

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The above question is incomplete, the complete question is:

The most common purpose for a Pearson correlation is to examine,

a. The relationship between 2 variables

b. Relationships among groups

c. Differences between variables

d. Differences between two or more groups

Answer:

Step-by-step explanation:

D

Checking by differentiation,

y′ = -6sin(3t) + 12cos(3t)

y′′ = -18cos(3t) - 36sin(3t)

9y = y′ = -6sin(3t) + 12cos(3t)

y ′′ + 9y = 0

To verify that y=2cos3t+4sin3t is a solution to y ′′ +9y=0, we need to differentiate y twice and substitute the result into the differential equation.

First, we find the first derivative of y with respect to t:

y′ = -6sin(3t) + 12cos(3t)

Then, we take the second derivative of y with respect to t:

y′′ = -18cos(3t) - 36sin(3t)

Next, we substitute y′′ and y into the differential equation:

y′′ + 9y = (-18cos(3t) - 36sin(3t)) + 9(2cos(3t) + 4sin(3t))

Simplifying this expression, we get:

y′′ + 9y = -18cos(3t) - 36sin(3t) + 18cos(3t) + 36sin(3t)

y′′ + 9y = 0

Therefore, we have shown that y=2cos3t+4sin3t is a solution to y ′′ +9y=0, as the sum of the two terms reduces to 0 when substituted into the differential equation. This verifies that the function y satisfies the differential equation.

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Answer:

29 degrees

Explanation:

Secants FH and LH form an angle at H and two intercepted arcs, FL and GJ.

By circle's theorem:

Therefore:

Substitute the known angles:

We solve the equation for the measure of arc GJ.

The measure of arc GJ is 29 degrees.

The probability that the first person picks a mango or a june plum or cashew pack is 0.84

From the question, we have the following parameters:

Start by calculating the total number of fruits

This is represented as

Total number of fruits = Mangoes + Cashew packs + June plums + Jamaican apples

Substitute the known values in the above equation

So, we have the following equation

Total number of fruits = 12 + 17 + 13 + 8

Evaluate the like terms

Total number of fruits = 50

The total number of mango,  june plum or cashew pack is

Selected fruit = Mangoes + Cashew packs + June plums

So, we have

Selected fruit = 12 + 17 + 13

Evaluate

Selected fruit = 42

The probability of picking any of these fruits is then calculated as

Probability (P) = Selected Fruit/Total number of fruits

So, we have

P = 42/50

Evaluate

P = 0.84

Hence, the value of the probability is 0.84

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Answer:

Area: 776.7 ft²

Perimeter: 55.1 ft

Step-by-step explanation:

The figure is composed of two semi-circles and a rectangle, solve for the area of each figure:

Two semi-circles (which is one circle because they have the same diameter):

\(A_1=\pi r^2\\A_1=\pi 7.5^2\\A_1=176.714586764...\)

The rectangle:

\(A_2=bh\\A_2=4*15\\A_2=60\)

Add them up to get:

\(A=176.714586764...+600\\A=776.714586764...\)

Rounding gives 776.7

Now, the perimeter.

Solve for the circumference of the circle and add only the bases of the rectangle:

\(C=d\pi \\C=15\pi\\C=47.1238898038...\)

And add the two bases:

\(P=47.1238898038...+2b\\P=47.1238898038...+2(4)\\P=47.1238898038...+8\\P=55.1238898038...\)

Rounding gives 55.1

And don't forget to put the units.