Dodger Stadium: 37,036 more people can attend a Dodger game., Lambeau Field + Georgia Dome: 132,118 fans can be seated altogether in the two parks.
Solutions to the aforementioned questions1) Dodger Stadium:
56,000 - 18,964 = 37,036 more people can attend a Dodger game.
2) Alamodome:
35,000 - 20,557 = 14,443 more people can be seated for special events.
3) Lambeau Field + Georgia Dome:
60,890 + 71,228 = 132,118 fans can be seated altogether in the two parks.
4) Arrowhead Pond + Staples Center:
17,174 + 18,118 = 35,292 fans can be held altogether in the two arenas.
5) United Center:
21,500 / 25 = 860 25-seat ticket packages could be sold for one game.
6) Comerica Park:
40,000 / 20 = 2,000 20-seat packages could be sold.
7) Fenway Park - Veterans Stadium:
62,409 - 33,871 = 28,538 more fans can attend a game in Philadelphia.
8) St. Louis Stadium:
66,000 / 8 = 8,250 ticket packages could be sold for one game.
9) Miami Dolphins stadium:
75,192 x 8 = 601,536 total fans could attend all 8 regular-season games.
10) Edison Field:
45,050 x 81 = 3,655,050 tickets could be sold for their 81 regular-season games.
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There is a raffle with 250 tickets, each costing $16. One ticket will win a $240 prize, one ticket will win a $130 prize, one ticket will win a $120 prize, one ticket will win a $70 prize, and the other tickets will win nothing. If you buy a ticket, what is the expected profit?
If you buy a ticket, you can expect to make a profit of approximately $0.96 on average.
To calculate the expected profit, we need to consider the probability of winning each prize and the value of each prize.
The probability of winning each prize can be calculated by dividing the number of winning tickets by the total number of tickets. There is 1 winning ticket for each prize, so the probability of winning each prize is:
$240 prize: 1/250
$130 prize: 1/250
$120 prize: 1/250
$70 prize: 1/250
The value of each prize is already given, so we can multiply the probability of winning each prize by its value and sum the results to find the expected profit:
Expected profit = (1/250 x $240) + (1/250 x $130) + (1/250 x $120) + (1/250 x $70) - ($16)
Expected profit = $0.96
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9. Suppose a boat travels 96 miles downstream and then travels the same distance
upstream. In still water, the boat travels at a speed of 18 mph. Let x be the speed of
the current. If the total trip takes 12 hours, find the speed of the current to the
nearest whole number. Use t = . (Hint: Going downstream, the boat is going
with the current and going upstream, the boat is going against the current.) [10
points]
If the total trip takes 12 hours, the speed of the current is 1 mph.
What is speed?The speed of an object is described as the magnitude of the change of its position over time or the magnitude of the change of its position per unit of time.
The downstream trip:
distance = rate × time
96 = (18 + x) × t ( 18 + x)
The upstream trip:
distance = rate × time
96 = (18 - x) × (12 - t)
96 = (18 - x) × (12 - t)
8 = x - (x/6)t
We have two equations and two unknowns, so we can solve for x and t.
We solve for x by making t subject fomula and substituting into the equation.
Where x = 1
In conclusion, if the total trip takes 12 hours, the speed of the current is 1 mph.
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after a snowstorm city workers removed an estimated 10000 cubic yards of snow from the downtown area if this snow were apread in an even layer ocer the entire rectangular football field shown below about how many yards deep would the layer of snow be
The 10,000 cubic yards of snow were spread evenly over the rectangular football field, the layer of snow would be approximately 1.56 yards deep.
To determine how many yards deep the layer of snow would be if spread evenly over the rectangular football field, we need to know the volume of the snow and the area of the football field.
First, let's find the area of the football field. Assuming standard dimensions for a football field, we have:
Length = 120 yards
Width = 53.3 yards
Area = Length x Width
Area = 120 yards x 53.3 yards
Area = 6,396 square yards
Now, let's find the volume of the snow. We are given that 10,000 cubic yards of snow were removed from the downtown area, so the volume is:
Volume = 10,000 cubic yards
Finally, to find the depth of the layer of snow, we can divide the volume of the snow by the area of the football field:
Depth = Volume / Area
Depth = 10,000 cubic yards / 6,396 square yards
Depth ≈ 1.56 yards
Therefore, if the 10,000 cubic yards of snow were spread evenly over the rectangular football field, the layer of snow would be approximately 1.56 yards deep.
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Determine whether the function is even, odd, or neither.
h(x) = 2x³ + 9x
even
odd
O neither
Describe the symmetry.
O x-axis symmetry
no symmetry
O y-axis symmetry
origin symmetry
Since h(-x) = -h(x), the function is odd.
How to solveThe given function is h(x) = 2x³ + 9x.
To determine whether the function is even, odd, or neither, we need to analyze the behavior of the function when x is replaced by -x:
h(-x) = 2(-x)³ + 9(-x) = -2x³ - 9x.
Since h(-x) = -h(x), the function is odd.
Odd functions have origin symmetry, which means that if you rotate the graph 180 degrees around the origin, it remains unchanged. In other words, the graph has symmetry with respect to the origin, which occurs when the point (x, y) on the graph implies the point (-x, -y) is also on the graph.
So, the function h(x) is odd and has origin symmetry.
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Graph y=4/7x−2.
Use the line tool and select two points on the line to graph the line.
Answer:
Therefore, the answer is: The graph of the equation is a straight line passing through the points (0, -2), (7, 2), and (-7, -6).
Step-by-step explanation:
The given equation is y = (4/7)x - 2.
To graph this equation, we need to plot points on a coordinate plane. We can do this by choosing values of x and then finding the corresponding values of y using the equation.
Let's choose some values of x and find the corresponding values of y:
When x = 0, y = (4/7)(0) - 2 = -2
When x = 7, y = (4/7)(7) - 2 = 2
When x = -7, y = (4/7)(-7) - 2 = -6
We now have three points: (0, -2), (7, 2), and (-7, -6). We can plot these points on a coordinate plane and draw a line through them to get the graph of the equation.
Marina is drawing a plan for a new garden. The rectangle plotted in the coordinate plane represents the garden, measured in feet. To surround the garden with a stone path, how many feet of stone does she need? 4 feet 6 feet 10 feet 20 feet
If Mariana needs to surround the garden with a stone-path, then she would need 20 feet of stone, Option (d) is correct.
The "Perimeter" of a rectangle is defined as the "total-length" of the outer boundary.
The length of the rectangle can be calculated as the difference between the x-coordinates of the vertices on the same vertical side.
In this case, the "x-coordinates" of vertices on same vertical side are 4 and -2.
So, the length of the rectangle is = 4 -(-2) = 6 feet.
Similarly, the width of rectangle is calculated as difference between "y-coordinates" of vertices on same horizontal side.
In this case, the "y-coordinates" of vertices on same horizontal side are 1 and -3.
So, the width of the rectangle is = 1 -(-3) = 4 feet,
To surround rectangle with a stone path, Marina need to add length of stone needed for the perimeter of rectangle, which is sum of all four sides.
The perimeter (P) is ⇒ P = 2(length + width),
Substituting the values,
We get,
⇒ P = 2(6 + 4) = 2(10) = 20 feet
Therefore, the correct option is (d).
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The given question is incomplete, the complete question is
Marina is drawing a plan for a new garden. The rectangle with the vertex (4,1) , (4,-3) , (-2,-3) , (-2,1)in the coordinate plane represents the garden, measured in feet. To surround the garden with a stone path, how many feet of stone does she need?
(a) 4 feet
(b) 6 feet
(c) 10 feet
(d) 20 feet
Answer:
20 feet because ik from experience
PLEASE ANSWER!! WILL GIVE BRAINLIEST
Answer:
the correct answer is option D
The probability that a contestant played an electric guitar is 0.8, the probability that a contestant was dressed in sequins is 0.4, and the probability that a contestant played an electric guitar or was dressed in sequins is 0.9.
What is the probability that a randomly chosen contestant played an electric guitar and was dressed in sequins?
By probability, the likelihood that a candidate chosen at random played an electric guitar and wore sequins is 0.3.
explain probability.Using probabilities, one can determine how likely something is to occur.. It is represented by a number between 0 and 1, with 1 denoting a certain event and 0 an impossibility.
For instance, you can get either heads or tails when you flip a coin. There is only one way to get heads and two outcomes, hence the probability of receiving heads is 0.52.
The likelihood that a competitor played an electric guitar is 0.8, the likelihood that they were wearing sequins is 0.4, and the combined likelihood that they both played an electric guitar and wore sequins is 0.91.
The following formula can be used to determine the likelihood that a competitor chosen at random played an electric guitar and wore sequins:
P(A and B) equals P(A) times P(B|A)
where there are two events, A and B.
In this instance, A stands for the competitor who played an electric guitar, and B is for the person who wore sequins.
P(A) is known to equal 0.8. and P(B) = 0.4.
We also know that P(A or B) = 0.9.
Using the following equation to determine the likelihood of two events occurring together:
P(A or B) = P(A) + P(B) - P(A and B)
we can find P(A and B):
P(A and B)
= 0.8 + 0.4 - 0.9
= 0.3
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Suppose you are given two ordered pairs A and B. Explain how to write the equation of a line parallel to AB through a given point.
Answer:
To write the equation of a line parallel to AB through a given point, you need to follow these steps:
1. Find the slope of line AB using the formula:
slope = (y2 - y1) / (x2 - x1)
where (x1, y1) and (x2, y2) are the given ordered pairs A and B.
2. Since the line you want to find is parallel to AB, it will have the same slope as AB.
3. Use the point-slope form of a linear equation to write the equation of the line. The point-slope form is:
y - y1 = m(x - x1)
where m is the slope you found in step 1, and (x1, y1) is the given point through which the line passes.
4. Simplify the equation by distributing the slope and combining like terms if necessary.
5. Your final equation should be in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.
Solve for e: - 12e =6q -4
Answer:
e = - [tex]\frac{1}{2}[/tex] q + [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
- 12e = 6q - 4 ( divide through by - 12 )
e = [tex]\frac{6}{-12}[/tex] q - [tex]\frac{4}{-12}[/tex] , that is
e = - [tex]\frac{1}{2}[/tex] q + [tex]\frac{1}{3}[/tex]
The following data shows the grades that an 8th grade mathematics class received on a recent exam.
{99, 94, 91, 79, 88, 94, 92, 93, 90, 89, 77, 75, 65, 90, 87, 93, 92, 82, 65, 60, 78}
Part A: Determine the best graphical representation to display the data. Explain why the type of graph you chose is an appropriate display for the data. (6 points)
Part B: Explain, in words, how to create the graphical display you chose in Part A. Be sure to include a title, axis label(s), scale for axis if needed, and a clear process of how to graph the data. (6 points)
The resulting histogram would show the distribution of the grades on the exam, with the bins and frequency of data points clearly displayed. The title, axis labels, and scales would provide context for the graph and make it easy to interpret the data.
What is graph?In mathematics and computer science, a graph is a collection of points, called vertices or nodes, that are connected by lines, called edges or arcs. Graphs can be used to model and analyze relationships between objects or data, such as social networks, transportation systems, or web pages.
Here,
Part A:
The best graphical representation to display the given data is a histogram. A histogram is a bar graph-like representation of data that divides the data into intervals or bins and shows the frequency of each interval. Histograms are appropriate for displaying continuous data, which the grades on the exam can be considered as, and can also show the distribution of the data.
Part B:
To create a histogram of the given data, follow these steps:
Choose the number of bins or intervals. In this case, we can choose a reasonable number of bins, such as 6-8, to display the distribution of the grades.
Determine the range of the data. The lowest grade is 60 and the highest is 99, so the range is 99-60 = 39.
Calculate the bin size. The bin size is calculated by dividing the range by the number of bins. For example, if we choose 6 bins, the bin size would be 39/6 ≈ 6.5. Since it is difficult to have bins that are fractions of a point, we can round the bin size up to the nearest whole number to get a bin size of 7.
Create the bins. Starting from the lowest grade, create intervals or bins of size 7 that cover the range of the data. For example, the first bin would be 60-66, the second bin would be 67-73, and so on.
Count the frequency of data points that fall into each bin. For example, there are 2 data points in the first bin, 3 data points in the second bin, and so on.
Draw the histogram. On the horizontal axis, label and scale the bins. On the vertical axis, label and scale the frequency of data points in each bin. Draw a rectangle above each bin with a height equal to the frequency of data points in that bin.
Title: Grades on Recent 8th Grade Mathematics Exam
X-axis label: Grades
Y-axis label: Frequency
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Alma took out a subsidized student loan of $10,925 at a 10.8% APR,
compounded monthly, to pay for her last 2 semesters of college. If she will
begin paying off the loan in 15 months, how much will she owe when she
begins making payments?
A. $10,925.00, since Alma is responsible for the interest on the loan
that accrues before she starts making payments
B. $10,925.00, since the government is responsible for the interest
on the loan that accrues before Alma starts making payments
C. $12,496.52, since Alma is responsible for the interest on the loan
that accrues before she starts making paymelins
D. $12,496.52, since the government is responsible for the interest on
the loan that accrues before Alma starts making payments
If she will begin paying off the loan in 15 months, . The amount she will she owe when she begins making payments is: C. $12,496.52, since Alma is responsible for the interest on the loan that accrues before she starts making payments.
What is the face value?The formula to calculate the future value of a loan with monthly compounding interest is:
FV = PV * (1 + r/12)^n
where:
PV = present value of the loan
r = annual interest rate
n = number of months
Using this formula, we can calculate the amount that Alma will owe when she begins making payments:
PV = $10,925
r = 10.8% APR = 0.9% monthly interest rate
n = 15 months
FV = $10,925 * (1 + 0.009)^15 = $12,496.52
Therefore, the answer is C. Alma is responsible for the interest on the loan that accrues before she starts making payments, and she will owe $12,496.52 when she begins making payments.
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Question is in the screenshot (matrices)
Value of matrix X=[tex]\left[\begin{array}{ccc}-31/135 & 1/45 \\14/135&1/45 \\ \end{array}\right][/tex]
Define matricesMatrices are a type of mathematical object that consists of a rectangular array of numbers or other mathematical objects, such as variables, functions, or even other matrices. Matrices are widely used in mathematics, science, engineering, computer graphics, and other fields to represent and manipulate data, perform transformations, and solve systems of equations.
A matrix can be represented using a set of ordered pairs, where each pair represents a specific element of the matrix, and the position of the element is determined by its row and column indices. For example, a 3x3 matrix can be represented as:
| a11 a12 a13 |
| a21 a22 a23 |
| a31 a32 a33 |
Given matrix;
A=[tex]\left[\begin{array}{ccc}-1&-2 \\2&2 \\ \end{array}\right][/tex]
B=[tex]\left[\begin{array}{ccc}-6&5 \\2&-1 \\ \end{array}\right][/tex]
C=[tex]\left[\begin{array}{ccc}-3&1 \\2&0 \\ \end{array}\right][/tex]
Solving the equation
(A-4B)X=C
[tex]\left[\begin{array}{ccc}-1&-2 \\2&2 \\ \end{array}\right][/tex]- 4 [tex]\left[\begin{array}{ccc}-6&5 \\2&-1 \\ \end{array}\right][/tex]X=[tex]\left[\begin{array}{ccc}-3&1 \\2&0 \\ \end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}23&-22 \\-6&6 \\ \end{array}\right][/tex] X=[tex]\left[\begin{array}{ccc}-3&1 \\2&0 \\ \end{array}\right][/tex]
Taking the inverse and multiplying it with RHS, we get
X=[tex]\left[\begin{array}{ccc}-31/135 & 1/45 \\14/135&1/45 \\ \end{array}\right][/tex]
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Write a division expresion that has the same value as 51. 2 divided by 6. 4 but is easier to use to find the value. Then, find the value using long division
The value of 51. 2 divided by 6. 4 using long division is 8.0
To find the value of 512 divided by 64, we can use long division. We start by dividing 5 (the first digit of 512) by 6 (the first digit of 64). Since 5 is less than 6, we bring down the next digit (1) to form the new dividend, 51. We then add a decimal point to the quotient and bring down the next digit (2) to form 512.
We repeat the process of dividing 51 by 6, which gives us 8 with a remainder of 3. We write the quotient (8) above the next digit of the dividend (2) and bring down the next digit (0) to form the new dividend, 30. We continue this process until we have brought down all the digits of the dividend.
At the end of the process, we get a quotient of 8.0, which is the value of our original expression, 51.2 divided by 6.4.
Therefore, 512 divided by 64 is equal to 8.0.
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a spinner has 18 equal-sized sectors labeled 1 through 18. the spinner is spun once. what is the probability that the spinner lands on an even number or a number greater than 10?
The probability that the spinner lands on an even number or a number greater than 10 is 11/18.
There are two cases where the spinner can land on an even number or a number greater than 10:
Case 1: The spinner lands on an even number.
There are 9 even numbers on the spinner: 2, 4, 6, 8, 10, 12, 14, 16, and 18. The probability of the spinner landing on an even number is 9/18 = 1/2.
Case 2: The spinner lands on a number greater than 10.
There are 7 numbers greater than 10 on the spinner: 11, 12, 13, 14, 15, 16, and 18. The probability of the spinner landing on a number greater than 10 is 7/18.
To find the probability of either event occurring, we add the probabilities of the two cases and subtract the probability of both occurring simultaneously (since the numbers 12, 14, and 16 are even and greater than 10). Therefore, the probability of the spinner landing on an even number or a number greater than 10 is:
(1/2) + (7/18) - (3/18) = 11/18
Thus, the probability that the spinner lands on an even number or a number greater than 10 is 11/18.
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The rainfall in a town, measured in inches over the last 7 days has been: 1 , 3 , 0 , 2 , 2 , 1 , 3 Find the median rainfall.
Answer: 2
Step-by-step explanation: 0 1 1 2 2 3 3 order
011 2 middle one 233
Row A in a certain section in a football stadium has 10 seats. Each row behind row A is labeled alphabetically
(B, C, D, and so on) and has 6 more seats than the row immediately in front of it.
How many seats are in row G of this section of the stadium?
A. 52
B. 46
C. 40
D. 60
If each row behind the "row-A" has 6 more seats than row immediately in front of it, then there are (b) 46 seats in "Row-G".
The number of seats in "Row A" is = 10 seats,
We know that, each row behind the "row-A" has 6-more seats than the row immediately in front of it.
So, Number of seats in "Row-B" are = 10 + 6 = 16 seats,
Number-of-seats in "Row-C" are = 16 + 6 = 22 seats,
Number of seats in "Row-D" are = 22 + 6 = 28 seats,
Number of seats in "Row-E" are = 28 + 6 = 34 seats,
Number of seats in "Row-F" are = 34 + 6 = 40 seats,
So, According to the pattern,
Number of seats in "Row-G" will be = 40 + 6 = 46 seats.
Therefore, there are 46 seats in "Row-G", Option (b) is correct.
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Find the solution of the equation:
−6x−2x=5
. None of these
. 516
. −516
. −58
. 58
trigonometry question, I solved some of it got stuck at one part. please help
The simplified form of the given expression is:
(cosx * (tanx + 1) + 1) / cosx
How to simplify trigonometric identity?To solve the given expression, we can start by simplifying it using trigonometric identities.
Given expression: tanx / (1 + secx) + (1 + secx) / tanx
Step 1: Simplify denominators
We can rewrite secx as 1/cosx, and tanx as sinx/cosx. Using these identities, we get:
tanx / (1 + 1/cosx) + (1 + 1/cosx) / (sinx/cosx)
Step 2: Find the least common denominator (LCD)
The LCD is cosx, as it is the common denominator for both fractions.
Step 3: Combine the fractions
Using the LCD, we can combine the fractions:
[(tanx * cosx) + (1 + 1/cosx)(cosx)] / cosx
Step 4: Simplify the numerator
Multiplying through by cosx to simplify the numerator, we get:
[tanx * cosx + (cosx + 1)] / cosx
Step 5: Combine like terms
Combining like terms in the numerator, we get:
[tanx * cosx + cosx + 1] / cosx
Step 6: Factor out cosx
We can factor out cosx from the numerator:
cosx * (tanx + 1) + 1 / cosx
So, the simplified form of the given expression is:
(cosx * (tanx + 1) + 1) / cosx
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QUESTION IS - simplify . tanx/1+secx + 1+secx/tan x
help! as soon as possible
The quadrilateral is a type of "kite", as the pair of adjacent angles are equal.
Explain about the features of kite:A quadrilateral known as a kite has four sides that may be grouped into two adjacent pairs of equal-length sides, and the diagonals cross each other at right angles. The quadrilateral is a polygon with four sides.
Kite's two diagonals meet at a right angle to form its properties.A kite's primary diagonal is symmetrical.The diagonal's primary opposed angles are equal.A set of congruent triangles having a common base can be thought of as the kite.The kite is split into two isosceles triangles by the shorter diagonal.Thus, the quadrilateral is a type of "kite", as the pair of adjacent angles are equal.
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what is the sum of the numbers 5,5,6,9,4,3,4,8,10,4
Answer:
58
Step-by-step explanation: You add them all together
s = (50 - 44) ÷ 2
help :(
Answer:
s=3
Step-by-step explanation:
Equation: s=(50-44)/2
First, do the operation(s) in parenthesis:
s=(50-44)/2
s=(6)/2
Next, do the division, since it's the last operation:
s=6/2
s=3
So, your answer is s=3
Can someone please help me get this answer
Answer:
C. 15 + 18x ≥ 95
Step-by-step explanation:
Given: She has $15 saved so far
She earns $18.00 for each lawn she mows (each lawn she mows = x)
The inequality has to be greater or equal to $95.00, so she can have enough to buy a pair of shoes.
15 + 18x ≥ 95
Solve for s. . ...................
Answer:
[tex]S = \dfrac{v^2 - u^2}{2a}[/tex]
Step-by-step explanation:
We can solve for S using algebraic manipulation.
[tex]v^2 = u^2 + 2aS[/tex]
↓ subtract [tex]u^2[/tex] from both sides
[tex]v^2 - u^2 = 2aS[/tex]
↓ divide both sides by [tex]2a[/tex]
[tex]\dfrac{v^2 - u^2}{2a} = S[/tex]
[tex]\boxed{S = \dfrac{v^2 - u^2}{2a}}[/tex]
[tex]\sf \boxed{\sf S=\dfrac{v^{2}-u^{2} }{2a}}[/tex]
Step-by-step explanation:1. Write the expression.[tex]\sf v^{2} =u^{2} +2aS[/tex]
2. Subtract "u²" from both sides of the equation.[tex]\sf v^{2}-u^{2} =u^{2} +2aS-u^{2}\\ \\v^{2}-u^{2} =2aS[/tex]
3. Dividie by "2" and "a" on both sides of the equation.[tex]\sf \dfrac{v^{2}-u^{2} }{2a} =\dfrac{2aS}{2a} \\ \\ \\\dfrac{v^{2}-u^{2} }{2a} =S\\ \\ \\\boxed{\sf S=\dfrac{v^{2}-u^{2} }{2a}}.[/tex]
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The histograms display the frequency of temperatures in two different locations in a 30-day period.
A graph with the x-axis labeled Temperature in Degrees, with intervals 60 to 69, 70 to 79, 80 to 89, 90 to 99, 100 to 109, 110 to 119. The y-axis is labeled Frequency and begins at 0 with tick marks every one unit up to 14. A shaded bar stops at 10 above 60 to 69, at 9 above 70 to 79, at 5 above 80 to 89, at 4 above 90 to 99, and at 2 above 100 to 109. There is no shaded bar above 110 to 119. The graph is titled Temps in Sunny Town.
A graph with the x-axis labeled Temperature in Degrees, with intervals 60 to 69, 70 to 79, 80 to 89, 90 to 99, 100 to 109, 110 to 119. The y-axis is labeled Frequency and begins at 0 with tick marks every one unit up to 14. There is no shaded bar above 60 to 69. A shaded bar stops at 4 above 70 to 79, at 4 above 80 to 89, at 6 above 90 to 99, at 6 above 100 to 109 and at 10 above 110 to 119. The graph is titled Temps in Beach Town.
When comparing the data, which measure of center should be used to determine which location typically has the cooler temperature?
Median, because Sunny Town is symmetric
Mean, because Sunny Town is skewed
Median, because Beach Town is skewed
Mean, because Beach Town is symmetric
Answer:Range, because it measures the difference between the highest and lowest values in a datase........
Step-by-step explanation:
The median should be used to determine which location typically has the cooler temperature, with Beach Town being the location with higher temperatures due to its skewed data.
The measure of center that should be used to determine which location typically has the cooler temperature is the Median, because Beach Town is skewed.
The median is a measure of center that represents the middle value of a data set when it is arranged in ascending or descending order. When comparing the two histograms, Sunny Town's data is symmetric, meaning that it has roughly equal frequencies on both sides of the center. In this case, the median could be a good representation of the typical temperature in Sunny Town.
However, Beach Town's data is skewed, meaning that it is not symmetrical and has a longer tail on one side of the center. This indicates that there are more occurrences of higher temperatures in Beach Town compared to Sunny Town. In skewed data, the mean can be affected by extreme values, making it less reliable as a measure of center. The median, on the other hand, is less influenced by extreme values and can give a better indication of the typical temperature in Beach Town.
Therefore, the median should be used to determine which location typically has the cooler temperature, with Beach Town being the location with higher temperatures due to its skewed data.
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O QUADRATIC FUNCTIONS AND EQUATIONS
Solving a quadratic equation using the square root prope
V
2
Solve 3w +9=90, where w is a real number.
Round your answer to the nearest hundredth.
If there is more than one solution, separate them with commas.
If there is no solution, click on "No solution".
W
w = 0
No
solution
The solution for the given quadratic equation is √27.
What is a quadratic equation?
A quadratic equation is any algebraic equation that can be written in the standard form as where variable 'x' is an unknown number and where a, b, and c are known values, with a ≠ 0.
We are given a quadratic equation in variable 'w' as 3[tex]w^{2}[/tex] + 9 = 90.
Now, on solving the given equation , we get
⇒ 3[tex]w^{2}[/tex] + 9 = 90
⇒ 3[tex]w^{2}[/tex] = 81
⇒ [tex]w^{2}[/tex] = 27
⇒ w = √27
Hence, the solution for the given quadratic equation is √27.
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The complete question has been attached below.
A deck of standard playing cards holds 52 unique cards.
36 of these cards are numbered cards (numbered 2-9), 4
of these cards are aces, and 12 of these cards are face
cards (jack, queen, and king). If you play a card game and
draw half of the face cards, one ace, and one fourth of the
numbered cards, how many cards do you have? How
many of each card type of card do you have? Cite
evidence from the problem.
Answer:
Based on the information in the problem, you would have a total of 16 cards, with 6 being face cards, 1 being an ace, and 9 being numbered cards.
Step-by-step explanation:
According to the issue:
The deck contains 52 distinct cards.
There are 36 numbered cards ranging from 2 to 9.
There are four aces in the deck.
There are 12 face cards (including the jack, queen, and king).
If you draw half of the face cards, one ace, and one-fourth of the numbered cards, you will get the following:
Face cards in half: 1/2 * 12 = 6 face cards
1 ace: 1 ace
One-fourth of a deck of numbered cards: 1/4 * 36 = 9 decks of numbered cards
When you add these up, you get a total of 6 + 1 + 9 = 16 cards.
Based on the information in the problem, you would have a total of 16 cards, with 6 being face cards, 1 being an ace, and 9 being numbered cards.
Solve for x.
5)
X=
555
X-87
Answer:
x=162
Step-by-step explanation:
55+x-87+50=180
x+18=180
x=162
During his summer internship at a major publishing house, Abe prepared a report on contemporary young-adult fiction. As part of his research, Abe looked at 75 randomly chosen young-adult novels published last year and noted whether they include a love triangle or not. He found that 59 of the 75 did. Estimate the proportion of young-adult novels that include a love triangle, including a margin of error.
In the above scenario, it can be estimated with 95% confidence that the true proportion of young adult novels that include a love triangle are between 0.6854 and 0.8890
How is this so?First we compute the Point Estimate
PE = 59/75 = 0.7867
Next we compute the standard error
SE = √((- - hat x (1 - p- hat) )/n)
= √( (o.7867 x (1 - 0.7867 ))/ 75
= 0. 509
Since the expected confidence level is 95%,
Margin of error = t - critical x S E
= 1.99 x 0.0509
= 0.101291
Thus,
point estimate ± margin of error
0.7867 ± 0.1013
(0.6854, 0.8880)
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What is the rate of change?