The answer is C) 195/8
First, we can use the fact that A, B, C, D, E, and F are concyclic and that D, E, and F are the midpoints of AB, BC, and AC respectively.
Let r be the radius of the circumcircle of triangle ABC. Then using the Pythagorean theorem, we can find that r = (151413) / (4*K) where K is the area of the triangle.
Now we can use the property that the perpendicular bisectors of any triangle pass through the circumcenter of the triangle. We know that the midpoint of a line segment is the foot of the perpendicular from that point to the other endpoint. Then we can use the property that the radius from the circumcenter of the triangle to the midpoint of a side is half the length of that side.
Therefore, the circumcenter of triangle BDE is located at X = (BD/2, DE/2) = (13/2, 7/2) and the circumcenter of triangle CEF is located at X = (CE/2, EF/2) = (15/2, 7/2).
So the coordinates of X are (13/2, 7/2) and since the circumcenter of a triangle is equidistant from each vertex of the triangle, we can find that XA = XB = XC = r = r = (151413) / (4*K)
Therefore, XA + XB + XC = 3r = 3(151413) / (4*K) = (195/8)
So the answer is c. 195/8.
To learn more about triangles visit: brainly.com/question/2773823
#SPJ4
Find the slope of a line that is perpendicular to the line through the points (4.95, 5.96) and (8.01, 21.03). Enter your answer as a fraction.
The slope of a line that is perpendicular to the line through the points is - 25/123
Slope of Line
The change in the y-coordinate relative to the change in the x-coordinate of a line is referred to as the slope of that line. The net change in the y-coordinate is y, while the net change in the x-coordinate is x. As a result, the change in the y-coordinate with regard to the change in the x-coordinate may be expressed as,
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Relation between the slope of two lines perpendicular to each otherThe reciprocal of the perpendicular line's slope is negative. This implies that you switch the slope's sign to its opposite.
m₁ × m₂ = -1
Where,
m₁ = Slope of the first line
m₂ = Slope of the second line
According to the question
Given
points A (4.95, 5.96) and B (8.01, 21.03)
So the equation of the line passing from these two points will be
(y - y₁) = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex] (x - x₁)
So the equation we get will be
(y - 5.96) = [tex]\frac{21.03 - 5.96}{8.01 - 4.95}[/tex] (x - 4.95)
⇒ y - 5.96 = 4.92 (x - 4.95)
⇒ y - 5.96 = 4.92x - 24.55
⇒ y = 4.92x - 18.39
This is the required equation passing from the two given points with slope m = 4.92 ⇒ m = 123/25
Now
∵ m₁ × m₂ = -1
∴ (123/25) × m₂ = -1
⇒ m₂ = - (25/125)
Hence, the slope of a line that is perpendicular to the line through the points is - 25/123
To know more about perpendicular lines on brainly : brainly.com/question/18271653
#SPJ4
The slope of a line that is perpendicular to the line through the points is - 25/123
Slope of LineThe change in the y-coordinate relative to the change in the x-coordinate of a line is referred to as the slope of that line. The net change in the y-coordinate is y, while the net change in the x-coordinate is x. As a result, the change in the y-coordinate with regard to the change in the x-coordinate may be expressed as,
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Relation between the slope of two lines perpendicular to each otherThe reciprocal of the perpendicular line's slope is negative. This implies that you switch the slope's sign to its opposite.
m₁ × m₂ = -1
Where,
m₁ = Slope of the first line
m₂ = Slope of the second line
According to the question
Given
points A (4.95, 5.96) and B (8.01, 21.03)
So the equation of the line passing from these two points will be
(y - y₁) = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex] (x - x₁)
So the equation we get will be
(y - 5.96) = [tex]\frac{21.03 - 5.96}{8.01 - 4.95}[/tex] (x - 4.95)
⇒ y - 5.96 = 4.92 (x - 4.95)
⇒ y - 5.96 = 4.92x - 24.55
⇒ y = 4.92x - 18.39
This is the required equation passing from the two given points with slope m = 4.92 ⇒ m = 123/25
Now
∵ m₁ × m₂ = -1
∴ (123/25) × m₂ = -1
⇒ m₂ = - (25/125)
Hence, the slope of a line that is perpendicular to the line through the points is - 25/123
To know more about perpendicular lines on brainly : brainly.com/question/18271653
#SPJ4
please help with number 8
Answer:
d,e,f,g,h
Step-by-step explanation:
all those are function bc the x value doesn't repeat meaning the x value has only one y-value
Find the value of x in the triangle shown below.
Answer: B square root of 40
Step-by-step explanation:
You're trying to find the length of the hypotenuse so you need to use the formula a^2 + b^2 = c^2
c = x
a = 2
b = 6
So 2^2 + 6^2 = x^2
Which equals: 4 + 36 = x^2
This can be simplified into 40 = x^2
And to get x by itself, just take the square root of each side: Square root of 40 = x
How do you put it into standard form
What does it mean by included or not includee points in plotting points on quadratic inequality?
When plotting points on a quadratic inequality, the "included" points refer to the points that satisfy the inequality, and the "not included" points refer to the points that do not satisfy the inequality.
What is quadratic inequality?Generally, A quadratic inequality is an inequality that can be written in the form of
ax^2 + bx + c > 0 or ax^2 + bx + c < 0,
where a, b, and c are constants and x is a variable.
These types of inequalities can be solved using the same methods as solving quadratic equations, with the added step of testing the solutions in the original inequality to determine whether they are valid solutions.
Simply put, an equation of the kind with the greatest degree two and no equal sign is known as a quadratic inequality. There is a technique for resolving quadratic inequalities called the wavy curve approach. It is the same to solve quadratic equations as it is to solve quadratic inequalities.
For example, if the inequality is "y > x^2," the points that are above the parabola y = x^2 would be included, and the points that are below the parabola would be not included.
Read more about quadratic inequality
https://brainly.com/question/6069010
#SPJ1
Is 78.120 less than 78.2
What is the inverse of 1 2?
The inverse of a point (1, 2) on a graph would be the point (2, 1) because it's the reflection of the point (1, 2) over the line y = x.
In general, the inverse of a point (x, y) on a graph is the point (y, x). This is because when we switch the x and y coordinates of a point, we are reflecting it over the line y = x, which is the line of symmetry of the inverse function.
Inverse functions are mathematical operations that "reverse" each other. For example, if f(x) = 2x, then the inverse function f^-1(x) = x/2, when you apply f(x) and then f^-1(x) to a number you'll get the same number, so f^-1(f(x))=x, that's why they are called inverse. Inverse functions are only defined for bijective functions.
To know more on Inverse functions
https://brainly.com/question/2541698
#SPJ4
Part 1. determine the molar mass of a 0.622-gram sample of gas having a volume of 2.4 l at 287 k and 0.850 atm. show your work.
part 2. if this sample was placed under extremely low temperature, describe how the actual volume would compare to the predicted volume. explain your answer. (8 points)
As a result, from the equation a 0.622-gram sample of gas with a 2.4-liter volume and 287 K and 0.850 atm has a 7.18-gram molar mass.
What is equation?An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14.
An ideal gas is a gas in which the particles (a) do not attract or repel one another and (b) take up no space (have no volume).
[tex]V = 2.4 L = 0.0024\\P = 86126.25 Pa\\T = 287 K\\m = 0.622\\R = 8.314[/tex]
The ideal gas equation is given below.
[tex]n = PV/RT\\n = 86126.25 x 0.0024 / 8.314 x 287\\n = 0.622 / molar mass (n = Avogardos number)\\Molar mass = 7.18 g[/tex]
As a result, a 0.622-gram sample of gas with a 2.4-liter volume and 287 K and 0.850 atm has a 7.18-gram molar mass.
To know more about equation visit:
https://brainly.com/question/649785
#SPJ4
all real numbers that are less than or equal to -8 or greater than 12
Answer:
[tex]-8 \leq x \leq -3[/tex]
Step-by-step explanation:
[tex]-8 \leq x \leq -3[/tex] this is the expression you are looking for.
Answer:
Step-by-step explanation:
12 < x ≤-8
your phone plan charges you an initial fee of $50 plus $.25 per minute. if your bill last month was $225, how many minutes did you use? question 6 options: a) 725 minutes b) 700 minutes c) 650 minutes d) 600 minutes
To find the total number of minutes used, divide $175 by the $.25 per minute charge. This equals 650 minutes, meaning the user had used 650 minutes throughout the month.
$50 initial fee + $.25 per minute = $225
$225 - $50 = $175
$175 / $.25 = 650 minutes
The initial fee for the phone plan was $50, and for every minute used, an additional $.25 was charged. Last month's bill was $225, so subtracting the $50 initial fee from the total cost of the bill leaves $175, which is the cost of the minutes used. To find the total number of minutes used, divide $175 by the $.25 per minute charge. This equals 650 minutes.
The phone plan charges an initial fee of $50 for the month, as well as an additional $.25 for every minute used. Last month's bill was $225, so to find the total number of minutes used, subtract the $50 initial fee from the total cost of the bill. This results in $175, which is the cost of the minutes used. To find the total number of minutes used, divide $175 by the $.25 per minute charge. This equals 650 minutes, meaning the user had used 650 minutes throughout the month.
A user's phone plan last month costed $225, which included an initial fee of $50 plus $.25 for every minute used. After subtracting the initial fee from the total bill cost, $175 was left which was the cost of the minutes used. Dividing this number by the $.25 per minute charge reveals that the user had used 650 minutes.
learn more about number here
https://brainly.com/question/10547079
#SPJ4
michael rows his boat 16.8 miles down the stream in 3 hours. it takes michael 4 hours to row back up the same stream. determine michael's rowing speed in still water and the speed of the water current.\
Therefore , the solution of the given problem of speed comes out to be
v=10mph is the michael speed in water.
Explain speed.Distance-based speed is a gauge of how quickly something is moving. The amount of distance a moving object may move in a certain length of time depends on its speed. Speed is calculated using the following equation: velocity = distance x time. The most used units for gauging speed are meters per second (m/s), kilometers per hour (km/h), and kilometers per second (mph) (mph).
Here,
Given :The issue can be rapidly resolved after an equation has been established. Consider the equation time = distance/velocity. Let the speed of moving water equal v. The distance, 182 miles, will be the same both ways.
Downstream time =182/(v+3)
Downstream time + 12 = 182 (v-3)
Set t to the downstream time. Set t=t!
182/(v+3) = 182/(v-3) - 12
Denominators are eliminated by dividing both side by (v+3) (v-3).
12v2 turns out to equal 1200.
Hence, v=10 mph!
Therefore , the solution of the given problem of speed comes out to be
v=10mph is the michael speed in water.
To know more about speed , visit
brainly.com/question/2004627
#SPJ4
What is the relationship between the following? Why?
The relationship between the expressions is that these are inverses.
What is the relationship between the expressions?Here we want to find the relationship between:
logₐ(n) = logₙ(a)
(I changed the variable b for n)
Remember the definition of a logarithm with a base, we can rewrite it as:
logₐ(n) = ln(n)/ln(a)
If we write both of the expressions in that form, we will get:
logₐ(n) = logₙ(a)
ln(n)/ln(a) = ln(a)/ln(n)
So, as you can see, the two expressions are inverses, that is the relation.
Learn more about logarithms:
https://brainly.com/question/13473114
#SPJ1
The values of a,b,c, and d are 1, 2, 3 and 4, though not necessarily in that order. what is the greatest possible value of ab+bc+cd+da?
The values of a, b, c, and d are 1, 2, 3 and 4, though not necessarily in that order. The greatest possible value of ab + bc + cd + da is 25.
Greatest Possible Value:
For any number, whether decimal or integer, the leftmost non-zero digit is most significant. For decimals, this digit is the first non-zero digit to the right of the decimal point, and for integers it is the first digit in a series of numbers. For example, in the fraction 0.00163925, the most significant digit is 1. In the integer 2,473,981, the most significant digit is 2. Rounding off the most significant digit in these two examples gives a fraction of 0.002 and an integer of 2,000,000.
Given That:
The Values of a, b, c and d is 1 ,2 ,3 and 4
Therefore,
4× 2 + 2 × 1 + 1 × 3 +3 × 4
= 25
Therefore, the greatest possible value of ab + bc + cd + da is 25.
Learn more about Values:
https://brainly.com/question/30145972
#SPJ4
VX is a midsegment of UWY
If UY = 13p - 1 and VX = 20p - 95, what is UY
Solving for UY. in the figure provided where VX is a midsegment of UWY, UY is 90
What are similar triangles?When the comparable triangles' angles are congruent and their respective sides are proportionate, this is referred to as similar triangles in geometry.
In light of this, if the triangle's corresponding angles are congruent, then the side should be proportionate.
For the given figure, the proportionate sides are
WV and VX, WU and UY
Solving for P
WV / VX = WU / UY
1 / (20p - 95) = 2 / (13p - 1)
cross multiplying
13p - 1 = 2(20p - 95)
13p - 1 = 40p - 190
collecting like terms
190 - 1 = 40p - 13p
189 = 27p
p = 7
solving for UY
= 13p - 1
= 13 * 7 - 1
= 90
Learn more about similar triangles at:
https://brainly.com/question/2644832
#SPJ1
The product of a number, x, and 0.28 is 13.44. Which equation matches this statement?
Answer Selection
0.28 divided x = 13.44
0.28x = 13.44
13.44x = 0.28
x divided 13.44 = 0.28
Answer: The correct equation that matches the statement "The product of a number, x, and 0.28 is 13.44" is:
0.28x = 13.44
This equation states that when a number x is multiplied by 0.28, the result is 13.44.
Step-by-step explanation:
The roots of the equation x^2+bx+c=0 are -4 and 2. Find c
Answer: -8
Step-by-step explanation:
the number of hours a lightbulb burns before failing varies form bulb to bulb. the population distribution of burnout times is strongly skweed to the right. the central limit theorem says that
The central limit theorem states that if a large enough sample is taken from a population with a strongly skewed distribution, the distribution of the sample means will be approximately normal, regardless of the shape of the population distribution.
This means that even if the population distribution of burnout times for lightbulbs is strongly skewed to the right, if a large enough sample of burnout times is taken, the distribution of sample means will be approximately normal. This allows for the use of standard statistical techniques, such as calculating a mean and standard deviation, for making inferences about the population.
It is important to note that for the central limit theorem to hold, the sample size should be large enough, usually n>30.
To know more on central limit theorem
https://brainly.com/question/898534
#SPJ4
Please hurry! Help and hurry ! But no false answer !
Answer:
50.3 square units
Step-by-step explanation:
area of rectangle: 11 x twice the radius
radius = 2
A(rect): = 11(4) = 44 sq units
A (semi-circle) = (π·r²) / 2
A = 4π / 2 = 2π = 6.28 sq units
44.0 + 6.28 = 50.28
Enter the finite geometric series from its given description, and then enter its sum.
A geometric series that starts with 6, ends with -18,750, and has a common ratio of -5.
The geometric series is __
The sum of the geometric series is __
The geometric series is 6, -30, 150, -750, 3750, -18750 and the sum of the geometric series is -15624.
How to find the geometric series?
A geometric series is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number called the common ratio.
The geometric series that starts with 6, ends with -18,750, and has a common ratio of -5 is:
6, -30, 150, -750, 3750, -18750.
The sum of the geometric series is the sum of all the terms in the series. To find the sum of the series, you can use the formula:
S = a(1 - rⁿ)/(1 - r)
Where:
S is the sum of the series
a is the first term of the series
r is the common ratio
n is the number of terms in the series
In this case, a = 6, r = -5 and n = 6. Thus:
S = 6(1 - (-5)⁶)/(1 - (-5))
S = 6(1 - 15625)/(1 + 5)
S= 6(-15624)/6
S = -15624
Thus, the sum of the geometric series is -15624.
Learn more about geometric series on:
brainly.com/question/24643676
#SPJ1
tdap is a booster shot that prevents diphtheria, tetanus, and pertussis in adults and adolescents. it should be administered every 8 years for it to remain effective. a random sample of 500 people living in a town that experienced a pertussis outbreak this year were divided into two groups. group 1 was made up of 132 individuals who had not had the tdap booster in the past 8 years, and group 2 consisted of 368 individuals who had. in group 1, 15 individuals caught pertussis during the outbreak, and in group 2, 11 individuals caught pertussis. is there evidence to suggest that the proportion of individuals who caught pertussis and were not up to date on their booster shot is higher than those that were? test at the 0.05 level of significance.
Answer: To determine if there is evidence to suggest that the proportion of individuals who caught pertussis and were not up to date on their booster shot is higher than those that were, we can conduct a two-sample proportion test.
The null hypothesis is that the proportion of individuals who caught pertussis and were not up to date on their booster shot is the same as the proportion of individuals who caught pertussis and were up to date on their booster shot.
H0: p1 = p2
The alternative hypothesis is that the proportion of individuals who caught pertussis and were not up to date on their booster shot is higher than the proportion of individuals who caught pertussis and were up to date on their booster shot.
Ha: p1 > p2
Using a two-sample proportion test with a significance level of 0.05, we can calculate the test statistic and p-value.
p1 = 15/132 = 0.1136
p2 = 11/368 = 0.0301
p = (15 + 11)/(132 + 368) = 0.0564
SE = sqrt{p(1-p)((1/132)+(1/368))} = 0.0165
z = (p1 - p2) / SE = 4.0491
p-value = P(z > 4.0491) = 0.0000
Since the p-value is less than the significance level of 0.05, we reject the null hypothesis and conclude that there is evidence to suggest that the proportion of individuals who caught pertussis and were not up to date on their booster shot is higher than those that were.
Step-by-step explanation:
Two workers laid 250 bricks. If Ram had laid twice as many as he did and Shyam had laid half as many as Ram did, there would have been 50 bricks left over. How many bricks did each lay?
Ram and Shyam laid 80 and 170 bricks respectively.
What is an equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
Given that, Two workers laid 250 bricks. If Ram had laid twice as many as he did and Shyam had laid half as many as Ram did, there would have been 50 bricks left over.
Let each of them initially laid x and y bricks,
Therefore, establishing the equations,
x + y = 250....(i)
According to later condition,
2x + x/2 = 200
4x + x = 400
5x = 400
x = 80
Put x = 80, in equation (i)
80 + y = 250
y = 170
Hence, Ram and Shyam laid 80 and 170 bricks respectively.
Learn more about equations, click;
https://brainly.com/question/29657983
#SPJ1
If 2xsquare - 2ysquare=125 and x-y= 2.5 find the value of x + y
The value of (x + y) is 25.
What is solving an equation?
We must use arithmetic operations to separate the variables in order to solve any equation.
The same number is added on both sides.
Taking away the same number from both sides.
using the same number on both sides of the multiplication.
using the same number on both sides to divide.
Consider, the given equations
2x^2 - 2y^2 = 125 ..(1)
x - y = 2.5 ..(2)
From equation (1)
x^2 - y^2 = 125/2
By using: [tex]a^2 - b^2 = (a - b)(a + b)[/tex]
⇒ (x - y)(x + y) = 125/2
Given: (x - y) = 2.5
⇒ 2.5*(x + y) = 125/2
(x + y) = 125/(2*2.5)
x + y = 125/5
x + y = 25
Hence, the value of (x + y) is 25.
To know more about solving an equation, click on the link
https://brainly.com/question/22688504
#SPJ1
The octagon shown below eight congruent sides.What is the area,to the nearest square centimeter of the octagon?
The area of the octagon, to the nearest square centimeter, is 628 cm^2.
What is octagon?Octagon is a two-dimensional shape with eight sides and eight angles. It is a polygon with eight vertices, and it is one of the most widely recognized geometric shapes. It is often used in architecture, as well as in signage and logo designs. Octagons can also be found in nature, such as in the shape of honeycomb cells, some flower petals, and certain animal eyes.
To calculate the area of an octagon, we need to first calculate the length of the side. To do this we use the formula for the perimeter of an octagon: P = 8s, where s is the length of the side. Solving for s: s = P / 8.
The perimeter of the octagon is 80 cm. So the length of the side is 80 cm / 8 = 10 cm. Now we can use the formula for the area of an octagon: A = 2(1 + √2) s^2. Plugging in our value for s, we get: A = 2(1 + √2) (10 cm)^2 = 628.3 square cm. The area of the octagon, to the nearest square centimeter, is 628 cm^2.
To know more about octagon click-
https://brainly.com/question/27389561
#SPJ1
identify each mapping as a translation, reflection, rotation, or glide reflection. write the rule for each translation, reflection, rotation, or glide reflection. for glide reflections, write the rule as a composition of a translation and a reflection.
A translation is a mapping of a figure in a direction and distance without changing its orientation. The rule for a translation is of the form (x, y) -> (x + h, y + k), where h and k are the horizontal and vertical distances of the translation, respectively.
A reflection is a mapping of a figure across a line, called the line of reflection, without changing its size or orientation. The rule for a reflection is of the form (x, y) -> (x, -y) or (x, y) -> (-x, y), depending on whether the line of reflection is horizontal or vertical, respectively.
A rotation is a mapping of a figure around a point, called the center of rotation, by a certain angle. The rule for a rotation is of the form (x, y) -> (x', y'), where x' and y' are the coordinates of the rotated point, and are given by x' = xcos (theta) - ysin(theta) and y' = xsin(theta) + ycos(theta), where theta is the angle of rotation.
A glide reflection is a composition of a translation and a reflection. The rule for a glide reflection is of the form (x, y) -> (x + h, -y) or (x, y) -> (x, -y + k), depending on whether the line of reflection is horizontal or vertical, respectively, and h or k is the distance of translation.
To know more about glide reflection refer to:
brainly.com/question/2254222
#SPJ4
a consumer group surveyed 146 airplane travelers after a flight and found that 132 of them would fly that airline again. find the standard error for the sample proportion of airline travelers who would fly on that airline again.
According to the given information the standard error for the sample proportion is 0.024.
How is percentage calculated?When determining if two ratios as well as fractions are equivalent, using proportion formula is utilized. By dividing the supplied numbers, we may determine the missing value. One way to express the percentage formula is as a: Whereas a and d are indeed the extremes values and b and c are indeed the mean terms, a: b::c : d = a/b = c/d
Sample size (n) = 146 participants
The percentage (p) of respondents who said they would be interested in attending the program again is as follows:
[tex]\begin{aligned}& p=\frac{132}{146} \\& p=0.9041\end{aligned}[/tex]
For a sample of size "n" and percentage "p," the standard error is as follows:
[tex]\begin{aligned}& S E=\sqrt{\frac{p *(1-p)}{n}} \\& S E=\sqrt{\frac{0.9041 *(1-0.9041)}{146}} \\& S E=0.024\end{aligned}[/tex]
The sample percentage of viewers who wish to see the show again has a standard error of 0.024.
To know more about proportion visit:
https://brainly.com/question/15244552
#SPJ4
in a statistics activity, students are asked to determine if there is a difference in the proportion of times that a spinning penny will land with tails up, and the proportion of times a spinning dime will land tails up. the students are instructed to spin the penny and the dime 30 times and record the number of times they land tails up. for one student, the penny lands tails side up 18 times, and the dime lands tails side up 20 times. assuming the conditions for inference are met, what is the 98% confidence interval for the difference in proportions of tails side up for a penny and a dime?
The 98% confidence interval for the difference in proportions of tails side up for a penny and a dime would lie between -0.2 and 0.6.
What is statistics?Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, and presentation of data. It is used to summarize, analyze, and compare data in order to draw conclusions and make decisions. Statistical methods are used in a wide variety of fields, including economics, finance, business, engineering, medicine, psychology, social sciences, and many others.
Statistics helps us to understand the behavior of a large number of variables by studying their distributions, relationships, and other patterns. Statistical methods are used to describe and summarize the data, estimate parameters of the population, test hypotheses, and make predictions. Statistical analysis can be used to draw conclusions about the population based on sample data and to determine the probability of certain events occurring. Statistical techniques are used to identify trends and patterns in data, as well as to assess relationships between variables.
This confidence interval can be calculated using the formula for a confidence interval for two proportions, which is: CI = p1 - p2 ± (1.96 x √[(p1(1-p1)/n1) + (p2(1-p2)/n2)]).
In this case, p1 is the proportion of times a spinning penny lands with tails up (18/30 = 0.6), p2 is the proportion of times a spinning dime lands with tails up (20/30 = 0.67), n1 is the number of times the penny was spun (30) and n2 is the number of times the dime was spun (30). Plugging these values into the formula yields a confidence interval of -0.2 and 0.6.
This means that we can be 98% confident that the difference in proportions of tails side up for a penny and a dime lies between -0.2 and 0.6.
To know more about statistic click-
https://brainly.com/question/15525560
#SPJ4
Quadrilateral LMNP has vertices at L(-4,3), M (2,7), N(9,3), and P(-3,-5).
-
Quadrilateral LMNP has four vertices at the coordinates: L(-4,3), M(2,7), N(9,3), and P(-3,-5).
These vertices can be plotted on to a Cartesian coordinate plane in order to form a quadrilateral shape. The shape of the quadrilateral which can be determined by the relative positions of its one of vertices, such as whether to check it is a rectangle, square, parallelogram, or any other type of quadrilateral as such . However, without more information or proper data , it is not possible to determine whether the quadrilateral is having the exact shape of quadrilateral LMNP from just its vertices or not .It is a type of polygon which contains 4 sides, 4 vertices and 4 angles. To make a one quadrilateral and contains four non-collinear points which are joined and the sum of all the interior angles and exterior angles is always equal to 360 degrees as we know . The word ‘Quadrilateral’ was initiated from Latin words ‘Quadra’ and ‘Latus’ which meant four and sides respectively.
To know more about quadrilateral click here:
brainly.com/question/29934440
#SPJ4
If you multiply the age
of ann with 3 and
If you multiply
multiply the age
Subtract 1 from the result, you get the age
of her father. If you multiply the age of Ann
in 12 years with 2 and Subtract one from the
result you get the age of her father in 12 years,
How old is Ann now?
The length of a rectangular chart is thrice its breadth. The perimeter of the chart is $168$ cm. Which of these equations can be set up for this situation, if $b$ is the breadth of the chart
The required dimensions of the given rectangle are a breadth of 21 meters and a length of 63 meters.
What do we mean by dimensions?The homes we live in and the items we use on a daily basis all have three dimensions: height, length, and width.
The minimal set of coordinates required to specify any point within a mathematical space is known as the dimension of the space in physics and mathematics.
So, the dimensions of the rectangle are:
Let the dimensions of this rectangle be x for the width and 3x for the length.
2(Length + Breadth) =perimeter of rectangular park.
2( 3x + x ) = 168 metres.
6x + 2x = 168 metres.
8x = 168 metres.
x = (168/8) metres.
x = 21 metres.
Now,
Breadth: x = 21 metres
Length: 3x = 3× 21 = 63 metres
Therefore, the required dimensions of the given rectangle are a breadth: of 21 meters and a length of 63 meters.
Know more about dimensions here:
https://brainly.com/question/27404871
#SPJ4
Correct question:
The length of a rectangular park is thrice its breadth and if the perimeter of the park is 168 meters, find its dimensions.
PLEASE HELP DUE IN 10 MINUTES
The box-and-whisker plot below represents some data set. What percentage of the
data values are between 30 and 55?
Answer:
31.25%
Step-by-step explanation:
55- 30 = 25
25/80 x 100 = 125 /4 or 31.25%
I am assuming that the sample size is between 10 and 80.
Cheers
Answer:
31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54
