The function f(x) has a vertical asymptote at x= [blank].

The closest probability to that a randomly chosen task will take less than 34 minutes or more than 60 minutes to complete is 0.0303. Hence, the option that is closest to 0.0303 is b. 0.0303.

The probability that a randomly selected task will take less than 34 minutes is equal to P (X <34).

Here, the given data is

Mean (μ) = 47 minutes

Standard deviation (σ) = 6 minutes

So, the standardized value of 34 minutes =z

1 = (34 - 47) / 6 = - 2.1667

The probability that a randomly chosen task will take more than 60 minutes to complete is equal to P (X> 60).

Here, the given data is

Mean (μ) = 47 minutes

Standard deviation (σ) = 6 minutes

So, the standardized value of 60 minutes =z

2 = (60 - 47) / 6 = 2.1667

Thus, we need to find the probability that a randomly selected task will take less than 34 minutes or more than 60 minutes to complete. That is, we need to find the probability of the union of the two events P (X <34) ∪ P (X> 60).Using the standard normal table, we can find

P (X <34) = P (Z <−2.1667)

               = 0.0151

P (X> 60) = P (Z> 2.1667)

               = 0.0151

Therefore, P (X <34) ∪ P (X> 60) = P (X <34) + P (X> 60) - P (X <34 ∩ X> 60)0.0151 + 0.0151 - 0

                                                     = 0.0302

                                                    ≈ 0.0303

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Answer:

14 or 0.14

Step-by-step explanation:

3 1/2 ÷ 1/4

1/4 = 25

3 1/2 ÷ 25 = 0.14 or 14

This is correct answer can you mark me brainliest

The coordinates of point D on the graph are (2,-2). the square has a surface area of 25 square units. The perimeter of the square p is 20 units.

A (2,3), B (-3, 3), and C (-3, -2) are the given points.

In the graph below, the points are plotted.

The coordinates of point D on the graph are (2,-2).

In this case, AB = 5 units [from the graph].

The square's area = side * side

ABCD's square area = AB *AB

= 5×5

= 25 square units.

As a result, the square has a surface area of 25 square units.

The perimeter of the square p = 4 * side

                                               p = 4 *5 = 20 units.

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Similar question:

The three vertices of a square are A (2,3), B(-3, 3), and C (-3, -2). Plot these points on graph paper and

hence use it to find the coordinates of the fourth vertex. Also, find the area and perimeter of the square.

Answer:

2. the total number of tasks Shelly completed

Answer

The answer is -43.

Explanation

The question wants us to evaluate the expression using the given variables

-k² - (2k - 5n) + 3n

if k = -3, n = -5

So, to solve this, we would just substitute the given values for k and n

-k² - (2k - 5n) + 3n

= -(-3)² - [(2 × -3) - (5 × -5)] + (3 × -5)

= -(9) - [-6 - (-25)] - 15

= -9 - (-6 + 25) - 15

= -9 - (19) - 15

= -9 - 19 - 15

= -43

Hope this Helps!!!

Answer:

3

Step-by-step explanation: 15 divided by 3 is 5, 30 divided by 3 is 10

The distance between the two points in a radical form is √85 units

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

(-8,-4),(1,-6)

The distance between the points is calculated as

distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Where

(x, y) = (-8,-4),(1,-6)

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

distance = √[(1 + 8)² + (-6 + 4)²]

Evaluate

distance = √85

Hence, the distance is √85

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Answer:

No solution

Step-by-step explanation:

Answer:

slope = - 2

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 5, 0) and (x₂, y₂ ) = (4, - 18) ← 2 ordered pairs from the table

m = \(\frac{-18-0}{4-(-5)}\) = \(\frac{-18}{4+5}\) = \(\frac{-18}{9}\) = - 2

The value of x and y in the quadratic and linear equation are (0.37, -137) and (-3.26 , -6.74) respectively

In the problem given;

2x² + 4x - y = -3 ..eq(i)

-2x + y = -4 ..eq(ii)

From equ(ii)

Using the linear equation;

y = 2x - 4 ...eq(iii)

Put eq(iii) into eq(i)

2x² + 4x - (2x - 4) = -3

2x² + 4x - 2x - 4 = -3

2x² + 2x - 4 = -3

Rearrange the equation;

2x² + 2x - 4 + 3 = 0

2x² + 2x - 1 = 0

Solving the quadratic equation;

x = 0.37 or -1.37

Put the value of x into eq(ii)

-2(0.37) + y = -4

y  = -3.26

or

-2(-1.37) + y = -4

y = -6.74

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The mean is the average of a set of numbers. To calculate the average, add up all the numbers and divide by the total number of values. The mean annual salary for the six people whose annual salaries were $12,000, $20,000, $25,000, $37,000, $67,500, and $125,000 can be calculated as follows:

Step 1: Add the annual salaries of the six people.

$12,000 + $20,000 + $25,000 + $37,000 + $67,500 + $125,000 = $286,500

Step 2: Divide the total annual salaries by the number of people to obtain the mean.

$286,500 ÷ 6 = $47,750

In statistics, mean refers to the average of a given set of numerical values. The mean is one of the most commonly used measures of central tendency. It is calculated by adding all the numerical values in a data set and then dividing the sum by the total number of values in the set.In the problem above, the mean annual salary for the six people whose annual salaries were $12,000, $20,000, $25,000, $37,000, $67,500, and $125,000 was calculated by first adding all the annual salaries and then dividing the sum by the total number of people. The mean annual salary for the six people was calculated to be $47,750.

Since the mean is one of the most commonly used measures of central tendency, it is important to understand how to calculate it. The mean is useful because it can give us a sense of the typical or average value in a set of data. However, it is important to note that the mean can be influenced by extreme values in the data set. In this case, the individual with an annual salary of $125,000 is an extreme value, and this value has a significant effect on the mean.

The mean annual salary for the six people whose annual salaries were $12,000, $20,000, $25,000, $37,000, $67,500, and $125,000 was $47,750. The mean is calculated by adding all the numerical values in a data set and then dividing the sum by the total number of values in the set. While the mean is useful in giving us a sense of the typical or average value in a set of data, it can be influenced by extreme values in the data set.

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Answer:

boys=119, girls= 153

Step-by-step explanation:

let the number of boys and girls be 7x and 9x respectively

Then, ATQ

9x=7x+34

or, 9x-7x=34

or,2x= 34

or, x=17

therefore, the number of boys is 17×7=119

and number of girls is 17×9=153

Answer:

4x+2=4x+2

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

The area of each side is length * width:

2( 12 * 30 + 12 * 16 + 16 * 30)

which we can rewrite as 2( 12 * 30) + 2( 12 * 16) + 2 * ( 30 * 16)

Answer:

Four percent

Step-by-step explanation:

A check or quadrangle is defined by the intersection of pairs of diagonals of a parallelogram.

A parallelogram is a quadrilateral with two pairs of parallel sides. In a parallelogram, the opposite sides are parallel and have the same length. The opposite angles of a parallelogram are equal. A parallelogram is a unique type of quadrilateral with specific characteristics.

A quadrangle or check is defined as the intersection of pairs of diagonals of a parallelogram. In other words, it is the area inside the parallelogram that is divided into four triangles, each of which shares a common vertex in the center of the parallelogram.

The diagonals of a parallelogram are the line segments that connect the opposite vertices of a parallelogram. When these diagonals intersect, they form four triangles, which are also known as the parallelogram's "sub-triangles." The point where the diagonals intersect is called the center of the parallelogram, and it divides each diagonal into two equal parts.

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The domain of the function is `R` and the y-intercept is `(0, -3)`

Given, `y = log4(2x + 1) - 3`.

To determine the domain of the function,

we should look for all values of `x` that would make the given function undefined.

There are no real values of `x` that would make the function undefined.

Therefore, the domain of the function is all real numbers or `R`.

To determine the y-intercept, substitute `x = 0` in the given function.`

y = log4(2(0) + 1) - 3 = log4(1) - 3 = 0 - 3 = -3`

Therefore, the y-intercept of the function is `(0, -3)`.

Hence, the domain of the function is `R` and the y-intercept is `(0, -3)`.

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Answer: \(\frac{15}{2}\)

Step-by-step explanation:

\(\frac{2}{3}x-1=4\)

\(\frac{2}{3} x=4+1\)

\(\frac{2}{3} x=5\)

\(x=\frac{5}{\frac{2}{3} } =\frac{\frac{5}{1} }{\frac{2}{3} } =\frac{5*3}{1*2} =\frac{15}{2}\)

\(x=\frac{15}{2}\)

Answer:

100

Step-by-step explanation:

8000/80=100

8 thousands= 8000

8 tens= 80

Expert Answer, Mark AS BRAINLIEST!!!

The solution of the given initial value problem, x'' + 33.64x = 4cos(6t), with x(0) = x'(0) = 0, can be expressed as a sum of the homogeneous solution and the particular solution.

To find the solution, we start by solving the homogeneous equation, x'' + 33.64x = 0. The characteristic equation associated with this homogeneous equation is \(r^2 + 33.64 = 0\), which yields the roots

r = ±i√33.64. Thus, the homogeneous solution can be expressed as

x_h(t) = A*cos(√33.64*t) + B*sin(√33.64*t),

where A and B are constants determined by the initial conditions.

Next, we need to find the particular solution for the forced oscillation. Since the right-hand side of the equation is of the form Acos(ωt), where ω = 6, we assume a particular solution of the form x_p(t) = C*cos(ω*t + φ), where C and φ are constants to be determined. Taking the derivatives, we have x_p''(t) = -ω^2*C*cos(ω*t + φ) and x_p'(t) = -ω*C*sin(ω*t + φ). Substituting these into the original equation, we obtain -ω^2*C*cos(ω*t + φ) + 33.64*C*cos(ω*t + φ) = 4*cos(ω*t).

To satisfy this equation, the coefficient of the cosine term must be 4, while the coefficient of the sine term must be zero. This gives us two equations: -ω^2*C + 33.64*C = 4 and -ω*C = 0. Solving these equations, we find C = 4/(33.64 - ω^2) and φ = 0. Therefore, the particular solution is x_p(t) = (4/(33.64 - ω^2))*cos(ω*t).

Finally, we combine the homogeneous solution and the particular solution to obtain the complete solution:

x(t) = x_h(t) + x_p(t) = A*cos(√33.64*t) + B*sin(√33.64*t) + (4/(33.64 - ω^2))*cos(ω*t).

By substituting the initial conditions x(0) = x'(0) = 0 into this equation, we can determine the values of A and B. With the obtained values, the final solution for the initial value problem can be expressed in terms of the given constants and the trigonometric functions involved.

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The five-number summary for the dataset are Minimum: 68, Q1: 69, Median: 78, Q3: 90 and Maximum: 94.

To create a box and whisker plot for the given dataset {69, 88, 94, 73, 78, 90, 68}, follow these steps:

Step 1: Arrange the data in ascending order:

68, 69, 73, 78, 88, 90, 94

Step 2: Find the five-number summary:

Minimum: The smallest value in the dataset, which is 68.

First quartile (Q1): The median of the lower half of the dataset. In this case, it's the median of {68, 69, 73}, which is 69.

Median (Q2): The middle value of the dataset. In this case, it's 78.

Third quartile (Q3): The median of the upper half of the dataset. In this case, it's the median of {88, 90, 94}, which is 90.

Maximum: The largest value in the dataset, which is 94.

Step 3: Create the box and whisker plot:

Draw a number line with a range from the minimum (68) to the maximum (94).

Mark the first quartile (Q1) at 69.

Mark the median (Q2) at 78.

Mark the third quartile (Q3) at 90.

Draw a box from Q1 to Q3.

Draw a vertical line (whisker) from the box to the minimum (68) and another vertical line from the box to the maximum (94).

The resulting box and whisker plot for the given dataset would look like this:

  |

 94|                 ▄

  |                ╱ ╲

 90|              ╱   ╲

  |             ╱     ╲

 88|            ▇       ▂

  |            ▇       ▂

 78|            ▇       ▂

  |            ▇       ▂

 73|          ╱         ╲

  |         ╱           ╲

 69|        ▃             ▃

  |       ╱               ╲

 68|      ╱                 ╲

  |_________________________________

    68     73     78     88     94

This plot represents the distribution of the given dataset, showing the minimum, maximum, first quartile (Q1), median (Q2), and third quartile (Q3).

The five-number summary for the dataset are Minimum: 68, Q1: 69, Median: 78, Q3: 90 and Maximum: 94.

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Answer:

1) find d or distance between numbers

2) equation: an=a1+(n-1)d

3) an is nth term

    a1 is first number in sequence

firstly u can take the value of x=3 then put the value of x in equation..then u will get y = 0 so from this equation u get this(3,0)

then do same thing take value x = 6 and then u will get the value of y = -1 therefore u will get (6,-1)

Now plot these two points (3,0) and (6,-1) on graph..

Hope it helps u..!!

The correct statement is: A. P(E) = 0.3. The probability of event E, denoted as P(E), is equal to 0.3.

To determine the correct answer, let's analyze the given information.

We know that events D and E are independent, which means that the occurrence of one event does not affect the probability of the other event happening.

Given:

P(D) = 0.6

P(D and E) = 0.18

Since events D and E are independent, the probability of both events occurring (P(D and E)) can be calculated as the product of their individual probabilities:

P(D and E) = P(D) * P(E)

Substituting the given values:

0.18 = 0.6 * P(E)

To find the value of P(E), we can rearrange the equation:

P(E) = 0.18 / 0.6

P(E) = 0.3

Therefore, the correct answer is A. P(E) = 0.3.

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Riley's mistake in step 2 of her homework was canceling out the x term in both the numerator and denominator of the second fraction. This cancellation is incorrect because the terms x and x-3 are not the same and cannot be simplified or canceled out.

To illustrate the correct simplification, let's evaluate the given expression:

\($$\frac{x}{x^2-5x+6} \cdot \frac{1}{\frac{x}{x-3}}$$\)

First, we simplify the denominator in the second fraction by multiplying by the reciprocal:

\($$\frac{x}{x^2-5x+6} \cdot \frac{x-3}{x}$$\)

Next, we notice that the x terms in the numerator and denominator of the second fraction can be canceled out:

\($$\frac{1}{\frac{1}{x-3}}$$\)

Further simplification can be done by multiplying the fraction in the denominator by its reciprocal:

\($$1 \cdot \frac{x-3}{1} = x-3$$\)

Hence, the correct simplification of the expression is x-3. Riley's mistake was canceling out the x terms in the second fraction, which led to an incorrect simplification.

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Ashley used 8/25 of the spool for her project.

To determine the fraction of the spool that Ashley used for her project, we need to multiply the fraction of the spool she had (4/5) by the fraction she used (2/5):

(4/5) * (2/5) = 8/25

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Answer:

280 hours

Step-by-step explanation:

The lowest term of the given expression after simplifying the fractions are 3(x - 2/3)(x - 3)/(x - 5)(x + 3) - 2x(x - 1)/(2x + 1)

1. To reduce the expression x^2 - 9x/28x + 15 to lowest terms, we first factor the numerator and denominator:

x^2 - 9x + 15 = (x - 3)(x - 5)
28x + 15 = 7(4x + 3)

So the expression becomes (x - 3)(x - 5)/7(4x + 3). We cannot simplify this any further, so the answer is (a) x - 3/x + 5.

2. To simplify a^2 - 25/a^2 - 3a - 15, we first factor the numerator and denominator:

a^2 - 25 = (a + 5)(a - 5)
a^2 - 3a - 15 = (a - 5)(a + 3)

So the expression becomes (a + 5)(a - 5)/(a - 5)(a + 3). We can cancel out the (a - 5) term, so the answer is (c) a(a - 5)/3.

3. To simplify 3x^2 - 4x + 6/x^2 - 2x - 15 - 2x^2/2x + 1, we first combine the numerator of the first fraction:

3x^2 - 4x + 6 = 3(x^2 - (4/3)x + 2)

Then we factor the denominator of the first fraction:

x^2 - 2x - 15 = (x - 5)(x + 3)

We can also factor the numerator of the second fraction:

-2x^2 = -2x(x - 1)

And finally, we factor the denominator of the second fraction:

2x + 1 = (2x + 1)

Putting it all together, we have:

3(x - 2/3)(x - 3)/(x - 5)(x + 3) - 2x(x - 1)/(2x + 1)

We cannot simplify this any further, so this is the answer.

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Answer:

B)

Step-by-step explanation:

Let's check each answer:

A is incorrect. If that were the case, (0,1) to (1,3) would be (0,1) to (1,5) instead

B is correct. The y-coordinate gets multiplied by 3 each time (0,1)->(1,1*3)->(2,3*3)->(4,3*3*3)

C is incorrect. If that were the case, (1,3) to (2,9) would be (1,3) to (2,7) instead.

D is incorrect. If that were the case, (0,1) to (1,3) would be (0,1) to (1,4) instead.

Therefore, the correct answer is B.

Answer:

Its B :)

Step-by-step explanation:

I j took the unit quiz lol