What is the value of
3(1.5 - x) when x = 0.5?

The geometric mean of the sequence -15, ___, ___, ___, -240 is 30.

To find the geometric mean of a sequence, we need to find the nth root of the product of all the terms in the sequence, where n is the number of terms in the sequence. In this case, the sequence has five terms.

Let's label the missing terms as x, y, and z. The sequence becomes -15, x, y, z, -240.

The geometric mean formula is given by:

Geometric mean = (product of terms)^(1/n)

To find the missing terms, we can set up the equation as follows:

(-15) * x * y * z * (-240) = 30^5

Simplifying the equation, we have:

3600xyz = 30^5

Dividing both sides by 3600, we get:

xyz = (30^5) / 3600

Taking the fifth root of both sides, we have:

(xyz)^(1/5) = (30^5 / 3600)^(1/5)

Simplifying further, we get:

(xyz)^(1/5) = 30 / 6

Therefore, the geometric mean of the sequence -15, ___, ___, ___, -240 is 30.

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There are 2,373 sets of five marbles that include at least two yellow ones.

We can use the complement rule to find the number of sets of five marbles that include at least two yellow ones. The complement of this event is the event that a set of five marbles includes zero or one yellow one.

The number of sets of five marbles that include zero or one yellow one can be found by adding the number of sets that include zero yellow ones to the number of sets that include exactly one yellow one.

The number of sets of five marbles that include zero yellow ones is the number of ways to choose five marbles from the remaining ten marbles, which is 10 choose 5 or C(10,5) = 252.

The number of sets of five marbles that include exactly one yellow one is the product of the number of ways to choose one yellow marble (which is 3) and the number of ways to choose four marbles from the remaining nine marbles, which is 9 choose 4 or C(9,4) = 126.

Therefore, the number of sets of five marbles that include at least two yellow ones is the total number of sets of five marbles (which is 15 choose 5 or C(15,5) = 3003) minus the number of sets of five marbles that include zero or one yellow one:

C(15,5) - C(10,5) - C(3,1) * C(9,4)

= 3003 - 252 - 3 * 126

= 3003 - 630

= 2373

Therefore, there are 2,373 sets of five marbles that include at least two yellow ones.

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Using greater than sign or number line, we can show the numbers from greatest to least as 35/4 > √72 > 25/3 > 8.4

To arrange numbers from greatest to least, you would first find the largest number and place it at the beginning of the list. Then, you would compare the remaining numbers and place the next largest number after the first. You would continue this process until all of the numbers are arranged in order from largest to smallest.

In this problem, we can arrange the number from greatest to least and assigning the greater than sign to show the decrease in number. We dan also use the concept of number line to show how the numbers are placed.

From the data given,

35/4 > √72 > 25/3 > 8.4

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Answer:

Step-by-step explanation:

True.

An enumerator is a special data type in some programming languages that allows us to give names to integer values, making the code more readable and easier to maintain.

However, an enumerator cannot be directly assigned to an int variable because they are not compatible data types. An int variable can only store integer values, while an enumerator is a named constant that represents an integer value.

To assign an enumerator to an int variable, we need to explicitly cast the enumerator to an int using type conversion.

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Answer:yes

Step-by-step explanation:

Answer:

1 pint=32    1 quart=64    1 gallon=256

Step-by-step explanation:

Answer:

j = 8m + 48 is correct

Step-by-step explanation:

You see that the y-intercept where x is equal to is 48, and after one month it increases by 8, so we have j = 8m + 48. You were correct

The Linear model that best fits the data is y = 0.1880x + 3.2083.

To determine which linear model best fits the data, we can substitute the given time and height values into each equation and see which equation provides the closest approximation to the data points.

the predicted height values using each equation:

1. Equation: y = 0.1880x + 3.2083

  Predicted heights:

  y(0) = 0.1880(0) + 3.2083 = 3.2083

  y(4) = 0.1880(4) + 3.2083 = 3.9403

  y(8) = 0.1880(8) + 3.2083 = 4.6723

  y(12) = 0.1880(12) + 3.2083 = 5.4043

  y(15) = 0.1880(15) + 3.2083 = 5.9803

  y(20) = 0.1880(20) + 3.2083 = 7.1363

  y(24) = 0.1880(24) + 3.2083 = 7.8683

  y(26) = 0.1880(26) + 3.2083 = 8.2563

  y(30) = 0.1880(30) + 3.2083 = 8.9883

2. Equation: y = -5.2834x + 16.8428

  Predicted heights:

  y(0) = -5.2834(0) + 16.8428 = 16.8428

  y(4) = -5.2834(4) + 16.8428 = -3.6176

  y(8) = -5.2834(8) + 16.8428 = -20.0212

  y(12) = -5.2834(12) + 16.8428 = -36.4248

  y(15) = -5.2834(15) + 16.8428 = -47.2872

  y(20) = -5.2834(20) + 16.8428 = -71.1128

  y(24) = -5.2834(24) + 16.8428 = -87.5164

  y(26) = -5.2834(26) + 16.8428 = -95.8224

  y(30) = -5.2834(30) + 16.8428 = -110.6474

3. Equation: y = 5.2834x - 16.8428

  Predicted heights:

  y(0) = 5.2834(0) - 16.8428 = -16.8428

  y(4) = 5.2834(4) - 16.8428 = 4.0588

  y(8) = 5.2834(8) - 16.8428 = 24.9608

  y(12) = 5.2834(12) - 16.8428 = 45.8628

  y(15) = 5.2834(15) - 16.8428 = 59.3552

  y(20) = 5.2834(20) - 16.8428 = 83.1808

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Could you rephrase the question a bit? We can't tell what the numbers are... :)

Answer: The median is the best measure of center for distributions that are skewed or have extreme values, since it is less affected by outliers than the mean. Therefore, the correct answers are:

- A bar graph that forms a gradual incline and a sharp decline of values.

- A bar graph that forms a sharp incline and a gradual decline of values.

Both of these graphs suggest that the data is skewed, and in these cases, the median is a better representation of the "typical" value than the mean.

The other two options do not provide enough information to determine whether the data is skewed or not, so we cannot say for certain whether the median is the best measure of center in those cases. The bar graph with values that hover around 10 y could have a symmetrical distribution with a mean and median that are the same, or it could have a skewed distribution where the median is a better measure of center. Similarly, the pyramid-shaped bar graph could have a symmetrical distribution, or it could be skewed in a way that the median is not a good measure of center.

Step-by-step explanation:

Answer:

a = 16

b = 10

c = 19

d = 3

Step-by-step explanation:

For a, we know that 60 is 12+a+a+a, and to find what a is, we subtract 12 from 60, so that 48=3a, so 48 is a times 3. dividing 48 by 3 gives a=16

For b, we know that 60 is 4(b+5), dividing both sides by 4, 15=b+5. Subtracting 5 from both sides, b=10

For c, we know that a+b+c=3(b+5), or 16+10+c=45, subtracting 26 from each side, c=19

For d, we know that 3c+d=60, or (19*3)+d=60. simplifying, 57+d=60. subtraction 57 from each side gives d=3

Answer:

Michael Jordan Emsley A. Laney. 5'11"

Stephen Curry Charlotte Christian. 5'6"

3.As much as he learns in his freshmen art seminar about the color blue, Yale student Benson May says, “there is still much more to discover about it.”

4.About one-half of school districts nationwide do not require or recommend that schools provide students with at least 20 minutes to eat lunch once they receive their meal.12

Step-by-step explanation:

hope it helps

Answer:

Step-by-step explanation:

Yes. because In mathematics, the irrational numbers are all the real numbers which are not rational numbers. That is, irrational numbers cannot be expressed as the ratio of two integers

Answer:

yes

Step-by-step explanation:

Irrational numbers are numbers that simply are not rational, and cannot be written as a fraction, though they cna be written as a decimal. Irrational numbers msot of the time have a lnog row of non-repeating numbers after the decimal. So, yes.

2.346982105 is an irracional number

Answer:

u + c = 6

Step-by-step explanation:

u² - c² ← is a difference of squares and factors as

u² - c² = (u - c)(u + c) = 36 , thus

6(u + c) = 36 ( divide both sides by 6 )

u + c = 6

Answer:

6

Step-by-step explanation:

Corresponding sides of similar triangles have proportional side lengths.

\(\frac{x}{4.5}=\frac{4}{3} \\ \\ x=\frac{4.5(4)}{3} \\ \\ x=6\)

$146.52

You times the 407 by 6%, then you multiply the product by 6, which would leave you with the added amount.

Answer:

(b) The distribution of the last digits of ID numbers in a sample of 100 college students

Step-by-step explanation:

Uniform Distribution Explanation

In statistics, uniform distribution refers to a type of probability distribution in which all outcomes are equally likely.

The only possibility here is the distribution of the last digits since the last digit can be 0 thru 9 and each is equally likely to appear in a random sample of 100 students

The others can be eliminated

Heights can vary depending on gender, ethnic background etc. In fact heights will follow a normal distribution

Scores can vary, most students will be scoring around the mean follows a  normal distribution

GPAs like scores can vary, most students will have GPAs close to the mean GPA so follows a normal distribution

Answer: D, 36in.

Step-by-step explanation:

Answer:

y=2

Step-by-step explanation:

Answer:

110

Step-by-step explanation:

Use the pythagorean theorem (a^2 + b^2 = c^2) to solve it. 66 is a and 88 is b. The distance between them is c.

Answer:

3x-y=0

Step-by-step explanation:

The rate of change of h(x) with respect to x when x=2 is -3. To find d/dx, we need to take the derivative of the function h(x) and evaluate it at x=2.

h(2) tells us that when x=2, h(x)=4.

h'(2) tells us that the slope of the tangent line to the graph of h(x) at x=2 is -3.

So, we can use this information to find d/dx as follows:

h(x) = y

dy/dx = h'(x)

We know that when x=2, y=h(2)=4.

We also know that the slope of the tangent line to the graph of h(x) at x=2 is h'(2)=-3.

So, we can write the equation of the tangent line at x=2 as:

y - 4 = (-3)(x - 2)

y = -3x + 10

Now we can take the derivative of y with respect to x to find d/dx:

d/dx (y) = d/dx (-3x + 10)

d/dx (y) = -3

Therefore, d/dx = -3.

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Answer:

1/3 or 3/9

Step-by-step explanation:

The dart board can be split into 9 1x1 squares. 3 of those squares are in the 10 point zone. So, there is a 3 out of 9 (or 1 out of 3) chance to get 10 points.

Given:

The graph of a proportional relationship contains the point (8,4).

To find:

The corresponding equation.

Solution:

If y in directly proportional to x, then

\(y\propto x\)

\(y=kx\)        ...(i)

Where, k is the constant of proportionality.

The graph of a proportional relationship contains the point (8,4).

Putting x=8 and y=4 in (i), we get

\(4=k(8)\)

\(\dfrac{4}{8}=k\)

\(\dfrac{1}{2}=k\)

Putting \(k=\dfrac{1}{2}\) in (i), we get

\(y=\dfrac{1}{2}x\)

Therefore, the required equation is \(y=\dfrac{1}{2}x\).

To solve the quadratic equation 3x² + x - 5 = 0, we can use the quadratic formula:

A quadratic equation is a type of equation in algebra that involves a single variable (usually x) raised to the second power, or a multiple of x². The general form of a quadratic equation is:

ax² + bx + c = 0

where a, b, and c are constants (numbers), and x is the variable.

The quadratic equation is important in mathematics and science because it appears in many real-world applications, such as physics, engineering, and economics. It is also used to model many types of natural phenomena, such as the trajectory of a ball thrown into the air, the shape of a parabolic dish, or the behavior of a vibrating string.

Solving quadratic equations involves finding the values of x that make the equation true. This can be done using a variety of methods, including factoring, completing the square, and using the quadratic formula. The solutions to a quadratic equation can be real (meaning they are numbers that can be plotted on a number line) or imaginary (meaning they involve the square root of a negative number).

x = (-b ± √(b² - 4ac)) / 2a

where a, b, and c are the coefficients of the quadratic equation.

In this case, a = 3, b = 1, and c = -5, so we can substitute these values into the formula and simplify:

x = (-1 ± √(1² - 4(3)(-5))) / 2(3)

x = (-1 ± √(61)) / 6

Therefore, the solutions to the quadratic equation are:

x = (-1 + √(61)) / 6 or x = (-1 - √(61)) / 6

These are the exact solutions, but if we want to approximate them to a certain number of decimal places, we can use a calculator. For example, to approximate the solutions to two decimal places, we get:

x ≈ 0.81 or x ≈ -1.48

Therefore, the solutions to the quadratic equation 3x² + x - 5 = 0 are approximately x = 0.81 and x = -1.48.

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Answer: 15g + 9

Step-by-step explanation: Have a brilliant day!- Lily ^_^ Plz mark brainliest.

The negation of the given statement is ¬(r ∨ w) which is ¬r ∧ ¬w.

Given statement: Mei will run or walk to the gym tomorrow. Propositional logic:

Step 1: r: Mei will run to the gym tomorrow. w: Mei will walk to the gym tomorrow.

Step 2: The given statement can be rewritten in the form: r ∨ w.

Step 3: The negation of the given statement is ¬(r ∨ w). Using De Morgan's Laws, we can write the negation as ¬r ∧ ¬w.

Main Part: ¬(r ∨ w)

Explanation: We know that the negation of a disjunction is the conjunction of the negations of the disjuncts. So, the negation of the given statement r ∨ w is ¬r ∧ ¬w. The negation of the given statement "Mei will run or walk to the gym tomorrow" is "Mei will not run and will not walk to the gym tomorrow."

Conclusion: Therefore, the negation of the given statement is ¬(r ∨ w) which is ¬r ∧ ¬w.

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