Using the following uniform density curve, answer the question.



What is the probability that the random variable has a value between 4.1 and 7.4?

0.5375

0.4125

0.2875

0.6625

Answer:

This graph does not represent a function.

Step-by-step explanation:

The vertical line test describes how, in order to be a function, there must be only one output for every input. Remember, the input of a function is the "x" value and the output is the "y" value.

Because of the circular nature, this graph does not represent a function. As you can see, there are "x" values which could correspond with mutliple "y" values. For example, when x = 2, there are two "y" values:  y = -1 and y = -5.

Answer:

33

Step-by-step explanation:

3 plus 5 = 8

8 plus 9 = 17

17 plus 7 = 24

24 plus 9 = 33

this is just a multistep problem,

Hope this helps!

Answer:

t = 6/5

Step-by-step explanation:

Step 1: Define

k(t) = 10t - 19

k(t) = -7

Step 2: Substitute and Evaluate

-7 = 10t - 19

12 = 10t

t = 6/5

Answer:

pa answer din po please!!

The media's role in deciding the participants and timing of political debates is known as gatekeeping.

The media acts as gatekeepers when they have the authority to determine which candidates or parties are allowed to participate in political debates and when these debates take place. This role involves making decisions regarding the inclusion or exclusion of candidates based on various factors such as popularity, polling numbers, party affiliation, and public interest. Additionally, the media has the power to influence the timing and format of the debates, which can impact the visibility and reach of the participants.

The gatekeeping role of the media in political debates carries significant importance as it shapes public access to information and influences public opinion. By selecting certain candidates or parties for participation, the media can impact the exposure and visibility of political actors, potentially influencing their chances of success in elections. Furthermore, the media's decisions regarding the timing and format of debates can determine the extent of public engagement and scrutiny.

However, the media's gatekeeping role also raises concerns about bias, fairness, and the potential exclusion of alternative or marginalized voices. The media's decisions in selecting debate participants and setting the debate schedule can impact the democratic process by influencing the public's access to diverse perspectives and the ability of candidates to present their platforms.

Overall, the media's gatekeeping role in political debates plays a crucial role in shaping public discourse and influencing electoral outcomes, emphasizing the need for responsible and impartial decision-making to ensure a fair and inclusive democratic process.

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The probability of the arrow landing on an odd number is the number of odd numbers divided by the total number of possible outcomes. Therefore, the probability of the arrow landing on an odd number is  0.5 or 50%.


To find the probability that the arrow will point at an odd number on a circular board with 8 equal parts, we'll first determine the total number of odd numbers present and then divide that by the total number of possible outcomes.

Step 1: Identify the odd numbers on the board. They are 1, 3, 5, and 7. The game consists of spinning the arrow on a circular board with 8 equal parts, which means there are 8 possible outcomes or numbers. Since we want to know the probability of landing on an odd number, we need to count how many odd numbers are on the board. In this case, there are four odd numbers: 1, 3, 5, and 7.

Step 2: Count the total number of odd numbers. There are 4 odd numbers.

Step 3: Count the total number of possible outcomes. Since the board is divided into 8 equal parts, there are 8 possible outcomes.

Step 4: Calculate the probability. The probability of the arrow pointing at an odd number is the number of odd numbers divided by the total number of possible outcomes.

Probability = (Number of odd numbers) / (Total number of possible outcomes)
Probability of landing on an odd number = Number of odd numbers / Total number of possible outcomes
Probability of landing on an odd number = 4 / 8

Step 5: Simplify the fraction. The probability of the arrow pointing at an odd number is 1/2 or 50%.

So, the probability that the arrow will point at an odd number is 1/2 or 50%.

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The value of the upper quartile is 65.

The lower quartile, which is represented by the left border of the box, is the value that the first 25% of the data falls within. 25% of the data are to the right of the upper quartile value, which is indicated by the upper quartile at the right border of the box.

The left whisker represents the bottom 25% of the data, the left half of the box represents the second 25%, the right half of the box represents the third 25%, and the right whisker represents the top 25%.

The value of the upper quartile is 65.          

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In binary representation, each bit can be either 0 or 1. Using five binary bits, we can obtain 32 different numbers. Therefore, the correct answer is (B).

With five binary bits, we have five positions, and each position can have two possibilities (0 or 1). To calculate the total number of different numbers we can obtain, we need to raise 2 to the power of the number of bits. In this case, we have \(2^5,\) which equals 32. Therefore, we can obtain 32 different numbers using five binary bits. To understand this concept, we can think of each binary bit as a switch that can be either on (1) or off (0). With five switches, we have a total of 32 different combinations or numbers that can be represented. These numbers range from 0 (all switches off) to 31 (all switches on). Therefore, the correct answer is (B), which states that we can obtain 32 different numbers using five binary bits.

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Answer:

A B E F

Step-by-step explanation:

-2 * -5 = 10

10 * 3 = 30

30 * -7 = -210

The domain at which the function f(x) = x² - 4•x + 2, and the inverse of the function, f(x), is given by the option;

The given function is f(x) = x² - 4•x + 2.

The points through which the parabola passes are;

The inverse of the function is found as follows;

f(x) = x² - 4•x + 2

The standard form of a quadratic equation is f(x) = a•(x - h)² + k

Where;

(h, k) = The coordinates of the vertex

a = The coefficient of x²

Comparing, we have;

(h, k) = (2, -2)

a = 1

Which gives;

f(x) = x² - 4•x + 2 = (x - 2)² - 2

f(x) = (x - 2)² - 2

Let f(x) = y

y = (x - 2)² - 2

y + 2 = (x - 2)²

x - 2 = √(y + 2)

x = √(y + 2) + 2 = 2 + √(y + 2)

x = 2 + √(y + 2)

Therefore, f(x) has an inverse when y > -2, which gives;

The domain where f(x) has an inverse is x > 2, given that the expression, 2 + √(y + 2), is always positive.

The inverse of the function is obtained by changing x to \( f^{-1}(x) \) and y to x in the equation, x = 2 + √(y + 2), to give;

The correct option is therefore;

x > 2, f superscript negative 1 Baseline (x) = 2 + StartRoot x + 2 EndRoot

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Answer:

Its D.x > 2; f Superscript negative 1 Baseline (x) = 2 + StartRoot x + 2 EndRoot

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

i did it i got it right

Answer:At 7 am

Step-by-step explanation:

Bell a will ring at : 6:10 6:20 6:30 6:40 6:50 7:00

Bell b will ring at : 6:15 6:30 6:45 7:00

Bell c will ring at : 6:20 6:40 7:00

So bell will ring together gagain at 7am

Answer:

7a.m.

Step-by-step explanation:

10 - 10, 20, 30, 40, 50, 60

15 - 15, 30, 45, 60

20 - 20, 40, 60

All three bells will ring together after 60 minutes which means at 7 a.m.

Answer:

\(5 > x \leq 9\)

Step-by-step explanation:

It would be \(5 > x \leq 9\). The reason why, is because according to graph, there is a open circle (open circle signifies as \(<\) or \(>\), depending on what sign) on \(5\), pointing to the right side of the number line and there is a closed circle (closed circle signifies as \(\leq\) or \(\geq\), depending on what sign) on \(9\) pointing to the left side of the number line.

The answers are =

a. Gradient: 1

Y-intercept: (0, 3)

b. Gradient: -3

Y-intercept: (0, 4)

c. Gradient: -5

Y-intercept: (0, -2)

d. Gradient: 4

Y-intercept: (0, -3)

To find the gradient and the y-intercept for each line, let's examine each equation:

1) Formula: y = x + 3

Gradient: Since x has a coefficient of 1, the gradient is also 1.

Y-intercept: Since the constant term is 3, the line's y-intercept is at (0, 3).

2) Formula: y = -3x + 4

Gradient: The gradient is -3 because the coefficient of x is -3.

Y-intercept: The line crosses the y-axis at (0, 4) since the constant term is 4.

3) Formula: y = -5x - 2

Gradient: The gradient is -5 because the coefficient of x is -5.

Y-intercept: The line crosses the y-axis at (0, -2) since the constant term is -2.

5) Formula: y = 4x - 3

Gradient: The gradient is 4 because the coefficient of x is 4.

Y-intercept: Since the constant term is -3, the line's y-intercept is at (0, -3).

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Answer:

\(y=6x-5\)

Step-by-step explanation:

Hi there!

Slope-intercept form: \(y=mx+b\) where m is the slope and b is the y-intercept

We're given that the slope is 6. Plug this into \(y=mx+b\) as m:

\(y=6x+b\)

Now, to solve for the y-intercept, plug in the point (1,1) and solve for b:

\(1=6(1)+b\\1=6+b\\b=-5\)

Therefore, the y-intercept of the line is -5. Plug this back into \(y=6x+b\):

\(y=6x+(-5)\\y=6x-5\)

I hope this helps!

Answer:

hui

Step-by-step explanation:

At a significance level of 0.01, we can confidently state that the student's claim is true.

The hypothesis in this question can be stated as follows:

Null Hypothesis: H0: μ1 = μ2 (There is no difference between the mean of four-year college enrollment and two-year college enrollment.)

Alternative Hypothesis: H1: μ1 > μ2 (Mean enrollment of four-year colleges is greater than the mean enrollment of two-year colleges in the United States.)

The significance level (α) is given as 0.01, which represents the probability of rejecting the null hypothesis when it is actually true.

To calculate the test statistic, we can use the formula:

z = ((X1 - X2) - (μ1 - μ2)) / √((σ1² / n1) + (σ2²  / n2))

Substituting the given values:

z = ((6193 - 4305) - (0)) / √((598²  / 35) + (572²  / 35))

z = 10.33

Since this is a right-tailed test, we need to compare the test statistic with the critical value. At a significance level of 0.01, the critical value is 2.33.

The calculated test statistic (10.33) is greater than the critical value (2.33). Therefore, we reject the null hypothesis and conclude that there is enough evidence to support the claim that the mean enrollment at four-year colleges is higher than at two-year colleges in the United States.

In conclusion, at a significance level of 0.01, we can confidently state that the student's claim is true. The mean enrollment at four-year colleges is higher than at two-year colleges in the United States.

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Options A , C , E ,  F , H are true for the statement population that is finding the probability.

Given that,

We have to choose the correct answer for the given statement that is finding the probability.

We know that,

Calculating a situation's probability allows us to determine its probability. Many things are difficult to determine with 100% accuracy. We can only anticipate the probability of an event occurring, or how likely it is, using it. A probability can be range 0 and 1, where 0 indicates an impossibility and 1 indicates a certainty. The probability of each event in a sample space is one.

Therefore, Options A , C , E ,  F , H are true for the statement population that is finding the probability.

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The simplest form of the expression is -10 + 8v + 32w

Given the expression

-10(-v+6w)-w-9(-3w-v)

First, we need to expand the given equation using the distributive law:

-10(-v+6w)-w-9(-3w-v)

= -10-v+6w-w-9(-3w)+9(v)

=  -10-v+6w-w+27w+9v

Collect the like terms:

= -10 - v +9v + 6w - w+ 27w

= -10 + 8v + 32w

Hence the simplest form of the expression is -10 + 8v + 32w

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Answer:

third option

Step-by-step explanation:

(4x + 3)² = 18 ( take square root of both sides )

4x + 3 = ± \(\sqrt{18}\) = ± \(\sqrt{9(2)}\) = ± (\(\sqrt{9}\) × \(\sqrt{2}\) ) = ± 3\(\sqrt{2}\) ( subtract 3 from both sides )

4x = - 3 ± 3\(\sqrt{2}\) ( divide both sides by 4 )

x = \(\frac{-3+3\sqrt{2} }{4}\) , x = \(\frac{-3-3\sqrt{2} }{4}\)

By using a maclaurin series to obtain the maclaurin series for the given function is  F(x) = x cos(5x) = \(1 - 25x^2/2! + 625x^4/4! - 15625x^6/6! + ...\)

To obtain the Maclaurin series for the function f(x) = x cos(5x), we need to write the Maclaurin series for cos(5x). The Maclaurin series for cos(x) is: \(cos(x) = 1 - x^2/2! + x^4/4! - x^6/6! + ...\)

Using this formula, we can substitute 5x for x and obtain the Maclaurin series for cos(5x): cos(5x) =\(1 - (5x)^2/2! + (5x)^4/4! - (5x)^6/6! + ...\)

\(= 1 - 25x^2/2! + 625x^4/4! - 15625x^6/6! + ...\)

We can substitute this series into the original function f(x) = x cos(5x) and obtain its Maclaurin series: f(x) = x cos(5x)

\(= x[1 - 25x^2/2! + 625x^4/4! - 15625x^6/6! + ...]\)

\(= x - 25x^3/2! + 625x^5/4! - 15625x^7/6! + ...\)

This is the Maclaurin series for the function f(x) = x cos(5x). It is obtained by substituting the Maclaurin series for cos(5x) into the original function and simplifying the resulting series. Maclaurin series are useful for approximating functions using polynomials. By truncating the series after a certain number of terms, we can obtain a polynomial that approximates the original function to a certain degree of accuracy. The accuracy of the approximation depends on the number of terms in the series that are used. The more terms we include, the more accurate the approximation will be.

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The radius of the circle is √17.

The center of the circle is (4, 2).

A circle is a two-dimensional figure with a radius and circumference of 2πr.

The area of a circle is πr².

We have,

The equation of a circle with radius r and center (h, k) is

(x - h)² + (y - k)² = r²

Now,

x² + y² - 4 y - 8x + 3 = 0

x² - 8x + y² - 4y + 3 = 0

x² - 8x + 4² - 4² + y² - 4y + 2² - 2² + 3 = 0

(x - 4)² + (y - 2)² - 16 - 4 + 3 = 0

(x - 4)² + (y - 2)² = 16 + 4 - 3

(x - 4)² + (y - 2)² = √17

This means,

radius = √17 and center = (4, 2)

Thus,

The radius and center of the circle are √17 and (4, 2).

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Step-by-step explanation:

5x + 2y = 10

2x + y = 2, 4x + 2y = 4.

Therefore (5x + 2y) - (4x + 2y) = 10 - 4, x = 6.

=> 2(6) + y = 2, y = -10.

The solutions are x = 6 and y = -10.

Answer:

a. 13; Equation = 2N - 7 = 19

b. 2; 8 - 3N = 2

Step-by-step explanation:

a. 2N - 7 = 19

  - 2N - 7 + 7 = 19 + 7

  - 2N = 26 = 13

     2       2

b. 8 - 3N = 2

 8 - 8 - 3N = 2 - 8

 - 3N = -6 = 2

    -3      -3

If using the method of completing the square to solve the quadratic equation, a number that would have to be added to "complete the square" is 1.

In Mathematics and Geometry, the standard form of a quadratic equation is represented by the following equation;

ax² + bx + c = 0

Next, we would solve the given quadratic equation by using the completing the square method;

x² - 2x - 36 = 0

x² - 2x = 36

In order to complete the square, we would have to add (half the coefficient of the x-term)² to both sides of the quadratic equation as follows:

x² - 2x + (-2/2)² = 36 + (-2/2)²

x² - 2x + 1 = 36 + 1

x² - 2x + 1 = 37

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When the number is between 1-4, the number still remains.

When the number is between 5-9, increase or add one.

Answer:

Step-by-step explanation:

1.32

Answer:

Step-by-step explanation:

5 - 2(x - 3) and (m+5)(m+5)​

\(5 - 2(x-3)\\5 - 2x + 6\\-2x + 11\)

\((m+5)(m+5)\\m^2+5m+5m+25\\m^2+10m+25\)

Hope this helps!