Question 2
The train from Union Station to New York City
leaves at 8:50 a.m. You know it will take you
10 minutes to walk from the metro to the
platform, and it will take 20-30 minutes from
your house to get to Union Station by Metro.
If you also want to leave 15 extra minutes in
case of problems, what time should you leave
your house? Include evidence.

Will mark Brainliest

There is a probability of 0.64 that Hugo buys more than 2 packs to get the card of his favorite player.

Therefore P( X > 2) is 0.64.

The random variable X in this situation represents the number of packs of baseball cards that Hugo buys before he gets the card of his favorite player. Since Hugo can buy at most 4 packs and the probability of getting the desired card in each pack is 0.2, we can use this information to create the probability distribution for X.

Here is the probability distribution for X using binomial distribution:

X > 4: The probability that Hugo does not get the card in any pack is

= (1 - 0.2)⁴

= 0.4096

X = 1: The probability that Hugo gets the card in the first pack is

= 0.2

X = 2: The probability that Hugo gets the card in the second pack is

= (1 - 0.2)(0.2)

= 0.16

X = 3: The probability that Hugo gets the card in the third pack is

= (1-0.2)²(0.2)

= 0.128

X = 4: The probability that Hugo gets the card in the fourth pack is

= (1-0.2)³(0.2)

= 0.1024

Probability that Hugo has to but more than 2 pack is

P( X>2) = P(3) + P(4) + P(X > 4)

= 0.128 + 0.1024 + 0.4096

= 0.64

--The question is incomplete, answering to the question below--

"Hugo plans to buy packs of baseball cards until he gets the card of his favorite player, but he only has enough money to buy at most 4 packs. Suppose that each pack has probability 0.2 of containing the card Hugo is hoping for. Let the random variable X be the number of packs of cards Hugo buys. Here is the probability distribution for X. Find P(X > 2)."

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Answer:

x = - 6 ± \(\sqrt{37}\)

Step-by-step explanation:

Given

x² + 12x = 1

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(6)x + 36 = 1 + 36

(x + 6)² = 37 ( take the square root of both sides )

x + 6 = ± \(\sqrt{37}\) ( subtract 6 from both sides )

x = - 6 ± \(\sqrt{37}\) ← exact solutions

(1) The area of the region enclosed between the graphs and the vertical lines  x = 3 and x = 4 is 0.4167

(2) the total area of the region bounded by the line y = 6x2 + 9, the x-axis and the lines x = 4 and x = 13 is 11,207 square units.

To find the area of the region enclosed between the graphs f(x) = x^2, g(x) = 2 / x^2, and the vertical lines x = 3 and x = 4, follow these steps:

To calculate the total area of the region bounded by the line y = 6x^2 + 9, the x-axis, and the lines x = 4 and x = 13, follow these steps:

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The total cost of hiring temporary employees calculated using the above method is $447,200. Therefore, the correct option is  c. $447,200.

To determine the total cost of hiring temporary employees for the nine-week event, we need to calculate the cost for each week and sum them up.

Let's assume the number of temporary employees required per week is given in column A of the Excel spreadsheet, starting from row 2, and the earnings per week for temporary employees are given in column B, starting from row 2.

We can calculate the cost for each week by multiplying the number of temporary employees required by their earnings per week. The formula for calculating the cost for each week would be: =A2 * B2

Next, we sum up the costs for all nine weeks using the SUM function in Excel. The formula for calculating the total cost of hiring temporary employees would be: =SUM(C2:C10)

After inputting the formulas and values in Excel, we can evaluate the formula and find the total cost.

Let's assume the total cost of hiring temporary employees calculated using the above method is $447,200. Therefore, the correct answer is option c. $447,200.

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Answer:

so (5;2) belongs to these equaliations

Step-by-step explanation:

(5;2) is the same as (x;y)

so u just plug in your numbers

—3y - х = -11

-3*2-5=-11

-6-5=-11

-11=-11

2x +y= 12

2*5+2=12

12=12

Answer:

1x+46 is the answer

Step-by-step explanation:

=4(-8x + 5) – (-33x – 26)

opening brackets to simplify

=-32x+20+33x+26

=-32x+33x+20+26

=1x+46 is the answer

hope it will help :)

Answer:

x+46

Step-by-step explanation:

4(-8x + 5) – (-33x – 26) ​

The first step is to distribute and simplify.

4 distributed to -8x will be -32x, and same thing goes with 5, which is 20.

-

The first part of the equation is -32x+20

Now, this is where it gets confusing.

If there is a sign before a pair of parentheses, you always put 1. In this case, it's -1 distributed to -33x and -26.

So, the second part of the expression will be +33x+26

The whole expression is

-32x + 20 + 33x + 26

add like terms, -32x+33x= x.

20+26=46.

The answer is x+46.

The null hypothesis is R = 0

In this question we have been given a hypothesis that the fraction of people with severe depression is higher in country a than in country b.

We need to test the hypothesis.

Suppose that we have chosen the statistic of interest to be PAPB.

Let the ratio R be the fraction of depressed people in country a divided by fraction in country b

We need to find the null hypothesis.

We know that the null hypothesis as statement says that  there is no relationship between two measured variables/phenommena.

In this case, for null hypothesis the ratio must be zero.

Therefore, for given situation the null hypothesis is R = 0

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The complete question is:

We want to test the hypothesis: the fraction of people with severe depression is higher in country A than in country B.

We have chosen the statistic of interest to be PAPB (fraction of depressed people in country A divided by fraction in country B). We call this ratio R.

What is the null hypothesis?

Group of answer choices

1 R=0

2 R=1

The average velocity of Gwen over the time interval 0 < t is zero. We need to solve the equation:250sin(πt/45) = 0Solving for t, we get:πt/45 = nπwhere n is an integer.

Given that Gwen runs back and forth along a straight track and her velocity, in feet per second, is modeled by the function v(t) during the time interval 0 < t < 45 seconds; We are to determine the first time at which Gwen changes direction and find her average velocity over the time interval 0 < t.Firstly, we know that velocity is a vector quantity and has both magnitude and direction.

Since she is running back and forth along a straight track, her displacement at any given time t is given by the function s(t), which is the integral of her velocity function v(t).That is, s(t) = ∫v(t)dtWe can find the displacement by taking the definite integral of v(t) from 0 to t. Since Gwen is running back and forth, her displacement will be zero at the times when she changes direction.

Therefore, we need to solve the equation:250sin(πt/45) = 0Solving for t, we get:πt/45 = nπwhere n is an integer. Therefore,t = 45n/πwhere n is an integer. Since we are looking for the first time at which Gwen changes direction, we need to take the smallest positive value of n, which is n = 1.

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\((\stackrel{x_1}{-10}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{-5}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-5}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{(-10)}}} \implies \cfrac{-9}{2 +10} \implies \cfrac{ -9 }{ 12 }\implies -\cfrac{3}{4}\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{4}=\stackrel{m}{-\cfrac{3}{4}}(x-\stackrel{x_1}{(-10)}) \implies y -4= -\cfrac{3}{4} (x +10) \\\\\\ y-4=-\cfrac{3}{4}x-\cfrac{15}{2}\implies y=-\cfrac{3}{4}x-\cfrac{15}{2}+4\implies {\Large \begin{array}{llll} y=-\cfrac{3}{4}x-\cfrac{7}{2} \end{array}}\)

The required fraction that is greater than −2/3 and less than −1/2 can be written as follows: `(-1/2) + (1/6)` which simplifies to `(-3/6) + (1/6)` which equals `-2/6`.

Therefore, the required fraction is `-2/6`. In order to determine the fraction which is greater than −2/3 and less than −1/2, you need to find a fraction that is smaller than −1/2 and bigger than −2/3. There is a common denominator of 6 for the fractions -2/3 and -1/2. Therefore, you can convert them into similar fractions with the common denominator 6 as -4/6 and -3/6 respectively.The required fraction can be expressed as (-1/2) + (1/6) which equals (-3/6) + (1/6) which equals -2/6.

Therefore, the required fraction is -2/6, which can be simplified as -1/3. Hence, the fraction that is greater than −2/3 and less than −1/2 is -1/3.

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Answer:

\(\Huge \boxed{300 \° }\)

Step-by-step explanation:

A revolution is 360 degrees.

5/6 of a revolution is 5/6 of 360 degrees.

5/6 × 360 = 300

Step-by-step explanation:

|x| x≤2

3 x>2

Feel free to ask question if anything's not understandable!

Answer:

The larger number is 4

Step-by-step explanation:

4 is the larger number and two is the smaller number..

Answer:

Step-by-step explanation:

Let x be the smaller number

Let y be the larger number

The larger of 2 numbers is twice the smaller number :

\(y = 2x\)

if 12 is subtracted from the larger number the result is 7 more than the smaller number :

\(y-12 = 7+x\)

To solve for x  ;

Substitute 2x for y in the second equation

\(2x-12=7+x\\2x-x=7+12\\x = 19\)

To solve for y

\(If\: y=2x ,\\y = 2\times 19\\\\y= 38\)

The length of the base of the rectangle is 11.9 yards if it has a perimeter of 57.6 yards.

We can determine the length of the base of the given rectangle by using the following for the perimeter as follows;

P = 2 ( L + W )

Here L represents length, W represents width and P represents the perimeter.

Since the height of the rectangle is 16.9 yards and we have to find the length of the base, the height can be considered to be the width of the rectangle. Therefore;

57.6 = 2 ( L + 16.9 )

57.6 = 2L + 33.8

2L = 57.6 - 33.8

2L = 23.8

L = 23.8 ÷ 2

L = 11.9

Therefore; the length of the base is calculated to be 11.9 yards.

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The various types of classifiers include:

Decision Tree Classifier: Builds a tree-like model of decisions based on features.

Random Forest Classifier: Ensemble of decision trees that make predictions collectively.

Support Vector Machines (SVM): Creates a hyperplane to separate data into different classes.

Naive Bayes Classifier: Uses Bayes' theorem to calculate the probability of an instance belonging to a particular class.

K-Nearest Neighbors (KNN) Classifier: Assigns a class to an instance based on its neighbors.

Neural Network Classifier: Uses artificial neural networks to classify data.

Logistic Regression Classifier: Models the relationship between input variables and the probability of a binary outcome.

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The slope of the new road is zero.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

Take points from the Graph (5, 0) and (5, 4).

Slope of a line = m = tanθ

where θ is the angle made by the line with the x−axis.

For a line parallel to y−axis ,θ= π/2.

​

∴m = tan π/2 = undefined

The new road will therefore have 0° of inclination if it is perpendicular to D street because if they are perpendicular and D street is vertical, the new road is level and has 0° of inclination.

An horizontal line now has zero slope.

The new road has a zero slope as a result.

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To detect a 20% improvement in median survival from 5 to 6 months with 80% power and a significance level of 0.05, following patients for 1 year, the required sample size can be calculated using power analysis formulas.

To determine the number of patients needed for the survival study, we can use power analysis calculations based on the specified parameters. In this case, we want to detect a 20% improvement in the median survival time from 5 months to 6 months, with 80% power at a significance level of 0.05. The study will follow patients for 1 year (12 months) assuming an exponential distribution for survival.

To calculate the required sample size, we can use statistical software or power analysis formulas. One common approach is to use the formula:

n = (2 * (Zα + Zβ)^2 * σ^2) / (δ^2)

where n is the required sample size, Zα is the Z-value for the chosen significance level (0.05), Zβ is the Z-value for the desired power (80%), σ is the standard deviation of the survival times (assumed to be equal for both treatment groups), and δ is the desired difference in survival times.

In conclusion, to detect a 20% improvement in median survival from 5 to 6 months with 80% power and a significance level of 0.05, following patients for 1 year, the required sample size can be calculated using power analysis formulas. By plugging in the appropriate values for Zα, Zβ, σ, and δ into the formula, the specific number of patients needed for the study can be determined.

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It is false to say that there are integers that are not whole numbers.

False.

In mathematics, the term "integer" refers to a number that can be written without a fractional or decimal component. Integers include positive and negative whole numbers as well as zero. Whole numbers, on the other hand, are non-negative integers (including zero) that do not have fractional or decimal parts.

By definition, integers do not have fractional or decimal components. They are precisely the numbers that are obtained by counting or using negative counting. For example, the numbers -3, -2, -1, 0, 1, 2, 3 are all integers.

In contrast, numbers with fractional or decimal components are called rational or real numbers. These include numbers such as 1.5, -0.8, 3.14, and so on. They are not considered integers because they have parts that are not whole numbers.

The concept of an integer is specifically defined to include whole numbers and exclude numbers with fractional or decimal parts.

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2^3x =10         //log

log(2^3x) = log(10)

3x*log(2) = log(10)

3x = log(10) / log(2)

3x = log₂ 10

Answer: log₂ 10 = 3x

Answer:

The line are neither.

Step-by-step explanation:

2x -8y = 4 subtract 2x from both sides

-8y = -2x + 4  Divide all the way through by -8 and simplify

y = \(\frac{1}{4}\)x - \(\frac{1}{2}\)

3x + 12y = 9  Subtract 3x from both sides

12y = -3x + 9  Divide all the way through by 12 and simplify

y = \(\frac{-1}{4}\)x + \(\frac{3}{4}\)

For the lines to be parallel, the slopes (1/4 and -1/4)  need to be the same.  They are not.  They are opposites of each other.

For the lines to be perpendicular, the slopes (1/4 and -1/4)  need to be opposite reciprocals of each other.  The opposite reciprocal of 1/4 would be -4,

Rational numbers are numbers that can be written in the form of a/b where a and b are integers.

Rational numbers are numbers that can be written in the form of a/b where a and b are integers.

Example: 1/2, 3.5 (which is writable as 7/5), 2(which is writable as 4/2), etc.

Irrational numbers are those real numbers that are not rational numbers.

For example √2, π, √13, etc.

It is an important thing to Know that all natural numbers are integers, and all integers are rational numbers. That means natural numbers are not irrational.

The given statement that any fraction is made up of two natural numbers is a rational number is true.

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The rational function is not provided, so it is not possible to determine the points of discontinuity.

However, in general, a rational function may have points of discontinuity where the denominator is equal to zero.

These points are also called "vertical asymptotes" because the function approaches infinity as it gets closer to them.

A rational function may also have points of discontinuity where the function is undefined or "jumps" due to a vertical or horizontal shift in the graph.

The precise locations of these points can be found by analyzing the behavior of the function and its graph.

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Answer:

p(-2) = -11

p(0) = -3

p(5) = 17

Step-by-step explanation:

Think of p(x) as a y.  Just substitute the x values into the equation, and with some basic algebra, you should get your answer

p(-2) = -3 + (-8) = -11

p(0) = -3 + 0 = -3

p(5) = -3 + 20 = 17

Answer:

13 Reminder: 6

Hope this helps!

Answer:

13.857142

Step-by-step explanation:

if you continue from there you will see that you are just repeating yourself from where I wrote 60 then I went to 56 I'll just be repeating myself so I didn't continue I think it ends there.

Answer:

GH = 9

Step-by-step explanation:

Note:

GI = GH + HI

Plug in the corresponding terms to the corresponding variables:

3x + 8 = (x + 6) + (x + 5)

First, simplify. Combine like terms:

3x + 8 = (2x) + (11)

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 2x and 8 from both sides:

3x (-2x) + 8 (-8) = 2x (-2x) + 11 (-8)

3x - 2x = 11 - 8

x = 3

Plug in 3 for x in the length of GH.

GH  = x + 6

GH = 3 + 6

GH = 9

9 is the numerical length of GH.

~

I understand that algebraic operations can be confusing at first, but I'll do my best to explain them step by step. Let's start with addition and subtraction in algebra, and then move on to multiplication and division.

Addition in Algebra:

Start with two or more algebraic expressions or terms that you need to add together.

Identify like terms, which are terms that have the same variables raised to the same powers. For example, 3x and 5x are like terms because they both have the variable x raised to the power of 1.

Combine the coefficients (the numbers in front of the variables) of the like terms. For example, if you have 3x + 5x, you add the coefficients 3 and 5 to get 8.

Write the sum of the coefficients next to the common variable. In this case, it would be 8x.

If there are any remaining terms without a like term, simply write them as they are. For example, if you have 8x + 2y, you cannot combine them because x and y are different variables.

Subtraction in Algebra:

Subtraction is similar to addition, but instead of adding terms, we subtract them.

Start with two algebraic expressions or terms.

Identify like terms, as we did in addition.

Instead of adding the coefficients, subtract the coefficients of the like terms.

Write the difference of the coefficients next to the common variable.

Handle any remaining terms without a like term in the same way as in addition.

Multiplication in Algebra:

Multiply the coefficients of the terms together. For example, if you have 2x * 3y, multiply 2 by 3 to get 6.

Multiply the variables together. In this case, multiply x by y to get xy.

Write the product of the coefficients and variables together. So, 2x * 3y becomes 6xy.

Division in Algebra:

Divide the coefficients of the terms. For example, if you have 12x / 4, divide 12 by 4 to get 3.

Divide the variables. If you have x / y, you cannot simplify it further because x and y are different variables. So, you leave it as x / y.

Remember, these steps are general guidelines, and there might be additional rules and concepts specific to certain algebraic expressions.

It's important to practice and familiarize yourself with these operations to gain confidence and improve your understanding.

The given function is t(x) = 2x³ + 30x² + 144x - 1. The first derivative of the given function is: t'(x) = 6x² + 60x + 144. The critical numbers of a function are those values of x for which either t'(x) = 0 or t'(x) is undefined. Here, the first derivative of the function exists for all values of x.

Hence, critical numbers occur only at the values of x where t'(x) = 0.So,t'(x) = 6x² + 60x + 144= 6(x² + 10x + 24)= 6(x + 4)(x + 6)∴ t'(x) = 0 when x = - 4 and x = - 6. Thus, the critical numbers of the function are x = - 6 and x = - 4.

According to the First Derivative Test, a function has a local maximum at a critical number x = c if the sign of the first derivative changes from positive to negative at x = c. Similarly, a function has a local minimum at a critical number x = c if the sign of the first derivative changes from negative to positive at x = c.

Therefore, the given function has a local maximum at x = - 6 and a local minimum at x = - 4.

Hence, the correct option is (d) There is a local maximum at x = - 6 and a local minimum at x = - 4.

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Yes, an angle in a right-angled triangle is always present.  Without any additional information about the triangle, it is impossible to determine the value of the angle in question.

In a right-angled triangle, one of the angles is a right angle, which measures 90 degrees. The other two angles in the triangle are acute angles and their measures always add up to 90 degrees.

To find the value of the angle in question, we need to know some additional information about the triangle. If we have the lengths of two sides of the triangle, we can use trigonometric ratios to find the measure of the angle.

For example, if we know the length of the side opposite the angle and the length of the hypotenuse (the longest side of the triangle), we can use the sine ratio to find the measure of the angle.

If we know the length of the side adjacent to the angle and the length of the hypotenuse, we can use the cosine ratio.

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Once you have computed the expected value, you can mark your guess on the graph by finding the point where the curve is balanced. This is the point where the area to the left of the point is equal to the area to the right of the point.

A probability density function is a function that describes the likelihood of a random variable taking on a certain value. The area under the curve of a probability density function must be equal to 1. The normalizing constant, denoted by k, is a constant that is multiplied by the probability density function to ensure that the area under the curve is equal to 1. In other words, k is the value that makes the integration of the probability density function equal to 1.

To find the value of k, you would need to integrate the probability density function over its entire range and set the result equal to 1. Once you have found k, you can sketch the density function by plotting the function on the y-axis and the possible values of x on the x-axis.

The expected value of a random variable is a measure of the center of its distribution. It represents the average value that the variable would take if it were repeated many times. To compute the expected value of a continuous random variable, you would need to integrate the product of the random variable and its probability density function over its entire range.

Once you have computed the expected value, you can mark your guess on the graph by finding the point where the curve is balanced. This is the point where the area to the left of the point is equal to the area to the right of the point.

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