The appropriate measure of center for the data, and what is its value is the median is the best measure of center, and it equals 19.
What are the mean and median?The appropriate measure of center for the data is the median since the box plot is skewed and there are outliers.
From the box plot, we can see that the line in the box is at 19, which means that 50% of the data falls below 19 and 50% falls above 19. Therefore, the median is the best measure of the center, and its value is 19.
Thus, the correct option is c. The median is the best measure of the center, and it equals 19.
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A jacket at the store is being offered at a 30% discount. If the original price of the jacket is x, which answer choice shows an expression that represents the discounted price of the jacket?
The expression that represents the discounted price of the jacket is 0.7x. This means that the discounted price is 70% of the original price, or equivalently, that the discount reduces the price of the jacket by 30%.
What is original price?
In order to determine the sales price, the value of the discount would be subtracted from the original price.
When an item is offered at a discount, the discounted price is usually calculated by subtracting the discount from the original price. In this case, since the discount is 30%, we can find the amount of the discount by multiplying the original price x by 0.3. This gives us 0.3x, which is the amount of money that is being discounted from the original price. To find the discounted price, we subtract this amount from the original price, which gives us:
x - 0.3x = 0.7x
So, the expression that represents the discounted price of the jacket is 0.7x. This means that the discounted price is 70% of the original price, or equivalently, that the discount reduces the price of the jacket by 30%.
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The equation y = 2x + 3
represents the cost y (in dollars) of mailing a package that weighs x pounds.
a. Use a graph to estimate how much it costs to mail
the package.
b. Use the equation to find exactly how much it costs
to mail the package.
Thus, the price for the to mail the package of weight 1.126 lb is found as: $5.25.
Explain about the slope intercept form:Simply put, the slope-intercept form is the way to write a line's equation so that the y-intercept (where its line crosses its vertical y-axis) and slope (steepness) are instantly visible. This form is frequently known as the y = mx + b form. One of the line types that is taught in algebra schools the most is this one.
Draw a line connecting the points (because x and y are weights and costs, respectively, they must be positive; as a result, the function's graph only includes the section in Quadrant I):
Given equation:
y = 2x + 3
Put x = 0 , y = 3 ;(0,3)
Put y = 0, x = -1.5 ; (-1.5, 0)
when weight x = 1.126lb.
cost y (in dollars) and weighs x pounds.
y = 2(1.126) + 3
y = 5.252
y ≈ 5.25
Thus, the price for the to mail the package of weight 1.126 lb is found as: $5.25 .
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Complete question:
The equation y = 2x + 3 represents the cost y (in dollars) of mailing a package that weighs x pounds.
Use a graph to estimate how much it costs to mail the package for the weight of 1.126 lb.
9) Given f-¹(x)=-3x+2, write an equation
that represents f(x).
as you already know, to get the inverse of any expression we start off by doing a quick switcheroo on the variables and then solving for "y", let's do so for this inverse, since finding the inverse of the inverse, will give us the original function :)
[tex]f^{-1}(x)=-3x+2\implies y~~ = ~~-3x+2\hspace{5em}\stackrel{\textit{quick switcheroo}}{x~~ = ~~-3y+2} \\\\\\ x-2=-3y\implies \cfrac{x-2}{-3}=y\implies \cfrac{2-x}{3}=y=f(x)[/tex]
Can someone help me asap? It’s due tomorrow.
Answer:
the answer is stratified sampling
Find an equation of a line whose graph intersects the graph of the parabola y=x2 at (a) two points, (b) one point, and (c) no point. (There is more than one correct answer for each.)
(a) Two points: y = 2x + 1 and y = -2x - 1 (where the line intersects the parabola at (1,1) and (-1,1))
(b) One point: y = 2x - 1 (where the line intersects the parabola at (1,1))
(c) No point: y = 2x + 2 (the line does not intersect the parabola)
What is parabola?A parabola is a U-shaped symmetrical curve. In mathematics, it is a type of quadratic function that can be described as y = ax² + bx + c, where a, b, and c are constants and x is the variable. The graph of a parabola is symmetric about a vertical line called the axis of symmetry, which passes through the vertex of the parabola.
In the given question,
(a) When the graph of the line intersects the graph of the parabola at two points, it means that the discriminant of the quadratic equation is positive. Let the two intersection points be (x1, y1) and (x2, y2), where x1 < x2. Then we have:
y1 = x1² and y2 = x2²
The slope of the line passing through these two points is:
m = (y2 - y1)/(x2 - x1) = (x2² - x1²)/(x2 - x1) = x1 + x2
The equation of the line can then be written as:
y - y1 = m(x - x1)
y - x1^2 = (x1 + x2)(x - x1)
(b) When the graph of the line intersects the graph of the parabola at one point, it means that the discriminant of the quadratic equation is zero. Let the intersection point be (x0, y0), then we have:
y0 = x0^2
The equation of the line can be written as:
y - y0 = m(x - x0)
y - x0² = m(x - x0)
(c) When the graph of the line does not intersect the graph of the parabola, it means that the discriminant of the quadratic equation is negative. In this case, there is no solution for the system of equations y = x² and y = mx + b, where m and b are constants. Therefore, there is no equation of the line that satisfies this condition.
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a prism has three rectangular faces. its other faces are in the shape of
Answer: All the faces are rectangular.
Step-by-step explanation: A prism with three rectangular faces is called a rectangular prism. Therefore, the other faces are in the shape of rectangles.
I need help with this pleasee
Answer:
1. x=34
2.x=10
3. x=22
4. x=81
5.x=1
6.x=-8
7.x=-6
8. x=61
9. x=0.8
10. x= 2
11. x=25.2
12.x=-4
13.x=64
14.x=29
15. x=19
Step-by-step explanation:
What is the dividend yield on Stock A that sells at
$20/share, when Company A pays a quarterly
dividend of $0.10 per share?
dividend yield = [?] %
Give your answer as a percent rounded to the
nearest tenth.
The calculated value of the dividend yield on Stock A is 2%.
Calculating the dividend yield on the StockThe dividend yield is a ratio that indicates how much a company pays out in dividends relative to its stock price.
To calculate the dividend yield on Stock A, we need to divide the annual dividend per share by the stock price per share and then multiply by 100 to express it as a percentage.
Annual dividend per share = Quarterly dividend per share x 4
Annual dividend per share = $0.10 x 4 = $0.40
Now, we can calculate the dividend yield on Stock A:
Dividend yield = Annual dividend per share / Stock price per share x 100%
Dividend yield = $0.40 / $20 x 100%
Dividend yield = 2%
Therefore, the dividend yield on Stock A is 2%.
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a motor boat traveling at 18 miles per hour traveled the length of a lake in one-quarter of an hour less time than it took when traveling at 12 miles per hour. what was the length in miles of the lake?
The length of the lake in miles for the given situation of travelling motor boat is equal to 9 miles.
Let us consider the length of the lake be d in miles.
Number of miles motor boat travelled per hour = 18 miles
When the motor boat travels at 18 miles per hour,
The time it takes to travel the length of the lake is,
t₁ = d/18
When the motor boat travels at 12 miles per hour,
The time it takes to travel the length of the lake is,
t₂ = d/12
Time it takes to travel the length of the lake at 18 miles per hour
= one-quarter of an hour less than the time it takes at 12 miles per hour,
⇒ t₁ = t₂ - 1/4
Substituting the expressions for t₁ and t₂ from above, we get,
⇒ d/18 = d/12 - 1/4
Simplify this equation by multiplying both sides by the least common multiple of the denominators,
least common multiple = 36
⇒ 2d = 3d - 9
Solving for d, we get,
⇒ d = 9
Therefore, the length in miles of the lake is 9 miles.
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Integers can be represented by repeatedly adding or subtracting the number 1. For example, the integer 3 can be represented as 0 + 1 + 1 + 1, and the integer -3 can be represented as 0 - 1 - 1 - 1. Hence, the definition "an integer is the number 0 or any number obtained by repeatedly adding 1 to this number" is true.
"An integer is the number 0 or any number obtained by repeatedly adding 1 to this number" is not entirely true.
True that integers can be represented by repeatedly adding or subtracting the number 1,
The fact that integers can also be negative and can be obtained by repeatedly subtracting 1 from 0 or another negative integer.
The definition does not account for the fact that integers can be represented using other operations, such as multiplication or division. The integer 12 can be represented as 4 x 3 or as 24 ÷ 2.
A more accurate definition of an integer is a whole number that can be positive, negative, or zero.
Integers can be represented using addition, subtraction, multiplication, or division, and can be used to represent quantities such as counts, distances, temperatures, and other measurable quantities.
The original definition is a useful way to understand how integers can be represented using addition and subtraction, it is not a complete or entirely accurate definition of what integers are.
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What is a simplified form of the expression 2(–x + 2) + 3x? how do i do this?
Answer:
x + 4
Step-by-step explanation:
2(–x + 2) + 3x
-2x + 4 + 3x
x + 4
Estimate the sum.
6{13}{28} + 8{3}{32}
15
14
14 {1}2}
15 {1}2}
The sum of fractions 6 13/28 and 8 3/32 when estimated has a value of 14 1/2
Estimating the sum of fractionsTo estimate the sum of fractions 6 13/28 and 8 3/32, we can round the fractions to the nearest whole number and then add them together.
6 13/28 is approximately equal to 6 + 1/2 = 6.58 3/32 is approximately equal to 8 + 0 = 8Adding 6.5 and 8, we get:
6.5 + 8 = 14.5
Convert to fraction, we have
6.5 + 8 = 14 1/2
Therefore, the estimated sum of fractions 6 13/28 and 8 3/32 is 14 1/2
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Brainlist
Show all steps!!
Answer:
1. With the height and base of a triangle given, we can use the Pythagorean Theorem to find the length of the hypotenuse (the third side) of the right triangle.
Given:
Height (a) = 6
Base (b) = 8
We can plug these values into the Pythagorean Theorem formula:
a^2 + b^2 = c^2
Substituting the values:
6^2 + 8^2 = c^2
Simplifying:
36 + 64 = c^2
100 = c^2
Now, we can take the square root of both sides to solve for c:
√100 = √c^2
10 = c
So, the length of the hypotenuse (c) of the right triangle is 10 units.
2.
Given:
Base (b) = 8
One side (a or c) = 12
We can use the Pythagorean Theorem to find the length of the remaining side (either a or c) of the right triangle.
The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
Using the formula:
a^2 + b^2 = c^2
Substituting the values:
a^2 + 8^2 = 12^2
Simplifying:
a^2 + 64 = 144
Next, we can isolate a^2 by subtracting 64 from both sides of the equation:
a^2 = 144 - 64
a^2 = 80
Finally, we can take the square root of both sides to solve for a:
√(a^2) = √80
a ≈ 8.94 (rounded to two decimal places)
So, the length of the remaining side (either a or c) of the right triangle is approximately 8.94 units. Please note that depending on the context of the problem, you may need to use the positive square root value for a or c, depending on which side is relevant in the specific scenario.
Answer:
X = 10^2
Y = /80
Step-by-step explanation:
Pythagorean theorem = A^2 +B^2= C^2
Fist triangle
6^2+8^2
36 + 64= 100
/100 = 10^2
X= 10^2
Second triangle
Pythagorean theorem = C^2 - A^2= B^2
12^2 - 8^2
144 - 64= 80
/80 = /80
X = /80
1. suppose we know that the average weight of coyotes is 14.5kg with a standard deviation of 4kg. what is the probability of trapping a coyote that is 17kg or larger?
The probability of trapping a coyote that is 17kg or larger, given an average weight of 14.5kg and a standard deviation of 4kg is approximately 0.2743 or 27.43%.
To solve the problem, we first need to standardize the weight of the coyote using the formula:
z = (x - μ) / σ
Where:
x = the weight of the coyote we want to find the probability for (17kg in this case)
μ = the population mean (14.5kg in this case)
σ = the population standard deviation (4kg in this case)
z = the standardized score
Substituting the given values in the formula, we get:
z = (17 - 14.5) / 4
z = 0.625
Next, we need to find the probability of getting a coyote weighing 17kg or more, which is equivalent to finding the area under the normal distribution curve to the right of z = 0.625. We can use a standard normal distribution table or a calculator to find this probability.
Using a calculator, we can use the cumulative distribution function (CDF) of the standard normal distribution. The CDF gives the area under the curve to the left of a specified z-score. Since we want the area to the right of z = 0.625, we can subtract the CDF from 1 to get the area to the right.
Using a standard normal distribution table or calculator, we find that the CDF for z = 0.625 is approximately 0.734. Therefore, the area to the right of z = 0.625 is 1 - 0.734 = 0.266 or 26.6%.
Thus, the probability of trapping a coyote that is 17kg or larger is approximately 0.266 or 26.6%.
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Using a standard normal distribution table or a calculator, the probability of trapping a coyote that is 17kg or larger is approximately 0.266 or 26.6%.
What exactly is a standard normal distribution?The standard normal distribution is a probability distribution that is used to calculate probabilities associated with a random variable that has a normal distribution with mean 0 and standard deviation 1. Any normally distributed random variable can be standardized by subtracting its mean and dividing by its standard deviation to obtain a new variable with mean 0 and standard deviation 1.
In this case, we are given that the weight of coyotes has a normal distribution with a mean of 14.5kg and a standard deviation of 4kg. We want to find the probability of trapping a coyote that is 17kg or larger.
To calculate this probability, we need to standardize the weight of a 17kg coyote using the formula:
z = (× - μ) / σ
where:
x is the value we want to standardize (in this case, 17kg),
μ is the mean of the distribution (14.5kg),
σ is the standard deviation of the distribution (4kg).
Substituting the values we have:
[tex]z =\frac{(17 - 14.5)}{4} = 0.625[/tex]
This value of 0.625 is the z-score for a coyote weighing 17kg. The z-score represents the number of standard deviations that a particular value is above or below the mean.
Next, we need to find the probability of a randomly selected coyote weighing 17kg or larger, which can be calculated using the standard normal distribution table or a calculator.
The standard normal distribution table gives the probability associated with a given z-score. However, since the table only gives probabilities for z-scores less than 0, we need to use the fact that the standard normal distribution is symmetric about the mean (0) to find the probability of a z-score greater than 0.625.
Specifically, we can use the property that:
P(Z > z) = 1 - P(Z < z)
where Z is a standard normal random variable and z is a z-score. This formula tells us that the probability of a z-score greater than a certain value is equal to 1 minus the probability of a z-score less than that value.
Using this formula, we can calculate:
P(Z > 0.625) = 1 - P(Z < 0.625)
We can look up the value of P(Z < 0.625) in a standard normal distribution table or calculate it using a calculator. For example, using a standard normal distribution table, we can find that P(Z < 0.625) = 0.734.
Substituting this value into the formula, we get:
P(Z > 0.625) = 1 - 0.734 = 0.266
Therefore, the probability of trapping a coyote that is 17kg or larger is approximately 0.266 or 26.6%.
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Madison made the following table to record the height of each person in her family. About how much taller is her mom than Jade? Be sure to round to the nearest half or whole.
{1}{2} foot
1, 1{2} feet
0 feet
1 foot
As per the data mentioned in the table, Jade's mom is 0.7 ft or 1 ft taller than jade.
Describe mixed fractions.Mixed numbers represent whole numbers and proper fractions together. Usually represents a number between any two integers. Hybrid numbers are made by combining three parts:
An integer, a numerator, and a denominator. The numerator and denominator are part of the correct fraction giving the mixed number.
Height of jade's mom = 5⁵/₈ ft
Jade's height = 4⁵/₆
The difference in their heights is:
= (45/8) - (29/6)
= (270 - 232)/48
= 38/48
= 0.7 ft
0.7 ft ≈ 1 ft
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Given a sphere with a diameter of 8 cm , find its volume to the nearest whole number A. 11cm^3 B. 6cm^3 C. 17cm^3 D. 92cm^3
The formula for the volume of a sphere is V = (4/3)πr³, where r is the radius of the sphere.
find its volume to the nearest whole number A.We are given the diameter of the sphere, which is 8 cm. The radius, r, is half the diameter, so:
r = 8/2 = 4 cm
Substituting this value of r into the formula for the volume of a sphere, we get:
V = (4/3)π(4³) ≈ 268.08
Rounding this to the nearest whole number, we get:
V ≈ 268
Therefore, the volume of the sphere to the nearest whole number is 268 cm³, which is option D.
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The sum of three consecutive odd integers is fifty-seven. Find the
three numbers.
Therefore, the three consecutive odd integers are 17, 19, and 21.
What is equation?An equation is a statement that shows the equality of two expressions, typically separated by an equal sign. An equation can contain variables, constants, coefficients, and mathematical operations such as addition, subtraction, multiplication, division, and exponentiation. The goal of solving an equation is to find the value(s) of the variable(s) that satisfy the equality.
Here,
Let x be the first odd integer, then the second and third odd integers are x+2 and x+4, respectively, since the difference between consecutive odd integers is 2.
The sum of the three consecutive odd integers is 57, so we can write:
x + (x+2) + (x+4) = 57
Simplifying and solving for x, we get:
3x + 6 = 57
3x = 51
x = 17
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Which of the following equations are equivalent? Select three options. 2 + x = 5 x + 1 = 4 9 + x = 6 x + (negative 4) = 7
The equations that are equivalent are: 2 + x = 5, x + 1 = 4, x + (-4) = 7
These equations can be solved to find x = 3 and x = 11, respectively.
What is equation?An equation is a mathematical statement that uses an equal sign (=) to show that two expressions are equal.
According to given information:Equations are equivalent if they have the same solution or solutions. In other words, if we substitute the same values for the variables in each equation, we will get the same result or results.
In the given options, the equations that are equivalent are:
2 + x = 5 and x + 3 = 5, since they both simplify to x = 3.
x + 1 = 4 and x = 3, since they both simplify to x = 3.
x + (-4) = 7 and x = 11, since they both simplify to x = 11.
The equation 9 + x = 6 has a different solution from the others, so it is not equivalent to any of them.
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Bernard used a stopwatch to time how many seconds he could balance a spoon on his nose. The first attempt lasted 5 1/3 seconds. The second attempt lasted 5 5/9 seconds. The third attempt lasted 5 1/2 seconds.
Which list orders the times from shortest to longest ?
List orders the times from shortest to longest
5 1/3 seconds
5 1/2 seconds
5 5/9 seconds
What is Decimal?A decimal is a way of representing numbers using a base-10 positional notation system, where each digit represents a power of 10. It is written as a whole number followed by a decimal point and a series of digits representing fractions of 1.
According to the given information:
To order the times from shortest to longest, we need to convert them into a common format, such as a decimal or a common denominator.
First, let's convert the times to a common denominator of 9:
5 1/3 seconds = 16/3 seconds = 48/9 seconds
5 5/9 seconds = 50/9 seconds
5 1/2 seconds = 9/2 seconds = 45/9 seconds
Now we can order the times from shortest to longest:
48/9 seconds = 5 1/3 seconds
45/9 seconds = 5 1/2 seconds
50/9 seconds = 5 5/9 seconds
Therefore, the correct list in order from shortest to longest is:
5 1/3 seconds
5 1/2 seconds
5 5/9 seconds
So Bernard's first attempt was the shortest, his third attempt was the second longest, and his second attempt was the longest.
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Write an inequality relating the given side lengths. If there is not enough information to reach a conclusion write “no conclusion”
(25,26,27,28)
The inequality relating the figures are
25 XZ > AC
26. DF < FD
27. 38 > x > 11
28. 37/3 > x > 7/3
How to find xIn the figure, the angles are related from the concept that one angle in a triangle must be greater than zero and less than 180.
In addition, when other dimensions are equal the side having greater length will have greater angle facing it.
27. since side 18 > side 12 we have that
5x - 10 > 45
5x > 45 + 10
5x > 55
x > 11
each angle must be less than 180
Also, 5x - 10 < 180
5x < 180 + 10
5x < 190
x < 38
The range of values of x is 38 > x > 11
28. since side 9 > side 6
30 > 3x - 7
30 + 7 > 3x
37 > x
x < 37/3
each angle must be greater than 0
3x - 7 < 0
3x > 7
x > 7/3
The range of values of x is 37/3 > x > 7/3
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1. What is the sum of the first 1,000 positive multiples of 3, starting with 3?
1,001,000
1,499,998
500,500
1,501,500
By answering the presented question, we may conclude that As a result, arithmetic the total of the first 1,000 positive multiples of three beginning with three is 1,501,500. As a result, (C) 500,500 is not the right answer.
what is arithmetic progression?An arithmetic progression occurs when the difference between subsequent words in a series is always the same. The sequences 5, 7, 9, 11, 13, and 15 are examples of arithmetic progressions with a tolerance of 2. Arithmetic progression (A.P.) is a progression that has a set tolerance between any two successive numbers. There are two forms of mathematical progression: finite-length arithmetic series A finite geometric progression is a series with a finite number of terms. The series' terms may be used to calculate the early, late, tolerance, and number of terms.
The first positive multiple of three is three itself, followed by six, nine, and so on. As a result, the total of the first 1,000 positive multiples of three beginning with three is:
3 + 6 + 9 + ... + 3,000
S = (n/2)(a + l)
n = 1,000, a = 3, and l = 3,000 in this example (since the last term is 3 times the 1,000th term). When we enter these values into the formula, we get:
S = (1,000/2)(3 + 3,000)
S = 500(3,003) (3,003)
S = 1,501,500
As a result, the total of the first 1,000 positive multiples of three beginning with three is 1,501,500. As a result, (C) 500,500 is not the right answer.
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The amount y (in dollars) of money in your
savings account after x months is represented by the equation y = 12.5x+100.
A Graph the linear equation
b. How many months will it take to save a total of $237.50
A. we can plot another point at (1, 112.5), and continue this pattern to draw the line. Linear equation graph
B. It will take 11 months to save a total of $237.50.
What is a graph?
In computer science and mathematics, a graph is a collection of vertices (also known as nodes or points) connected by edges (also known as links or lines).
a. To graph the linear equation y = 12.5x+100, we can use the slope-intercept form y = mx + b, where m is the slope and b is the y-intercept.
Comparing y = 12.5x+100 to y = mx + b, we can see that the slope is 12.5 and the y-intercept is 100.
To graph the equation, we can plot the y-intercept at (0, 100), and then use the slope to find other points. The slope of 12.5 means that for every increase of 1 in x (i.e. for every month), y increases by 12.5. So, we can plot another point at (1, 112.5), and continue this pattern to draw the line.
linear equation graph
b. We want to find the value of x (the number of months) that corresponds to a value of y (the amount of money in savings) of $237.50.
We can set y = 237.50 in the equation y = 12.5x+100, and solve for x:
237.50 = 12.5x+100
Subtracting 100 from both sides, we get:
137.50 = 12.5x
Dividing both sides by 12.5, we get:
x = 11
So, it will take 11 months to save a total of $237.50.
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find the average rate of change of the car's position on the interval . include units on your answer.
The average rate of change of the car's position on the interval is ∆P/∆t.
To find the average rate of change of the car's position on the interval, follow these steps:
Identify the interval: First, determine the specific interval for which you need to find the average rate of change (e.g.,
between times t1 and t2).
Calculate the change in position:
Determine the car's position at both the beginning and end of the interval (e.g., positions P1 and P2).
Then, subtract the initial position (P1) from the final position (P2) to find the change in position (∆P).
Calculate the change in time: Subtract the initial time (t1) from the final time (t2) to find the change in time (∆t).
Calculate the average rate of change: Divide the change in position (∆P) by the change in time (∆t) to find the average
rate of change.
The average rate of change of the car's position on the interval is ∆P/∆t. Include units in your answer (e.g., meters per
second or miles per hour) to indicate the car's rate of change in position.
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which measures of center and variability would be most appropriate to describe the given distribution?
The choice of measures of center and variability depends on the shape and characteristics of the distribution. If the distribution is skewed or has outliers, then the median and IQR would be more appropriate measures of center and variability, respectively.
What is median?The median is a measure of central tendency that represents the middle value in a dataset when the data is arranged in order of magnitude. Specifically, it is the value that separates the data set into two equal halves. In other words, half of the values in the dataset are greater than the median, and the other half are less than the median.
To calculate the median, you first need to arrange the data in order from lowest to highest (or highest to lowest).
The value that divides the data set into two equal portions is called the median. It is a robust measure of center, meaning that it is not affected by extreme values or outliers. The IQR is the range of values that contains the middle 50% of the data, and it is also a robust measure of variability.
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there are three urns that contain a mixture of black and red balls as shown in table 1: no. of red balls no. of black balls urn 1 7 3 urn 2 2 8 urn 3 5 5 table 1: distribution of colored balls in each urn two urns are chosen at random and two balls are randomly chosen from each of the two urns. what is the probability that all four chosen balls are red?
The probability that all four chosen balls are red is 14/6075.
What is probability?Probability is a way to gauge how likely or unlikely something is to happen. It is a number between 0 and 1, where 0 denotes an improbable event and 1 denotes an inevitable one.
According to question:Let's first find the probability of choosing two red balls from each of the two urns separately and then multiply the results.
The probability of choosing two red balls from urn 1 is:
P(2 red balls from urn 1) = (7/10) * (6/9) = 7/15
Similarly, the probability of choosing two red balls from urn 2 is:
P(2 red balls from urn 2) = (2/10) * (1/9) = 1/45
And the probability of choosing two red balls from urn 3 is:
P(2 red balls from urn 3) = (5/10) * (4/9) = 2/9
Now, we need to find the probability of choosing two urns out of three, and since the order in which we choose the urns does not matter, we can use combinations:
Number of ways to choose two urns out of three = C(3, 2) = 3
Therefore, the probability of choosing two urns out of three is 3/3 = 1.
Finally, we need to multiply the probability of choosing two red balls from each of the two urns and the probability of choosing two urns out of three:
P(all four balls are red) = P(2 red balls from urn 1) * P(2 red balls from urn 2) * P(2 red balls from urn 3) * P(choose two urns out of three)
= (7/15) * (1/45) * (2/9) * 1
= 14/6075
Therefore, the probability that all four chosen balls are red is 14/6075.
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3.12 speeding on the i-5, part i: the distribution of passenger vehicle speeds traveling on the interstate 5 freeway (i-5) in california is nearly normal with a mean of 72.6 miles/hour and a standard deviation of 4.78 miles/hour. (a) what percent of passenger vehicles travel slower than 80 miles/hour?
Approximately 68.3% of passenger vehicles travel slower than 80 miles/hour.
Alex had 8. 8 meters of string. Suni had 36 decimeters of string. Juanita had 672 centimeters of string. What is the order of string lengths from the longest to the shortest? 8. 8 meters, 672 centimeters, 36 decimeters 8. 8 meters, 36 decimeters, 672 centimeters 36 decimeters, 8. 8 meters, 672 centimeters 672 centimeters, 36 decimeters, 8. 8 meters
The order of string lengths from the longest to the shortest is:
8.8 meters, 36 decimeters, 672 centimeters. So the correct option is : 2
To compare these lengths, we need to convert them to the same units.
8.8 meters is the longest length.
36 decimeters is equivalent to 3.6 meters.
672 centimeters is equivalent to 6.72 meters.
1 meter = 10 decimeters = 100 centimeters
Now converting ,
So, 8.8 meters = 88 decimeters = 880 centimeters
36 decimeters = 360 centimeters
Now we can see that the order from longest to shortest is:
8.8 meters = 880 centimeters
36 decimeters = 360 centimeters
672 centimeters
Therefore the correct option is : 2.
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--The complete Question is, Alex had 8. 8 meters of string. Suni had 36 decimeters of string. Juanita had 672 centimeters of string. What is the order of string lengths from the longest to the shortest?
8. 8 meters, 672 centimeters, 36 decimeters 8. 8 meters, 36 decimeters, 672 centimeters 36 decimeters, 8. 8 meters, 672 centimeters 672 centimeters, 36 decimeters, 8. 8 meters --Please help,, my teacher didnt show me how to do ths
Answer:
sorry did not mean to answer this
Step-by-step explanation:
Answer:
Domain: (0, ∞)
Range: (-∞, ∞)
Step-by-step explanation:
Domain solution: x > 0
Range solution: -∞ < f(x) < ∞
Hope this helps.
13. suppose that we color each of the eight corners of a cube. using three different colors, how many ways can the corners be colored up to a rotation of the cube?
There are 988 distinct ways to color the corners of the cube using three different colors up to a rotation of the cube.
To find the number of ways to color the corners of a cube using three different colors up to a rotation of the cube, we can use Burnside's Lemma.
Burnside's Lemma states that the number of distinct colorings is equal to the average number of colorings fixed by each symmetry of the cube.
There are 24 possible rotations of the cube.
We can classify these rotations into 4 categories:
Identity (1 rotation):
This rotation leaves the cube unchanged.
All [tex]3^8 = 6561[/tex] colorings are fixed under this rotation.
90-degree rotation around an axis through the centers of two opposite faces (6 rotations):
Each of these rotations leaves only 3 colorings fixed, one for each color.
Therefore, there are 6*3 = 18 fixed colorings.
180-degree rotation around an axis through the centers of two opposite faces (3 rotations):
Each of these rotations leaves [tex]3^4 = 81[/tex]colorings fixed.
So, there are 3*81 = 243 fixed colorings.
120-degree and 240-degree rotation around an axis through two opposite vertices (8+8 = 16 rotations): Each of these rotations leaves 3^2 = 9 colorings fixed.
Thus, there are 16*9 = 144 fixed colorings.
Now, applying Burnside's Lemma, we calculate the average number of fixed colorings:
(6561 + 18 + 243 + 144) / 24 = 2966/3 = 988.
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2. Find the area of the circle. Use 3.14 for r. Round to the nearest unit.
18 cm
01,017 cm²
0254 cm²
057 cm²
028 cm²
(1 point)
The area of the circle for given problem will be approx. 254 [tex]cm^2[/tex].
How to find the area of circle?The formula for finding the area of a circle is given by:
Area =[tex]\pi* r^2[/tex]
where "π" (pi) is a mathematical constant approximately equal to 3.14159, and "r" represents the radius of the circle.
Measure the radius (r) of the circleSquare the radius: (r * r)Multiply the squared radius by π (pi):[tex]\pi* r^2[/tex].The result is the area of the circle.Given,
Find the radius (r) of the circle. The radius is half of the diameter, so divide the diameter by 2:
Radius (r) = Diameter / 2 = 18 cm / 2 = 9 cm
Area = [tex]\pi * r^2[/tex] = [tex]3.14*(9 \;cm)^2[/tex] = [tex]254.34 \;cm^2[/tex] (rounded to two decimal places)
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Correct Question: Find the area of the circle with Diameter =18 cm(refer to image). Use 3.14 for π.( Round to the nearest unit).