$592 is the minimum cost in dollars for a fair to be included in the highest 3% of domestic airfares. Using the concept of probability -
What is probability?Probability is a mathematical discipline that concerns with numerical figures of how probable an occurrence is to occur or how probably a statement is to be true. A number between 0 and 1 is the probability of an occurrence, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.
Mean – 385 per ticket
Standard Deviation - 110
Now,
P (Z > x ) = 0.03
Value of z to the cumulative probability of 0.03 from the normal distribution table is 1.88
P(x - u / (standard deviation) > x - 385/110) = 0.03
That is, (x - 385/110) = 1.88
Therefore, x = 1.88 ×( 110+385)
= 591.91 or $592
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find a non-zero 2×2 matrix b, such that ab equals the 2×2 zero matrix.
There is no non-zero 2x2 matrix b that satisfies the equation ab = 0 for any non-zero 2x2 matrix a.
To find a non-zero 2x2 matrix b such that ab equals the 2x2 zero matrix, we can set up the following equation:
a * b = 0
where a is any non-zero 2x2 matrix. To solve for b, we can use the fact that matrix multiplication is distributive, associative, and has a zero property. This means that if any element in the product of two matrices is zero, then either one or both of the matrices must have a corresponding row or column that is all zero.
So, let's choose a specific non-zero 2x2 matrix for a, such as:
a = [ 1 2
3 4 ]
Then, we can solve for b as follows:
a * b = [ 1 2
3 4 ] * [ x y
z w ]
= [ (1*x + 2*z) (1*y + 2*w)
(3*x + 4*z) (3*y + 4*w) ]
We want this product to equal the 2x2 zero matrix:
[ 0 0
0 0 ]
This means that each element in the product must be zero. We can start by setting the top-left element to zero:
1*x + 2*z = 0
This equation can be rearranged to solve for z:
z = (-1/2)*x
Next, we can set the top-right element to zero:
1*y + 2*w = 0
This equation can be rearranged to solve for w:
w = (-1/2)*y
Now, we can substitute these expressions for z and w into the bottom row of the product:
3*x + 4*(-1/2)*x = 0
3*y + 4*(-1/2)*y = 0
These equations simplify to:
x = 0
y = 0
So, we have found that the only solution for b that satisfies the equation ab = 0 is:
b = [ 0 0
0 0 ]
However, this matrix is not non-zero, as required by the original question. Therefore, there is no non-zero 2x2 matrix b that satisfies the equation ab = 0 for any non-zero 2x2 matrix a.
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can someone solve this for me please
Answer:
it is 3/5 or 1.666666666667
10/6 and 3/5 will still give the same answer
plssss mark brainliesttt
Answer:
3:5
Step-by-step explanation:
in order to get a job at a convenience store, you had to take a lie-detector test. you were asked a series of questions and you answered truthfully that you had never stolen from your employer or lied during an interview. unfortunately, you were not hired, because measurements recorded during these questions indicated that you were lying. what is the most likely explanation for this?
it is important to keep in mind that the results of a polygraph test should not be taken as absolute proof of deception or truthfulness, and that other factors should also be considered in evaluating a job applicant
While lie-detector tests (also known as polygraph tests) are sometimes used as part of a job application process, their reliability and accuracy are controversial and have been questioned by many experts in the field. The test measures physiological responses such as heart rate, blood pressure, and sweat gland activity in response to questions, and the results are interpreted by a trained examiner to determine whether the person is being truthful or deceptive.
However, there are several factors that can affect the results of a polygraph test, including the person's physiological state (such as anxiety or stress), the wording and interpretation of the questions, and the skills and biases of the examiner. False positives (indicating deception when the person is actually telling the truth) and false negatives (indicating truthfulness when the person is actually lying) are also possible.
In your case, it is possible that the lie-detector test gave a false positive result, indicating deception when you were actually telling the truth. There could be various reasons for this, such as anxiety or stress during the test, a misunderstanding or misinterpretation of the questions, or an error in the administration or interpretation of the test.
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a rectangular hole is to be cut in a wall for a vent. if the perimeter of the hole is 48 in. and the length of the diagonal is a minimum, what are the dimensions of the hole?
The hole will be of a radius of 7.63 inches when its perimeter is 48 inches.
The hole is in the form of a circle.
The perimeter of the circle = perimeter of the hole = 48 inches.
Let r be the radius of the vent,
The perimeter of the circle is known as the Circumference.
Circumference of the circle is given by \(2\pi r\)
So,
\(2\pi r = 48\\\\2*\frac{22}{7} *r =48\\\\r =\frac{48*7}{22*2} =7.63\)
The hole will be of a radius of 7.63 inches.
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a 50ft ladder is placed against a large building. the base of the ladder is resting on an oil spill, and it slips at the rate of 3 ft. per minute. find the rate of change of the height of the top of the ladder above the ground at the instant when the base of the ladder is 30 ft. from the base of the building.
The rate of change of the height of the top of the ladder above the ground at the instant when the base of the ladder is 30 ft. from the base of the building is -3 ft./min.
The rate of change of the height of the top of the ladder above the ground at the instant when the base of the ladder is 30 ft. from the base of the building is -3 ft./min. This rate takes into account the fact that the ladder is slipping at a rate of 3 ft./min. As the base of the ladder is slipping away from the building, the top of the ladder is moving down, hence the negative rate of change. This rate of change will remain the same until the base of the ladder has slipped the full 50 ft. from the base of the building. At this point, the rate of the change of the height of the top of the ladder will be 0, since the ladder will no longer be slipping.
The rate of change can be calculated as follows:
Rate of change = Change in height / Change in time
Change in height = Initial height - Final height
Initial height = 50 ft.
Final height = 50 ft. - 30 ft. = 20 ft.
Change in time = 30 ft. / 3 ft./min. = 10 min.
Rate of change = (50 ft. - 20 ft.) / 10 min. = -3 ft./min.
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who ever answers this will get 20 points and a 5 star rating
Seren draws a chick on graph paper using the scale shown below. The chick has a height of 5\,\text{cm}5cm5, start text, c, m, end text in the drawing.
Which of the following drawings best represents the height of the chick at the scale Seren chose?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
A chick on graph paper. A line labeled "10 units" shows the height of the chick. A 1-unit long scale is labeled, "half centimeter."
(Choice B)
B
A chick on graph paper. A line labeled "2.5 units" shows the height of the chick. A 1-unit long scale is labeled, "half centimeter."
(Choice C)
C
A chick on graph paper. A line labeled "5 units" shows the height of the chick. A 1-unit long scale is labeled, "half centimeter."
Answer:
its B
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Find the value r of in P(6 r)=120
The value of r in the expression P(6, r) = 120 is 3
How to determine the value of rTo find the value of r in P(6, r) = 120, we can use the formula for permutations:
P(n, r) = n! / (n - r)!
Substituting n = 6 and P(6, r) = 120, we get:
120 = 6! / (6 - r)!
Simplifying the right-hand side:
120 = 720 / (6 - r)!
Multiplying both sides by (6 - r)!:
120 × (6 - r)! = 720
Dividing both sides by 120:
(6 - r)! = 6
The only possible value of (6 - r) that gives a factorial of 6 is 3,
Since 3! = 3 × 2 × 1 = 6.
Therefore:
6 - r = 3
Solving for r, we get:
r = 6 - 3
r = 3
Therefore, the value of r in P(6, r) = 120 is 3.
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What is the equation of the line that passes through the point ( − 2 , − 1 ) and has a slope of 5/2 please do a step by step
Answer:
y = 5/2 x + 4
Step-by-step explanation:
Use point-slope form: y - y1 = m(x - x1)
The point (-2,-1) has an x1 of -2 and y1 of -1.
In point slope form, the equation would be y + 1 = 5/2 (x + 2)
(remember that a negative minus a negative is positive!!!)
y + 1 = 5/2 x + 5
y = 5/2x + 4
hope this helps!
Help please it´s urgent
Based on this graph, what is the solution to the system of equations?
Answers:
A. There are an infinite number of solutions.
B. There is no solution.
C. (1, 3)
D. (2, 3)
E. (3, 2)
Answer: E
Step-by-step explanation:
The solution means the intersection point, so in this case, it's (3, 2). The intersection point represents a value that is true for both equations, which is why it's considered the solution.
Question is in the attachment
Answer:
B is the answer in the first quadrant x is positive
Solve for x. Round your answer to the nearest tenth and type it in the blank without "x=".
Answer:
13.5
Step-by-step explanation:
We can solve for x using the side splitter theorem, assuming that the two triangles' bases are parallel.
\(\dfrac{\text{segment of left side}}{\text{left side}} = \dfrac{\text{segment of right side}}{\text{right side}}\)
↓ plugging in the lengths given in the diagram
\(\dfrac{4}{4 + 5} = \dfrac{6}{x}\)
\(\dfrac{4}{9} = \dfrac{6}{x}\)
↓ cross-multiplying
\(4x = 9(6)\)
\(4x = 54\)
↓ dividing both sides by 4
\(x = 13.5\)
state how many peaks you would expect for the distribution described.numbers of people with birthdays in a particular month ( January through December)A: none, B three, C One, D two
The peaks you would expect for the distribution described is A) None.
We would not expect any peaks in the distribution of numbers of people with birthdays in a particular month. This is because birthdays are evenly distributed throughout the year, and there is no reason to expect more people to be born in one month than another. Therefore, the distribution should be relatively flat, with no peaks or valleys.
To visualize this, imagine a histogram with the months on the x-axis and the number of people with birthdays in that month on the y-axis. Each bar should be roughly the same height, indicating that there are no peaks in the distribution.
In conclusion, we would expect no peaks in the distribution of numbers of people with birthdays in a particular month.
Hence Option A is correct.
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Consider this system of linear equations.
-2x - 5y = 12
3x - 4y = 5
Graph the system, and then mark its solution
Answer:
(-1, -2)
Step-by-step explanation:
what are the steps in order needed to solve
x/2-5=20
x/2-5=20
(x-5*2)/2=20
(x-10)/2=20
x-10=20*2
x-10=40
x=40-10
x=30
Answer:
x/2-5=20
x=20(2-5)
x=40-100
x= -60
Determine the following problem and write down the optimal points and the corresponding value of in each problem 1 Minimize f(x1, x2) = (x1 - 2)2 + (x2 + 1)2 subject to 2x1 + 3x2 - 4 = 0 2 Minimize f(x1,x2)=4xí + 9xż + 6x2 - 4x1 + 13 subject to X1 – 3x2 + 3 = 0 answers (according to textbook may be incorrect) -
The optimal point for problem 1 is (3/2, -5/2) with a corresponding value of 5/2.
The problem is to minimize the function f(x1, x2) = (x1 - 2)2 + (x2 + 1)2 subject to the constraint 2x1 + 3x2 - 4 = 0.
To find the optimal points, we need to solve the system of equations formed by setting the gradient of f equal to the gradient of the constraint. The gradients are:
∇f(x1, x2) = [2(x1 - 2), 2(x2 + 1)]
∇g(x1, x2) = [2, 3]
Setting them equal, we get the following equations:
2(x1 - 2) = 2
2(x2 + 1) = 3
Solving these equations simultaneously, we find x1 = 3/2 and x2 = -5/2. Substituting these values back into the objective function, we get the optimal value:
f(3/2, -5/2) = (3/2 - 2)2 + (-5/2 + 1)2 = 1/4 + 9/4 = 10/4 = 5/2
Therefore, the optimal point is (3/2, -5/2) and the corresponding value of f is 5/2.
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The distance around a meter crater is 9755 ft. Find the diameter of the crater. Use 22/7
Answer:
\(\frac{68285}{44}\) or \(1551.93181818...\)
Step-by-step explanation:
\(\frac{9755}{2(\frac{22}{7})}\\\\\)
are all natural numbers also an integer? (yes/no) [math 2+]
Solve the equation.
29= p x 20
p= __
Answer:
1.45
Step-by-step explanation:
1. divide both sides of the equation by 20 to get rid of the 2o on the right side
\(\frac{29}{20}\)= p x \(\frac{20}{20}\)
now u end up with 1.45=p
hope it helped
how to find central angle with radius and arc length
The central angle of a circle when you know the radius and arc length, you can use the formula:
Central angle (in radians) = Arc length / Radius
To find the central angle of a circle when you know the radius and arc length, you can use the formula:
Central angle (in radians) = Arc length / Radius
If you want the central angle in degrees, you can convert it using the fact that there are 2π radians in a full circle (360 degrees):
Central angle (in degrees) = (Arc length / Radius) * (180 / π)
Make sure to use consistent units for the arc length and radius, such as meters or centimeters, to obtain accurate results.
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Given the function below, what is the g(-8)?
g(x)=2x+1
Is -5/3 rational or irratuonal
urn i contains two red chips and four white chips: urn ii, three red and one white. a chip is drawn at random from urn i and transferred to urn ii. then a chip is drawn from urn ii. what is the probability that the chip drawn from urn ii is red?
The probability that the chip drawn from urn II is red is 4/15. Let's call the event that the chip drawn from urn I and transferred to urn II is red "R1", and the event that the chip drawn from urn II is red "R2".
The probability of event R1 is 2/6 = 1/3.
Given that event R1 has occurred, the number of red chips in urn II becomes 4, and the number of total chips becomes 4+1=5. The probability of event R2 is 4/5 = 4/5.
The probability of both events occurring is (1/3) * (4/5) = 4/15.
So, the probability that the chip drawn from urn II is red is 4/15.
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Identify the quotient and remainder when 1050 is divided by 13.
Answer:80 R:10
Step-by-step explanation:
1050 divided by 13 is 80 R 10
Solve by factoring Show all your steps
-x²-2x=0
xả +5x +1= 5x+2
x²-4x-8--6x
3x² +12=-21x-24
Solve by completing the square. Show all your steps.
x² - 4x = 32
x²-11 = -4x
Solve by using the Quadratic Formula. Show all your steps.
16x² +8x-8= 4
-x²-3x-13 = -2x²
Answer: To solve -x²-2x=0 by factoring, we can factor out x from the left-hand side:
x(-x-2) = 0
This equation is true if either x = 0 or -x-2 = 0. Solving for x in the second equation:
-x-2 = 0
-x = 2
x = -2
Therefore, the solutions to the equation -x²-2x=0 are x = 0 and x = -2.
To solve x²-4x-8--6x by factoring, we can simplify it first by combining like terms:
x²-10x-8 = 0
To factor this quadratic, we need to find two numbers that multiply to -8 and add to -10. These numbers are -2 and -8, so we can write:
x²-2x-8x-8 = 0
(x²-2x) - (8x+8) = 0
x(x-2) - 8(x+1) = 0
(x-8)(x-2) = 0
Therefore, the solutions to the equation x²-4x-8--6x are x = 8 and x = 2.
To solve 3x² +12=-21x-24 by completing the square, we first need to move all the terms to one side:
3x² + 21x + 36 = 0
Next, we divide both sides by 3 to simplify the coefficient of x²:
x² + 7x + 12 = 0
To complete the square, we need to add and subtract (7/2)² = 49/4 inside the parentheses:
x² + 7x + 49/4 - 49/4 + 12 = 0
(x + 7/2)² = 1/4
Taking the square root of both sides and solving for x, we get:
x + 7/2 = ±1/2
x = -7/2 ± 1/2
Therefore, the solutions to the equation 3x² +12=-21x-24 by completing the square are x = -4 and x = -3.
To solve -x²-3x-13 = -2x² by using the quadratic formula, we first need to move all the terms to one side:
-x² + x - 13 = 0
Next, we identify the coefficients a, b, and c:
a = -1, b = 1, c = -13
Substituting these values into the quadratic formula:
x = (-b ± sqrt(b² - 4ac)) / 2a
x = (-1 ± sqrt(1² - 4(-1)(-13))) / 2(-1)
x = (-1 ± sqrt(1 + 52)) / (-2)
x = (-1 ± sqrt(53)) / (-2)
Therefore, the solutions to the equation -x²-3x-13 = -2x² by using the quadratic formula are approximately x = -3.25 and x = 4.25.
Step-by-step explanation:
NEED HELP ASAP!!!!!!!!!!!!!!!!!!
Answer:
I dont. understannnnd
Three of the angles of a quadrilateral are each 95º. Find the fourth angle.
Answer:
first angle is 95
second angle is 95
third angle is 95
the sum of angle in a quadrilateral is 360
therefore 95+95+95°=285
to get the fourth angle=360-285=75
therefore the fourth angle is 75°
What is differential equations by separation of variables?
Differential equations by separation of variables is a technique used to solve certain types of first-order ordinary differential equations.
The method involves separating the variables on both sides of the equation and integrating each side separately. This allows us to isolate the dependent and independent variables, resulting in a simpler equation that can be solved to find the solution.
In the process of separation of variables, the differential equation is rearranged so that all terms containing the dependent variable are on one side, while the terms involving the independent variable are on the other side. Then, by integrating both sides with respect to their respective variables, we can obtain an equation in which the variables are separated. The resulting equation can often be solved algebraically to find the solution.
This method is particularly useful for solving first-order differential equations in which the variables can be easily separated. It provides a systematic approach to finding solutions and is widely used in various fields of science and engineering to model and analyze dynamic systems.
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Gregory awoke at 5:23 AM. He went to sleep at 10:35 PM. How long did he sleep?
Answer:
6hr 48mins
Step-by-step explanation:
10:35 + 1hr = 11:35
11:35 + 1hr = 12:35
12:35 + 1hr = 1:35
1:35 + 1hr =2:35
2:35 + 1hr = 3:35
3:35 + 1hr = 4:35
4:35 + 1hr = 5:35
5:35 - 12min = 5:23
1 + 1 + 1 + 1 + 1 + 1 + = 7hrs - 12 = 6hr 48mins
Answer:
6 hours and 48 minutes
Step-by-step explanation:
10:35 to 4:35 is 6 hours. For 4:35 to 5:23, you can do 5:23 in minutes (323) and 4:35 in minutes (275) and then do 323-275, which is 48 minutes. So Gregory slept for 6 hours and 48 minutes.
Which equation can be represented using the number line?
A number line going from to 1 in increments of one-eighths. Arrows go from each mark on the line to the next up to three-fourths.
Three-fourths divided by one-eighth = 6
One-eighth divided by three-fourths = 6
6 divided by three-fourths = one-eighth
6 divided by one-eighth = three-fourths
Answer:
a
Step-by-step explanation:
The equation which can be represented using the picture displayed on the number line is Three-fourths divided by one-eighth = 6
The distance between each marked line on the number line is 1/8The length of the number line is 3/4The number of steps or marked points can be obtained using the relation :
Length of line ÷ Distance between each marked points
3/4 ÷ 1/8 = 6
Therefore, the expression which represents the scenario on the number line is 3/4 ÷ 1/8 = 6
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What is the Integral Calculator with Steps for
An integral calculator with steps is a tool that allows you to compute integrals of functions and provides a step-by-step solution to the problem.
This type of calculator is especially useful for students learning calculus, as it allows them to see how the integral is computed and helps them to understand the underlying concepts and techniques.
To use an integral calculator with steps, you typically enter the function you want to integrate and the limits of integration. The calculator then applies a variety of techniques to compute the integral, such as substitution, integration by parts, partial fractions, or trigonometric substitutions.
The output of the calculator usually includes the solution to the integral, as well as a detailed explanation of the steps involved in the computation. Some calculators may also provide graphs of the function and the area under the curve.
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