Therefore , the solution of the given problem of unitary method comes out to be any other restrictions or criteria would determine how many possible methods there are to shade 3/8 of the square.
Definition of a unitary method.Use the tried-and-true fundamental method, the actual variables, and any relevant information gleaned from general and specific questions to complete expression the assignment. Customers may be given another chance to taste the products in response. If these adjustments don't happen, we'll lose out on significant advancements in our understanding of programmes.
Here,
The phrase "shade 3/8 of the square" might be interpreted in a variety of ways, which might result in various solutions. Here are a few potential explanations and their accompanying responses:
1) The most straightforward interpretation is to shade 3/8 of the square as a single, continuous area.
There are countless ways to shade precisely 3/8 of the square in this interpretation.
2) Discrete Interpretation: Using a grid or discrete cells to shade 3/8 of the square.
The number of alternative ways relies on the size of the grid or the number of discrete cells if the square is divided into a grid or cells and the requirement is to shade exactly 3/8 of the cells. F
3) Interpretation based on constraints: Shading 3/8 of the square with specific restrictions.
In conclusion, the exact interpretation and any other restrictions or criteria would determine how many possible methods there are to shade 3/8 of the square. It is challenging to estimate the precise number of potential solutions in the absence of more details.
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1 1/4 - 1 1/5
Pls answer it today!
Answer:
fraction form: 1/20
decimal form:0.05
Kennedy has $0.81 worth of pennies and nickels. She has 9 more nickels than pennies. Write a system of equations that could be used to determine the number of pennies and the number of nickels that Kennedy has. Define the variables that you use to write the system
The system of equations that could be used to determine the number of pennies and the number of nickels that Kennedy has is 0.01b + 0.05d = 0.81
b = 9d
The variables used to write the system of equation is Number of pennies = b
Number of nickels = d
Write the equations that could be used to determine the number of pennies and nickels?Let
Number of pennies = b
Number of nickels = d
0.01b + 0.05d = 0.81
b = 9d
Therefore, the variables are b for pennies and d for nickels.
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A survey stopped men and women at random to ask them where they purchased groceries, at a local grocery store or online.
What percent of the people surveyed shop at a local grocery store? Round your answer to the nearest whole number percent.
63% of people Surveyed shop at a local grocery store.
What is percentage ?A number can be expressed as a fraction of 100 using a percentage. The word "%" stands for percentage.
For instance, 50% represents 50 out of 100, or 0.5 in decimal form. Frequently, proportions, rates, and changes in quantity are represented as percentages.
In many aspects of daily life, including the calculation of sales tax, loan interest rates, and price discounts, percentages are frequently utilised. They are also employed in many academic disciplines, including math, physics, economics, and statistics.
What are proportions ?The equality of two ratios is referred to as a percentage in mathematics. A ratio is a comparison of two amounts or values;
it is frequently stated as a fraction.
For instance, "3/5" can be used to represent the proportion of boys to girls in a classroom.
An assertion of equality between two ratios is a proportion.
For instance, the ratio of males to girls is the same as the ratio of boys to all pupils,
hence the sentence "3/5 = 6/10" is a proportion.
Analysis: -
people surveyed at store = 45
total no. of people = 72
the
Percent of peopla = 45/72 x100
= 0.625 × 100
= 62.5 %
= 63 %
63% of people Surveyed shop at a local grocery store.
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Find the surface Area
Math step by step Answer
(a) The total surface area of the triangular prism is 560 in².
(b) The surface area of the cuboid is 944 ft².
(c) The surface area of the cylinder is 678.58 in².
What is the surface area of the cuboid, cylinder and prism?Cuboid;
The surface area of the cuboid is calculated as;
S.A = 2(12 x 16 + 12 x 10 + 16 x 10)
S.A = 944 ft²
Cylinder:
The surface area of the cylinder is calculated as follows;
S.A = 2π x 6 (6 + 12)
S.A = 678.58 in²
The surface area of a triangular prism can be calculated by summing the areas of its individual faces.
A triangular prism has three rectangular faces and two triangular faces.
The formula for the surface area of a triangular prism is:
Surface Area = Area of triangular faces + Area of rectangular faces
To calculate the area of a triangular face, we can use the formula for the area of a triangle:
Area of a triangle = (base × height) / 2
Given that S₁ = 8 in, S₂ = 12 in, S₃ = 8 in, and the length between the two triangular faces is 18 in, we can proceed with the calculations.
The area of the triangular face with dimensions S₁ = 8 in and S₂ = 12 in is:
Area of triangular face 1 = (8 in × 12 in) / 2 = 48 in²
The area of the triangular face with dimensions S₂ = 12 in and S₃ = 8 in is:
Area of triangular face 2 = (12 in × 8 in) / 2 = 48 in²
The area of the triangular face with dimensions S₃ = 8 in and S₁ = 8 in is:
Area of triangular face 3 = (8 in × 8 in) / 2 = 32 in²
Now, let's calculate the area of the rectangular faces.
Area of rectangular face 1 = 18 in × 12 in = 216 in²
Area of rectangular face 2 = 18 in × 12 in = 216 in²
Finally, we can sum up all the areas to get the total surface area of the triangular prism:
Surface Area = Area of triangular faces + Area of rectangular faces
Surface Area = 48 in² + 48 in² + 32 in² + 216 in² + 216 in² = 560 in²
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Part 1: Hitting a golf ball into a tower? While on the golf course last weekend Marc hit into the rough, landing the ball behind a tall tree. To get out of the scenario, his best option was to hit the ball high enough so it goes over the tree and hopefully comes down in the fairway for his next shot. So with a mighty swing, he hit the ball into the air and was surprised to see it hit near the top of a 300 foot tall tower that he had not noticed. The formula for this shot is h(x) = -16xsquared + 120x, where h is the height of the ball and x is the number of seconds the ball is in the air. 1. How could Marc mathematically try to prove that he hit the ball near the top of the tower?
Since the maximum height h is equal to 225 ft which is close to 300 ft we can conclude that Marc hit the ball near the top of the tower.
The maximum point of the quadratic function :The concept used in this problem is the quadratic function and finding the maximum or minimum value of a quadratic function.
The x-coordinate of the vertex, which is the highest or lowest point on the graph, can be found using the formula:
=> x = -b / 2a
Here we have
The formula for the shot is h(x) = -16xsquared + 120x,
Where h is the height of the ball and x is the number of seconds the ball is in the air.
To mathematically prove that Marc hit the ball near the top of the tower, find the maximum height reached by the ball and compare it with the height of the tower.
To find the maximum height reached by the ball, find the vertex of the parabolic function h(x).
As we know
The x-coordinate of the vertex is given by:
x = -b / (2a)
Where a and b are the coefficients a and b
In this case, a = -16 and b = 120, so we have:
x = -120 / (2(-16)) = 3.75 seconds
The maximum height reached by the ball is given by:
h(3.75) = -16(3.75)² + 120(3.75) = 225 feet
To prove that Marc hit the ball near the top of the tower, we need to compare the maximum height reached by the ball (225 feet) with the height of the tower (300 feet).
Since the ball hit near the top of the tower, we can assume that it was close to the highest point of the tower when it was hit.
Therefore,
Since the maximum height h is equal to 225 ft which is close to 300 ft we can conclude that Marc hit the ball near the top of the tower.
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Find three consecutive integers such that 4 times the first added to the third is 92
Solve quickly Thanks
The three consecutive integers are 18, 19, and 20.
What is consecutive integers?Consecutive integers are integers that follow each other in order, without any gaps, and differ by 1. For example, 3, 4, and 5 are consecutive integers because they follow each other in order and differ by 1.
According to question:Let's assume that the three consecutive integers are x, x+1, and x+2. Then, according to the problem statement:
4x + (x+2) = 92
Simplifying this equation, we get:
5x + 2 = 92
Subtracting 2 from both sides, we get:
5x = 90
Dividing both sides by 5, we get:
x = 18
Therefore, the three consecutive integers are 18, 19, and 20. We can check that these integers indeed satisfy the condition given in the problem:
4 times the first integer is 4*18 = 72, and when we add the third integer 20 to it, we get 72 + 20 = 92, as required.
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A triangle is shown with its exterior angles. The interior angles of the triangle are angles 2, 3, 5. The exterior angle at angle 2 is angle 1. The exterior angle at angle 3 is angle 4. The exterior angle at angle 5 is angle 6. Which statements are always true regarding the diagram? Select three options. m∠5 + m∠3 = m∠4 m∠3 + m∠4 + m∠5 = 180° m∠5 + m∠6 =180° m∠2 + m∠3 = m∠6 m∠2 + m∠3 + m∠5 = 180°
The statements that are always true regarding the given diagram of the triangle are m∠2 + m∠3 = m∠6, m∠3 + m∠4 + m∠5 = 180°, m∠5 + m∠6 = 180°. Therefore, options (4) and (5) are not always true.
What is an exterior angle?An exterior angle of a polygon is an angle that forms a linear pair with an interior angle of the polygon. In other words, it is an angle formed by extending one of the sides of the polygon. For any given vertex of the polygon, the exterior angle is the angle between a line containing the side of the polygon next to the vertex and a line that is an extension of the adjacent side. The measure of an exterior angle is equal to the sum of the measures of its corresponding remote interior angles (interior angles that are not adjacent to the exterior angle). The sum of the exterior angles of any polygon, including a triangle, is always equal to 360 degrees. Exterior angles are used in a variety of geometric proofs and constructions.
We know that the sum of all the interior angles of any triangle is 180 degrees. Therefore, we can use this fact to determine which statements are always true regarding the given diagram.
Now, we can use the following relationships between the interior and exterior angles of a triangle:
Exterior angle = Sum of interior angles adjacent to it
Interior angle = 180 - Exterior angle
Using these relationships, we can determine which statements are always true:
m∠5 + m∠3 = m∠4: This is true because the exterior angle at angle 3 is equal to the sum of angles 3 and 4, and the exterior angle at angle 5 is equal to the sum of angles 5 and 6. Therefore, m∠5 + m∠3 + m∠6 = m∠4 + m∠3, which simplifies to m∠5 + m∠3 = m∠4.
Given m∠3 + m∠4 + m∠5 = 180°: This is true because the sum of all the interior angles of a triangle is 180 degrees.
m∠5 + m∠6 = 180°: This is not always true because sum of all the angles should be 180. It is true in this specific case because angle 1 is a straight angle, which means that m∠5 + m∠6 = 180°. However, in general, this statement is not always true.
m∠2 + m∠3 = m∠6: This is true because the exterior angle at angle 2 is equal to the sum of angles 2 and 6. Therefore, m∠2 + m∠3 = m∠6.
Given m∠2 + m∠3 + m∠5 = 180°: This is may not always true. It is true in this specific case because angle 1 is a straight angle, which means that m∠2 + m∠3 + m∠5 = 180°. However, in general, this statement is not always true.
Therefore, the three statements that are always true from the diagram are:
m∠5 + m∠3 = m∠4
m∠3 + m∠4 + m∠5 = 180°
m∠2 + m∠3 = m∠6
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Here is another question DUE SOON PLEASE ASAP
Question 5(Multiple Choice Worth 1 points)
(08.07 MC)
The table describes the quadratic function p(x).
x p(x)
−1 10
0 1
1 −2
2 1
3 10
4 25
5 46
What is the equation of p(x) in vertex form?
p(x) = 2(x − 1)2 − 2
p(x) = 2(x + 1)2 − 2
p(x) = 3(x − 1)2 − 2
p(x) = 3(x + 1)2 − 2
The equation of p(x) in vertex form is;
p(x) = 9.67(x + 1.04)² - 10.25
The closest answer choice is:
p(x) = 3(x - 1)² - 2, which is not correct.
What is vertex?In the context of a quadratic function, the vertex is the highest or lowest point on the graph of the function. It is the point where the parabola changes direction. The vertex is also the point where the axis of symmetry intersects the parabola.
To find the vertex form of the quadratic function p(x), we need to first find the vertex, which is the point where the function reaches its maximum or minimum value.
To find the vertex, we can use the formula:
x = -b/2a, where a is the coefficient of the x² term, b is the coefficient of the x term, and c is the constant term.
Using the table, we can see that the highest value of p(x) occurs at x = 5, and the value is 46.
We can then use the formula to find the vertex:
x = -b/2a = -5/2a
Using the values from the table, we can set up two equations:
46 = a(5)² + b(5) + c
1 = a(0)² + b(0) + c
Simplifying the second equation, we get:
1 = c
Substituting c = 1 into the first equation and solving for a and b, we get:
46 = 25a + 5b + 1
-20 = 5a + b
Solving for b, we get:
b = -20 - 5a
Substituting b = -20 - 5a into the first equation and solving for a, we get:
46 = 25a + 5(-20 - 5a) + 1
46 = 15a - 99
145 = 15a
a = 9.67
Substituting a = 9.67 and c = 1 into b = -20 - 5a, we get:
b = -20 - 5(9.67) = -71.35
Therefore, the equation of p(x) in vertex form is:
p(x) = 9.67(x - 5)² + 1
Simplifying, we get:
p(x) = 9.67(x² - 10x + 25) + 1
p(x) = 9.67x² - 96.7x + 250.85 + 1
p(x) = 9.67x² - 96.7x + 251.85
Rounding to the nearest hundredth, we get:
p(x) = 9.67(x - 5² + 1 = 9.67(x + 1.04)² - 10.25
Therefore, the answer is:
p(x) = 9.67(x + 1.04)² - 10.25
The closest answer choice is:
p(x) = 3(x - 1)² - 2, which is not correct.
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Find the area
(Please do not guess )
Answer:
A = 50.24 m²
Step-by-step explanation:
A = π r²
d = 8 m
r = d/2
r = 8/2
r = 4 m
A = 3.14 × (4)² m
A = 3.14 × 16 m
A = 50.24 m²
Answer:
50.24 m²
Step-by-step explanation:
Diameter = 8 m
Formula
Radius ( r ) = Diameter/2
r = 8/2
r = 4 m
Formula
Area of circle = π r²
Note
The value of π is 3.14 ( approximately )
Area of circle
= 3.14 × 4²
= 3.14 × 4 × 4
= 3.14 × 16
= 50.24 m²
Hence,
The area of circle is 50.24 m².
I need help I haven’t been here a week and I don’t understand my homework
Solve either
Answer: you need to add
Step-by-step explanation: I would ask your teacher to help you understand the lesson.
the area of a rectangle is 1 1/2 square feet.the width of the rectangle is 3/5 feet.what is the length of the rectangle
If the area of a rectangle is 1 1/2 square feet and the width of the rectangle is 3/5 feet then the length of the rectangle is 5/2 square feet.
How can the length of the rectangle be calculated?We can use the formula for the area of a rectangle, which is: Area = (length x width) We know that the area of the rectangle is 3/2 square feet, and we also know that the width of the rectangle is 3/5 feet. So we can plug in these values and solve for the length:3/2 sq. ft. = length x 3/5 ft.
To solve for the length, we can start by multiplying both sides of the equation by the reciprocal of 1 1/2 =3/5:
(3/2 sq. ft.) / (3/5 ft.) = length
(3/2 sq. ft.) x (5/3 ft.) = length
(3 x 5) / (2 x 3) sq. ft. = length
15/6 sq. ft. = length
5/2 sq. ft. = length
Therefore, the length of the rectangle is 5/2 square feet.
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what is the weight of a 38kg child
Calculate employer's total FUTA and SUTA tax. As TCLH Industries operates in North Carolina, assume a SUTA tax rate of 1.2% and a taxable earnings threshold of $26,000. Current period taxable earnings for FUTA and SUTA taxes are the same as those for FICA taxes. Year-to-date taxable earnings for FUTA and SUTA taxes, prior to the current pay period, are as follows: Zachary Fox: $0 Calvin Bell: $20,478.57 David Alexander: $198,450 Michael Sierra: $117,600
the employer's total FUTA and SUTA tax is: $2,928
What is tax rate?
The percentage of income that a person or corporation must pay or withhold as taxes is known as the effective tax rate.
$7,000 (for Zachary Fox) + $7,000 (for Calvin Bell) + $7,000 (for David Alexander) + $7,000 (for Michael Sierra) = $28,000
The FUTA tax for this amount is:
$28,000 × 6.0% = $1,680
Therefore, the total taxable earnings subject to SUTA tax is:
$26,000 (for each employee) × 4 (number of employees) = $104,000
The SUTA tax for this amount is:
$104,000 × 1.2% = $1,248
The year-to-date FUTA and SUTA taxes are not given explicitly, so we cannot calculate the current period FUTA and SUTA taxes.
Therefore, the employer's total FUTA and SUTA tax is:
$1,680 (FUTA tax) + $1,248 (SUTA tax) = $2,928
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Help fast please, it should be asap please
The function has a vertical asymptote at x = 1, x-intercepts are x = 1 and x = 5, hole at x = 5 and horizontal asymptote is y = 0.
Define rational functionA rational function is a function that can be expressed as the ratio of two polynomial functions. In other words, it is a function of the form f(x) = p(x)/q(x), where p(x) and q(x) are polynomial functions and q(x) is not equal to zero for any value of x.
To plot the rational function f(x) = (x² - 6x + 5)/(-x + 1)
Vertical asymptote: The denominator of the function (-x + 1) is equal to zero when x = 1.
Therefore, there is a vertical asymptote at x = 1.
x-intercept: To find the x-intercept, we set the numerator equal to zero and solve for x:
x² - 6x + 5 = 0
This quadratic equation can be factored as:
(x - 5)(x - 1) = 0
Therefore, the x-intercepts are x = 1 and x = 5.
y-intercept: To find the y-intercept, we set x equal to zero:
f(0) = (0² - 6(0) + 5)/(-0 + 1) = 5
Therefore, the y-intercept is (0, 5).
Hole: The function has a hole at x = 5 because both the numerator and the denominator become zero at x = 5.
Horizontal asymptote: To find the horizontal asymptote, we need to compare the degrees of the numerator and the denominator. The degree of the numerator is 2 and the degree of the denominator is 1, so the horizontal asymptote is y = 0.
Now, we can plot the function by choosing some values of x and calculating the corresponding values of y:
x y = f(x)
-1 4
0 5
0.5 3.25
1 undefined
2 -1
Image is attached below.
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The area of a rectangular room is 750 square feet. The width of the room is 5 feet less than the length of the room. Which equations can be used to solve for y, the length of the room? Select three options. y(y + 5) = 750 y2 – 5y = 750 750 – y(y – 5) = 0 y(y – 5) + 750 = 0 (y + 25)(y – 30) = 0
Answer:
y² -5y = 750750 -y(y -5) = 0(y +25)(y -30) = 0Step-by-step explanation:
You want three equations that can be used to solve for the length (y) of a room that is whose width is 5 feet less than its length and whose area is 750 square feet.
AreaThe area of the room is the product of its length and width. We are given that the length is y, so the width is (y-5) and that product is ...
A = LW
750 = y(y -5)
This equation can be rearranged into several different forms:
y² -5y = 750 . . . . . . . multiply it out
750 -y(y -5) = 0 . . . . . subtract the right side expression
(y +25)(y -30) = 0 . . . . factor it
Express answers in terms of pi.
1. The radius of a cylinder is 10; the height is 2. Find:
a. circumference of the base
b. area of the base
c. L.A.
d. T.A,
e. V
2. Repeat Excercise 1, using a cylinder in which r = 2 and h = 10.
a. b. c. d. e.
Answer:
1 b
2.c
ythis the best choice
The circumference and the areas and the volumes are calculated below
Calculating the circumference and the areasFor a cylinder with a radius of 10 and a height of 2:
a. The circumference of the base is 2πr = 2π(10) = 20π.b. The area of the base is πr² = π(10)² = 100π.c. The lateral area is 20π(2) = 40π.d. The total surface area is the sum of the lateral area and the areas of the two bases. 2πr² + 2πrh = 2π(10)² + 2π(10)(2) = 400π + 40π = 440π.The volume of the cylinder is given by the formula V = πr²h = π(10)²(2) = 200π.For a cylinder with a radius of 2 and a height of 10:
a. The circumference of the base is 2πr = 2π(2) = 4π.b. The area of the base is πr² = π(2)² = 4π.c. The lateral area is 4π(10) = 40π.d. The total surface area is 2πr² + 2πrh = 2π(2)² + 2π(2)(10) = 8π + 40π = 48π.e. The volume of the cylinder is given by the formula V = πr²h = π(2)²(10) = 40π.Read more about circumference at
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In Math town,60% of the population are males and 30% of them have brown eyes. Of the total math town population 28 % have brown eyes. What percentage of the females in math town have brown eyes?
A) 20%
B) 24%
C) 25%
D) 28%
Therefore , the solution of the given problem of percentage comes out to be D) 28% is the right response.
What is percentage?The shorthand "a%" is used in statistics to represent a number or metric that may be expressed as a percentage of 100. Additionally strange spelling include "pct," "pct," as "pc." The approach that is most frequently employed for this is the percentage symbol ("%"). Any hints or set proportions of any part for the total are also unknown. Since numbers commonly add up to 100, they are effectively integers.
Here,
According to the facts provided, 30% of the male population and 60% of the people in Math Town are male.
This suggests that between 30% and 60% of people have brown eyes.
Let's figure out what proportion of the entire population is equal to 30% of 60%:
=> 30% of 60% = (30/100) * (60/100)
=> 0.3 * 0.6
=> 0.18 or 18%
Therefore, brown eyes are present in Math Town's overall population of 18%.
Since the only other gender listed is females and we are aware that 18% of the population as a whole has brown eyes, we can infer that 18% of women also have brown eyes.
Therefore, D) 28% is the right response.
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Your Equifax score is 650, Transunion at 600, and Experian at 635, what is your mean score? Round to the nearest whole point.
The mean score is 628.
What is mean?
In statistics, the mean is a measure of central tendency, which represents the average value of a data set. It is also known as the arithmetic mean and is calculated by adding up all the values in the data set and then dividing by the number of observations in the data set. The formula for calculating the mean is:
mean = (sum of all values) / (number of observations)
Now,
To find the mean score, you need to add up the three scores and then divide by 3:
(650 + 600 + 635) / 3 = 628.33
Rounding to the nearest whole point, the mean score is 628.
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An average newspaper contains at least 9 pages and at most 46 pages. How many newspapers must be collected to be certain that at least two newspapers have the same number of pages?
Which one is the correct choice?
Therefore, the correct response From these integral is option D is.
``` 10 + ∫₅¹ R(t) dt
What is an integral?An integral is a mathematical construct in mathematics that can be used to represent an area or a generalization of an area. It computes volumes, areas, and their generalizations. Computing an integral is the process of integration.
Integration can be used, for instance, to determine the area under a curve connecting two points on a graph. The integral of the rate function R(t) with respect to time t can be used to describe how much water is present in a tank.
The following equation can be used to determine how much water is in the tank at time t = 5 if there are 10 gallons of water in the tank at time t = 1.
``` 10 + ∫₅¹ R(t) dt
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Two cars leave the same parking lot, one heading north and the other east. After several minutes, the eastbound car traveled 5 kilometers. If the two cars are now a straight-line distance of 13 kilometers apart, how far has the northbound car traveled?
Based on the information given, we can use the Pythagorean theorem to determine the distance traveled by the northbound car.
Let's denote the distance traveled by the northbound car as 'x' kilometers.
According to the Pythagorean theorem, in a right triangle, the square of the hypotenuse (the straight-line distance between the two cars) is equal to the sum of the squares of the other two sides (the distances traveled by each car).
In this case, the northbound car's distance is 'x' kilometers and the eastbound car's distance is 5 kilometers.
So we have the equation:
x^2 + 5^2 = 13^2
Simplifying, we get:
x^2 + 25 = 169
Subtracting 25 from both sides, we get:
x^2 = 144
Taking the square root of both sides, we get:
x = 12
So the northbound car has traveled 12 kilometers.
Answer: 12 km
Step-by-step explanation:
As seen in the figure the distance that the northbound car traveled equals to the distance from point N to the parking lot.
pythagorean: [tex]\sqrt{13^{2}-5^{2} }=12km[/tex]
A pair of dice are tossed twice.
Find the probability that the first roll is a total of at least 3 and the second roll is a total of at least 12
The probability is 35/1296, or approximately 0.027 or 2.7%.
What is the probability?
Probability is the study of the chances of occurrence of a result, which are obtained by the ratio between favorable cases and possible cases.
The total number of outcomes when rolling a pair of dice is 36 (since each die has 6 faces and can result in 6 possible outcomes).
To find the probability of the first roll resulting in a total of at least 3, we need to determine the favorable outcomes. The only combination that does not result in a total of at least 3 is when both dice show a 1, which is only one possible outcome. So, there are 35 favorable outcomes (36 total outcomes - 1 unfavorable outcome) for the first roll.
To find the probability of the second roll resulting in a total of at least 12, we need to determine the favorable outcomes. The only combination that results in a total of 12 is when both dice show a 6, which is only one possible outcome. So, there is only 1 favorable outcome for the second roll.
Therefore, the probability of the first roll resulting in a total of at least 3 and the second roll resulting in a total of at least 12 is:
(35/36) * (1/36) = 35/1296
Hence, the probability is 35/1296, or approximately 0.027 or 2.7%.
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Help me this is a Screensho
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Answer:
21.8 - 0.1 = 21.7
21.7 is 0.1 less than 21.8
Answer:
The answer is 21.7
Step explanation
21.8 - 0.1 = 21.7
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A certain disease has an incidence rate of 0.8%. If the false negative rate is 4% and the false positive rate is 2%, compute the probability that a person who tests positive actually has the disease.
The probability that a person who tests positive actually has the disease is ≈0.0158.
what is probability?Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is. Probability can range from 0 to 1, with 0 denoting an impossibility and 1 denoting a certainty. 1 is the probability of every event in a sample space.
For instance, when we flip a coin, there are just two possible results: Head OR Tail. (H, T). However, if two coins are tossed, there are four possible results: (H, H), (H, T), (T, H), and (T, T).
we solve the given question using BAYE's theorem:
Bayes' Theorem states that the conditional probability of an event, based on the occurrence of another event, is equal to the likelihood of the second event given the first event multiplied by the probability of the first event.
P(disease/positive)= [tex]\frac{P(disease)P(positive/disease)}{P(disease)P(positive/disease)+P(no disease)P(positive/disease)}[/tex]
P(disease/positive)= [tex]\frac{(0.008)(0.04)}{(0.008)(0.04)+(0.992)(0.02)}[/tex] ≈ 0.0158
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Find the Area of the figure below, composed of a rectangle and a semicircle. The radius of the circle is shown. Round to the nearest tenths place.
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Answer:
The area of the shape is 56 to the nearest tenth
Step-by-step explanation:
r=d/2
d=2r
d=2×3=6
Area of shape=Area of rectangle+Area of semi circle
A=L×B+1/2pir²
A=7×6+1/2×22/7×3²
A=42+11/7×9
A=42+99/7
A=42+14.14
A=56.14
A=56 to the nearest tenth
find the value of x
Therefore, the height of the right triangle is 9.6 units.
What is triangle?A triangle is a geometric figure that consists of three line segments that intersect at three endpoints, called vertices. The line segments are called sides, and the vertices where they intersect are called angles. A triangle can be classified based on the length of its sides and the measure of its angles. Triangles are fundamental to many areas of mathematics and physics, and they have a wide range of applications in real-life situations, such as in architecture, engineering, and surveying.
Here,
To find the height of a right triangle, we can use the formula:
h = (a * b) / c
where "a" and "b" are the lengths of the legs of the right triangle, and "c" is the length of the hypotenuse.
In this case, we have a right triangle with legs of lengths 12 units and 16 units, and a hypotenuse of length 20 units. Therefore, we can substitute these values into the formula and solve for the height:
h = (12 * 16) / 20
h = 192 / 20
h = 9.6
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Que alguien me resuelva este ejercicio
A particular sound wave can be graphed using the function y= -1sin 5x. Find the period of the function
Answer:
The period of a sine function of the form y = a sin bx is given by:
period = (2π) / |b|
In this case, the function is y = -1 sin 5x, which can be rewritten as y = -sin(5x). So, we can see that b = 5.
Substituting b = 5 into the formula, we get:
period = (2π) / |5|
period = π / 5
Therefore, the period of the function is π/5.
Find the area of the shaded region. The graph depicts the standard normal distribution of bone density scores with mean 0 and standard deviation 1.
Answer: 0.6954
Step-by-step explanation:
To find the area between two z scores, in this case P(-0.82<z<1.29), we can either use a z score calculator or a standard normal distribution table, which I will use for this.
The probability of P(-0.82<z<1.29) = P(z<1.29)-(z<-0.82).
To find P(z<2.01), we use a positive z score standard normal distribution table and find that P(z<1.29)=0.9015
Using a negative z score standard normal distribution table, we can find that (z<-0.82)=0.2061.
So, P(-0.82<z<1.29) = P(z<1.29)-(z<-0.82)=0.6954.
Solve: 24b=6
A b=1/6
B b=1/2
C b=1/3
D b=1/4
Answer:
D. b=1/4
Step-by-step explanation: