A resident of Bayport claims to the City Council that the proportion of Westside residents
(1) with income below the poverty level is lower than the proportion of Eastside residents
(2) The City Council decides to test this claim by collecting a random sample of resident incomes from the Westside of town and a random sample of resident incomes from the Eastside of town. Seventy-six out of 578 Westside residents had an income below the poverty level. Hundred-and-twelve out of 688 Eastside residents had an income below the poverty Specify the hypotheses.
Calculate the value of the test statistic (round to 4 decimal places).
Calculate the p-value (round to 4 decimal places).
Answers
Answer:
The test statistics is \(z = -1.56 \)
The p-value is \(p-value = 0.05938 \)
Step-by-step explanation:
From the question we are told
The West side sample size is \(n_1 = 578\)
The number of residents on the West side with income below poverty level is \(k = 76\)
The East side sample size \(n_2=688\)
The number of residents on the East side with income below poverty level is \(u = 112\)
The null hypothesis is \(H_o : p_1 = p_2\)
The alternative hypothesis is \(H_a : p_1 < p_2\)
Generally the sample proportion of West side is
\(\^{p} _1 = \frac{k}{n_1}\)
=> \(\^{p} _1 = \frac{76}{578}\)
=> \(\^{p} _1 = 0.1315 \)
Generally the sample proportion of West side is
\(\^{p} _2 = \frac{u}{n_2}\)
=> \(\^{p} _2 = \frac{112}{688}\)
=> \(\^{p} _2 = 0.1628 \)
Generally the pooled sample proportion is mathematically represented as
\(p = \frac{k + u}{ n_1 + n_2 }\)
=> \(p = \frac{76 + 112}{ 578 + 688 }\)
=> \(p =0.1485\)
Generally the test statistics is mathematically represented as
\(z = \frac{\^ {p}_1 - \^{p}_2}{\sqrt{p(1- p) [\frac{1}{n_1 } + \frac{1}{n_2} ]} }\)
=> \(z = \frac{ 0.1315 - 0.1628 }{\sqrt{0.1485(1-0.1485) [\frac{1}{578} + \frac{1}{688} ]} }\)
=> \(z = -1.56 \)
Generally the p-value is mathematically represented as
\(p-value = P(z < -1.56 )\)
From z-table
\(P(z < -1.56 ) = 0.05938\)
So
\(p-value = 0.05938 \)
Related Questions
23 points see attachment below
Answers
Answer:
-3
Step-by-step explanation:
The top left box on the x axis is negitive 3
Find the volume
(65 points)
Answers
Answer: 62.83 (rounded)
Step-by-step explanation:
The formula for volume in spheres is V = \(\frac{4}{3}\) \(\pi\) \(r^{2}\)
r = radius
So, we can just plug that in into
\(\frac{4}{3} \pi\) \((15)^{2}\)
V = 62.831853
A farmer has 10 animals, all chickens and horses. There are a total of 22 legs. How many of each animal does the farmer have?
Answers
9 chickens and 1 horse
Explanation:
9 chickens have 18 legs
1 horse has 4 legs
18 legs+ 4 legs= 22 legs
Find the annual interest rate.
I= $562.50, P=$1500, t= 5 years
The annual interest rate is_____%
Answers
The annual interest rate is 7.5%.
What is Simple interest?
Simple interest is a type of interest that is calculated on the principal amount (or the initial amount) of a loan or investment, without taking into account any accumulated interest from previous periods.
The formula for simple interest is:
I = P × r × t
where I is the interest earned, P is the principal (initial amount), r is the annual interest rate as a decimal, and t is the time in years.
In this case, we know I = $562.50, P = $1500, and t = 5 years.
we ca substitute values into the formula,
562.50 = 1500× r ×5
Simplifying, we get:
r = 562.50 / (1500 ×5)
r = 0.075
r = 7.5%
Therefore, the annual interest rate is 7.5%.
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What is the percentage of deaths that occurred in 2004? Round your answer to the nearest tenth of a percent.
Answers
Answer:
I'll round in each
200,000
220,000
228,000
228,800
228,800
i am so sorry if thats not what you want i just want to help as much people as possible and i dont know im percent so im so sorry again i apoligize
The percentage of deaths occurred in 2004 is 27.77%.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
We have the table that contains the total number of deaths worldwide as a result of earthquakes from 2000 to 2012.
In 2004,
228802 deaths occurred.
And the total number of deaths = 823756
To find the percentage:
Let n be the required percentage.
228802 = n x 823756 / 100
n = 228802 x 100 / 823756
n = 27.77%
Therefore, the percentage is 27.77%.
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Please help me i need to get this homework done
Answers
Answer:
y=1
m= 2
b= 3
Step-by-step explanation:
aretha jones receives a weekly salary of 420 at best buy she also receives a 5% commission on the total dollar amount of all sales she makes what must her total sales be in a week if she is to make a total $745
Answers
745-420= 325
325*.05= 16.25
325*16.25= 5281.25
Find the equation of the linear function represented by the table below in slope-
intercept form.
Answers
Answer:
y=2x+6
Step-by-step explanation:
Given that p(x)=2(5−x)2+1 , what is the value of p(-4)? Responses
Answers
Answer:
37
Step-by-step explanation:
x=-4
=2(5-(-4)2+1
=2(5+4)2+1
=2(9)2+1
=18(2)+1
=36+1
=37
plz answer i need this B
Answers
Answer:
Option CStep-by-step explanation:
The data in the table shows quantity increase with the price increase and we want to analyze the relationship between price and quantity.
The data indicates a positive slope if we keep price on x-axis and quantity on y- axis.
Option C is reflecting this and correctly highlighted.
Answer:
Option C
Step-by-step explanation:
Because as we can see y is increasing with respect to x
So the slope is positive
The line should go up rightwards
Hence option C is correct
A regular hexagon has a perimeter of 27 inches.
What is the area of the hexagon?
Enter your answer, rounded to the nearest tenth, in the box.
Answers
4.5 inches The closed polygonal shape of a regular hexagon includes six equal sides & six equal angles.
What is the hexagon's area?The are hexagon of a is calculated using the formula Area = (33 s2)/2, where s is the length of one of the regular hexagon's sides. The area of a polygon can also be calculated using the apothem by using the formula Area of polygon = (1/2) a P, where an is the apothem length and P is the hexagon's perimeter.
Six of a regular hexagon's sides are the same length.
The length of each side of a hexagon whose perimeter is 27 inches is
27/6 = 4 1/2 inches.
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Answer:
52.6
Step-by-step explanation:
took test
A local boys club sold 136 bags of mulch and made a total of $538. It sold two types of mulch: hardwood for $4.25 a bag and pine bark for $3.75 a bag. How many bags of each kind of mulch did it sell?
Answers
Answer:
56 hardwood 80 pine bark
Step-by-step explanation:
H = hardwood B= pine bark
B +H = 136
B = (136-H)
4.25 H + 3.75 (136-H) = 538
4.25H + 510 - 3.75H = 538
0.5 H = 28
1H = 56 (56 Hardwood)
136-56= 80
56x 4.25 + 80 x 3.75 = 538
$238 + $300 = $538
Find the volume of the prism.
Answers
Answer:
216 cubic meters
Step-by-step explanation:
to find the volume of any prism the equation is bh or base times height
the base is a triangle so you find the triangles area and multiply it by the height
8 * 6 * 1/2 = 24
24 * 9 = 216
216 cubic meters
<1 and <2 form a linear pair. The measure of <2 is six more than twice the measure of <1. Find the measure of <2
Answers
Answer:
122 Degrees
Step-by-step explanation:
Since we are given that angle 1 and 2 make a linear pair:
angle 1 + angle 2 = 180 degrees ----------------------------(1)
We have also been told that angle 2 is 6 more than twice the measure of angle 1
Which means: angle 2 = (2*angle1) + 6 -------------------(2)
From putting the value of angle 2 in (1) from (2)
angle 1 + 2*angle 1 + 6 = 180
3*angle 1 = 174
angle 1 = 58 degrees -----------------------(3)
From (1) and (3):
angle 2 + 58 = 180
angle 2 = 122 degrees
Therefore, the measure of angle 2 is 122 degrees
hello, help if you can thanks!!
how to write this paired data as a set of order pairs of the form (year, box, office).
what is the order pair that corresponds to the first row of data given in the table?
Answers
Answer:
(1999, 22.2)
Step-by-step explanation:
Assuming you meant the ordered pair to be (year, box office), the first ordered pair would be (1999, 22.2). 1999 is the first term in the year column, so it goes in the ordered pair where "year" is. 22.2 is the first term in the box office column so it goes where "box office" is.
The rest of the data can be arranged the same way:
(1999, 22.2)
(2001, 25.1)
(2003, 26.3)
(2005, 28.2)
(2007, 29.4)
Use the quadratic formula to find the exact solutions of 3x2 − 6x + 2 = 0.
a. negative 1 plus or minus the square root of 3 divided by 3
b. 1 plus or minus the square root of 3 divided by 3
c. negative 1 plus or minus the square root of 15 divided by 3
d. 1 plus or minus the square root of 15 divided by 3
Answers
The exact solutions of the qudratic equation 3x^2 - 6x + 2 = 0 are:
a. negative 1 plus or minus the square root of 3 divided by
3 (x = (-1 ± √3) / 3) .So, option a is the correct answer.
To find the solutions of the quadratic equation 3x^2 - 6x + 2 = 0, we can use the quadratic formula, which states that for an equation of the form ax^2 + bx + c = 0, the solutions are given by:
x = (-b ± √(b^2 - 4ac)) / (2a)
In this case, a = 3, b = -6, and c = 2. Substituting these values into the formula, we have:
x = (-(-6) ± √((-6)^2 - 4(3)(2))) / (2(3))
x = (6 ± √(36 - 24)) / 6
x = (6 ± √12) / 6
x = (6 ± 2√3) / 6
x = (3 ± √3) / 3
Therefore, the exact solutions of the equation 3x^2 - 6x + 2 = 0 are:
a. negative 1 plus or minus the square root of 3 divided by 3 (x = (-1 ± √3) / 3)
So, option a is the correct answer.
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Light travels at 186,000 miles per second. Light takes about 11⁄3 seconds to travel from the earth to the moon. Calculate the distance between the earth and the moon based on the speed of light.
miles
Answers
Answer:
\(\huge\boxed{\sf S = 682000\ miles}\)
Step-by-step explanation:
Given data:Speed of light = v = 186,000 mps
Time = t = 11/3 s
Required:Distance = S = ?
Formula:S = v × t
Solution:S = 186000 × 11/3
S = 2046000/3
S = 682000 miles\(\rule[225]{225}{2}\)
You have 50 cups. 10 cups are blue, 20 cups are red, and 20 cups are white. What percentage of cops are blue?
Answers
Answer:
10% or 5%
Step-by-step explanation:
i giveeee brainlilisttttttt
Answers
Answer:
2222ssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss22222222222222222222222222222222222222222222222222222222222222222222
Step-by-step explanation:
sssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss222222222222222222222222222222222
Miguel created the ratio table below to show how he uses the money he earns at work. How much money will he save if he earns 120.00?
Answers
After making the table using the given ratios we can conclude that Miguel will save $90 if he earns $120.00.
What do we mean by ratios?If b is not equal to 0, an ordered pair of numbers a and b, denoted as a / b, is a ratio.
A proportion is an equation that equalizes two ratios.
For example, you might write the ratio as 1: 3 (there are 3 girls for every guy), which would suggest that there are 1 in 4 boys and 3 in 4 girls.
By typically dividing two figures, ratios contrast them. If you were comparing one data point (A) to another data point, your formula would be A/B. (B).
So, the solution in the form of a table would be:
Money Earned Money saved Ratio
10 7.5 3/4
50 37.5 3/4
120 ? 3/4
150 112.5 3/4
? /120 = 3/4 => ? = 90
Miguel will save $90 if he earns $120.00.
Therefore, after making the table using the given ratios we can conclude that Miguel will save $90 if he earns $120.00.
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Correct question:
Miguel created the ratio table below to show how he uses the money he earns at work. Miguel’s Money Money Earned Money Saved $10.00 $7.50 $50.00 $37.50 $120.00? $150.00 $112.50 How much money will he save if he earns $120.00? $30.00 $45.00 $90.00 $75.00
On a roll. Suppose that you roll a fair, 6-sided die 10 times. What's the probability that
you get at least one 6?
Tyne a responro
?
Answers
The probability of not getting a 6 is found from
P(≠6) = 5/6
Do that 10 times
P(≠6) = (5/6)^10 = 0.1615
The probability of getting at least one 6 in 10 rolls is
P(=6) = 1-(5/6)^10 = 0.838 = 83.8%
4 tops, 3 pants, and 5 shoes to pick from. how many total outfit combinations does she have
Answers
Edwin sells jars of jam for $1.90 each. Determine how many jars of jam Edwin needs to sell to break even if the variable cost per jar is $1.10 and fixed expenses are $35,700.00 per year.
Answers
Edwin needs to sell 44,625 jars of jam to break even.
To determine how many jars of jam Edwin needs to sell to break even, we'll calculate the breakeven point using the following formula:
Breakeven Point = Fixed Expenses / (Selling Price per Unit - Variable Cost per Unit)
Given information:
Selling Price per Unit (SP) = $1.90
Variable Cost per Unit (VC) = $1.10
Fixed Expenses = $35,700.00 per year
Plugging in the values into the formula:
Breakeven Point = $35,700 / ($1.90 - $1.10)
Breakeven Point = $35,700 / $0.80
Breakeven Point = 44,625 jars
Therefore, Edwin needs to sell 44,625 jars of jam to break even.
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what is an equation of the line that passes through the point
(
8
,
−
8
)
(8,−8) and is perpendicular to the line
4
x
−
3
y
=
18
4x−3y=18?
Answers
9514 1404 393
Answer:
3x +4y = -8
Step-by-step explanation:
The perpendicular line will have the x- and y-coefficients swapped, and one of them negated. The constant in the equation will be such that the given point values will satisfy the equation.
4x -3y = 18 . . . . . . given equation
3x +4y = 3(8) +4(-8) = -8 . . . . swap coefficients, used point coordinates
3x +4y = -8 . . . . . the equation of the line you want
(07.03 MC)
Find the area of the sector of the circle with central angle of 225° and radius of 5 cm. Use 3.14 for pi(π) and round to the nearest hundredth.
Answers
Rounding to the nearest hundredth, the area of the sector is approximately 49.06 cm².
To find the area of the sector of a circle, you can use the formula:
Area = (θ/360) * π * r²,
where θ is the central angle in degrees, π is the mathematical constant pi (approximately 3.14), and r is the radius of the circle.
In this case, the central angle is 225° and the radius is 5 cm. Plugging these values into the formula, we get:
Area = (225/360) * 3.14 * (5 cm)²
Area = (0.625) * 3.14 * 25 cm²
Area ≈ 49.0625 cm²
Rounding to the nearest hundredth, the area of the sector is approximately 49.06 cm².
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As the CAPS document outlines, the Content Specification and Content Clarification for Patterns, Functions, and Algebra shows sequenced mathematics content topics and a content area spread. In the Intermediate Phase, select one topic and report on the topic sequence and content area spread. Your report should demonstrate mathematics concepts and procedures’ hierarchical and logical progression.
Answers
Answer:
Step-by-step explanation:
In the Intermediate Phase of mathematics education, one topic that demonstrates a hierarchical and logical progression in patterns, functions, and algebra is the concept of "Linear Equations."
The topic of Linear Equations in the Intermediate Phase builds upon the foundation laid in earlier grades and serves as a stepping stone towards more advanced algebraic concepts. Here is an overview of the topic sequence and content area spread for Linear Equations:
Introduction to Variables and Expressions:
Students are introduced to the concept of variables and expressions, learning to represent unknown quantities using letters or symbols. They understand the difference between constants and variables and learn to evaluate expressions.
Solving One-Step Equations:
Students learn how to solve simple one-step equations involving addition, subtraction, multiplication, and division. They develop the skills to isolate the variable and find its value.
Solving Two-Step Equations:
Building upon the previous knowledge, students progress to solving two-step equations. They learn to perform multiple operations to isolate the variable and find its value.
Writing and Graphing Linear Equations:
Students explore the relationship between variables and learn to write linear equations in slope-intercept form (y = mx + b). They understand the meaning of slope and y-intercept and how they relate to the graph of a line.
Systems of Linear Equations:
Students are introduced to the concept of systems of linear equations, where multiple equations are solved simultaneously. They learn various methods such as substitution, elimination, and graphing to find the solution to the system.
Word Problems and Applications:
Students apply their understanding of linear equations to solve real-life word problems and situations. They learn to translate verbal descriptions into algebraic equations and solve them to find the unknown quantities.
The content area spread for Linear Equations includes concepts such as variables, expressions, equations, operations, graphing, slope, y-intercept, systems, and real-world applications. The progression from simple one-step equations to more complex systems of equations reflects a logical sequence that builds upon prior knowledge and skills.
By following this hierarchical progression, students develop a solid foundation in algebraic thinking and problem-solving skills. They learn to apply mathematical concepts and procedures in a systematic and logical manner, paving the way for further exploration of patterns, functions, and advanced algebraic topics in later phases of mathematics education.
Directions: Determine whether the triangles are similar by Angle-Angle Similarity. If yes, write a similarity statement.
Answers
We will investigate how to determine the similarity off two triangles under the SSS property.
We are given two triangles in the first part. We will first state the SSS property of similar triangles:
\(\text{SSS: The ratio of similar sides must all be equal}\)Before we start with the ratios. We need to identify the similar sides of the two triangles. Longest side of one triangle is similar to the longest side of the other, Middle side of one triangle is similar to the middle side of the other, and smallest side of one triangle is similar to the smallest side of the other.
We can express the similar sides statements as follows:
\(\begin{gathered} \text{KR \textasciitilde SD} \\ KN\text{ \textasciitilde DE} \\ NR\text{ \textasciitilde SE} \\ \text{hence, }\Delta\text{ KRN \textasciitilde }\Delta\text{ DSE} \end{gathered}\)Now we will verify the hypothesis of similar sides by taking ratios of similar sides as follows:
\(\begin{gathered} \frac{KR}{SD}\text{ , }\frac{KN}{DE}\text{ , }\frac{NR}{SE} \\ \\ \text{postulate of SSS similar: }\frac{KR}{SD}\text{ = }\frac{KN}{DE}\text{ = }\frac{NR}{SE} \end{gathered}\)We will plug in the respective side values and determine the ratios:
\(\begin{gathered} \frac{KR}{SD}\text{ = }\frac{20.25}{31.5}\text{ , }\frac{KN}{DE}\text{ = }\frac{9}{14}\text{ , }\frac{NR}{SE}\text{ = }\frac{13.5}{21} \\ \\ \frac{KR}{SD}\text{ = }\frac{20.25}{31.5}\text{ = }\frac{KN}{DE}\text{ = }\frac{9}{14}\text{ = }\frac{NR}{SE}\text{ = }\frac{13.5}{21}\text{ = 0.64285714} \end{gathered}\)We see that the calculated values of the ratios of similar sides are ALL equal! Therefore, the triangles:
\(\Delta KRN\text{ \textasciitilde }\Delta DSE\text{ (SSS-similar property)}\)
Last Friday, Kira and Marcy got dinner at Seaside Sushi restaurant. Kira ordered 2 pieces of tuna and 5 pieces of crab. Marcy ordered 3 pieces of tuna and 6 pieces of crab. Did Kira and Marcy order the same ratio of tuna pieces to crab pieces?
Answers
Answer:
no
Step-by-step explanation:
because Kira ordered 5 pieces of crab while Marcy has ordered 6 pieces of crab
expand 2x(3x+2y) thank you
Answers
Answer:
6x^2+4xy
Step-by-step explanation:
You distribute the 2x by multiplying it with each term
2x(3x)+ 2x(2y)
6x^2+4xy
hopes this helps please mark brainliest
find the 46th term 261 256 251
Answers
Answer:
36
Step-by-step explanation:
The numbers given represent an arithmetic series with a common difference of -5. The formula to find the nth term of an arithmetic sequence is:
a + (n - 1)d
where a is the first term and d is the common difference. We can substitute our values in:
261 + (46 - 1)(-5)
261 + (45)(-5)
261 + (-225)
36
Answer:
36
Step-by-step explanation:
Have a good day :)