Determine whether the value is a discrete random​ variable, continuous random​ variable, or not a random variable. a. The height of a randomly selected giraffe b. The number of points scored during a basketball game c. The gender of college students d. The amount of rain in City Upper B during April e. The number of fish caught during a fishing tournament f. The number of bald eagles in a country

To simplify the expression, we can divide each term of the polynomial by the monomial:

30c^8d^3 / 12c^2d = 2.5c^6d^2

-3bc^6d^2 / 12c^2d = -0.25bc^4

6c^3d / 12c^2d = 0.5c

Therefore, the simplified expression is:

2.5c^6d^2 - 0.25bc^4 + 0.5c

The answer is t = (2 - 3Q)/(4+Q).

To make t the subject of the given equation:

(2-4t)/(t+3)

We can start by cross-multiplying both sides by (t+3) to eliminate the denominator on the left-hand side:

(2 - 4t) = (t+3) * Q

where Q is an unknown value that is the result of the cross-multiplication.

Next, we can distribute the right-hand side:

2 - 4t = Qt + 3Q

Then, we can rearrange the equation by moving all the terms with t to one side and the constant terms to the other side:

2 - 3Q = t(4+Q)

Finally, we can divide both sides by the coefficient of t to isolate t:

t = (2 - 3Q)/(4+Q)

Therefore, the equation in terms of t is:

t = (2 - 3Q)/(4+Q)

In mathematics, an equation is a statement that two expressions are equal to each other. It consists of two sides: the left-hand side and the right-hand side, which are connected by an equals sign (=). An equation typically contains one or more variables, which are represented by symbols such as x, y, or z, and the goal is often to solve for these variables in order to find their values that make the equation true.

For example, the equation x + 2 = 5 is an algebraic equation that states that the sum of x and 2 is equal to 5. Solving this equation for x gives us x = 3, which means that the value of x that makes the equation true is 3.

Equations are used to model many real-world problems in mathematics, science, engineering, economics, and other fields, and they are an important tool for understanding and solving complex problems.

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The age of Jane is 22 years.

Janes age is 10 more than three times her son's age. In two years, her age will be 12 less than the square of her son's age. Therefore, let's find Jane's age as follows:

Hence, using equation,

let

son's age = x

Jane age = 3x + 10

In two years,

(x + 2)² - (3x + 10 + 2)  = 12

(x + 2)(x + 2) - 3x - 12 = 12

x² + 2x + 2x + 4 - 3x - 24 = 0

x² + x - 20 = 0

x² - 4x + 5x  - 20 = 0

x(x - 4) + 5(x - 4) = 0

(x + 5)(x - 4) = 0

Therefore,

x = -5 and x = 4

We can only use positive numbers.

Therefore,

Jane's age = 3x + 10

Jane's age = 3(4) + 10

Jane's age = 12 + 10

Jane's age = 22

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1 year has  31,536,000 seconds.

1 year = 365days

1 day = 24 hours

1 hours = 3600 second

1 year =  365*24*3600 =31,536,000

A year is the orbit of a planetary body, such as Earth, moving in  orbit around the Sun. Due to the tilt of the earth's axis, the seasons change at the turn of the year, characterized by changes in weather, daylight hours, and thus vegetation and soil fertility. In the temperate and subpolar regions of the planet, four seasons are generally known: spring, summer, autumn and winter. In tropical and subtropical regions, several geographic sectors do not have defined seasons. but in the seasonal tropics, an annual wet and dry season is identified and observed.

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There are 5280 feet in a mile and 6076.12 feet in a nautical mile.

We know that the definition of a mile says that its the distance travelled in 1,760 yards or 1.609344 km. Now we can use this to convert it into feet. Since we know that a Yard is equal to 3 feet or 0.9144 meters , therefore

By using Unitary method :

⇒ 1 yard = 3 feet

⇒ 1760 yards = 3 x 1760 feet

⇒ 1760 yards  =  5280 feet

Therefore, 1 Mile contains 5,280 feet.

Since, it is not mentioned that which Mile we are talking about So, There is another type of mile in Imperial System called 'Nautical Mile' which is slightly larger than a regular mile. Its equal to 6076.12 feet

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Answer:

use a calculator online

Step-by-step explanation:

Calculating the Molecular Mass

Gather the necessary tools for solving a chemistry problem. Having everything you need easily accessible will simplify the process of solving the assigned problem. You will need the following:

A pencil and paper. Calculations are easier to solve when you write them out. Be sure to show all your steps to get full credit.

A periodic table. You will need to be able to find atomic weight of elements using the periodic table.

A calculator. Calculators are necessary to simplify calculations of complex numbers.

Answer:

34/5

Step-by-step explanation:

The restaurant sold 25 calzones and 21 slices. Our answer as an ordered pair is (25, 21).

To solve this problem, we can use a system of equations. Let x be the number of calzones sold and y be the number of slices sold. We can create two equations based on the information given:

1) x + y = 46 (the total number of calzones and slices sold)

2) 9x + 6y = 351 (the total money collected)

We can use the first equation to solve for one of the variables in terms of the other. For example, we can solve for y in terms of x:

y = 46 - x

Now we can substitute this expression for y into the second equation:

9x + 6(46 - x) = 351

Simplifying and solving for x:

9x + 276 - 6x = 351

3x = 75

x = 25

Now we can substitute this value of x back into the first equation to find y:

25 + y = 46

y = 21

So the restaurant sold 25 calzones and 21 slices. Our answer as an ordered pair is (25, 21).

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The probability that at most three bottles will be sold on a randomly selected day is about is 0.569

The probability of an event is a number that indicates how likely the event is to occur.

Given that, the number x of bottles of garden plant fungicide sold by a garden center each day was recorded, we need to find the probability that at most three bottles will be sold on a randomly selected day is about,

The possible values of x is 0, 1, 2, 3, 4, 5, 6 and 7

The probability that at most three bottles will be sold on the randomly selected day will be =

P(x≤3) = P(X=0) + P(X=1) + P(X=2) + P(X=3)

= 0.135 + 0.141 + 0.150 + 0.143

= 0.569

Hence, the probability that at most three bottles will be sold on a randomly selected day is about is 0.569

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The constant acceleration equations are:

The position equation: x = x0 + v0t + 1/2at^2

The velocity equation: v = v0 + at

The acceleration equation: a = (v - v0)/t

Constant acceleration equations describe the motion of an object that is experiencing a constant acceleration. When an object experiences a constant acceleration, its velocity changes by the same amount in equal time intervals. The equations that describe this motion are as follows:

The position equation: x = x0 + v0t + 1/2at^2

where x is the position of the object at time t, x0 is the initial position of the object, v0 is the initial velocity of the object, a is the constant acceleration of the object, and t is the time elapsed.

The velocity equation: v = v0 + at

where v is the velocity of the object at time t, v0 is the initial velocity of the object, a is the constant acceleration of the object, and t is the time elapsed.

The acceleration equation: a = (v - v0)/t

where a is the constant acceleration of the object, v is the velocity of the object at time t, v0 is the initial velocity of the object, and t is the time elapsed.

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It would take 11.25 hours after leaving his house until the phone's battery level got down to 31.5%.

According  to given conditions :

To determine how many hours after leaving his house it would take until the phone's battery level got down to 31.5%, we need to use the information provided in the table to find the equation of the line that represents the relationship between B and t. We can then use this equation to solve for the value of t when B is 31.5%.

To find the equation of the line, we can use the two points (1.5, 38.25) and (9, 9). The slope of the line is:

slope = (B2 - B1) / (t2 - t1) = (9 - 38.25) / (9 - 1.5) = -29.25 / 7.5 = -3.9

The equation of the line in point-slope form is:

B - 38.25 = -3.9(t - 1.5)

Simplifying, we get:

B = -3.9t + 44.1

Now we can solve for the value of t when B is 31.5%. Setting B to 31.5% (or 0.315) and solving for t, we get:

0.315 = -3.9t + 44.1

-3.9t = -43.785

t = 11.25

Therefore, it would take 11.25 hours after leaving his house until the phone's battery level got down to 31.5%.

What is percentage ?

A percentage is a number or ratio expressed as a fraction of 100. The symbol used to represent percentages is "%". Percentages are used to compare values and express proportions. For example, if a group of 100 people includes 60 men and 40 women, we can say that the percentage of men in the group is 60%, and the percentage of women is 40%.

To calculate a percentage, we divide the value we want to express as a percentage by the total value, and then multiply by 100. For example, if we want to express 25 as a percentage of 100, we divide 25 by 100 to get 0.25, and then multiply by 100 to get 25%. Similarly, if we want to find what percentage of 200 is 50, we divide 50 by 200 to get 0.25, and then multiply by 100 to get 25%.

Percentages are used in many different fields, including finance, science, and statistics, as well as everyday life. For example, we might use percentages to calculate the amount of tax on a purchase, to compare the results of scientific experiments, or to track the progress of a fundraising campaign.

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54 centimetres, rounded to two decimal places, is comparable to around 21.26 inches.

The Imperial and US Customary measuring systems both utilise the inch as their unit of measurement.

It is the unit of length.

Furthermore, length is measured in centimetres,

Used in the International System of Units,

This is the metric system's present configuration.

There are 21.26 inches in 54 cm (centimeters).

To convert centimeters to inches,

You can use the following conversion:

1 inch = 2.54 cm

Therefore,

To convert 54 cm to inches,

You can divide 54 by 2.54:

54 cm / 2.54 = 21.26 inches

So 54 cm is equivalent to approximately 21.26 inches,

Rounded to two decimal places.

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Answer: -15

Step-by-step explanation:

Since in the figure, m || n, the value of x is equal to 13.

In Mathematics, corresponding angles can be defined as a postulate (theorem) which states that corresponding angles are always congruent when the transversal intersects two (2) parallel lines. This ultimately implies that, the corresponding angles will be always equal (congruent) when a transversal intersects two (2) parallel lines.

By applying corresponding angles theorem to lines a and b, we have the following:

∠m ≅ ∠n

7x - 1 = 8x - 14

8x - 7x = 14 - 1

x = 13

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The constant function, reciprocal function, exponential function, natural log function, and cos function have the property of f(0) ≠ 0.

There are 12 basic functions

Now here we are asked those 5 basic functions where f(0) ≠ 0

Here if we see serial wise

the constant function will always be a constant irrespective of the value of x. Now f(0) here, will not be provided the constant is not 0.

Then we have the reciprocal function where f(0) = 1/0 which is undefined.

The next function is the exponential function

here f(0) will be e⁰ = 1

Then there is the natural log function where ln0 is undefined.

Last we have the cos function where f(0) = cos0 = 1

Hence, the constant function, reciprocal function, exponential function, natural log function, and cos function have the property of f(0) ≠ 0.

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Answer: 62

Step-by-step explanation:

The result of multiplying the numbers 31 by 2 is 62.

When you multiply two numbers, you are essentially adding the first number to itself a certain number of times, determined by the second number.

In this case, when you multiply 31 by 2, you are adding 31 to itself two times:

31 + 31 = 62

Therefore, the result of multiplying 31 by 2 is 62.

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The inequality describing Chau's goal to earn more than $1500 total this month is, $9b + $8u > $1500

This inequality represents Chau's goal to earn more than $1500 in total this month by working as a busboy and a theater usher.

The first term, $9b, represents the earnings from Chau's hours worked as a busboy, where $9 is his hourly rate as a busboy, and b is the number of hours worked as a busboy.

The second term, $8u, represents the earnings from Chau's hours worked as a theater usher, where $8 is his hourly rate as an usher, and u is the number of hours worked as an usher.

Total earnings = (hourly rate as busboy x number of hours as busboy) + (hourly rate as usher x number of hours as usher)

So, we can write the inequality for Chau's goal as follows:

$9b + $8u > $1500

where b is the number of hours worked as a busboy and u is the number of hours worked as an usher.

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A man claims to be capable of extrasensory perception. A fair coin is flipped 25 times as just a test, and the man is asked to predict the outcome ahead of time. He gets 17 of the 25 questions right.

What is the likelihood that he could have performed at least as well if he didn't have ESP?

Let X = the number of correct responses he receives without using ESP (25, 0.5)

p(X = 17) = 1 - p(X = 16)

With n = 25 and p = 0.5, p(X = 16) = 0.9461.

As a result, p(X = 17) = 1 - 0.9461 = 0.0539.

If you don't have Binomial tables, a normal approximation to the Binomial can be used.

X is roughly equal to N(np, npq) = N. (12.5, 6.25)

p(X = 17) = 1 - p(X < 16.5) with a continuity correction = 1 - p(Z (16.5 - 12.5) / v6.25) = 1 - F(1.6) = 1 - 0.9452 = 0.0548

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A glass case is in the shape of a rectangular prism where the volume of the case is 4/125 cubic foot. The number of cubic blocks with a side length of 1/5 foot required to find the volume of glass case is option C: 4.

What is the rectangular prism?

A rectangular prism, also known as a rectangular parallelepiped, is a three-dimensional solid shape that has six faces, where each face is a rectangle.

The volume of the glass case is 4/125 cubic foot. We can write this as:

V = l × w × h = 4/125

where l, w, and h are the length, width, and height of the rectangular prism, respectively.

To find how many cubic blocks with a side length of 1/5 foot would be required to find the volume of the glass case, we need to find the number of cubic blocks that can fit in the rectangular prism. Since the side length of each block is 1/5 foot, the volume of each block is (1/5)^3 = 1/125 cubic foot.

Therefore, the number of cubic blocks required is:

number of blocks = V / volume of one block

number of blocks = (4/125) / (1/125)

number of blocks = 4

So, we would need 4 cubic blocks with a side length of 1/5 foot to find the volume of the glass case.

Hence, the answer is 4.

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Answer:

y=12x+165

Step-by-step explanation:

Answer:

Step-by-step explanation:

0.14285714285714286

The total value of Thuli's investment after 3 years is R6200

From the question, we have the following parameters that can be used in our computation:

principal, P = 5000

Rate = 8%

Time = 3 years

Using the above as a guide, we have the following:

Amount = P * (1 + RT)

Substitute the known values in the above equation, so, we have the following representation

Amount = 5000 * (1 + 8% * 3)

Evaluate

Amount = 6200

Hence, the amount is R6200

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Answer:

D

Step-by-step explanation:

step by step... solved

Answer:

Length = 16 feet, width = 12 feet

Step-by-step explanation:

Scale is 2 cm = 4 feet

Therefore 1 cm = 4/2 = 2 feet

8 cm length = 8 x 2 = 16 feet

6 cm width = 6 x 2 = 12 feet

So the room size is Length = 16 feet, width = 12 feet

Answer: In the scale drawing, each 2 cm represents 4 feet. So, 1 cm represents 2 feet (since 2 cm is twice 1 cm). Therefore, the length of the room in feet is:

8 cm x (2 feet/1 cm) = 16 feet

Similarly, the width of the room in feet is:

6 cm x (2 feet/1 cm) = 12 feet

So, the actual dimensions of the room are length = 16 feet and width = 12 feet.

Answer: Length = 16 feet, width = 12 feet

Step-by-step explanation:

The required sum of digits is 16 which is not divisible by 3, so 26,341 is not divisible by 3.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,
To determine if 26,341 is divisible by 3, we can add up the digits of the number and see if the result is divisible by 3.

2 + 6 + 3 + 4 + 1 = 16

16 is not divisible by 3, so 26,341 is not divisible by 3.

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Answer:

Step-by-step explanation:

Use the Pythagorean theorem a^2 +b^2 =c^2

So 15^2 + 5^2 = c^2

sqrt c = sqrt 250

Answer: True, False, False

Step-by-step explanation:

Answer:

8. true

9. false

10. false

-x - 10y +3 after grouping related terms and adding their respective coefficients.

A polynomial, a set, or the quadratic coefficient of a specific term in an equation are almost all examples of coefficients in algebra. Usually numeric, but any phrase is acceptable. If the correlates are variables, them can also be referred to as "specifications" by themselves. A coefficient is calculated multiplied by a component. Examples of ratios include: In the expression 14c 14c 14c, the coefficient is 14. Word g has to have a coefficient of 1, which doubles the element by this figure. example A coefficient is 6 becuase "z" is a variable and the definition of the word is 6z. The square that x's coefficient is one.

given

-x+5-7y-3y-5+3

We add the coefficients of like phrases after combing them.

-x - 7y -3y +3

= -x - 10y +3

-x - 10y +3 after grouping related terms and adding their respective coefficients.

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Option A. In observational studies, the variable of interest can be either numerical or categorical, so it does not have to be numerical.

Observational studies are a type of study in which researchers observe and record data on variables of interest without manipulating them directly. These studies are often used in fields such as epidemiology, social sciences, and psychology to investigate relationships between variables and identify potential risk factors for diseases or other outcomes.

The variable of interest in an observational study can be either numerical or categorical. Numerical variables are those that can be measured and expressed as a numerical value, such as age, height, weight, or blood pressure. Categorical variables are those that are qualitative or nominal in nature, such as gender, race, or smoking status.

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In observational studies, the variable of interest ____

A. cannot be numerical.

B. must be numerical.

C. is controlled.

D is not controlled.

The correct answer is (c) Understate change in the cost of living because consumers substitute toward goods whose relative prices are declining.

consumers do substitute toward goods whose relative prices are declining. This means that they are able to maintain their standard of living even if the overall cost of living increases. Therefore, the CPI tends to understate changes in the cost of living because it does not fully account for consumer substitution.  

The other options are not correct because:

a. The CPI does take into account quality changes by adjusting prices for changes in quality.

b. The CPI adjusts for changes in relative prices, so it does not overstate changes in the cost of living due to substitution effects.

d. The CPI includes services, but it may understate changes in the cost of living if the prices of services are increasing faster than the prices of goods.

e. The CPI includes a wide range of items, including volatile items such as fruit, vegetables, and petrol. However, the weights assigned to these items may change over time to reflect changes in consumer spending patterns.

The correct answer is (c) Understate change in the cost of living because consumers substitute toward goods whose relative prices are declining.

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