Answer:
Coordinate of 4th vertex of the rectangle is ( 8 , -8 ).
Step-by-step explanation:
Given Vertices of Rectangle are ( 5 , -3 ) , ( 5 , -8 ) , ( 8 , -3 )
To find: Coordinate of Fourth Vertex of the rectangle.
First, Plot all given three points on the graph.
Graph is attached.
We know that Opposite sides of the rectangle are equal and parallel.
Also All angles of rectangles are right angle.
So to satisfy these properties of rectangle.
4th coordinate must be on line x = 8 and y = -8.
⇒ Fourth coordinate = ( 8 , -8 )
Therefore, Coordinate of 4th vertex of the rectangle is ( 8 , -8 ).
The mayor of Gilbert, AZ, randomly selects 300 of its residents for a survey while the mayor of Camp Verde, AZ, randomly selects 100 of its residents and asks them the same question. Both surveys show that 15% of the residents of each town want Arizona to start using daylight savings like most of the rest of the country. If the confidence level for both surveys is 95% (z*-value 1.96), then which statement is true? The margin of error for the Camp Verde survey will be the size of the margin of error for the Gilbert survey. The margin of error for the Camp Verde survey will be between and the size of the margin of error for the Gilbert survey. The margin of error for the Camp Verde survey will be three times greater than the margin of error for the Gilbert survey. The margin of error for the Camp Verde survey will be between one and three times as great as the margin of error for the Gilbert survey. Mark this and return
Answer:
The margin of error for the Camp Verde survey will be between one and three times as great as the margin of error for the Gilbert survey.
Step-by-step explanation:
The statement which is true, the margin of error for the Camp Verde survey will be between and the size of the margin of error for the Gilbert survey.
What is margin of error?The probability or the chances of error while choosing or calculating a sample in a survey is called the margin of error.
[tex]MOE_\gamma=z_{\gamma}\dfrac{\sigma ^2}{n}[/tex]
Here, γ is the confidence interval, σ is standard deviation and n is the sample.
The mayor of Gilbert, AZ, randomly selects 300 of its residents for a survey while the mayor of Camp Verde, AZ, randomly selects 100 of its residents and asks them the same question. Thus,
[tex]n_1=300\\n_2=100[/tex]
Both surveys show that 15% of the residents of each town want Arizona to start using daylight savings like most of the rest of the country.
The confidence level for both surveys is 95% (z*-value 1.96). Thus, comparing the MOE of both the data as,
[tex]\dfrac{MOE_2}{MOE_1}=\dfrac{z_{\gamma}\sqrt{\dfrac{\sigma ^2}{n_2}}}{z_{\gamma}\sqrt{\dfrac{\sigma ^2}{n_1}}}\\\\\dfrac{MOE_2}{MOE_1}=\dfrac{\sqrt{\dfrac{1}{100}}}{\sqrt{\dfrac{1}{300}}}\\\dfrac{MOE_2}{MOE_1}=1.73[/tex]
Thus, the statement which is true, the margin of error for the Camp Verde survey will be between and the size of the margin of error for the Gilbert survey.
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From midnight to 6:00 am, the temperature rose 8*C. At 6:00 am, the temperature was -20*C. What was the tempeature at midnight?
system of equations
y=2x-3
x+y=18
A wooden peg game in the shape of a triangular prism is 2 inches tall. The triangle has a base of 12 inches and a height of 9 inches. Find the volume of the game.
The volume of the wooden peg game in the shape of a triangular prism is calculated by finding the area of the triangular base and multiplying by the prism's height. The area of the triangle is 54 square inches, and the volume of the game is 108 cubic inches.
To find the volume of the wooden peg game, we will use the formula for the volume of a prism, which is the area of the base times the height of the prism. The base of the prism is a triangle, so first, we need to find the area of the triangular base. The area of a triangle is calculated by multiplying the base by the height and then dividing by 2.
First, we calculate the area of the triangle base:
Area of triangle base = (Base of triangle x Height of triangle) / 2Area of triangle base = (12 inches x 9 inches) / 2Area of triangle base = 108 inches² / 2Area of triangle base = 54 inches²Next, we multiply the area of the base by the height of the prism to find the volume:
Volume of prism = Area of base x Height of prismVolume of prism = 54 inches² x 2 inchesVolume of prism = 108 inches³Therefore, the volume of the wooden peg game is 108 cubic inches.
can you help with this question
whats 5 plus 4 ..........
the function ........
If you flip a coin and roll a 5-sided die, what is the probability that you will flip a tails and roll a 2?
[tex] |\Omega|=2\cdot5=10\\
|A|=1\\\\
P(A)=\dfrac{1}{10}=10\% [/tex]
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Fraction 4 over 5n = Fraction 2 over 3. n = ___?
A. Fraction 2 over 15
B. Fraction 5 over 6
C. 1Fraction 1 over 5
D. 1Fraction 7 over 15
The correct option is (b) 5/6.
What is fraction?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.Given ,
[tex]\frac{4}{5} n = \frac{2}{3} \\[/tex]
now do simply cross multiplication both sides,
4n × 3 = 2 × 5
4n = 10/3
n = 10/3 ×4
n = 10/12 ⇒ 5/6
Therefore, value of n is 5/6.
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simplify4xy-2x+4x-8xy
19.6x24 i am confusion
A ___ expense is a cost that may happen each month, but one who's total amount may change from month to month. A) fixed B) variable C) flexible D) discretionary
Answer:
B. Variable
Step-by-step explanation:
A Variable expense is a type of expense that may vary from month to month. This type of expense includes things like electricity, groceries, clothing, and gas. When it comes to the groceries, it is considered to be a variable expense only if the household need the items that are purchased.
Answer:
B) variable
A variable expense is a cost that may happen each month, but one who's total amount may change from month to month.
a rancher wants to use 400 feet of fencing to enclose a rectangular area of 6400 square feet. what dimensions should the rectangle have ?
The rancher should build a square with dimensions of 80 feet by 80 feet to obtain an area of 6400 square feet with 400 feet of fencing.
Explanation:In this Mathematics task, the rancher is looking to build a rectangular area with a fixed amount of fencing. The information provided is:
Length of Fencing = 400 feet Area = 6400 square feet
Let l represent the length and w represent the width of the rectangle. Now, we know that a rectangle's perimeter is given by the formula, 2(l + w), and its area by l*w. Given the Area = 6400 and Length of Fencing = 400, we can set up the following two equations:
lw = 6400 (Area) 2(l + w) = 400 (Perimeter)
Solving these two equations simultaneously, we get l = 80 feet and w = 80 feet. So, the rectangle is actually a square, with equal length and width of 80 feet.
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what is the value of g divide by 4,if g=20?
a.4
b.5
c.6
d.7
Josh has scores of 16,19 and 23 on three quizzes what score must he get on the next quiz to have an average of at least 20?
ANYONE???
The meteorologist recorded the amount of rainfall, in centimeters, at 10 different locations during 1 day and then arranged the amounts from smallest to largest.
The amounts were 2, 2, 2, 2, 3, 3, 3, 4, 4, and 5 cm. The mean of these measurements is 3 cm.
What is the mean absolute deviation? 0.0 cm 0.8 cm 1.0 cm 2.5 cm
(The answer I have marked was random) Please tell me the answer and explain. Thanks.
Match the system of the equation to the correct description of its solutions
10x + 4y = 6
10x - 3y = 7
1. Single Solution
2. No Solution
3. Infinite Solution
simplify the expression. Write your answer using only positive exponents:7^6 x 7 x 7^-4
To simplify the expression 7^6 x 7 x 7^-4 using positive exponents, we can apply the rule of multiplying powers with the same base.
Explanation:To simplify the expression 7^6 x 7 x 7^-4 using positive exponents, we can apply the rule of multiplying powers with the same base. First, let's simplify 7^6 x 7. This can be rewritten as 7^(6+1) or 7^7. Next, let's simplify 7^7 x 7^-4. Applying the rule of multiplying powers with the same base, we get 7^(7-4) or 7^3. Therefore, the simplified expression is 7^3.
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Can someone please help me on number 8. Explain how you got the answer please .
Delilah does 184184184 jumping jacks in 444 minutes. She does her jumping jacks at a constant rate. How many jumping jacks can Delilah do per minute?
Answer:
46 jumps per minute.
Step-by-step explanation:
We have been given that Delilah does 184 jumping jacks in 4 minutes.
Since Delilah is jumping jacks at a constant rate, so the number of jumps per minute would be 184 divided by 4.
[tex]\text{Number of jumps per minute}=\frac{\text{184 jumps}}{\text{4 minutes}}[/tex]
[tex]\text{Number of jumps per minute}=\frac{\text{46 jumps}}{\text{minute}}[/tex]
Therefore, Delilah is jumping at a rate of 46 jumps per minute.
Which shows a correct order to solve this story problem? Lucy bought some muffins for her sports team. She bought 1 box of 12 blueberry muffins for $6.60 and 1 box of 6 cranberry muffins for $3.36. How much did Lucy pay for 1 cranberry and 1 blueberry muffin? A. Step 1: Calculate the price of 1 blueberry muffin. Step 2: Calculate the price of 1 cranberry muffin. Step 3: Multiply the 2 numbers together. B. Step 1: Add $6.60 to the price of a box of cranberry muffins. Step 2: Calculate the price of 1 blueberry muffin. Step 3: Multiply the 2 numbers together. C. Step 1: Calculate the price of 1 blueberry muffin. Step 2: Calculate the price of 1 cranberry muffin. Step 3: Add the 2 numbers together. D. Step 1: Add $3.36 to the price of a box of blueberry muffins. Step 2: Calculate the price of 1 cranberry muffin. Step 3: Multiply the 2 numbers together.
suppose linda had 2/3 of a yard of fabric and told Sandra that she used 3/4 of a yard. Sandra says this is not possible. Do you agree? Explain the answer
If 21% of the customers in a restaurant order fish, what is the probability that the next 3 costumers in a row will order fish?
The sum of three numbers is 78. the second number is two times greater than the first. the third number is 12 more than the first...... find each number
8(t+2)-3(t-4)=6(t-7)+8 i dont understand this is 5.111111 correct?
What is the formula for a circle that has a center at (-1,4) and goes through the point (-4,0)?
Hey can someone help me with #17
Which statement is true about two angles that are complementary?
A. The angles share a common ray.
B. The sum of the measures of the two angles is 90°.
C. The angles are opposite each other.
D. The sum of the measures of the two angles is 180°.
ITS B!!!
Answer:
Step-by-step explanation:
the answer is b hope this helps
Darren is finding the equation in the form y=mx+b for a trend line that passes through the points (2, 18) and (–3, 8). Which value should he use as b in his equation?