Answer: 126
Step-by-step explanation: Given that the median is the middle number in a sorted, ascending, or descending list of numbers and can be more descriptive of that data set than the average. We know that we need to put the numbers in order from greatest to least or least to greatest first.
Step 1: Ordering the numbers (from least to greatest)
98,118,121,126,127,132,134
Step 2: Finding the value in the middle
98,118,121, 126 ,127,132,134
We now know that 126 is the median number of people served.
Answer: 126 is the median number of people served.
Step-by-step explanation:
The median is found by arranging the data points in a set from lowest to greatest. Once this is done, if there are an odd number of data points, simply find the number in the middle. If there is an even number, find the average of the two middle numbers. Here, you would arrange the numbers as such, 98,118,121,126,127,132,134. Once this is done, since there are seven lines (an odd number of data points, therefore), figure out which number is in the middle, and here it is 126. Hence, the median is 126 (people)
Housing prices in a particular county have increased by 29.5% over the price of houses five years ago.(a)If $260,000 was the average price of a house five years ago, what is the average price (in $) of a house today?(b)Economists predict that next year housing prices will drop by 5% in this area. Based on your answer from part (a), what will the average price (in $) of a house be next year?
a) The average price of a house today is $341,700.
b) The average price of a house next year is $325,865.
What is the average price?
The average price is a measure of the central tendency of a set of data points. It is defined as the sum of all the data points divided by the number of data points.
(a) To find the average price of a house today, we can use the formula:
New price = Original price x (1 + percentage increase)
New price = 260000 x (1 + 0.295) = 3417000
So, the average price of a house today is $341,700
(b) To find the average price of a house next year, we can use the formula:
New price = Original price x (1 - percentage decrease)
New price = 341700 x (1 - 0.05) = $325,865
So, the average price of a house next year is $325,865
Hence,
a) The average price of a house today is $341,700.
b) The average price of a house next year is $325,865.
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The distanse between Toronto and sudbury is 418km. Terry leaves Sudbury on his motocycle and drives 310km towards Toronto. Damon leaves Toronto at the same time on his motocycle and drives 303km toward Sudbury. How far apart are Terry and Damon?
Using mathematical operations, the distance that differentiates Terry and Damon is 7 kilometers.
What are mathematical operations?Mathematical operations are the computation of values using mathematical operands (÷, ×, +, -, etc), and mathematical operators like addition, subtraction, division, and multiplication.
In this situation, we use the subtraction operation to determine the difference or the distance between Terry and Damon.
The total distance between Toronto and Sudbury = 418 km
The distance covered by Terry from Sudbury to Toronto = 310 km
The length yet to be covered by Terry = 108 km (418 - 310)
The distance covered by Damon from Toronto to Sudbury = 303 km
The length remaining for Damon = 115 km (418 - 303)
The distance apart between Damon and Terry = 7 km (115 - 108)
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A rectangular field measures 63.9m by 104.6metres find the minimum number of poles to be Erected for fencing if they are to be at most 2.4meters apart.
71 poles are needed to fence the rectangular field.
What are the dimensions of the rectangle?
A rectangle is a two-dimensional shape with four sides that has opposite sides that are parallel and equal in length. The length and width of a rectangle are its dimensions. The sides that are equal in length are called the "long sides" or "length," and the sides that are shorter are called the "short sides" or "width."
The total length of the fence required to enclose the rectangular field is the sum of the lengths of all four sides. To find this, we multiply the length and width of the field and then add twice:
Total length = 2 * (63.9m + 104.6m) = 2 * 168.5m
Next, we need to determine the number of poles required to fence the rectangular field. To do this, we divide the total length by the maximum distance between poles (2.4m):
Number of poles = Total length / 2.4m
= 168.5m / 2.4m
= 70.21 poles
Since we can't have a fractional number of poles, we round up to the nearest whole number. This means that we need at least 71 poles to fence the rectangular field.
Hence 71 poles are needed to fence the rectangular field.
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assume the following data for a country: total population, 500; population under 16 years of age or institutionalized 120; not in labor force 150 (besides under 16); unemployed 23; part-time workers looking for full-time jobs 10.
Given:
Total Population = 500 millions
Population Under 16 Years of Age or Institutionalized = 120 millions
Not in Labor Force = 150 millions
Unemployed = 23 millions
Now,
A) Labor force
= Total population – Population under 16 years of age – Not in labor force
= 500 – 120 – 150
= 230 millions
B) Unemployment rate [tex]$=\frac{\text { Unemployment }}{\text { Labor force }} \times 100 \%$[/tex]
or
Unemployment rate [tex]$=\frac{23 \text { million }}{230 \text { million }} \times 100 \%$[/tex]
or
Unemployment rate [tex]$=10 \%$[/tex]
The complete question is,
Assume the following data for a country:
Category Number of People (in Millions)
Total Population 500
Population Under 16 Years of Age or Institutionalized 120
Not in Labor Force 150
Unemployed 23
Part-Time Workers Looking for Full-Time Jobs 10
A) What is the size of the labor force (in millions)?
B) What is the official unemployment rate (in percentage)?
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What is the answer for this equation 2n+3-5n+6
Reason:
The like terms 2n and -5n combine to -3n. In other words, 2n-5n = -3n
The other pair of like terms 3 and 6 combine to 3+6 = 9
el) CC.11 Solve a system of equations using elimination: word problems 297
Write a system of equations to describe the situation below, solve using elimination, and fill in
the blanks.
The box office at a theater is selling tickets for a series of rock concerts. So far, they have
sold 79 balcony tickets and 27 general admission floor tickets for Friday's show, for a total of
$5,550 in receipts. For Saturday's show, 79 balcony tickets and 36 general admission floor
tickets have been sold, equaling $5,820 in receipts. How much does each ticket cost?
A balcony seat ticket costs $
, and a general admission floor ticket costs $
Submit
Work it out
Video
Answer:
balcony: $60general admission: $30Step-by-step explanation:
Given that 79 balcony and 27 general admission tickets sell for $5550, and 79 balcony and 36 general admission tickets sell for $5820, you want the cost of each kind of ticket.
EquationsThe equations representing the sales are ...
79b +27g = 5550
79b +36g = 5820
SolutionSubtracting the first equation from the second, we have ...
(79b +36g) -(79b +27g) = (5820) -(5550)
9g = 270 . . . . . . . . . simplify
g = 30 . . . . . . . divide by 9
79b +27(30) = 5550 . . . . . . substitute into the first equation
79b = 4740 . . . . . . . . . . subtract 810 & simplify
b = 60 . . . . . . . divide by 79
A balcony seat ticket costs $60; a general admission floor ticket costs $30.
Amelia and Jamal share pizza in the ratio 3:5. Jamal eats 4 more slices than Amelia. How many slices does Jamal eat
The number of slices that Jamal eats will be 10 slices.
How to calculate the ratio?Ratio in Mathematics simply demonstrates how many times one number can be able to fit into another number. It should be noted that ratios contrast two numbers by dividing them. In this case, A/B will be the formula if one is comparing one variable (A) to another variable (B).
Let Amelia's share be x.
Jamal's share will be x + 4.
Therefore, the equation will be Illustrated as:
3/5 = x/(x + 4)
Cross multiply
5x = 3x + 12
5x - 3x = 12
2x = 12
Divide
x = 12 / 2
x = 6
Jamal's share will be
= 6 + 4.
= 10
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in an elcetion there four candidates,j k l and m. teri is drawing a pie chart to show the results. the sectors for j and k have been drawn. twice as many people votes for l as voted for m. a) work out th angle that needs to be used to draw sector l b) altogether, 15 840 people voted. how many voted for j
The angle that needs to be used to draw the sector for L will be 60°. Then the number of people who voted for J will be 5,280.
What is the pie chart?A circular data visual with slices illustrating numerical proportions is called a pie chart. Each slice's angle in a pie chart corresponds to the material it represents.
In an election there were four candidates, J, K, L, and M. Teri is drawing a pie chart to show the results. The sectors for J and K have been drawn. Twice as many people voted for L as voted for M.
Let 'x' be the number of people who voted for L and M. Then the number of people who voted for J and K will be 2x.
The angle that needs to be used to draw the sector for L will be given as,
⇒ 360° × [x / (2x + 2x + x + x)]
⇒ 360° × [x / 6x]
⇒ 360° × 1/6
⇒ 60°
Altogether, 15,840 people voted. Then the number of people who voted for J will be given as,
⇒ [(2x) / (2x + 2x + x + x)] × 15,840
⇒ (1/3) × 15,840
⇒ 5,280
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What is a good claim for this question?
Is democracy the best form of government
Answer:
Democracy is the best form of government because it promotes equality and representation of all citizens, protects individual rights and freedoms, and encourages participation and accountability in the political process.
PLEASE HELP ME WITH THIS
statistics math
Make a Mosaic plot
(Image above)
I’ll give you brainlist answer
The win percentage of total 78 boys are 29.49%, 51.28% and 19.23% and of total 53 girls are 33.96%, 18.87% and 47.17% in basket ball, baseball and fencing respectively.
What is percentage?A percentage is a number or ratio in mathematics that represents a fraction of 100. It is one of several methods for representing a dimensionless relationship between two numbers; others include ratios, fractions, and decimal.
The symbol "%" written after a number is commonly used to represent percentages. They can also be indicated by adding "percent" or "pct" to the end of the number. 35%, for example, is represented by the decimal 0.35, as well as the fractions 35/100 and 7/20.
Total boys = 23 + 40 + 15
= 78
Win percentage in basket ball = 23/78 × 100
= 29.49%
Win percentage in baseball = 40/78 × 100
= 51.28%
Win percentage in fencing = 15/78 × 100
= 19.23%
Total girls = 18 + 10 + 25
= 53
Win percentage in basket ball = 18/53 × 100
= 33.96%
Win percentage in baseball = 10/53 × 100
= 18.87%
Win percentage in fencing = 25/53 × 100
= 47.17%
Thus, The win percentage of total 78 boys are 29.49%, 51.28% and 19.23% and of total 53 girls are 33.96%, 18.87% and 47.17% in basket ball, baseball and fencing respectively.
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let $x$ be a real number selected uniformly at random between 100 and 200. if $\lfloor \sqrt{x} \rfloor
The value of [tex]$\lfloor \sqrt{X} \rfloor$[/tex] can be any number between 10 and 13, since 14 is not an integer.
Let x be the random variable denoting the real number selected uniformly at random between 100 and 200.
The square root of [tex]$X$, $\sqrt{X}$,[/tex] will be a real number between 10 and 14. The floor function, [tex]$\lfloor \sqrt{X} \rfloor$[/tex] will take the integer less than or equal to[tex]$\sqrt{X}$.[/tex]This means that the value of [tex]$\lfloor \sqrt{X} \rfloor$[/tex] can be any number between 10 and 13, since 14 is not an integer.
For example, if [tex]$X = 150$[/tex], then [tex]$\sqrt{X} = 12.25$[/tex], so [tex]$\lfloor \sqrt{X} \rfloor = 12$[/tex]
In summary, for any real number selected uniformly at random between 100 and 200, the value of[tex]$\lfloor \sqrt{X} \rfloor$[/tex] is any number between 10 and 13.
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30 divided by 0.25?????????????????? I need step by step explanation!!!!
Answer:
120
Step-by-step explanation:
This is simply because 0.25 is 1/4 and 30 ÷ 1/4 is the same as 30 × 4/1 which equals to 120
Answer:
120
Step-by-step explanation:
multiply 100 in the numerator and denominator to remove the decimal point.2
30×100/0.25×100
=3000/25
=120
Dimensional Analysis help. i don’t even know where to start
R13 fiberglass batt insulation, typically used in walls and floors, is 3 5/8 inches thick, according to Energy.gov.
How can you figure out how much insulation you need?To determine the number of insulation batts required, first determine the area to be insulated in square meters (m2). Calculating the square metre (m2) area of your walls is actually fairly simple; simply multiply the length by the breadth.
To assess the cost of cellulose insulation for your project, first decide how much insulation you would require. To do so, divide the square footage of the space by the depth or the desired R-value. R-25 EcoTouch insulation is designed to fit snugly between outside wall wood studs. After installing cover material on one side of the cavity, friction-fit unfaced insulation between studs.
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1) A philanthropist pledges to donate 20% of a fund each year. If the fund initially has $597,000.00, how much will the fund have after 6 years?
Answer:
$195,345.60
Step-by-step explanation:
We can calculate the amount of money remaining in the fund after 6 years by multiplying the initial amount by (1 - 0.2)^6. In this case,
(1 - 0.2)^6 = 0.32768
So the fund will have $597,000 * 0.32768 = $195,345.60 after 6 years.
Question 10
Here is a figure made of a circle inscribed in a square.
36 m
(a circle within
a square)
What is the area of the shaded region?
(You may round answer to a whole number)
The area of shaded region from the given figure is 278.64 when the diameter of the circle is 36m.
What is area of circle ?
area of circle can be defined as the product of pi and square of radius
and here the value of pi is 22/7 or 3.14
Given in the figure,
a circle is within square with diameter 36m .
So, we have to find the
area of a shaded region = area of square - area of circle .
radius = d/2
radius = 36/2
radius = 18 .
= 36*36 - 3.14 * 18*18
= 1296 - 1017.36
= 278.64
Hence, The area of shaded region from the given figure is 278.64 when the diameter of the circle is 36m.
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If angle A is congruent to angle D and angle C is congruent to angle F , which additional statement does NOT allow you to conclude that triangle ABC is congruent to triangle DEF?
A). line BC is congruent to line EF
B). angle B is congruent to angle E
C). line AC is congruent to line DF
D). line AB is congruent to line DE
The Side-Angle-Side rule is the foundation for this query. The correct response is therefore option A, since ABC=DEF cannot be inferred from the additional statement that AB=EF.
What is SAS criterion?According to this rule, the corresponding two angles of one triangle are congruent with the two angles of the other triangle. The side-angle-side postulate is the only congruence rule that can be applied as a result.
Here,
A=D and C=F in triangle ABC and triangle DEF.
We must choose a statement that prevents you from deducing that triangle ABC = triangle DEF.
The correct response is therefore option A, since ABC=DEF cannot be inferred from the additional statement that AB=EF.
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Set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region bounded by the given curves about the specified line.
y = sin(x), y = 0, 0 ≤ x ≤ ????; about y = −5
The upper limit of y is not given, the integral cannot be evaluated at this point.
The volume of the solid obtained by rotating the region bounded by the given curves about the specified line can be determined by the following integral:
V = ∫-5^y [π(y-sin(x))^2]dx
The integral is set up by breaking the region up into slices that are perpendicular to the y-axis. The width of each slice is equal to dy and the height of each slice is equal to the area of the cross-section of the solid, namely π(y-sin(x))^2. The integral is then evaluated from the lower limit of y=-5 to the upper limit of y, which is determined by the equation of the given curve, y=sin(x). As the upper limit of y is not given, the integral cannot be evaluated at this point.
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(a) Express the general solution of the given system of equations in terms of real-valued functions. (b) Also draw a direction field, sketch a few of the trajectories, and describe the behavior of the solutions as - 8?
the difference of of equations in the system 1. Equation (1) for system 1 is similar to the equation (4) of the system 2.
Lx + My = N ---------(1)
Ax + By = C ---------(2)
System 2 :
(L - A)x + (M - B)y = N - C -------(3)
Lx + My = N ---------(4)
If we subtract equation (2) from equation (1),
(Lx + My) - (Ax + By) = N - C
Lx - Ax + My - By = N - C
(L - A)x + (M - B)y = N - C
Which is similar to equation (3) of the system 2.
And equation (1) of the system (1) is similar to the equation (4) of the system (2)
Therefore, equation (3) of the system 2 is the difference of of equations in the system 1. Equation (1) for system 1 is similar to the equation (4) of the system 2.
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A dealer in the Sands Casino in Las Vegas selects 40 cards from a standard deck of 52 cards. Let Y be the number of red cards (hearts or diamonds) in the 40 cards selected. Which of the following is best describes this setting?
a. Y has a binomial distribution with n= 40 observations and probability of success p= 0.5.
b. Y has a binomial distribution with n=40 observations and probability of success p=0.5, provided the deck is shuffled well.
c. Y has a binomial distribution with n=40 observations and probability of success p=0.5, provided that after selecting a card it is replaced in the deck and the deck is shuffled well before the next card is selected.
d. None of these.
Answer:
c. Y has a binomial distribution with n=40 observations and probability of success p=0.5, provided that after selecting a card it is replaced in the deck and the deck is shuffled well before the next card is selected.
Step-by-step explanation:
if wrong pls tell
5. An art teacher mixed 3 cups of blue paint with 2 cups of red
paint to make some purple paint. How many cups of purple paint did
the art teacher make?
A) 62 cups
12
C) 5-
51712 cups
B) 5-½ cups
D) 672 cups
Answer: C - 5 cups
Step-by-step explanation:
Hello! The art teacher mixes 3 cups of blue paint with 2 cups of red paint. Since the art teacher combines the two, you have to add the two. 3 + 2 = 5, which should be your answer. Hope this helps!
it take nadia 4/9 h to complete her language arts homework and 2/9 h to complete her mathematic homework.Which takes longer? How much longer?
Mathematic homework takes longer. It takes 2/3 h longer than language arts homework. Mathematic homework takes longer to complete than language arts homework. We can compare these two fractions by converting them to the same denominator.
Language arts homework: 4/9 h
Mathematic homework: 2/9 h
We can compare these two fractions by converting them to the same denominator.
Language arts homework: 4/9 h = 8/18 h
Mathematic homework: 2/9 h = 4/18 h
Mathematic homework takes 2/3 h longer than language arts homework.
Mathematic homework takes longer than language arts homework, by 2/3 h.
Mathematic homework takes longer to complete than language arts homework. We can compare these two fractions by converting them to the same denominator. Language arts homework takes 4/9 h, or 8/18 h, while mathematic homework takes 2/9 h, or 4/18 h. Mathematic homework takes 2/3 h longer than language arts homework. This means that mathematic homework takes more time to complete than language arts homework, by 2/3 h.
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Draw rectangle HIJK, if HI = 3x + 7 and JK = 6x − 11,
find the value of x.
pls i need it
Answer:
x = 6
Step-by-step explanation:
Vertices of a rectangle are normally listed so that adjacent vertices are connected by edges. Therefore, the edges of rectangle HIJK are HI, IJ, JK and KH.
As the opposite sides of a rectangle are congruent:
HI = JK and IJ = KHTherefore, to find the value of x, set the given expressions for HI and JK equal to each other and solve for x:
[tex]\implies \sf HI=JK[/tex]
[tex]\implies 3x+7=6x-11[/tex]
[tex]\implies 3x+7-7=6x-11-7[/tex]
[tex]\implies 3x=6x-18[/tex]
[tex]\implies 3x-6x=6x-18-6x[/tex]
[tex]\implies -3x=-18[/tex]
[tex]\implies -3x \div -3=-18 \div -3[/tex]
[tex]\implies x=6[/tex]
Ready
How do you find the distance between
the points shown?
Add the distance between
each point and the y-axis.
What is the distance between
point A and point B?
units
A(-8,-4)
B (2,-4)
Answer:
10 units
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{7.4 cm}\underline{Distance between two points}\\\\$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$\\\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ are the two points.\\\end{minipage}}[/tex]
To find the distance between two points, substitute the given points into the distance formula and solve for d.
Given points:
A (-8, -4)B (2, -4)[tex]\begin{aligned}\implies d&=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}\\&=\sqrt{(2-(-8))^2+(-4-(-4))^2}\\&=\sqrt{(10)^2+(0)^2}\\&=\sqrt{100}\\&=10\end{aligned}[/tex]
However, as the y-values of the two given points are the same, we can simply find the difference between the x-values of the two points to find the distance between point A and B:
[tex]\begin{aligned}\implies \textsf{Distance}&=x_B-x_A\\&=2-(-8)\\&=2+8\\&=10\end{aligned}[/tex]
Therefore, the distance between point A and point B is:
10 unitsA sheet of paper is cut into 3 same-size parts. Each of the parts is then cut into 3 same size parts and so on.
Answer:
wouldnt it just be 1/9
Step-by-step explanation:
We have one whole, ok. Then that is divided into 1/3 pieces. Then, each of those 1/3 pieces is split into thirds. Once here, think about each of the original 1/3 pieces as their own separate wholes.construct an argument determine whether each statement is sometimes, always, or never true. justify your argument. the opposite angles of an isosceles trapezoid are supplementary.
The opposite angles of an isosceles trapezoid are always supplementary due to the diagonals of the trapezoid bisecting each other and forming supplementary angles
The opposite angles of an isosceles trapezoid are always supplementary due to the diagonals of the trapezoid bisecting each other and forming supplementary angles.
Always true. The opposite angles of an isosceles trapezoid are supplementary because the diagonals of an isosceles trapezoid bisect each other. Therefore, the angles formed by the intersection of the diagonals are supplementary, since the sum of two supplementary angles is 180 degrees.
The opposite angles of an isosceles trapezoid are always supplementary due to the diagonals of the trapezoid bisecting each other and forming supplementary angles.
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table values for the equation
xy=5
The table of values for the equation xy =5 are
x y
5 1
10 1/2
15 1/3
20 1/4
25 1/5
What is table of values?The relationship between the various data points is displayed using tables of values. In scientific lesson, a table of values could be used. Tables of values are used by scientists and researchers to record their data, which is subsequently examined for patterns. Then, they can use this pattern to forecast things.
In the problem, the equation to derive the table of value is xy = 5, this is re written to be y = 5/x
The values of y are solved as follows
For x = 5, y = 5/5 = 1
For x = 10, y = 5/10 = 1/2
For x = 15, y = 5/15 = 1/3
For x = 20, y = 5/20 = 1/4
For x = 25, y = 5/25 = 1/5
Table of values
x y
5 1
10 1/2
15 1/3
20 1/4
25 1/5
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rewrite 9x2 + 3xy + 15x + 5y in factored form. (3x + 3)(5x + y) (3x + 5)(3x + y) (3x + 5y)(3x + 1) (3x + y)(5x + 3)
The given equation 9x2 + 3xy + 15x + 5y in factored form is[tex](3 x+y)(3 x+5)$$[/tex]
What is factored form?The factored form of a quadratic expression is one in which the quadratic expression is the product of two factors, each of which is a linear expression. By extending it, which entails multiplying out the factors, a factored expression can be restated in standard form. Y=12(x-6)(x+2) is an illustration of a factored quadratic function. The graph's x-intercepts and vertex can both be determined by analyzing this form. The four primary methods of factoring are the Grouping method, the Difference in Two Squares, the Sum or Difference in Cubes, and the Greatest Common Factor (GCF).
Factor [tex]$9 x^2+3 x y+15 x+5 y:[/tex]
Steps
[tex]& 9 x^2+3 x y+15 x+5 y \\[/tex]
[tex]& =\left(9 x^2+3 x y\right)+(15 x+5 y)[/tex]
Factor out 3 x from [tex]$9 x^2+3 x y: \quad 3 x(3 x+y)$[/tex]
Factor out 5 from[tex]$15 x+5 y: \quad 5(3 x+y)$[/tex]
[tex]$$=3 x(3 x+y)+5(3 x+y)$$[/tex]
Factor out common term[tex]$3 x+y$[/tex]
[tex]$$=(3 x+y)(3 x+5)$$[/tex]
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What does a high graduation rate suggest about a university or college?
assume a member is selected at random from the population represented by the graph. find the probability that the member selected at random is from the shaded region of the graph. assume the variable x is normally distributed.
0.30 is the probability that the member selected at random is from the shaded region of the graph. assume the variable x is normally distributed.
What is probability and example?
Probability = the number of ways of achieving success. the total number of possible outcomes. For example, the probability of flipping a coin and it being heads is ½, because there is 1 way of getting a head and the total number of possible outcomes is 2 (a head or tail). We write P(heads) = ½ .
Remember that
z =(x - μ)/σ
where
μ=509
σ=121
so
Find out the value of Z for x=200
Z =(200 - 509)/121
Z=-2.5537
Find out the value of Z for x=450
Z=(450-509)/121
Z=-0.4876
Hence, 0.30 is the probability that the member selected at random is from the shaded region of the graph. assume the variable x is normally distributed.
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Lizzy made 10 cups of strawberry jam and divided the jam equally among 6 containers. How much jam went into each container?
Answer:
1 2/3 went in each container
Step-by-step explanation:
10 divided by 6 is 1.666666666677777777777 which equals to 1 2/3 multiply it by 6 and you will get 10.
