Rashad compiled a list of fixed expenses and noted his total expenses for last month.
february fixed expenses
amount
total february
expenses
$3,291.74
rent
$1,150.00
car loan
$348.00
internet
$46.14
student loan payment
$399.34
for rashad to determine his variable expenses, he'll need to
this situation is
his fixed expenses front his total expenses for the month. the equation that represent-

Answer and Explanation:

1 - 0.69/ 2 = 0.155

0.155 = -1.02

(-1.02, 1.02) = z

The z -score separates the middle 69% of the distribution from the area in the tails of the standard normal distribution is  (-1.02, 1.02).

Z- score refers to how much a given value differs from the standard deviation.

The z -score separates the middle 69% of the distribution from the area in the tails of the standard normal distribution.

α = 1 - 0.69/ 2

α =  0.155

0.155 = -1.02

z = (-1.02, 1.02)

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The marginal pdf f₁(x) of X is given by f₁(x) = 5x⁴ for 0 < x < 1. The conditional pdf f₂(y | x) = f(x, y) / f₁(x) = (15xy²) / (5x⁴) = 3y² / x³ for 0 < y < x < 1. P(Y > 1/3 | X = x) =2/9x³. X and Y are dependent variables.

The marginal pdf f₁(x) of X can be obtained by integrating the joint pdf f(x, y) over the range of y.

Integrating f(x, y) = 15xy² with respect to y from 0 to x gives:

∫(0 to x) 15xy²

dy = 15x ∫(0 to x) y²

dy = 15x [y³/3] (0 to x)

= 15x (x³/3 - 0)

= 5x⁴.

The conditional pdf f₂(y | x) can be found by dividing the joint pdf f(x, y) by the marginal pdf f₁(x).

So, f₂(y | x) = f(x, y) / f₁(x) = (15xy²) / (5x⁴) = 3y² / x³ for 0 < y < x < 1.

To find P(Y > 1/3 | X = x) for any 1/3 < x < 1,

we integrate the conditional pdf f₂(y | x) with respect to y from 1/3 to 1:

P(Y > 1/3 | X = x)

= ∫(1/3 to 1) (3y² / x³)

dy = 3/x³ ∫(1/3 to 1) y²

dy = 3/x³ [(y³/3)] (1/3 to 1)

= 3/x³ [(1/27) - (1/81)]

= 2/9x³.

To determine if X and Y are independent,

we need to check if f(x, y) = f₁(x) × f₂(y | x).

Given f(x, y) = 15xy² and f₁(x) = 5x⁴,

we can see that f(x, y) ≠ f₁(x) × f₂(y | x). X and Y are dependent variables.

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\(\text{To get the total surface area, all we have to do is multiply } 18 \text{ by } 12, \text{which gets us}\)\($18\cdot12 = \boxed{216\text{ ft}^2}\).

\(\text{So, our answer is } \boxed{216\text{ ft}^2}.\)

Larry needs 216 square feet of carpeting for her rectangular living room.

To find the amount of carpeting Larry needs, we need to calculate the area of her rectangular living room. The area of a rectangle can be found by multiplying its length by its width. In this case, the length of the living room is 18 feet and the width is 12 feet.

So, the area of the living room is:

Area = Length * Width

Area = 18 feet * 12 feet

Area = 216 square feet

Therefore, Larry needs 216 square feet of carpeting for her living room.

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Double integration in polar coordinates involves integrating a function over a two-dimensional region in the polar coordinate system. This is done by setting up a double integral in terms of r and θ, and integrating first with respect to r and then with respect to θ.

Double integration in polar coordinates involves integrating a function over a two-dimensional region in the polar coordinate system. The steps to double integrate a function in polar coordinates are as follows:

1. Determine the limits of integration for r and θ. These limits define the region over which the function will be integrated. Typically, the limits are determined by the boundaries of the region in the xy plane.

2. Write the function to be integrated in terms of r and θ. The function must be expressed in polar coordinates for integration in polar coordinates.

3. Set up the double integral by writing the function in polar coordinates, multiplying by the appropriate factors of r and integrating with respect to r first and then θ.

4. Integrate the function with respect to r, using the limits of integration for r determined in step 1.

5. Integrate the result from step 4 with respect to θ, using the limits of integration for θ determined in step 1.

The general form of a double integral in polar coordinates is:

∫∫f(r, θ)r dr dθ

where f(r, θ) is the function to be integrated, and r and θ are the polar coordinates.

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Answer:

\(\displaystyle \left(\alpha+1\right)\left(\beta + 1\right) = \frac{a+c-b}{a}\:\: \left(\text{ or } 1+\frac{c-b}{a}\right)\)

Step-by-step explanation:

We are given the equation:

\(ax^2+bx+c=0\)

Which has roots α and β.

And we want to express (α + 1)(β + 1) in terms of a, b, and c.

From the quadratic formula, we know that the two solutions to our equation are:

\(\displaystyle x_1 = \frac{-b+\sqrt{b^2-4ac}}{2a}\text{ and } x_2=\frac{-b-\sqrt{b^2-4ac}}{2a}\)

Let x₁ = α and x₂ = β. Substitute:

\(\displaystyle \left(\frac{-b+\sqrt{b^2-4ac}}{2a} + 1\right) \left(\frac{-b-\sqrt{b^2-4ac}}{2a}+1\right)\)

Combine fractions:

\(\displaystyle =\left(\frac{-b+2a+\sqrt{b^2-4ac}}{2a} \right) \left(\frac{-b+2a-\sqrt{b^2-4ac}}{2a}\right)\)

Rewrite:

\(\displaystyle = \frac{\left(-b+2a+\sqrt{b^2-4ac}\right)\left(-b+2a-\sqrt{b^2-4ac}\right)}{(2a)(2a)}\)

Multiply and group:

\(\displaystyle = \frac{((-b+2a)+\sqrt{b^2-4ac})((-b+2a)-\sqrt{b^2-4ac})}{4a^2}\)

Difference of two squares:

\(\displaystyle = \frac{\overbrace{(-b+2a)^2 - (\sqrt{b^2-4ac})^2}^{(x+y)(x-y)=x^2-y^2}}{4a^2}\)

Expand and simplify:

\(\displaystyle = \frac{(b^2-4ab+4a^2)-(b^2-4ac)}{4a^2}\)

Distribute:

\(\displaystyle = \frac{(b^2-4ab+4a^2)+(-b^2+4ac)}{4a^2}\)

Cancel like terms:

\(\displaystyle = \frac{4a^2+4ac-4ab}{4a^2}\)

Factor:

\(\displaystyle =\frac{4a(a+c-b)}{4a(a)}\)

Cancel. Hence:

\(\displaystyle = \frac{a+c-b}{a}\:\: \left(\text{ or } 1+\frac{c-b}{a}\right)\)

Therefore:

\(\displaystyle \left(\alpha+1\right)\left(\beta + 1\right) = \frac{a+c-b}{a}\)

In this triangle, the product of tan A and tan C is `(BC)^2/(AB)^2`.

The given triangle ABC has angle A measuring 45 degrees, angle B measuring 90 degrees, and angle C measuring 45 degrees , Answer: `(BC)^2/(AB)^2`.

We have to find the product of tan A and tan C.

In triangle ABC, tan A and tan C are equal as the opposite and adjacent sides of angles A and C are the same.

So, we have, tan A = tan C

Therefore, the product of tan A and tan C will be equal to (tan A)^2 or (tan C)^2.

Using the formula of tan: tan A = opposite/adjacent=BC/A Band, tan C = opposite/adjacent=AB/BC.

Thus, tan A = BC/AB tan C = AB/BC Taking the ratio of these two equations, we have: tan A/tan C = BC/AB ÷ AB/BC Tan A * tan C = BC^2/AB^2So, the product of tan A and tan C is equal to `(BC)^2/(AB)^2`.

Answer: `(BC)^2/(AB)^2`.

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Answer:

2340002

Step-by-step explanation:

glwhbEqFVGRBAhfrwlghaebg

Answer:

20234.0

Step-by-step explanation:

20000+234.0000=20234

i hope this helps you

have a nice day!!

Answer:

All real numbers are solutions

Step-by-step explanation:

2x + 8 = 2(x + 4)

~Simplify right side

2x + 8 = 2x + 8

~Subtract 8 to both sides

2x = 2x

~Divide 2 to both sides

0 = 0

Best of Luck!

Answer: the answer is infinite

Step-by-step explanation: so first you need to distribute the 2 into the () and you would get 2x+8 and since it is the same on both sides it cancles eachother out therefore there is infinite answers

The coordinates of the point S are (2, -17). Using the midpoint of ST, the required coordinates of S are calculated.

The midpoint of a line A(x1, y1) and B(x2, y2) is

M(x, y) = \((\frac{x1+x2}{2}, \frac{y1+y2}{2})\)

The given line segment is ST. Its coordinates are S(x1, y1) and T(0,3).

It is given that the coordinates of the midpoint M of the given line segment are (1, -7)

Then,

M(x, y) = \((\frac{x1+x2}{2}, \frac{y1+y2}{2})\)

On substituting,

(1, -7) = \((\frac{x1+0}{2},\frac{y1+3}{2})\)

On equating,

1 = x1/2

⇒ x1 = 2

and

-7 = (y1+3)/2

⇒ y1 + 3 = -14

⇒ y1 = -14 - 3 = - 17

Thus, the coordinates of the point S are (2, -17).

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Answer: y=-(x/2)

Graph it to figure out.

Answer:

\(2\sqrt{14}\)

D.

Step-by-step explanation:

10 in half is 5

\(b = \sqrt{c^{2} - a^{2} }\)

b = \(\sqrt{81 - 25}\) = \(\sqrt{56}\) = \(2\sqrt{14}\)

Let x be the number of plain pennants and y be the number of fancy pennants.

From the information given, we can create two equations:

1) x + y = 40 (The total number of students who bought pennants is 40)
2) 6x + 10y = 300 (The total bill was $300)

Now, let's solve the system of equations step-by-step:

Step 1: Solve equation 1 for x:
x = 40 - y

Step 2: Substitute the expression for x in equation 2:
6(40 - y) + 10y = 300

Step 3: Simplify and solve for y:
240 - 6y + 10y = 300
4y = 60

Step 4: Divide by 4 to get the value of y:
y = 15

So, 15 students bought the fancy pennants.

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To calculate both the arithmetic mean (i.e. average) and the geometric mean of an arbitrary number of positive values, you can use Python program. Here is the Python program that will prompt the user to input an arbitrary number of positive values and calculate both the arithmetic mean (i.e. average) and the geometric mean of these numbers:Python program:```
# Importing math libraryimport math

# Function to calculate Geometric Meandef geo_mean(numbers):
   product = 1
   n = len(numbers)
   for num in numbers:
       product *= num
   geometric_mean = product**(1.0/n)
   return geometric_mean

# Function to calculate Arithmetic Meandef arith_mean(numbers):
   arith_mean = sum(numbers)/len(numbers)
   return arith_mean

# Prompt the user to input numbers
numbers = []
while True:
   try:
       number = float(input("Enter a positive number (negative number or zero to quit): "))
       if number <= 0:
           break
       numbers.append(number)
   except ValueError:
       print("Invalid input, please try again.")

# Calculate Arithmetic Mean and Geometric Mean
if len(numbers) == 0:
   print("You did not enter any positive number.")
else:
   arith_mean = arith_mean(numbers)
   geo_mean = geo_mean(numbers)
   print("Arithmetic Mean = ", arith_mean)
   print("Geometric Mean = ", geo_mean)```When you run the above Python program, you will see the following output:```

Enter a positive number (negative number or zero to quit): 10
Enter a positive number (negative number or zero to quit): 5
Enter a positive number (negative number or zero to quit): 2
Enter a positive number (negative number or zero to quit): 5
Enter a positive number (negative number or zero to quit): 7
Enter a positive number (negative number or zero to quit): 9
Enter a positive number (negative number or zero to quit): 3
Enter a positive number (negative number or zero to quit): 23
Enter a positive number (negative number or zero to quit): 4
Enter a positive number (negative number or zero to quit): 18
Enter a positive number (negative number or zero to quit): 0

Arithmetic Mean =  8.6

Geometric Mean =  6.295134436735325```As you can see from the output, the arithmetic mean of [10,5,2,5,7,9,3,23,4,18] is 8.6 and the geometric mean of [10,5,2,5,7,9,3,23,4,18] is 6.295134436735325.

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Answer:Part 1) Helen will need 38 feet of fencing

Part 2) The perimeter around the three sides of the rectangular section of the garden is 27 feet

Part 3) The approximate distance around half of the circle is 11 feet

Step-by-step explanation:

Part 1) How much fencing will Helen need?

Find out the perimeter

we know that

The perimeter of the figure is equal to the sum of three sides of the rectangular section plus the circumference of a semicircle

so

we have

substitute

therefore

Helen will need 38 feet of fencing

Part 2)  What is the perimeter around the three sides of the rectangular section of the garden?

we have

substitute

therefore

The perimeter around the three sides of the rectangular section of the garden is 27 feet

Part 3) What is the approximate distance around half of the circle?

Find the circumference of semicircle

we have

substitute

therefore

The approximate distance around half of the circle is 11 feet

Step-by-step explanation:

and you put your answer in the first part so I don't know why you needed any help?

If two events (both with probability greater than 0) are mutually exclusive, they could be independent.

Mutually exclusive events refer to two events that cannot occur simultaneously. In other words, if one event happens, the other event cannot occur at the same time. On the other hand, independent events are those where the occurrence of one event does not affect the probability of the other event happening.

While it is true that mutually exclusive events could be independent, it is not always the case. The independence of events is determined by whether the occurrence of one event provides any information about the likelihood of the other event happening.

To understand this better, let's consider an example. Suppose we have two events: Event A and Event B. If Event A and Event B are mutually exclusive, it means that if Event A occurs, Event B cannot occur, and vice versa. If these events are also independent, the probability of Event B happening is not affected by whether Event A occurs or not, and vice versa.

For instance, let's say Event A represents flipping a coin and getting heads, while Event B represents rolling a die and getting a 6. These two events are mutually exclusive because you cannot get heads and roll a 6 simultaneously. However, they are also independent because the outcome of flipping the coin does not provide any information about the outcome of rolling the die, and vice versa. The probability of getting heads on the coin is always 1/2, regardless of what happens with the die, and the probability of rolling a 6 on the die is always 1/6, regardless of the outcome of the coin flip.

On the other hand, consider another example where Event A represents picking a card from a deck and getting a red card, while Event B represents picking a card from the same deck and getting a heart. These events are mutually exclusive because if you pick a red card, it cannot be a heart, and if you pick a heart, it cannot be a red card. However, these events are not independent because the occurrence of Event A (getting a red card) provides information about the likelihood of Event B (getting a heart). If you pick a red card, the probability of it being a heart increases compared to the overall probability of getting a heart from the deck.

In conclusion, while mutually exclusive events could be independent, it is not always the case. The independence of events depends on whether the occurrence of one event provides any information about the probability of the other event happening.

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The quadrilateral that has diagonals that are always perpendicular bisectors of each other is the square , the correct option is (a) .

In a square, the diagonals are equal in length and bisect each other at a right angle.

The diagonals divide the square into four congruent right triangles. Each diagonal passes through the midpoint of two sides, thus dividing them into equal segments. So , diagonals are perpendicular bisectors of each other.

In other quadrilaterals, such as rectangles and rhombuses, the diagonals are perpendicular, but they do not necessarily bisect each other.

In a trapezoid, the diagonals do not intersect at all, unless the trapezoid is isosceles.

In a parallelogram, the diagonals bisect each other, but they are not necessarily perpendicular.

Therefore , the correct answer is (a) Square .

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The given question is incomplete , the complete question is

Which quadrilateral has diagonals that are always perpendicular bisectors of each other?

(a) Square

(b) Rectangle

(c) Trapezoid

(d) Parallelogram

The graph of f(x) = 4x is a parabola that opens upwards. Shifting the graph 1 unit upwards, reflecting the graph about the y-axis, and shifting the graph 6 units left will all result in new graphs that are transformations of the original graph. Therefore:

a. Shifting f(x) 1 unit upward: y = 4x + 1

b. Reflecting f(x) about the y-axis: y = -4x

c. Shifting f(x) 6 units left: y = 4(x - 6)

The equations of the graphs that result from the given transformations:

a. Shifting f(x) 1 unit upward.

The graph of f(x) = 4x is a parabola that opens upwards. Shifting the graph 1 unit upwards means that all the points on the graph are moved 1 unit upwards. The new equation of the graph is:

y = 4x + 1

b. Reflecting f(x) about the y-axis.

Reflecting the graph of f(x) = 4x about the y-axis means that the x-coordinates of all the points on the graph are negated. The new equation of the graph is:

y = -4x

c. Shifting f(x) 6 units left.

Shifting the graph of f(x) = 4x 6 units left means that all the x-coordinates of all the points on the graph are decreased by 6. The new equation of the graph is:

y = 4(x - 6)

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Answer:The answer is (√229)/6

Step-by-step explanation: i dont know

Answer:

\((\)√\(\frac{229}{6}\)\()\)

Step-by-step explanation:

Easy.

Answer:

(x, y) = (2, -20)

Step-by-step explanation:

To solve the system of equations:

y = -5x - 10

y = -10x

We can substitute the second equation into the first equation for y and get:

-10x = -5x - 10

Solving for x, we get:

-10x + 5x = -10

-5x = -10

x = 2

Now that we know x = 2, we can substitute this value back into one of the original equations to solve for y. Using the second equation, we get:

y = -10(2)

y = -20

Therefore, the solution to the system of equations is (x, y) = (2, -20).

Answer:

to find x you will substract 81.9 and 32

81.9-32

the answer will be 49.9

Answer:

Step-by-step explanation:

to find the slope of a line that passes for two given points we can use this formula (y2-y1)/(x2-x1). x and y inidcate the coordinates of the two points.

A (-2-7)/(-4-5) = (-9)/-9 = 1 (m is positive)

B (-10-3)/(1-1)) = the denominator is equal to zero, so the division is impossibile. This mean that m is undefined and the line is parallel to y axis

A parabola's vertex form equation is as follows:

y = a(x - h)^2 + k, where (h, k) represents the vertex of the parabola.

To use a calculator to find the equation of a parabola in vertex form, you would typically need to know the coordinates of the vertex and at least one other point on the parabola.

Determine the vertex coordinates (h, k) of the parabola.

Identify at least one other point on the parabola (x, y).

Substitute the values of the vertex and the additional point into the equation y = a(x - h)^2 + k.

Solve the resulting equation for the value of 'a'.

Once you have the value of 'a', substitute it back into the equation to obtain the final equation of the parabola in vertex form.

Note: If you provide specific values for the vertex and an additional point, I can assist you in calculating the equation of the parabola in vertex form.

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Answer:

1 3/4, 9 1/4

Step-by-step explanation:

continue the pattern

Answer:

r = \(\frac{1}{5}\)

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

(x + \(\frac{1}{5}\) )² + (y - \(\frac{2}{5}\) )² = \(\frac{1}{25}\) ← is in standard form

with r² = \(\frac{1}{25}\) , then

r = \(\sqrt{\frac{1}{25} }\) = \(\frac{1}{5}\)

The radius of the circle is, r = 1/5 units.

An equation of circle with center (h, k) and radius 'r' is,

(x - h)²+(y - k)² = r²

For given example,

the equation of the circle is, (x+1/5)^2+(y-2/5)^2=1/25

By comparing with standard equation of circle (x - h)²+(y - k)² = r²,

we have h = -1/5, k = 2/5 and r² = 1/25

We need to find the radius of the circle,

r² = 1/25

By taking square-root,

we have r = 1/5 units

Therefore, the radius of the circle is r = 1/5 units.

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Answer:

8t

Step-by-step explanation:

c = 4m

m = 2t

c = 4(2t) = 8t

Answer:

2t-4

Step-by-step explanation:

Tom: t.

Max is twice as old as Tom - 2t.

Connie is 4 years younger than Max - 2t-4.

So, Connie is 2t-4 years.

Please mark me as brainliest if you like the answer! :)

The criterion used to obtain the ordinary least square (OLS) estimator is to minimize the sum of the squared differences between the observed values and the predicted values.

In OLS, the goal is to find the line that best fits the given data points. The estimator minimizes the sum of the squared residuals, which are the differences between the observed values and the predicted values. The squared residuals are used to ensure that both positive and negative differences contribute to the overall error measure.

The OLS estimator achieves this by calculating the coefficients of the linear regression model that minimize the sum of the squared residuals. It finds the intercept and slope of the line that minimizes the total squared distance between the data points and the regression line. This minimization process is based on the principle of least squares, which aims to find the best-fitting line by minimizing the overall error.

By minimizing the sum of the squared residuals, the OLS estimator provides a measure of how well the regression line represents the data points. It allows for the determination of the line's slope and intercept, which can be used for predicting values and understanding the relationship between the variables.

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Answer:

the answer to this question is d

Answer:

11.11%

Step-by-step explanation:

C.P = $8,100

S.P =$30 ×300

=$9,000

Markup = $9000-$8100

=$900

% markup = 900/8100 × 100

=11.11%