the distribution function of the univariate random variable x is continuous at x if and only if p(x

The square root of 7 belongs to the set of irrational numbers and the set of real numbers. Option B is correct.

In mathematics, a rational number is a number that can be described as the result of a fraction of value or does not have face value.

The square root of 7 is an irrational number because it cannot be expressed as a finite decimal or a fraction. Irrational numbers are a subset of real numbers, which is a set that includes all the real numbers, including both rational and irrational numbers.

Option B) "irrational and real numbers" is the correct answer.

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Answer:

When x = 4, (4, 0)

When y = 4, (6, 4)

Step-by-step explanation:

To find the ordered-pair solution when x = 4, plug 4 into the x of the equation.

y = 2x - 8

y = 2(4) - 8

y = 8 - 8

y = 0

This produces the ordered pair (4, 0).

To find the ordered-pair solution when y = 4, plug 4 into the y of the equation.

y = 2x - 8

4 = 2x - 8

12 = 2x

6 = x

x = 6

This produces the ordered pair (6, 4).

Answer:

14. B

pls give brainliest <3

The population scenario of Dhaka City is characterized by rapid urbanization, high population density, and significant population growth.

1. The population scenario of Dhaka City is characterized by rapid urbanization, high population density, and significant population growth. These factors have led to numerous challenges, including increased traffic congestion, inadequate infrastructure, and strain on public services. The city's population is growing at a rapid pace, resulting in overcrowding, housing shortages, and environmental concerns.

2. To mitigate the present traffic jam situation in Dhaka City, a restructuring of the population can be pursued through various strategies. One approach is to promote decentralization by developing satellite towns or encouraging businesses and industries to establish themselves in other regions. This would help reduce the concentration of population and economic activities in the city center. Additionally, improving public transportation systems, including expanding the metro rail network, introducing dedicated bus lanes, and enhancing cycling and pedestrian infrastructure, can provide viable alternatives to private vehicles. Encouraging telecommuting and flexible work arrangements can also help reduce the number of daily commuters. Moreover, urban planning should focus on creating mixed-use neighborhoods with residential, commercial, and recreational spaces to minimize the need for long-distance travel.

By implementing these measures, the population of Dhaka City can be restructured in a way that reduces the strain on transportation systems, alleviates traffic congestion, and creates a more sustainable and livable urban environment.

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The only option that represents the correct repeating decimal is; Option C; 0.35 + 0.0035 + 0.000035

We want to find the option that is equal to the repeating decimal 0.353535.

Option A; 35 + 0.35 + 0.0035

When we add the above, we arrive at 35.3535 which is not equal to 0.353535. Thus, option A is incorrect.

Option B; 0.0035+ 0.000035 + 0.00000035

When we add the above, we arrive at 0.00353535 which is not equal to 0.353535. Thus, option B is incorrect.

Option C; 0.35 + 0.0035 + 0.000035

When we add the above, we arrive at 0.353535 which is not equal to 0.353535. Thus, option C is correct.

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Answer:

1.) C - 0.35+0.0035+0.000035+...

2.) The first term of the geometric series is 0.35.

3.) The common ratio of the geometric series is 0.01

4.) The simplified fractional representation of 0.353535... is 35 / 99

Step-by-step explanation:

Edge

The charity will make $367.50 if Greg's grandmother makes 15 bulky scarves with her yarn.

Two or more expressions with an Equal sign is called as Equation.

If Greg's grandmother has no more than 2,250 yards of yarn, and each bulky scarf requires 150 yards of yarn, then she can make at most 2,250/150 = 15 bulky scarves.

Each scarf will be sold for $24.50

If she makes 15 bulky scarves then the charity will make

15 x $24.50

= $367.50.

Therefore, the charity will make $367.50 if Greg's grandmother makes 15 bulky scarves with her yarn.

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After 40 days 4467 bees will be the population after 40 days.

An exponential function is a Mathematical function in the form f (x) = ax, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.

Given here: A hive of bees contains 27 bees when it is first discovered. After 4 days, there are 45 bees. The population of bees also increase exponentially.

let the function that gives the population of bees after given days

f(x)=aˣ27

a⁴×27=45

       a= \(\sqrt[4]{45/27}\)

        a=1.1362

Thus for x= 40 we have f(40)=1.1362⁴⁰×27

                                               = 4465.69

                                               =4467 (approx)

Hence, After 40 days 4467 bees will be the population after 40 days

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Answer:

radius ≈ 15 cm

Step-by-step explanation:

Area = πr²

706.95 ÷ π = r²

r² = 225.029174

r ≈ 15.00097244 cm

Answer:

all you need to do is multiply length times width times height.

Step-by-step explanation:

5 1/2 x 3= 16.5

16.5 x 2 1/4= 453.75

now just add both answers :)

I really hope this helps! <3 Good luck!

Answer:

I think it is d

Step-by-step explanation:

When you think about it, this makes the most sense!

Have an amazing day!

PLEASE RATE AND MARK BRAINLIEST!!

Explanation:

The c-7 up top represents "7 subtracted from a number".

The term quotient refers to the result of division.

So we're dividing all of (c-7) over top 4 to get the quotient \(\frac{c-7}{4}\)

Answer:

Im so sorry but I have no idea

Step-by-step explanation:

1. If the serial number 1207 is a Tuesday, the serial number 1210 would be on Friday.

2. The result of the formula "1:30" is 1 hour and 30 minutes.

3. The formula =DATE(2017,7,2) will return July 2, 2017.

4. To find the difference between two dates listed in years instead of days, use the YEARFRAC function.

5. The statement "You can’t edit conditional rules, but you can delete them and then create new ones" is FALSE regarding the Conditional Formatting Rules Manager.

6. If the actual rent increases to 26,000, both the Actual and Difference conditional formatting graphics will change.

1. By considering the days of the week in order, serial number 1210 would be on Friday, as it follows the pattern of consecutive days.

2. The formula "1:30" represents 1 hour and 30 minutes.

3. The formula =DATE(2017,7,2) specifies the date as July 2, 2017.

4. The function YEARFRAC is used to find the difference between two dates in years, taking into account fractional parts of a year.

5. The Conditional Formatting Rules Manager allows you to create, edit, and delete rules. You can edit conditional rules by selecting them and making the necessary changes.

6. If the actual rent increases to 26,000, both the Actual and Difference conditional formatting graphics will change, as the Difference column is calculated as budget minus actual amount, and any change in the actual rent would affect both values.

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Answer: c. det(PAP^-1) = det(A)

To show that det(PAP-1) = det(P)det(A)det(P^-1), we can use the following properties of determinants:

1. det(AB) = det(A)det(B) for any matrices A and B

2. det(A^-1) = 1/det(A) for any invertible matrix A

Starting with det(PAP^-1), we can apply property 1 to get:

det(PAP^-1) = det(P)det(A)det(P^-1)

Then, we can use property 2 to rewrite det(P^-1) as:

det(PAP^-1) = det(P)det(A)(1/det(P))

Simplifying this expression gives:

det(PAP^-1) = det(A)

Therefore, det(PAP^-1) = det(P)det(A)det(P^-1) is equivalent to det(PAP^-1) = det(A).

So, the correct answer is:

c. det(PAP^-1) = det(A)

Answer: The number 65 is called the numerator or dividend, and the number 7 is called the denominator or divisor.

The quotient of 65 and 7, the ratio of 65 and 7, as well as the fraction of 65 and 7 all mean (almost) the same:

65 divided by 7, often written as 65/7.

Read on to find the result of 65 divided by 7 in decimal notation, along with its properties.

Step-by-step explanation:

9 Remainder 2

Utility function is the function that measures the utility level of a good to an individual. Utility levels can be measured numerically, and this is measured using a utility function.

Hence, the function U (x,y) = x0.4y0.6 is a utility function.

The following are the solutions to the questions given:

(a) The assumption that more is better satisfied for both goods. As an increase in one good will result in the increase of the utility function, then the assumption that more is better is satisfied for both goods.

(b) The marginal utility of x will diminish as the consumer buys more x.

Since the marginal utility of a good decreases as its quantity consumed increases, therefore, the marginal utility of x will diminish as the consumer buys more x.

(c) The marginal rate of substitution is given by the ratio of the marginal utilities of the two goods;

i.e., MRS x,y = (MU x )/(MU y ).

Differentiating the given utility function with respect to x and y, MU x = 0.4(x0.4-1) y0.6, and MU y = 0.6(x0.4) y0.6-1.

Hence, MRS x,y = (MU x )/(MU y ) = (0.4(x0.4-1) y0.6)/(0.6(x0.4) y0.6-1) = (2/3) x/y.

(d) MRS x,y is diminishing as the consumer substitutes x for y along the indifference curve.

This is because the marginal utility of the two goods is decreasing.

(e) To graph the indifference curve, we put x on the horizontal axis and y on the vertical axis.

The function U (x,y) = x0.4y0.6 represents a family of indifference curves, and we choose U1 to sketch on the graph. U1 is a curve that is convex to the origin, indicating that MRS x,y is diminishing.

The curve will not intersect either axis.

(f) To sketch U2, we will have to increase the utility level from U1. This means that we have to shift the curve outward from the origin.

Hence, U2 is a curve that is also convex to the origin but lies farther from the origin than U1.

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Answer:

60 because I added all of them

The probability of getting stuck in traffic on any given day when leaving the city is 70%. When considering two separate days, we can use the multiplication rule of probability to find the probability of getting stuck in traffic on both days.

The multiplication rule of probability states that the probability of two independent events occurring together is the product of their individual probabilities. In this case, the events of getting stuck in traffic on two separate days are independent, meaning that the occurrence of one does not affect the probability of the other.

To find the probability of getting stuck in traffic on both days, we can multiply the probability of getting stuck on the first day (0.7) by the probability of getting stuck on the second day (also 0.7):

P(getting stuck on both days) = P(getting stuck on day 1) x P(getting stuck on day 2)
P(getting stuck on both days) = 0.7 x 0.7
P(getting stuck on both days) = 0.49 or 49%

Therefore, the probability of getting stuck in traffic on both days is 49%. This means that there is a less than 50% chance of getting stuck in traffic on both days, despite the 70% chance of getting stuck on each individual day.

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The overall order of the reaction is the sum of the orders of the individual reactants, a + b. Therefore, the overall order of the reaction is 2 (1 + 1 = 2).

A. The order of the reaction in X is 1.

B. The order of the reaction in Y is 1.

C. The overall order of the reaction is 2.

The orders of a reaction can be determined from the initial rates obtained from the different experiments. The reaction rate is proportional to the concentrations of the reactants raised to the powers of the order of each reactant.

In experiment 1, the initial rate (2.83 M/s) is proportional to the concentration of X raised to the power of a (2.83 = k[X]^a). Therefore, a = 1.

In experiment 2, the initial rate (2.83 M/s) is proportional to the concentration of Y raised to the power of b (2.83 = k[Y]^b). Therefore, b = 1.

In experiment 3, the initial rate (25.47 M/s) is proportional to the concentration of X raised to the power of a (25.47 = k[X]^a) and the concentration of Y raised to the power of b (25.47 = k[Y]^b). Therefore, a = 1 and b = 1.

The overall order of the reaction is the sum of the orders of the individual reactants, a + b. Therefore, the overall order of the reaction is 2 (1 + 1 = 2).

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Answer:

a rational number

Step-by-step explanation:

a rational number + a rational number will always be a rational number.

Mia can create a scale drawing of a football field using a scale of 1:1,000. The scale drawing will provide a Visual representation of the field, allowing for easier analysis and planning.

To create a scale drawing of a football field using a scale of 1:1,000, Mia can follow these steps:

1. Determine the dimensions: The football field's dimensions are given as 120 yards by 53 1/3 yards. Convert the fractional measurement to a decimal for simplicity. In this case, 1/3 yard is approximately 0.333 yards.

2. Decide on the units: Since the scale is 1:1,000, Mia needs to determine the unit of measurement she will use in her scale drawing. For consistency, she can choose to use feet as the unit.

3. Calculate the scaled dimensions: To create the scale drawing, Mia needs to scale down the dimensions of the football field. Since the scale is 1:1,000, she can divide the actual dimensions by 1,000 to obtain the scaled dimensions. The scaled dimensions would be 120 yards / 1,000 = 0.12 yards (or 0.36 feet) for the length and 53.333 yards / 1,000 = 0.053333 yards (or 0.16 feet) for the width.

4. Draw the scaled football field: Using a ruler and a grid paper, Mia can draw a rectangle with dimensions of 0.12 feet by 0.053333 feet (or inches, depending on the size of the grid paper). She can label the sides of the rectangle with the corresponding measurements in feet.

5. Add additional markings: Mia can add other markings to the scale drawing, such as the goal posts, yard markers, and any other important features of the football field. She can refer to the actual measurements and proportions of these elements to ensure accuracy.

By following these steps, Mia can create a scale drawing of a football field using a scale of 1:1,000. The scale drawing will provide a visual representation of the field, allowing for easier analysis and planning.

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Answer:

150 + 10n

Step-by-step explanation:

Step 1: Write expression

10(15 + n)

Step 2: Distribute (Distributive Property)

150 + 10n

We simply distribute the 10 to both terms in the parenthesis.

Answer:

the last one is the answer!

Answer:

-12.6

Step-by-step explanation:

To find the cross product of two vectors, we can use the determinant method. The formula for the cross product of two vectors a and b is given by a × b = |i  j  k|, where the coefficients of i, j, and k are the determinants of the 2x2 matrices formed by excluding the row and column that correspond to that variable.

Using this formula, we can find the cross product of a and b as follows:

a × b = |i  j  k|
      |1  0   -1|
      |0  10 -1|

= i(0+10e^(-t)) - j(e^(-t) -0) + k(e^(-t)-0)

= 10i + (1-e^(-t))j + e^(-t)k

The cross product of two vectors is a vector that is perpendicular to both the vectors and has a magnitude equal to the product of their magnitudes multiplied by the sine of the angle between them. In three-dimensional space, the cross product is used to determine the orientation of two vectors in relation to each other.

In this problem, we are given two vectors a and b, and we need to find their cross product. We can use the determinant method to find the cross product as shown above.

The cross product of a and b is 10i + (1-e^(-t))j + e^(-t)k.

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Answer:

7840

Step-by-step explanation:

start with the (). 99-64 is 35. then 35 times 2 is 70. 16 times 7 (whats on the outside) is 112 and 112 times 70 is 7840

Answer: 28

Step-by-step explanation:

16% = 0.16

Percents are just decimals!

Now you can put this in your calculator, and you will get 28.

However:

It might help you later to know that x% of y = y% of x

In other words, 16% of 175 is the same thing as 175% of 16

This problem is easier, since we can break 175% into 1 and 3/4th. 3/4th of 16 is easy to calculate, (its 12), and so we can add 12 to 16 to find the answer, which is still 28 :)

No calculator needed!

Answer:

Perimeter is 80ft

Area is 360 sq.ft

3rd answer choice

Step-by-step explanation:

Perimeter is the sum of the length of the sides used to make the given figure. The perimeter of the given figure is 80 ft, while the total area of the given figure is 360 ft². The correct option is C.

Perimeter is the sum of the length of the sides used to make the given figure.

The perimeter of a polygon is the sum of the length of all the sides of a polygon. Therefore, the perimeter of the given polynomial can be written as,

The perimeter of the polynomial = 15ft + 20ft + 17ft + 8ft + 20ft

= 80 ft

The area of the polygon can be calculated by calculating the area of the triangle and the rectangle individually and then adding them up.

Area of rectangle = 20ft  × 15 ft = 300 ft²

Area of triangle = 0.5 × 8ft × 15ft = 60 ft²

Total area of the given figure = 300 ft² + 60 ft² = 360 ft²

Hence, the perimeter of the given figure is 80 ft, while the total area of the given figure is 360 ft².

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Answer:

7

Step-by-step explanation:

8 units separate -4 and 4

8 divided by 2 (which is the x of slope) is four

Four times 1 (which is y of slope) equals four

3+4 equals seven

(4,7)

The pore compressibility (Cpp) can be calculated using the given parameters: porosity (0), Young's modulus (E), and Poisson's ratio (v). With a porosity of 0.2, Young's modulus of 10 GPa, and Poisson's ratio of 0.2, we can determine the pore compressibility.

Pore compressibility is a measure of how much a porous material, such as soil or rock, compresses under the application of pressure. It quantifies the change in pore volume with respect to changes in pressure.

Cpp = (1 - φ) / (E * (1 - 2ν))

Given the values:

φ = 0.2 (porosity)

E = 10 GPa (Young's modulus)

ν = 0.2 (Poisson's ratio)

Substituting these values into the formula, we have:

Cpp = (1 - 0.2) / (10 GPa * (1 - 2 * 0.2))

Simplifying the equation, we get:

Cpp = 0.8 / (10 GPa * (1 - 0.4))

   = 0.8 / (10 GPa * 0.6)

   = 0.8 / 6 GPa

   = 0.133 GPa^(-1)

Therefore, the pore compressibility (Cpp) is approximately 0.133 GPa^(-1).

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