The required value of the 30th percentile of the given data set 7 12 3 14 17 20 5 3 17 4 13 2 15 9 15 18 16 9 1 6 is equal to 5.
To find the value of the 30th percentile,
We need to sort the data set in ascending order first,
1, 2, 3, 3, 4, 5, 6, 7, 9, 9, 12, 13, 14, 15, 15, 16, 17, 17, 18, 20
The 30th percentile is the value below which 30% of the data falls.
To find this value, we can use the formula,
P = (n / 100) × x
where P is the desired percentile (30th percentile in this case),
n is the total number of data points,
And x is the rank of the value corresponding to the desired percentile.
Here,
The total number of data points n = 20
x = (30 / 100) × 20
= 6.
This means that the value corresponding to the 30th percentile is the 6th value in the sorted data set, which is 5.
Therefore, the value of the 30th percentile for the given data set is 5.
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Which number marks the center of Islamic learning
A.1
B.3
C.5
D.7
Answer: C.5
Step-by-step explanation:
What is the total cost of a $708 tablet computer that is on sale at 15% off if the local sales tax rate is 4%?
The total cost of the tablet is $
(Round to two decimal places
The required total cost of the tablet computer is $625.87.
How to find the cost of the tablet computer that is on sale at 15% off?
A sales discount, also referred to as a "discount," gives customers of a company a discount on one or more of the offered goods or services. Limits can be applied to almost any industry or business offering deals of an item or administration.
According to question:The discounted price of the tablet computer is:
[tex]$\begin{align*}708 \times 0.85 &= 601.80\end{align*}[/tex]
The sales tax on the tablet computer is:
[tex]$\begin{align*}601.80 \times 0.04 &= 24.072\end{align*}[/tex]
Therefore, the total cost of the tablet computer, including sales tax, is:
[tex]$\begin{align*}601.80 + 24.072 &= 625.87\end{align*}[/tex]
Therefore, the total cost of the tablet computer is $625.87.
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At a baseball game, 45% of the fans are wearing jackets. Also, 30% of the fans are wearing baseball caps. Whether a fan is wearing a jacket is independent of whether the fan is wearing a baseball cap. What is the probability that a randomly selected fan is not wearing a jacket and is wearing a baseball cap?
A13.5%
B16.5%
C75%
85%
Answer: The answer is (B) 16.5%.
Step-by-step explanation:
The table above shows the price for different numbers of business cards. Which equation models the
total cost
ASAP!!!
Which of the following tables represents a linear function?
Answer:
table 1
Step-by-step explanation:
You want to know which of the four given tables represents a linear function.
1.The x-values increase by 2; y-values decrease by 2/3. The rate of change is constant. This is a linear function.
2.The x-values increase by 2; y-values decrease, then increase again. The rate of change is not constant. This is not a linear function.
3.The x-values increase by 2; y-values increase by changing amounts. The rate of change is not constant. This is not a linear function.
4.The x-values repeat. This is not a function.
A diagram of a porch is shown. If the distance are measured in meters, find the area or the porch.
28 m
32 m
40 m
24 m
Answer: The answer is B, or 32 m.
Step-by-step explanation:
Answer:
32
Step-by-step explanation:
Given the cost function C(x) = 0.75 + 63, 180 and the revenue
function R(x) = 1.92x, find the break-even point.
The break-even point is 54,000 units given the cost function and revenue function.
The break-even point is the moment at which a product's sales revenue equals its production costs. There is currently neither a gain nor a loss.
This problem's cost function is C(x) = 0.75x + 63,180, where x is the total number of created units. R(x) = 1.92x, where x is the quantity of units sold, is the revenue function.
We must set the revenue equal to the expense in order to determine the break-even point:
R(x) = C(x) (x)
1.92x = 0.75x + 63,180
1.17x = 63,180
x = 54,000
Thus, 54,000 units are needed to break even.
This means that the money earned will be equivalent to the cost of creating the product if the company produces and sells 54,000 units of it. The corporation will make money on any units sold over this threshold while losing money on any units sold below it.
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Select the survey question that will produce categorical data. A. How long does it take to finish math homework each night? B. How much time do you spend on social media each day? C. What were the class scores on the last math quiz? D. What is your favorite snack food?
Answer:
3
Step-by-step explanation:
cdawwwwwwWhat is 518.1 rounded to the nearest whole number?
Answer:
518
Step-by-step explanation:
Since you are rounding to the nearest whole number.
518.1 would need to be 518.5 or higher to be 519 so anything below that would just round up the 518
Please please, please someone help me I've been struggling for so long and my teacher won't help :(
Answer with explanation:
Slope:hope you find this easy to understand....
Have any questions? Write in the comments.
give me brainliest if you found this answer useful
Find the exact area of a circle is the circumference is 58 π
Answer:
2640.74
Step-by-step explanation:
Circumference : π * 2r
Area of circle : π * [tex]r^{2}[/tex]
For this particular circumference,
Circumference : π * 58
58 = 2r
So by dividing we learn that,
r = 29
When we substitute the radius into the equation for area, we get,
Area of circle : π * [tex]29^{2}[/tex]
Area of circle : π * 841
Area of circle : 2640.74
* I used 3.14 as π
Hope this helps ! Feel free to ask questions! : )
of 4 goats give 4 kg milks in 4 days so how much milk given by 9 goats in 9 days?
Answer:
Step-by-step explanation:
supply. /. time. /. work
4. / 4 /. 4
1 /. 4. /. 1
9. /. 4 / 9
9 /. 9 / 20.25
you need to divide 9 by 4 and them multiply your 9 by what you got from the the division which is 2.25
Mr. Carlson is planning his daughter's birthday party at either a roller rink or at a laser tag facility. The roller rink charges $5 per guest for skate rental, plus $55 to reserve a private reception area. The laser tag facility charges $8 per guest for admission, plus $25 to reserve a private reception area. For what number of guests is the total cost the same at each location?
The total cost is the same for both locations when there are 10 guests.
To determine the number of guests for which the total cost is the same at each location, we need to set up an equation and solve for the number of guests (let's call it x).
Roller rink cost: 5x + 55
Laser tag cost: 8x + 25
Now, set the two costs equal to each other and solve for x:
5x + 55 = 8x + 25
Subtract 5x from both sides:
55 = 3x + 25
Subtract 25 from both sides:
30 = 3x
Divide by 3:
x = 10
So, the total cost is the same for both locations when there are 10 guests.
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Please help me right now
The graph of the function is in the image at the end, there we can see that the range is (-3, ∞)
Which is the range of the function?Remember that the range of a function is the set of the possible outputs of a function.
Here we have the function:
f(x) = (1/2)ˣ - 3
The graph of the function is in the image at the end.
There we need to look at the vertical axis to identify the range, here we can see that the function goes from y = -3 upwards (asymptothically), then the range is (-3, ∞)
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+10 and -10, are 10 units from 0 on the number line. Enter the correct answer.
It is true that +10 and -10, are 10 units from 0 on the number line
How to determine the true statementfrom the question, we have the following parameters that can be used in our computation:
Numbers = +10 and -10
The number of units of these numbers from 0 is calculated as
Units = |0 - Number|
So, we have
Units = |0 - 10| = 10
Units = |0 + 10| = 10
This means that the number of units is 10
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A cube-shaped box has edges
that are 6 centimeters long. The
box does not have a top. What is
the surface area of the box?
Pete scored 3/9 of the goals in a game. If Pete scored 9 goals, how many goals were scored in total
Answer:
then he's scored all the goals 9/9
Find the surface area of the triangular prism.
list the length, width, height, and base.
The surface area of the given figure is 90sq inches which include 3 rectangular faces and two triangular faces.
EquationsArea of 1 rectangular face is 6.5x5=32.5.
Area of 2 rectangular face is 5x6=30
Area of 3 rectangular face is 2.5x5=12.5
Area of the two triangluar faces= 2.5x6x0.5x2=15
Total area is 90 sq inches.
What is surface area of joined figures?To find the surface area of a joined figure, we need to add up the surface areas of all the individual components of the figure.
For example, if we have a figure made up of a rectangular prism and a pyramid attached to the top, we can find the surface area by first calculating the surface area of the rectangular prism:
Surface area of the rectangular prism = 2lw + 2lh + 2wh
Surface area of the pyramid = (1/2)3.14 + B
Finally, we add the surface area of the rectangular prism to the surface area of the pyramid to get the total surface area of the joined figure.
Total surface area = Surface area of the rectangular prism + Surface area of the pyramid
This method can be applied to any joined figure made up of multiple components. We just need to find the surface area of each individual component and then add them up.
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find the circumference of the base of circular flower pot with a diameter of 16.2
The circumference of the base of a circular flower pot with a diameter of 16.2 is 50.92.
Circumference of the circle or perimeter of the circle is the measurement of the boundary across any two-dimensional
circular shape including circle.
The circumference of a circle is the distance around its boundary.
If d is the diameter of the circle, then the circumference is given by:
Circumference = π × d
Circumference = π × 16.2
Using π ≈ 3.1415926,
we can calculate the circumference:
Circumference ≈ 3.1415926 × 16.2
Circumference ≈ 50.92
Therefore, the circumference of the base of a circular flower pot with a diameter of 16.2 is approximately 50.92.
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find a ratio that compares the relative sizes of the quantities
24 ounces to 12 pounds
We need to convert both quantities to the same units before we can compare them.
24 ounces is equal to 1.5 pounds (since there are 16 ounces in 1 pound).
So the ratio of 24 ounces to 12 pounds can be written as:
1.5 pounds : 12 pounds
Simplifying this ratio by dividing both sides by 12, we get:
0.125 : 1
Therefore, the ratio that compares the relative sizes of 24 ounces to 12 pounds is 0.125 : 1.
please I need right answers
Based on the given information, the angle is C. 22.1° an A. 20.4°.
What are Trigonometric functions?Trigonometric functions are mathematical functions that relate the angles and sides of a right triangle.
The basic trigonometric functions are:
Sine (sin): the ratio of the length of the side opposite an angle to the length of the hypotenuse of the triangle.
Cosine (cos): the ratio of the length of the side adjacent to an angle to the length of the hypotenuse of the triangle.
Tangent (tan): the ratio of the length of the side opposite an angle to the length of the side adjacent to the angle.
We can use the trigonometric function tangent to find angle R in the right triangle:
tan(R) = opposite/adjacent = PQ/QR
tan(R) = 5.2/13.4
R = tan⁻¹(5.2/13.4)
R ≈ 22.1°
Therefore, the answer is C. 22.1° rounded to one decimal place.
Using the Pythagorean theorem, we can find the length of side AB:
AB = √(AC² - BC²)
= √(25² - 10²)
= √(575)
Now we can use the sine function to find the measure of angle C:
sin(C) = BC/AB
C = sin⁻¹(BC/AB)
= sin⁻¹(10/√(575))
≈ 20.4°
Therefore, the answer is A) 20.4°.
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What is 3.254 rounded to the nearest hundredth?
Answer: 3.25
Step-by-step explanation:
To round 3.254 to the nearest hundredth, we need to look at the digit in the thousandth place, which is 4. Since 4 is less than 5, we do not need to round up the hundredth digit (5) to the next higher number. Therefore, the rounded number to the nearest hundredth is:
please choose my answer as brainly
What is the solution to this system?
Thw solution to the given system of equations as required to be determined in the task content is; (-1, 0).
What is the solution to the given system of equations?It follows from the task content that the solution to the given system of equations is to be determined as required.
since the given equations are;
y = -3x - 3 and y = 4x + 4
Since; y = y
-3x - 3 = 4x + 4
7x = -7
x = -7 / 7
x = -1.
and y = -3 (-1) - 3; y = 0.
Ultimately, the solution (x, y) to the given system of equations as required to be determined is; (-1, 0).
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Помогите срочно решить эту задачу! Дам все свои баллы за эту задачу.
Line passing through the points H(- 25.16) and 1(- 2.5).
Answer:
I'm assuming that 1 is actually a point with coordinates (1, something) and you meant the point H(25,-16).
To find the equation of the line passing through two points (x1,y1) and (x2,y2), we can use the point-slope form:
y - y1 = m(x - x1)
where m is the slope of the line, which can be calculated as:
m = (y2 - y1) / (x2 - x1)
Using the points H(25, -16) and 1(-2.5, y), we have:
m = (-16 - y) / (25 - (-2.5)) = (-16 - y) / 27.5
Multiplying both sides by 27.5, we get:
-16 - y = -0.58x + b
where x is the x-coordinate and b is the y-intercept of the line. To find b, we plug in one of the points (let's use H) and solve for b:
-16 - (-16) = -0.58(25) + b
b = -16 - (-14.5) = -1.5
Therefore, the equation of the line passing through H(25, -16) and 1(-2.5, y) is:
y + 1.5 = -0.58(x + 2.5)
or:
y = -0.58x - 4.25
Note: I assumed that you meant H(25,-16) and I used -2.5 as the x-coordinate for point 1 because you didn't specify what it was.
What is the output of the function when the input is 10? On the graph, plot this point and label its coordinates
2 What is the input to the function when the output is 5? On the graph, plot this point and label its coordinates
45
dollars on card
40
35
330
25
20
15
10
5
Undo
N
3
4
5
9
P= (7,27,5)
7 8
9 10 11 12 13 14 15 16 17 18 19
number of rides
Answer:
I'm sorry, but your request is unclear. Can you please provide more context or information so that I can better understand and assist you? Thank you.
Mirando asked Jimmy, "Do you have a college degree?"
Is this a statistical question?
Choose 1 answer:
Answer: No, it’s not a statistical question
Step-by-step explanation:this question only pertains to one person and it not something that can be represented as a statistic.
Charles has two six-sided die. one of the die is fair, and the other die is biased so that it comes up six with probability 2 3 and each of the other five sides has probability 15 1 . charles chooses one of the two dice at random and rolls it three times. given that the first two rolls are both sixes, the probability that the third roll will also be a six is p q, where p and q are relatively prime positive integers. find p q. (2014 aime ii problem 6 )
The value of P and Q is 35.
Let's first understand the given information:
Charles has two six-sided dice, one fair and one biased. The fair die has equal probabilities for each side (1/6). The biased die has a 2/3 probability for rolling a six and 1/15 probability for each of the other five sides. Charles chooses a die randomly and rolls it three times.
Given that the first two rolls are sixes, we are asked to find the probability that the third roll will also be a six, expressed as a simplified fraction p/q.
We can solve this problem using conditional probability. Let A be the event that Charles chooses the biased die, and B be the event that he rolls three sixes in a row. We want to find the probability of B given A.
P(B|A) = P(A ∩ B) / P(A)
Since Charles chooses the die randomly, P(A) = 1/2. To find P(A ∩ B), we need to find the probability that Charles chooses the biased die and rolls three sixes in a row. This can be calculated as:
P(A ∩ B) = P(A) * P(rolling three sixes with the biased die) = (1/2) * (2/3)^3
Now we can find P(B|A):
P(B|A) = P(A ∩ B) / P(A) = ((1/2) * (2/3)^3) / (1/2) = (2/3)^3 = 8/27
Thus, the probability that the third roll will also be a six, given that the first two rolls are sixes, is 8/27, so the answer is p + q = 8 + 27 = 35.
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a person on a 2,500 calorie diet states that they are healthier than a person on a 2,000 calorie diet because they eat more from veggies.Explain why this is or is not accurate.?????
please help i need it now pleas.
t is not accurate to claim that someone is healthier simply because they consume more calories or more vegetables. A variety of factors, including the quality and nutrient density of the food consumed, physical activity levels, genetics, and overall lifestyle choices, all contribute to overall health. Therefore, it is important to consider a comprehensive approach to evaluating health rather than relying solely on calorie intake as a metric.
What is genetic?
Genetics refers to the study of genes, heredity, and variation in living organisms. Genes are segments of DNA that contain instructions for building and maintaining an organism, and they are passed down from parents to their offspring through reproduction.
Simply comparing the number of calories consumed by two individuals is not a sufficient way to determine who is healthier. While consuming a diet with a variety of vegetables can certainly contribute to good health, there are many other factors that can affect overall health.
For example, the quality and nutrient density of the food consumed is important, not just the quantity. A person consuming 2,000 calories from nutrient-dense whole foods, including a variety of vegetables, may be healthier than someone consuming 2,500 calories from highly processed, nutrient-poor foods.
Additionally, individual factors such as physical activity levels, genetics, and overall lifestyle choices can also impact overall health. Therefore, it is important to take a comprehensive approach to evaluating health rather than relying solely on calorie intake as a metric.
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Answer the question correctly.