Please answer quickly!!!!

Using the uniform distribution, it is discovered that there is a 0.625 = 62.5% chance that a randomly picked passenger will have to wait longer than 2.25 minutes.

The boundaries of a uniform distribution are a and b.

The likelihood of discovering a value greater than x is:

P(X > x) = (b - x)/(b - a)

In this problem, the time is equally distributed between 0 and 6 minutes, so.

a=0

b=6

P(X > 2.25) is the probability of a time larger than 2.25 minutes, so:

P(X > x) = (6 - 2.25)/(6 - 0) = 0.625

A randomly picked passenger has a 0.625 = 62.5% chance of waiting longer than 2.25 minutes.

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The rate of change is 6, so the coefficient of n is 6.

So, it follows that the constant being subtracted is 9.

The rate of change is 6, so the coefficient of n will be 6 and t is 27.

Suppose that we have to measure the rate of change of y as x changes, then we have:

\(Rate = \dfrac{y_2 - y_1}{x_2 - x_1}\)

where we have that ;

\(\rm when \: x=x_1, y = y_1\\when\: x = x_2, y= y_2\)

Recall that, we have to divide by the change in independent variable so that we get some idea of how much the dependent quantity changes as we change the independent quantity by 1 unit.

Since principal asked some local nurseries to each donate 6 trees to her school.

Also, plan is to plant 9 trees in the student garden and the rest near the athletic fields.

Here n represent the number of nurseries that donate trees and t represent the number of trees to be planted near the athletic fields.

Then;

n = 6

t = 27

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There are a total of 12 choices for a small cup and 12 choices for the flavor, resulting in 12 possible selections. For the large cup, there are 12 choices for the first scoop and 11 choices for the second scoop (excluding the flavor already chosen), resulting in 132 possible selections.

The number of possible selections, we consider the choices for each cup size separately.

For a small cup, there are 12 flavors to choose from, so there are 12 possible selections.

For the large cup, we need to choose two different flavors. We have 12 choices for the first scoop, and once we have chosen a flavor, there are 11 remaining flavors for the second scoop (since it must be different from the first). This gives us a total of 12 * 11 = 132 possible selections.

Therefore, combining the possibilities from the small cup (12) and the large cup (132), there are a total of 12 + 132 = 144 possible selections at Cold Cup o' Cream.

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In order to evaluate the expression, we must first understand the order of operations. The ^ symbol indicates an exponential, which takes precedence over division. the expression.343 ^ { 4 / 3 } is 7,625

In order to evaluate the expression, we must first understand the order of operations. The ^ symbol indicates an exponential, which takes precedence over division. Therefore, we will first calculate 343^4 and then divide the result by 3. 343^4 = 7,741,675. 7,741,675 divided by 3 is equal to 2,580,558.33. When rounded to the nearest whole number, the answer is 7,625.The expression 343^ {4/3} can be broken down into 343 to the power of 4 divided by 3. Before we evaluate the expression, we must understand the order of operations. The ^ symbol indicates an exponential, which takes precedence over division. Therefore, we will first calculate 343^4 and then divide the result by 3. 343^4 can be calculated using the formula 343 x 343 x 343 x 343. This results in 7,741,675. 7,741,675 divided by 3 is equal to 2,580,558.33. When rounded to the nearest whole number, the answer is 7,625.

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Answer:

First one is 4 and the second one is 0

Step-by-step explanation:

Answer: Side-Side-Side Similarity Theorem

Step-by-step explanation:

Abdul can use the Side-Side-Side Similarity Theorem because:

Triangles all have the same sides, and these two are the exact triangle kind.

Therefore, the answer is Side-Side-Side Similarity Theorem.

The domain and range of the logarithmic function is given by:

Domain= [ 0 , ∞ ) and Range = { y ∈ R }.

As given in the question,

Let y = logₐ x be the given logarithmic function.

Logarithmic function is defined for all the positive values.

Domain of the logarithmic function is given by x∈ R , x > 0.

Range of the logarithmic function is inverse of the domain of the exponential function.

x = e^y

Here y is set of all the real numbers.

Range of logarithmic function is set of all the real numbers.

Therefore, domain of the logarithmic function is set of all real number greater than zero and range of the logarithmic function is the set of all the real numbers.

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Answer:

7k - 7

Step-by-step explanation:

- k - (- 8k + 7) ← distribute parenthesis by - 1

= - k + 8k - 7 ← collect like terms

= 7k - 7

We can compare the efficiency of these methods by computing the number of function evaluations required for each method to achieve a given accuracy. We can also compare their accuracy by computing the error and comparing it to the true value of the integral (if known). In general, the adaptive quadrature routines tend to be more accurate and efficient than the composite quadrature rules, especially for integrals with complicated behavior. However, the choice of method depends on the specific integral and the desired level of accuracy.

(a) We can use the substitution u = 1 + 100r^2 to simplify the integral. Then du/dx = 200r, and the limits of integration change to u(0) = 1 and u(1) = 101. Thus, we have:

∫ cos(πr) dr = (1/200)∫ cos(πr) (du/dx) dx

= (1/200) ∫ cos(πr) (200r) dx

= (π/2√2) [sin(πr)/r]_1^101

≈ 0.069

(b) This integral involves the error function, which cannot be evaluated using elementary functions. We need to use numerical methods to approximate its value.

(c) To compare composite quadrature rules, we can use the trapezoidal rule, Simpson's rule, and the midpoint rule with different mesh sizes. For example, we can use h = 0.1, h = 0.05, and h = 0.01. To compare adaptive quadrature routines, we can use the adaptive Simpson's rule and the adaptive Gauss-Kronrod rule with different error tolerances, such as 10^-4, 10^-6, and 10^-8.

We can compare the efficiency of these methods by computing the number of function evaluations required for each method to achieve a given accuracy. We can also compare their accuracy by computing the error and comparing it to the true value of the integral (if known). In general, the adaptive quadrature routines tend to be more accurate and efficient than the composite quadrature rules, especially for integrals with complicated behavior. However, the choice of method depends on the specific integral and the desired level of accuracy.

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Polynomials are algebraic expressions consisting of terms that include real numbers, variables, and positive integer exponents. Each term in a polynomial has a variable raised to a non-negative integer power, and the coefficient of each term is a real number. Polynomials are classified by the degree of their highest power. If two or more terms in a polynomial have the same variable raised to the same power, they can be combined into a single term.

1. -x² + x - x² + 1

Combine like terms: -x² + x - x² + 1 = -2x² + x + 1

This polynomial has degree 2 because the highest power of the variable is 2.

2. x² + x + 2x³ - x

Rearrange terms: 2x³ + x² + x - x = 2x³ + x²

This polynomial has degree 3 because the highest power of the variable is 3.

3. 4x + x + x - 2

Combine like terms: 4x + x + x - 2 = 6x - 2

This polynomial has degree 1 because the highest power of the variable is 1.

4. 3x² + 4 - 3x² - 1

Combine like terms: 3x² - 3x² + 4 - 1 = 3

This polynomial has degree 0 because there is no variable term.

Therefore, the four given polynomials have degrees 2, 3, 1, and 0, respectively.

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Given the expression:

Multiplying the coefficents 4 and -3 give -12

Multiplying the variables by summing the exponents

So,

So, the answer will be -12 x^5

Answer:

2(-5 + x) and 2(25 + x)

Step-by-step explanation:

Answer:

Step-by-step explanation:

What is 3.37 as a percent?

To write 3.37 as a percent have to remember that 1 equal 100% and that what you need to do is just to multiply the number by 100 and add at the end symbol % .

3.37 * 100 = 337%

And finally we have:

3.37 as a percent equals 337%

Answer:

337%

Step-by-step explanation:

3.37x100=337

Answer: Population parameter

Step-by-step explanation: The parameter can be defined as a numerical value used to describe an entire population. The population describes all the entire values or members belonging to a particular group. Hence, numerical values which are used to explain the characteristic of the population is called the population parameter. Sample statistics on the other hand are numerical values associated statistical properties of a sample which is a subset of a certain population.

In the instance given above, 43% represents the population parameter which describes the percentage number of Democratic voters out of the entire population of voters in the city.

Answer: eggplant, Garlic, Brussels sprouts, Kale, Green peas, Swiss chard.

Step-by-step explanation:

Answer:

84

Step-by-step explanation:

Answer:

84

Step-by-step explanation:

Prim factorize

7 = 7

14 = 7 * 2

28 = 7 * 2 * 2

42 = 7 * 2 * 3

LCM = 7 * 2* 2  * 3 = 84

The sketch of the normal curve has been attached. A proportion of 38.6% of Nylon ropes will break with a load of 5000 points and with a load of 5056.13 lbs, 95% of Nylon ropes will break.

a)

It is already given that the mean of the distribution is 5036lbs and the standard deviation is 122 lbs.

Hence to sketch the distribution we will take up the apex of the bell shape at the mean i.e 5035 lbs.

A normal distribution usually ranges from 6 to 7 standard deviations.

Therefore, we will take up three standard deviations from the mean on both sides and make the curve.

Hence we get the image attached

b)

Here we need to find the proportion of ropes that will break with a 5000 lbs load.

Hence we need to calculate

P(X<5000)

To do this we will first convert it to a standard normal distribution value

To do that we will use the formula

(x - μ)/σ

(500- - 5036)/ 122

= -36/122

= - 0.295

Now

Φ(-0.295) = 1 - Φ(0.295)

= 1 - 0.614

= 0.386

Therefore the proportion is 38.6%

c)

Here we are asked to calculate the load at which 95% of the ropes will break. Hence we need to calculate  a value of x for which the probability will be 0.95

Hence we get

Φ((x - μ)/σ) = 0.95

Φ((x - 5036)/122) = 0.95

Looking up the p-value we find that the z-score of 1.65 has the value closest to it hence we get

Φ((x - 5036)/122) = Φ(1.65)

or, x - 5036 = 1.65 X 122

or, x = 20.13 + 5036

or, x = 5056.13

Complete Question

The climbing rope will break if pulled hard enough. Experiments show that 10.5mm Dynamic nylon rope has a mean breaking point of 5036 lbs with a standard deviation of 122 lbs. Assume breaking points of rope are normally distributed.

a) Sketch the distribution of breaking points for this rope.

b) What proportion of ropes will break with 5000 lbs of load?

c) At what load will 95% of all ropes break?

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You can see two lines in the graph. Then, it is a System of Linear equations.

By definition:

- When a System of linear equations has two parallel lines, the system has No solution.

- When they are exactly the same line, the system has Infinitely many solutions.

- When the lines intersect each other, then the System of equations has One solution. The solution will be the point of intersection.

As you can observe in the graph given in the exercise, there are two lines intersecting each other. Therefore, you can conclude that this System of Linear equation has One solution.

The answer is: Option B.

Answer:

150 miles = 2.5 hours x speed2.5 hours =150 miles/speedspeed = 150 miles/2.5 hours

Hope this helps :)

Answer:

|6+2|=8

Step-by-step explanation:

6+2=8

Answer:

y=-1/4x-6

Step-by-step explanation:

y intercept is -6 and slope is -1/4

point slope is y-y1=m(x-x1)

you can use and point. i am using (0,-6)

y--6=-1/4(x-0)

y+6=-1/4x

-6 -6

y=-1/4x-6

Answer:

66

Step-by-step explanation:

180 - 114)  These angles are supplemental.  They add to 180

66

Answer:

m<6=66°

Step-by-step explanation:

Because m<2 and m<3 are both on a straight line, we know they must add to 180°:

m<2 + m<3 =180

We know m<3=114°, so:

m<2 +114 = 180

m<2 = 66

Since AB|CD, m<2 and m<6 are corresponding angels, making them equal, and so m<6=66°.

Answer:

144 egg sandwiches

Step-by-step explanation:

\(25\% + 45\% = 70\%\), and \(100\% - 70\% = 30\%.\) Thus, \(30\%\) of the \(480\) sandwiches are egg sandwiches. Since "of" means multiply, we have \(30\% \cdot 480.\) We know \(30\% = \frac{30}{100} = \frac{3}{10},\) so we can rewrite it as \(\frac{3}{10} \cdot 480.\) We cancel \(480\) with \(10\) which is \(480 \div 10 = 48.\) We multiply \(48\) by the numerator, \(3,\) to get \(48 \cdot 3 = 144.\) Thus, Lillian makes \(\boxed{144 \text{ egg sandwiches.}}\)

To find the eigenvalues and eigenvectors of a 2x2 matrix, follow these steps:

Calculate the characteristic equation by subtracting the identity matrix I multiplied by the scalar λ from matrix A, and set the determinant of this resulting matrix equal to zero. The characteristic equation is given by det(A - λI) = 0.Solve the characteristic equation to find the eigenvalues (λ).

Let's assume we have a 2x2 matrix A:

  | a  b |

A = | c d |

To find the eigenvalues, we need to calculate the characteristic equation:

det(A - λI) = 0,

where I is the 2x2 identity matrix and λ is the eigenvalue.

A - λI = | a-λ b |

| c d-λ |

The determinant of this matrix is:

(a-λ)(d-λ) - bc = 0,

which simplifies to:

λ² - (a+d)λ + (ad - bc) = 0.

This quadratic equation gives us the eigenvalues.

Solve the quadratic equation to find the values of λ. The solutions will be the eigenvalues.

Once you have the eigenvalues, substitute each value back into the equation (A - λI)v = 0 and solve for v to find the corresponding eigenvectors.

For each eigenvalue, set up the homogeneous system of equations:

(A - λI)v = 0,

where v is the eigenvector.

Solve this system of equations to find the eigenvectors corresponding to each eigenvalue.

To find the eigenvalues and eigenvectors of a 2x2 matrix, follow the steps mentioned above. The characteristic equation gives the eigenvalues, and by solving the corresponding homogeneous system of equations, you can determine the eigenvectors.

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Explanation:

This is a constant vertical line on x = -1

Answer:

The graph is:

the wheel rotates through an angle of approximately 59.32 radians in 11 seconds.

To find the angle through which the wheel rotates, we need to first determine the distance traveled by the tractor in 11 seconds and then find the circumference of the wheel. Finally, we can calculate the angle in radians.

1. Convert the speed from mph to inches per second:
24 mph * (5280 feet per mile) * (12 inches per foot) / (3600 seconds per hour) ≈ 422.4 inches per second

2. Calculate the distance traveled in 11 seconds:
Distance = Speed × Time
Distance = 422.4 inches per second × 11 seconds = 4646.4 inches

3. Find the circumference of the wheel:
Circumference = 2 × π × Radius
Circumference = 2 × π × 25 inches = 50π inches

4. Calculate the number of rotations:
Number of rotations = Distance / Circumference
Number of rotations = 4646.4 inches / 50π inches ≈ 29.66 rotations

5. Find the angle in radians:
Angle = Number of rotations × 2π
Angle = 29.66 rotations × 2π radians ≈ 59.32 radians

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Answer:

Step-by-step explanation:

Answer:

\( z = \dfrac{3R}{2xy^2} \)

Step-by-step explanation:

\( R = \dfrac{2}{3}xy^2z \)

\( \dfrac{2}{3}xy^2z = R \)

\( \dfrac{3}{2xy^2} \times \dfrac{2}{3}xy^2z = \dfrac{3}{2xy^2} \times R \)

\( z = \dfrac{3R}{2xy^2} \)

The solid line on the graph has a positive slope that will be 2y - 3x ≥ 7. Then the correct option is C.

Let the equation of the line pass through (x₁, y₁) and (x₂, y₂).

Then the equation of the line is given as,

\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)

The points that are on the line are given below.

(-9, -10), (-3, -1), and (3, 8)

The inequality of the line is given as,

(y - 8) ≥ [(8 + 1) / (3 + 3)] (x - 3)

y - 8 ≥ (3/2)(x - 3)

2y - 16 ≥ 3x - 9

2y - 3x ≥ 7

The solid line on the graph has a positive slope that will be 2y - 3x ≥ 7. Then the correct option is C.

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Answer: c

Step-by-step explanation: