The probability that the 100 orders can be filled without reordering components, if the manufacturer stocks 105 components is 1, or 100%.
The probability of being able to fill 100 orders without reordering components depends on the total number of components stocked. If the manufacturer stocks 105 components, then the probability of being able to fill 100 orders without reordering components is 1. Since 105 is greater than or equal to 100, the probability of being able to fill the orders without reordering components is 1 (100%).
Mathematically, this can be expressed as P(Filling 100 orders) = 1, where P stands for probability, and Filling 100 orders stands for the event of being able to fill 100 orders without reordering components.
This is because, if the manufacturer stocks 105 components, then they have enough components to fulfill the 100 orders without reordering components. So, the probability of being able to fulfill the orders without reordering components is 100%, or 1.
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Whats the measure of angle J rounded to the nearest tenth?
The measure of angle J, m∠J = 41.2°.
angle mwasurement:
We can use trigonometry to find the measure of ∠J. Since we know the lengths of the two sides adjacent to ∠J (GH and GJ), we can use the tangent function, which is defined as the opposite side divided by the adjacent side:
tan(J) = opposite/adjacent = GH/GJ
We can solve for J by taking the inverse tangent (or arctan) of both sides:
J = [tex]tan^{-1}[/tex](GH/GJ)
Substituting the given values, we get:
J = [tex]tan^{-1}[/tex](14/16)
Using a calculator, we find:
J ≈ 41.186
Rounded to the nearest tenth, the measure of angle J is 41.2°.
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Can you help me. I have 10 minutes to do this. Thanks!
Answer:
To find the difference in degrees Celsius between Oklahoma's and New Jersey's record low temperatures, we first need to convert both temperatures to Celsius or Fahrenheit. Since Oklahoma's temperature is given in Fahrenheit and New Jersey's temperature is given in Celsius, we'll convert Oklahoma's temperature to Celsius.
Using the formula F = 1.8C + 32, we can solve for C:
-31°F = -35°C
(To see how we arrived at this conversion: first, we use the formula to convert Fahrenheit to Celsius: F = 1.8C + 32. Rearranging the equation, we can solve for C: (F - 32) / 1.8 = C. Plugging in -31°F for F, we get (-31 - 32) / 1.8 = -35°C)
Now we can find the difference in Celsius between the two temperatures:
|-35°C| - |-37°C| = |-2| = 2°C
So the difference in degrees Celsius between Oklahoma's and New Jersey's record low temperatures is 2°C.
a 12 sided die is rolled. what is the probability that an even number or a number greater than 3 is rolled
The probability that an even number or a number greater than 3 is rolled on a 12-sided die is 0.833.
A 12-sided die has 12 equally likely outcomes, numbered from 1 to 12. To find the probability of rolling an even number or a number greater than 3, we need to count the number of outcomes that satisfy this condition and divide it by the total number of possible outcomes.
There are 6 even numbers on a 12-sided die, namely 2, 4, 6, 8, 10, and 12, and there are 9 numbers greater than 3, namely 4, 5, 6, 7, 8, 9, 10, 11, and 12. However, we need to be careful not to count the numbers that satisfy both conditions twice, namely 4, 6, 8, 10, and 12.
Therefore, the number of outcomes that satisfy the condition is 6 + 9 - 5 = 10. The probability of rolling an even number or a number greater than 3 is therefore 10/12, which simplifies to 5/6 or approximately 0.833.
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What is the slope of the line represented by -4x+2y=8
Answer:
2
Step-by-step explanation:
what are coordinate planes explain:
Answer:
a two-dimension surface formed by two number lines.
what does 4x^{3} ÷ 8 equal
Answer:
4x^{3} ÷ 8 = x^{3}/2
What is the radius of a sphere if its volume is 7,234.56 ft3 please answer it,Show work.
Answer:
11.52 feet
Step-by-step explanation:
The formula for the volume of a sphere is V = (4/3)πr³, where V is the volume and r is the radius.
We can rearrange the formula to solve for the radius:
r = (3V/4π)^(1/3)
Substituting the given volume V = 7,234.56 ft³, we get:
r = (3(7,234.56)/(4π))^(1/3) ≈ 11.52 ft
Therefore, the radius of the sphere is approximately 11.52 feet.
the volume of a cube (in cubic inches) plus three times the total length of its edges (in inches) is equal to twice its surface area (in square inches). how many inches long is its long diagonal? express your answer as where is a prime number. find .
The length of the long diagonal of the cube is 3sqrt(3) inches.
Let's denote the length of one side of the cube as "a". Then the cube has a volume of a^3, a surface area of 6a^2 (since a cube has 6 faces with side length a), and a total edge length of 12a (since each face has 4 edges of length a).
Using the given equation, we can write
a^3 + 3(12a) = 2(6a^2)
Simplifying this equation, we get
a^3 + 36a = 12a^2
a^3 - 12a^2 + 36a = 0
a(a^2 - 12a + 36) = 0
a(a - 6)^2 = 0
The only positive solution for "a" is a = 6 (since a cannot be zero or negative). Therefore, the cube has a side length of 6 inches.
To find the length of the long diagonal of the cube, we can use the Pythagorean theorem. The long diagonal passes through the center of the cube and connects two opposite corners. The distance from the center to a corner is half the length of the long diagonal. Let's call this distance "d".
Using the Pythagorean theorem, we can write
d^2 = (6/2)^2 + (6/2)^2 + (6/2)^2
d^2 = 3(6^2)/4
d = (sqrt(3)×6)/2
d = 3sqrt(3) inches
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A company charges $7 for a t-shirt and ships any order for $22. a school principal ordered a number of t-shirts for the school store. the total cost of the order was $1,520. how many t-shirts did the principal order?
The total number of t-shirts principal ordered in $1520 for the school store is given 214.
Let us consider the number of t-shirts the principal ordered be equal to 'x'.
The cost of each t-shirt is equal to $7.
⇒ The total cost of 'x' t-shirts = 7x dollars.
Shipping cost is a flat rate for any order, regardless of the number of t-shirts = $22
Total cost of the order (including shipping) = $1520.
Required equation is equal to,
7x + 22 = 1520
Subtract 22 from both sides of the equation we get,
⇒ 7x = 1498
Divide both sides of the equation by 7 we get,
⇒ x = 214
Therefore, the number of t-shirts ordered by principal for the school store is equal to 214.
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What is the vertical distance between (2, 11/3)
and (2, - 4/3)?
The vertical distance between (2, 11/3) and (2, -4/3) is -5 units.
Define distance formulaThe distance formula is a mathematical equation used to find the distance between two points in a plane. It is derived from the Pythagorean theorem and is expressed as:
d = √((x₂- x₁)²+ (y₂ - y₁)²)
The distance formula can also be extended to three-dimensional space by adding an additional term to the equation.
The two points (2, 11/3) and (2, -4/3) have the same x-coordinate, which means they lie on a vertical line. To find the vertical distance between these two points, we simply subtract their y-coordinates:
Vertical distance = (y-coordinate of second point) - (y-coordinate of first point)
= (-4/3) - (11/3)
= -15/3
= -5
Therefore, the vertical distance between (2, 11/3) and (2, -4/3) is -5 units. Since this is a negative value, it means that the second point is located 5 units below the first point.
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a sample survey is to be conducted to determine the mean family income in an area. the question is how many families should be sampled? in order to get more information about the area, a small pilot survey was conducted, and the standard deviation of the sample was computed to be $400 with the mean of $60,000. the sponsor of the survey wants you to use the 0.99 degree of confidence. the estimate is to be within $90. how many families should be interviewed?
The sample size required is 182 families should be interviewed.
To calculate the number of families that should be interviewed to obtain the desired precision and degree of confidence, one must first determine the minimum sample size required to achieve the desired degree of confidence. As the standard deviation of the sample was computed to be $400 with the mean of $60,000.
Sample size formula: n = (Z² * s²) / E²
The formula for the degree of confidence: Z = 2.576
Sample size formula: n = (Z² * s²) / E²
Substituting the values, we get n = (2.576² * $400²) / $90²= 181.49 = 182 families. The sample size required is 182 should be interviewed families.
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Bo and Erica are yoga instructors. Between the two of them, they teach 37 yoga classes each week. If Erica teaches 14 fewer than
twice as many as Bo, how many classes does each instructor teach per week?
OA. 19 Bo; 18 Erica
OB. 14 Bo; 23 Erica
OC. 21 Bo; 16 Erica
OD. 17 Bo; 20 Erica
Answer:
The correct answer is OD.
Step-by-step explanation:
To find how many classes each instructor teaches per week, you need to set up and solve a system of equations based on the given information. In other words,
Let x be the number of classes Bo teaches per week and y be the number of classes Erica teaches per week.
The first equation is based on the total number of classes they teach
x + y = 37
The second equation is based on the relationship between their numbers of classes
y = 2x - 14
To solve this system, you can use substitution or elimination methods. For example, using substitution, you can plug in y = 2x - 14 into the first equation and get
x + (2x - 14) = 37
Simplify and solve for x
3x - 14 = 37
So, Bo teaches 17 classes per week and Erica teaches 20 classes per week.
Answer:
A. 19 Bo; 18 Erica
Step-by-step explanation:
im good like that hehe
10 ft
20 ft
15 ft
Find the area.
A = [?] ft²
Round to the nearest
hundredth.
The total area of the composite figure is 114.25 square feet.
How to find the area of the shape?The area of a circle of diameter D is:
A = 3.14*(D/2)²
And the area of a triangle of base B and height H is:
A = B*H/2
We can decompose the figure into two simpler ones, a triangle of base of 10ft and height of 15 ft, whose area is:
A = 10ft*15ft/2 = 75ft²
And half of a circle of diameter of 10ft, whose area is:
A = 0.5*3.14*(10ft/2)² = 39.25 ft²
Then the total area of the figure is:
area = 75ft² + 39.25 ft² = 114.25 ft²
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Gardening is planting a garden. It has the shape of a right triangle. Wants plants for each square of area. How many plants does want in the garden? 7 yards 24 yards 25 yards
The garden would require 84 plants, which is the same number of plants as the garden's surface area.
The area of the garden can be determined using the formulas below if it is shaped like a right triangle and has sides that are 7 and 24 yards long.
Area of the garden = (1/2) x Base x Height
Area of the garden = (1/2) x 7 x 24
Area of the garden = 84 square yards
Since there is one square yard of area for each plant, the number of plants needed for the garden would be equal to the area of the garden, which is 84 plants.
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would there be a problem with taking readings from the right side of a sphere if the diameters of the spheres were different?
There would be a problem with taking readings from the right side of a sphere if the diameters of the spheres were different because the right side of a sphere is not a fixed point, but rather a relative term.
If the diameters of two spheres were different, the right side of one sphere would not be the same as the right side of the other sphere. This means that taking readings from the right side of each sphere would not be a fair comparison, as the points being measured are not equivalent.
For example, imagine two spheres with diameters of 5cm and 10cm, respectively. If we were to take readings from the right side of each sphere, we would be measuring points at different distances from the center of each sphere. This would result in inaccurate measurements and an unfair comparison.
To avoid this problem, it is important to define a consistent point of measurement on each sphere that is equivalent, regardless of the diameter. For example, measuring from the center of each sphere would provide a consistent and fair comparison.
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The length of a rectangular porch is (x + 7) feet. The area of the porch is (x² + 9x + 14) square feet. Factor the expression for the area in order to find an expression for the width of the porch.
We may conclude after answering the presented question that rectangle Therefore, the expression for the width of the porch is x + 2 feet.
What is rectangle?In Euclidean geometry, a rectangle is a parallelogram with four small angles. It may also be defined as a fundamental rule hexagon or one in which all of the angles are equal. Another alternative for the parallelogram is a straight angle. Four of the vertices of a square are the same length. A quadrilateral with four 90° angle vertices and equal parallel sides has a rectangle-shaped cross section. As a result, it is also known as a "equirectangular rectangle." A rectangle is sometimes referred to as a parallelogram due to the equal and parallel dimensions of its two sides.
area of a rectangle
Area = length x width
To do this, we can factor the expression for the area, which gives us:
x² + 9x + 14 = (x + 2)(x + 7)
Area = length x width
(x + 2)(x + 7) = (x + 7) x width
x + 2 = width
Therefore, the expression for the width of the porch is x + 2 feet.
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Please HELP ME HELPPPPP
Answer:
bar chart
Step-by-step explanation:
you are right box plot, histogram and a circle graph aren't the right ones
a bag contains tiles with the letters to spell the word colorado. what is the theoretical probability of drawing the letter o?
Theoretical probability of drawing the letter "o" is 1/4, or 0.25 as a decimal.
The probability of drawing the letter "o" from the bag of tiles depends on the number of tiles with the letter "o" and the total number of tiles in the bag.
Since the word "Colorado" has two "o's", there are two "o" tiles in the bag. The total number of tiles in the bag is the number of letters in the word "Colorado", which is 8.
Therefore, the theoretical probability of drawing the letter "o" is:
P("o") = number of "o" tiles / total number of tiles
= 2/8
= 1/4
So the theoretical probability of drawing the letter "o" is 1/4, or 0.25 as a decimal.
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the probability that no cars will pass by a section in an hour is 0.4 (modelled as a poisson process. further, no car passed by in the last 2 hours. what is the probability that you have to wait at least 1 more hour (after the 2 hours) for the next car?
The probability of having to wait at least 1 more hour for the next car is 0.631 or approximately 63.1%.
The given problem can be solved using the Poisson distribution. Let [tex]$\lambda$[/tex] be the average rate of cars passing through the section per hour. Then, since the probability of no cars passing in one hour is 0.4, we have:
[tex]$P(X=0)=\frac{\lambda^0e^{-\lambda}}{0!}=0.4$[/tex]Solving for [tex]$\lambda$[/tex], we get [tex]$\lambda= -ln(0.4) \approx 0.916$[/tex]. Therefore, the probability of no cars passing in three hours (two hours have already passed) is:
[tex]$P(X=0 \text{ in } 3 \text{ hours})=\frac{(0.916\cdot3)^0e^{-0.916\cdot3}}{0!} \approx 0.148$[/tex]The probability of waiting at least 1 more hour for the next car is the same as the probability of having no cars pass in the next hour, given that no cars have passed in the last 2 hours. This can be calculated using the conditional Poisson distribution:
[tex]$P(X=0 \text{ in } 1 \text{ hour} | X=0 \text{ in } 3 \text{ hours}) = \frac{P(X=0 \text{ in } 1 \text{ hour and } X=0 \text{ in } 3 \text{ hours})}{P(X=0 \text{ in } 3 \text{ hours})}$[/tex][tex]$= \frac{\frac{(0.916\cdot1)^0e^{-0.916\cdot1}}{0!}\cdot \frac{(0.916\cdot2)^0e^{-0.916\cdot2}}{0!}}{0.148} \approx 0.631$[/tex]
Therefore, the probability of having to wait at least 1 more hour for the next car is 0.631 or approximately 63.1%.
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.a semi-elliptical arch in a stone bridge has a span of 6 meters and a central height of 2 meters. find the height of the arch at a distance of 1.5 m from the center of the arch.
The height of the arch at a distance of 1.5 meters from the center is approximately D. 1.73 meters
The shape of a semi-elliptical arch can be described by the equation:
y = c * sqrt(1 - (x/a)^2)
where "a" is half the span of the arch, "c" is the central height of the arch, and (x,y) are the coordinates of a point on the arch, measured relative to the center of the arch.
In this case, we have a span of 6 meters, so a = 3 meters. The central height of the arch is 2 meters, so c = 2 meters. We want to find the height of the arch at a distance of 1.5 meters from the center, so x = 1.5 meters.
Substituting these values into the equation, we get:
y = 2 * sqrt(1 - (1.5/3)^2)
y = 2 * sqrt(1 - 0.25)
y = 2 * sqrt(0.75)
y = 2 * 0.866
y = 1.732
Therefore, the height of the arch at a distance of 1.5 meters from the center is approximately 1.73 meters. Answer D
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Your question is incomplete, but probably the complete question is :
A semi-elliptical arch in a stone bridge has a span of 6 meters and a central height of 2 meters. Find the height of the arch at a distance of 1.5 m from the center of the arch.
A. 1.41 m C. 1.56 m
B. 1.63 m D. 1.73 m
2 cards are selected from a standard deck of 52 cards. (don't know about playing cards? click here.) the first card is not placed back in the deck before the second card is drawn. match the probabilities to their corresponding situations. question 4 options: 3 p(spade and ace of hearts) 4 p(2 aces) p(2 of the same card) 2 p(red card and four of spades) 1 p(heart and club) 1. 13/204 2. 1/102 3. 1/204 4. 1/221 5. 0
Hence, the correct match of probabilities with their corresponding situations is given by option 4.
To match the probabilities with their corresponding situations, we can utilize the formulas given below:
[tex]P(A ∩ B) = P(A) x P(B|A)P[/tex](2 aces) =[tex](4/52) x (3/51) = 1/221[/tex]
P(heart and club) =[tex](13/52) x (13/51) = 169/2652[/tex]P(spade and ace of hearts) = 0P(2 of the same card) = (1/52) + (3/51) + (2/50) + (1/49) + (4/48) + (3/47) + (2/46) + (1/45) = 20/663P(red card and four of spades) = (16/52) x (1/51) = 4/663
Therefore, the probabilities with their corresponding situations are:3: P(spade and ace of hearts) = 0 (Not possible as Ace of hearts is not spade)
4: P(2 aces) = 1/2211: P(heart and club) = 169/26521: P(heart and club) = 169/26522: P(red card and four of spades) = 4/663
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F(x)=x2-x3-4 What is the axis of symmetry of the following equation?
The axis of symmetry of equation f(x) = x² - x³ - 4 is x = 2/3.
The axis of symmetry is a vertical line that passes through the vertex of a parabolic function, which is the highest or lowest point on the graph depending on the direction of the parabola. The equation f(x) = x² - x³ - 4 is a cubic function that can be written in standard form as:
f(x) = -x³ + x² - 4
To find the axis of symmetry, we need to first find the x-coordinate of the vertex. This can be done by taking the derivative of f(x) and setting it equal to zero:
f'(x) = -3x² + 2x = 0
x(2-3x) = 0
x = 0 or x = 2/3
Since the coefficient of the x³ term is negative, the vertex of the cubic function is a maximum. Therefore, the axis of symmetry is the vertical line passing through the x-coordinate of the vertex, which is x = 2/3.
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Here are some clues to a mystery number.
• The GCF of 18, 36, and me is 2.
• 1 am a multiple of 5.
1 am greater than 18 and less than 30.
The only number between 18 and 30 that is a multiple of 5 and satisfies this condition is 20, Therefore, the mystery number is 20
How to determine the mystery numberThe GCF of 18, 36, and the mystery number is 2.
This means that the mystery number is divisible by 2.
The mystery number is also a multiple of 5, so it must end in either 0 or 5.
The mystery number is greater than 18 and less than 30, so it can only be 20 or 25.
Let's check if the GCF of 18, 36, and 20 is 2.
The factors of 18 are 1, 2, 3, 6, 9, and 18.
The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36.
The factors of 20 are 1, 2, 4, 5, 10, and 20.
The only factor that 18, 36, and 20 have in common is 2, so the mystery number is 20.
Therefore, the mystery number is 20.
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the probability that the splices in a rope splicing shop are weak is 1/1000 and the probability that the splices are ugly is 1/20. the probability that the weak splices are ugly is 2/3. find the probability that an ugly splice is weak.
The probability that an ugly splice is weak is 2/3.
This can be calculated by multiplying the probability of weak splices (1/1000) with the probability of ugly splices (1/20) and the probability that a weak splice is also ugly (2/3).
In order to calculate the probability that an ugly splice is weak, we need to use the equation: P(A∩B) = P(A) * P(B|A). In this equation, A represents the probability of weak splices (1/1000), and B represents the probability of ugly splices (1/20).
The probability that a weak splice is also ugly (2/3) is then multiplied by A and B, giving us a final answer of 2/3. This means that 2 out of every 3 ugly splices are weak.
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4. Financial Literacy Tickets to a play cost $10 for
members and $24 for nonmembers. Write an expression
to find the total cost of 4 nonmember tickets and
2 member tickets. Then find the total cost. (Example 6)
H
the total cost of 4 nonmember tickets and 2 member tickets would be $116.
Why it is and what is financial literacy?
The expression to find the total cost of 4 nonmember tickets and 2 member tickets would be:
4($24) + 2($10)
This expression represents the cost of 4 nonmember tickets at $24 each, and 2 member tickets at $10 each.
To find the total cost, we simply need to evaluate this expression using basic arithmetic:
4($24) + 2($10) = $96 + $20 = $116
Therefore, the total cost of 4 nonmember tickets and 2 member tickets would be $116.
Financial literacy is the knowledge and skills required to manage one's personal finances effectively. It encompasses a range of topics, including budgeting, saving, investing, managing debt, understanding financial products such as credit cards and loans, and planning for retirement. Financial literacy also involves an understanding of financial concepts such as interest rates, inflation, and risk management.
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Suppose it takes 8 hours for a certain strain of bacteria to reproduce by dividing in half. If 75 bacteria are presentto begin with, the total number present after z days isf(x) = 75-8².Find the total number present after 1, 2, and 3 days.There will bebacteria present after 1 day, 600after 2 days and* after 3 days.
According to the exponential growth formula , there will be 38400 bacteria present after 3 days.
The given formula for the bacteria population, f(x) = 75 - 8², seems to be incorrect. Since the bacteria reproduce by dividing in half every 8 hours, we should use an exponential growth formula.
Let's denote the number of bacteria present after z days as f(z). Since there are 24 hours in a day, there are 3 reproduction cycles in a day (24 hours / 8 hours per cycle = 3 cycles). Therefore, the total number of reproduction cycles after z days is 3z.
The formula for the bacteria population after z days is: f(z) = 75 * 2^(3z)
Now, let's find the total number present after 1, 2, and 3 days.
1 day: f(1) = 75 * 2^(3 * 1) = 75 * 2^3 = 75 * 8 = 600
There will be 600 bacteria present after 1 day.
2 days: f(2) = 75 * 2^(3 * 2) = 75 * 2^6 = 75 * 64 = 4800
There will be 4800 bacteria present after 2 days.
3 days: f(3) = 75 * 2^(3 * 3) = 75 * 2^9 = 75 * 512 = 38400
There will be 38400 bacteria present after 3 days.
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Question 6(Multiple Choice Worth 2 points)
(Appropriate Measures MC)
The line plot displays the cost of used books in dollars.
A horizontal line starting at 1 with tick marks every one unit up to 9. The line is labeled Cost in Dollars, and the graph is titled Cost of Used Books. There are two dots above 1, 2, 3, 5, and 6. There are four dots above 7.
Which measure of center is most appropriate to represent the data in the graph, and why?
The median is the best measure of center because there are no outliers present.
The median is the best measure of center because there are outliers present.
The mean is the best measure of center because there are no outliers present.
The mean is the best measure of center because there are outliers present.
So, the correct option is: The median is the best measure of center because there are outliers present.
What is line plot?A line plot is a type of graph that is used to display data along a number line. In a line plot, each data point is represented by a dot or mark placed above the corresponding value on the number line. Line plots are commonly used to represent small to moderate-sized data sets, especially those with discrete values or categories. The line plot typically consists of a horizontal line, called the axis, representing the numerical values of the data, with marks or dots above the line indicating the frequency or count of each value in the data set. Each mark or dot is placed directly above the value on the number line that it represents.
Here,
Since the data in the graph is skewed to the right, there are outliers present. Outliers are data points that are significantly different from the other values in the data set. Therefore, the median is the most appropriate measure of center to represent the data in the graph because it is less affected by outliers compared to the mean.
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g suppose that you are an elementary school teacher and you are evaluating the reading levels of your students. you find an individual that reads 46.2 word per minute. you do some research and determine that the reading rates for their grade level are normally distributed with a mean of 85 words per minute and a standard deviation of 22 words per minute. a. at what percentile is the child's reading level (round final answer to one decimal place).
This shows that they read less frequently than 95.7% of their classmates in the same grade level.
what is percentile ?In statistics, a percentile is a metric that is used to express where one observation stands in relation to a larger group of data. It displays the proportion of data points that fall under a given value. For instance, if a student achieves a score in the 90th percentile on a standardised test, it signifies that they outperformed 90% of their peers who also took the test. As an alternative, if a child is taller than 25% of children their age and shorter than 75%, their height is in the 25th percentile for their age.
given
We must first compute the z-score using the following formula to determine the percentile of the child's reading proficiency.
z = (x - μ) / σ
where x represents the child's reading rate, represents the grade-level mean reading rate, and represents the standard deviation.
Inputting the values provided yields:
z = (46.2 - 85) / 22
z = -1.727
We can calculate or use a conventional normal distribution table to obtain the value of 0.0428 for the region to the left of z = -1.727. The child's reading rate is at the 4.28th percentile according to this statistic.
As a result, the child's reading proficiency is 4.3 percentile (rounded to one decimal place).
This shows that they read less frequently than 95.7% of their classmates in the same grade level.
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simplify 4+5(3x - 2) - 3x
Answer:
12x - 6
Step-by-step explanation:
[tex] \rm \: 4 + 5(3x - 2) - 3x[/tex]
[tex] \rm \: = 4 + 15x - 10 - 3x \: \sf (distribute \: the \: 5)[/tex]
[tex] \rm= 12x - 6 \: \sf (combine \: like \: terms)[/tex]
[tex] \rm= 6(2x - 1) \: \sf (factor \: out \: a \: 6)[/tex]
[tex] \rm \: = 6(2x) - 6(1) \: \sf (distribute \: the \: 6)[/tex]
[tex] \rm \:= 12x - 6 \: \sf (simplify)[/tex]
bobby has 37 pineapples and johnny has 35 times more pineapples than bobby. how many more pineapples does johnny have than bobby?
Johnny has 1258 more pineapples than Bobby.
Bobby has 37 pineapples, Johnny has 35 times more pineapples than Bobby. To find how many more pineapples does Johnny have than Bobby, we can use the below formula,
More pineapples = Johnny's pineapples - Bobby's pineapples
Let x be the number of pineapples that Bobby has. Therefore, the number of pineapples owned by Johnny is 35x.
It is given that Bobby originally has 37 pineapples, thus x = 37. The number of pineapples Johnny has = 35*37 = 1295
Thus, difference in number of pineapples between Johnny and Bobby:
=1295-37 = 1258
Therefore, Johnny has 1258 more pineapples than Bobby.
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