To estimate the true proportion of home owners who have vegetable gardens to within 6 percentage points with confidence, a sample size of 384 would be needed.
How big of a sample is required to confidently estimate the true percentage of homeowners having vegetable gardens to within 6 percentage points?This can be calculated using a sample size calculator and the given margin of error and desired confidence level.The size of the sample needed can be calculated using the formula n = (z2 * p * (1-p)) / e2, where n is the size of the sample, z is the z-score associated with the desired confidence level (1.96 for 95% confidence), p is the estimated proportion of home owners having a vegetable garden, and e is the margin of error (6 percentage points).Assuming a conservative estimate of p = 0.50, the sample size needed to estimate the true proportion of home owners having a vegetable garden to within 6 percentage points with 95% confidence is:n = (1.962 * 0.50 * 0.50) / (0.06)2 = 384.9 ≈ 385Therefore, a sample size of 385 home owners is needed to estimate the true proportion of home owners having a vegetable garden to within 6 percentage points with 95% confidence.The equation is: n = (z_alpha/2)^2 * (p*(1-p)) / e^2 Where n is the sample size, z_alpha/2 is the z-score for the desired confidence level (e.g., z = 1.96 for a 95% confidence level), p is the estimated population proportion, and e is the margin of error. For this example, we can assume a 95% confidence level (z = 1.96), a population size of N = 100,000, and a margin of error of 6 percentage points (e = 0.06). Plugging these values into the sample size equation, the required sample size is n = (1.96/2)^2 * (0.5*(1-0.5)) / 0.06^2 This gives us a sample size of n = 384.To learn more about the Theory of Confidence Intervals refer to:
https://brainly.com/question/15712887
#SPJ4
Which word or phrase describes the value of the function over the interval [ -6, 0]
Answer:
C is the correct answer
From the graph we can see that at the given interval [-6,0] the graph decreases from left to right.
Initially the y-values is a little over 3 and then it decreases to about 0.5 at the end of the interval.
Thus, the graph of the function over the interval [-6,0] is decreasing.
1. Substitution is the second strategy for: *
a. solving a system of equations
b. finding the x-intercept and y-intercept
c. graphing an equation
The solution is Option A.
Substitution is the second strategy for solving a system of equations
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the first equation be represented as A
Now , the value of A is
ax + by = c be equation (1)
Let the second equation be represented as B
dx + ey = f be equation (2)
On adding or subtracting both the equations , we can eliminate one of the variables from the system of equations
And , to calculate the other variable , substitute the value of the variable in either of the equations to solve the system of equations
So , we will get the value of the variable x and y
Hence , the system of equations can be solved by substitution
To learn more about equations click :
https://brainly.com/question/27567574
#SPJ1
pls help me on this question
1) false
2) false
3) true
4) true
5) true
Answer:
1 false,2 false,3 true,4 true,5 true
WHERE DO YOU PLACE THE PARENTHESES TO EQUAL TO 40
4+2•3^2
HELPPPP!! IT HAS TO EQUAL TO 40!!!!
Someone please answer... In 2010, the population of a city was 59,000. From 2010 to 2015, the population grew by 7.3%. From 2015 to 2020, it fell by 5.3%. To the nearest whole number, by what percent did the city grow from 2010 to 2020?
3x+2y=28,5x-3y=15 URGENTLY
Answer:
(6, 5 )
Step-by-step explanation:
3x + 2y = 28 → (1)
5x - 3y = 15 → (2)
multiplying (1) by 3 and (2) by 2 and adding the result will eliminate y
9x + 6y = 84 → (3)
10x - 6y = 30 → (4)
add (3) and (4) term by term to eliminate y
19x + 0 = 114
19x = 114 ( divide both sides by 19 )
x = 6
substitute x = 6 into either of the 2 equations and solve for y
substituting into (1)
3(6) + 2y = 28
18 + 2y = 28 ( subtract 18 from both sides )
2y = 10 ( divide both sides by 2 )
y = 5
solution is (6, 5 )
A medical equipment industry manufactures X-ray machines. The unit cost C (the cost in dollars to make each X-ray machine) depends on the number of
machines made. If x machines are made, then the unit cost is given by the function C(x)=0.1x²-22x+11,599. How many machines must be made to
minimize the unit cost?
Do not round your answer.
The number of machines to minimize the unit cost is 110 and minimum cost is 10,389 .
What is Quadratic Equation?
Quadratic equation can be defined as the equation which is in the form of ax^2 +bx +x = 0.
where a,b,c are constants.
Given ,
The standard form of a quadratic is given by:
ax^2 + bx + c
So for our function, we can say,
a = 0.1
b = -22
c = 11599
We can find the vertex (x-coordinate where minimum value occurs) by the formula -b/2a
So,
= -(-22) / 2*0.1
=22/0.2
= 110
Plugging this value into original function would give us the minimum (unit cost):
C(x) = 0.1 x ^2 - 22x +11599
C(x) = 0.1(110*110) - 22(110)+11599
C(x) = 110(11-22) + 11,599
C(x) = -11(110) + 11599
C(x) = -1210 + 11599
C(x) = 10,389
Hence , The number of machines to minimize the unit cost is 110 and minimum cost is 10,389 .
To learn more about Quadratic Equation from the given link.
https://brainly.com/question/30098550
#SPJ1
a) which group has lower mode.
b) what is this mode?
The easiest way to determine the mode of any data set, is to figure out which number appears most frequently, or most common.
You can take all of the numbers and count how many times each number appears. The number that appears the most is called the mode.
In the first pie chart (Group A), we can see that the orange piece is the biggest, therefore the most common. The orange piece has equal value to 4.
In the next group (Group B), we can determine the mode by looking at the highest bar, which would be 5.
4 is less than 5, which means that the answer to this question would be Group A.
Which set of ordered pairs (x, y) could represent a linear function?
A = {(-2,5), (0, 3), (2, 1), (5,-2)}
B = {(2,9), (4,5), (5,2), (6,0)}
C = {(-3,-8), (0,-4), (3,-1), (6,2)}
D = {(-2,3), (0, -1), (2,-4), (4,-7)}
please help me!! I can’t figure it out
Answer:
Point 1 (-7, 1)
Point 2 (=9`, -5)
Point 3 (-2, 4)
Step-by-step explanation:
Step 1. Move each point by 1 to the left. (Shown in dark blue)
Step 2: Move the points in dark blue down by 7. (shown lin light blue)
Step 3: find each point by lining up x and y.
You can be identified by x being left to right resembling shaking your head saying "no"
for Y shake your head up and down for Yes.
Three vertices of a parallelogram are shown in the figure below.
Give the coordinates of the fourth vertex.
(-7,-6)
(6,3)
(4,-4)
The fourth point is (-6.5, -14)
Vertices of a parallelogram?
The three vertices you've provided are (-7,-6), (6,3), and (4,-4). To find the fourth vertex of a parallelogram, we can use the fact that opposite sides of a parallelogram are parallel and congruent, meaning they have the same length and the same slope.
The three vertices you've provided are (-7,-6), (6,3), and (4,-4). To find the fourth vertex of a parallelogram, we can use the fact that opposite sides of a parallelogram are parallel and congruent, meaning they have the same length and the same slope.
One way to find the fourth vertex is to use the vector that connects one vertex to another. The vector from (-7,-6) to (6,3) is (13,9), and from (6,3) to (4,-4) is (-2,-7)
If we use the vector which is opposite of (-2,-7) that is (2,7) and add it to the third point (4,-4) , we will get the fourth point.
(2,7) + (4,-4) = (6,3)
so the fourth point is (6,3)
Another way is to find the midpoint of the diagonal of the parallelogram which are (-7,-6) and (4,-4) and then add the vector which is opposite of (6,3) to (4,-4) that is (-6,-9) which is also the vector from (6,3) to (4,-4)
Midpoint of (-7,-6) and (4,-4) = (-0.5,-5)
(-0.5,-5) + (-6,-9) = (-6.5, -14)
Hence, the fourth point is (-6.5, -14)
To learn more about parallelogram, Visit
https://brainly.com/question/970600
#SPJ1
A large green jar of candy contains red, green, and yellow candy. The probability of pulling a red candy out of the jar is 1/4. The probability of pulling a green candy out of the jar is 5/8. What is the probobility of randomly pulling a yellow candy out of the jar
Answer:
1/8
Step-by-step explanation:
total probability = 1
total probability = probability of red + probability of green + probability of yellow
1 = 1/4 + 5/8 + yellow
we want to find a common denominator
in this case, we know 4 * 2 = 8, so we can multiply 1/4 by 2/2 = 1 to get
1/4 * 2/2 = 2/8
1 = 2/8 + 5/8 + yellow
1 = 7/8 + yellow
subtract 7/8 from both sides to isolate yellow
1 = 8/8
1 - 7/8 = 8/8 - 7/8 = 1/8 = yellow
Multiply using the distributive property
D) Simplify the expression:
8(1 + 7d) =
Answer:
8 + 56d
Step-by-step explanation:
We will open the parentheses, multiplying the stuff outside by the stuff inside. So, we get:
8*1 + 8*7d
Then, we can simplify by giving us:
8 + 56d
Hope this helped!
tony wants to add 97 to 298 and first add 100 to 300 what must he now subtract from this result to obtain 97+298
Step-by-step explanation:
Let A be the sum from 100 to 300
so the sum of 97 to 298 =
A - (299+300) + 97 +98
= A - 403
Radicals help please
Therefore, we can rationalize the denominator of a fraction containing a radical by taking the methods outlined above.
Describe fraction.Components of fractions are the numbers in the numerator and denominator (and ratios). The denominator, which is the smallest number, represents the greatest possible number of parts that can be put together to create a whole. You can tell how many parts you have by looking at the numerator, which is the greatest number. It might not be the whole thing! If the denominator is 0, that is bad. Division by zero is prohibited. If the denominator is a 1, our fraction is actually an integer.
Here,
we can rationalize a radical-containing fraction's denominator by doing the following:
Step 1: In order to eliminate the radical from the denominator, multiply the numerator and denominator by a radical.
Verify in step two that all radicals have been streamlined.
Step three is to simplify the fraction, if necessary.
Therefore, we can rationalize the denominator of a fraction containing a radical by taking the methods outlined above.
To know more about fraction , visit
brainly.com/question/10708469
#SPJ1
HELPPPPPP PLEASEeeeeeeeeeeeeee
it is this answer x≥
3
8
I don't know the step by step solution
whats an=19-7(n-) in function form
The given expression is the explicit equation for arithmetic progression whose first term is 19 and the common difference is -7.
What is arithmetic progression?Arithmetic progression is the series of numbers that have common differences between adjacent values.
here,
Given expression,
an=19-7(n-1)
The above-given expression is an explicit formula for the arithmetic progression,
Comparing the given expression with general expression an = a + d[n-1]
From the above comparison, we
first term,a = 19 and
the common difference, d = -7
Thus, the given expression is the explicit equation for arithmetic progression whose first term is 19 and the common difference is -7.
Learn more about arithmetic progression here: https://brainly.com/question/20334860
#SPJ1
Select the correct answer.
Use the quadratic formula to solve the equation below.
x ( x + 16) = -64
Answer:
x = -8 (10
Step-by-step explanation:
x (x + 16) = -64
-8(10 + 16) = -64
-80 + 16 = -64
-64 = -64
Select the correct answer. A record label surveyed 150 random visitors to its website to discover whether they prefer metal, rock, hip-hop, or jazz. The survey showed that 27 visitors preferred metal, 78 preferred rock, 21 voted for hip-hop, and 24 liked jazz. If the company estimates sales of 6,000 copies a week at its online store, how many will likely be from the rock genre
The company is likely to sell 3,120 copies of rock music per week.
If the company estimates sales of 6,000 copies a week at its online store, it is likely that 78/150 x 6,000 = 3,120 copies will be from the rock genre.
To find this, we first need to calculate the proportion of visitors that preferred rock music by dividing the number of visitors who preferred rock (78) by the total number of visitors surveyed (150). This gives us 78/150 = 0.52.
Next, we multiply this proportion by the estimated number of weekly sales at the online store (6,000) to find the number of sales that are likely to be from the rock genre. 0.52 x 6,000 = 3,120.
So, the company is likely to sell 3,120 copies of rock music per week.
To learn more about the multiply, visit:
brainly.com/question/23536361
#SPJ4
6 and 18/54 simplified
Ash and Bea are engravers. Ash charges a flat fee of $\$1.50$ for the first $21$ letters engraved, and $8$ cents per letter thereafter. Bea charges a flat fee of $\$1.60$ for the first $15$ letters engraved, and $7$ cents per letter thereafter. For what nonzero number of letters will Ash and Bea's engraving prices be the same?
The number of nonzero letters that will see Ash and Bea's engraving prices being the same, is 25 letters
How to find the number of letters ?The formula for the cost to engrave with Ash, given that the number of letters engraved is x, would be :
= Flat fee + Cost per letter x Number of letters after 21 letters
= 1. 50 + 0. 08 x
The formula for the cost to engrave with Bea, given that the number of letters engraved is x, would be :
= Flat fee + Cost per letter x Number of letters after 15 letters
= 1. 60 + 0. 07 x
Equating these equations together will show the number of letters :
1. 50 + 0. 08 x = 1. 60 + 0. 07 x
0. 08 x - 0. 07 x = 1. 60 - 1. 50
0. 01 x = 1. 10
x = 0. 10 / 0. 01
x = 10 letters
Number of non zero number of letters would be 25 letters :
= 15 + 10
= 25 letters
Find out more on letters at https://brainly.com/question/13726634
#SPJ1
How many types of angles are there in class 7?
There are basically 6 types of angles are there which are acute, obtuse, right, straight, reflex and complete angles.
If an angle is less than 90 degrees, it is known as an acute angle. If an angle is more than 90 degrees, then it is called an obtuse angle. If an angle is exactly 90 degrees, then it is called the right angle.
If an angle is precisely 180 degrees, then it is called a straight angle. If the angle is more than 180 degrees but less than 270 degrees, it is known as a reflex angle. A full 360-degree angle is called a complete angle.
To know more about straight angle, here
https://brainly.com/question/29405386
#SPJ4
4. Xin is getting an estimate from a printer for fliers for the drama club. Xin
orders color prints and negotiates a 10% discount on the print job for
the drama club. If f represents the number of fliers Xin orders, does
0. 10(17. 50 +0. 20f) represent the total cost of the print job? Why or why not?
Setup
Black & white print
Color print
$17. 50
$0. 09 each
$0. 20 each
yes, this 10(17. 50 +0. 20f) represent the total cost of the print job. This can be solved by using the concept of expression.
What is an expression?A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation. Any one of the following mathematical operations can be used i.e. addition, subtraction, multiplication, or division.
There are three different expression types:
There is just one arithmetic value that an arithmetic expression may produce.A character expression evaluates to just one character value.One logical value is produced by the evaluation of a logical or relational statement.Given that,
10% discount on the print job
thus, 10% = 0.10.
Therefore, once he pays the $17.80 setup fee and then 0.20f (or $0.20 per flyer), then we would multiply by 10% (Or 0.10).
so, we get: 0.10 × (17.50 + 0.20f)
Yes, 0.10 × ( 17.50 + 0.20f ) does represent the total cost of the print job.
To know more about expressions refer to:
https://brainly.com/question/1859113
#SPJ4
How do you identify the solutions in solving linear inequalities in two variables *?
To identify the solutions in solving linear inequalities in two variables, you can first graph the equation on a coordinate plane. Then, you can use the boundary line to identify which regions of the plane satisfy the inequality.
Any points in the shaded regions will be solutions to the inequality. Additionally, you can use the boundary line to identify the points that are not solutions by finding the points that lie on the boundary line.
Example:
x + 2y ≥ 4
The graph of this inequality is a line with a slope of -2/1 and a y-intercept of 4/2. The line will be shaded on the side of the line containing the greater values, which in this case is the side containing the origin.
Learn more about linear inequalities:
https://brainly.com/question/24170593
#SPJ4
Even more geometry stuff pls help
Answer:
[tex]z=\frac{25}{3}[/tex]
Step-by-step explanation:
Using the Pythagorean theorem, the length of the altitude to the hypotenuse is [tex]\sqrt{5^2-3^2}=4[/tex].
Using the geometric mean theorem,
[tex]4^2=3(z-3) \\ \\ 16=3z-9 \\ \\ 25=3z \\ \\ z=\frac{25}{3}[/tex]
Jorge’s family is taking a car trip to see his grandmother. The family plans to spend 3 days on the road. The distance is 687 miles. About how far must they drive each day?
whats the answer for this question i need help
The answer for it is r = -4 :))
Divide 70 by 9 and write the answer as a: mixed number and as a decimal number with a bar over the repetend.
Please help if you can!Thanks!
Answer:
Step-by-step explanation:
7 7/9 Is the first one
And 7.7 with the second 7 repeating
A mum of 5 children has truncated her children’s heights in metres to 2 decimal places, and written them down in the table on the left.
a) Write down the intervals within which each child’s actual height lies.
b) Write down the minimum and maximum height difference between the tallest and shortest child.
Answer:
d
Step-by-step explanation:
16. 2m² +13m +20
factor each trinomial
So, (2m + 4)(m + 5) is the factored form of 2m² +13m +20.
Define Factorial.The factorial of a non-negative integer n, represented by n! is the product of all positive integers less than or equal to n. It is the mathematical operation that is applied to a non-negative integer.It is also used in many areas of mathematics, including calculus and number theory, as well as in many areas of science, including physics, chemistry, and computer science.
What is variables and constants ?A constant has a fixed value and does not vary over time. For instance, the size of a shoe, a piece of clothing, or any other article of clothing will never alter. x+y = 8 is an algebraic equation, and 8 is a constant that cannot be altered. Variables are concepts that change or fluctuate throughout time.
To factor a trinomial of the form "ax² + bx + c," we can use the following steps:
First, we need to determine two numbers that multiply to give us "c" and add to give us "b." In this case, the two numbers are 4 and 5 because 4 x 5 = 20 and 4 + 5 = 9, which is equal to "13m".
Next, we can factor the trinomial into the form (ax + b)(cx + d) by grouping the middle term and the constant term together.
So, the factored form of the trinomial is (2m + 4)(m + 5)
So, (2m + 4)(m + 5) is the factored form of 2m² +13m +20.
To learn more about algebra visit:
brainly.com/question/24875240
#SPJ1