In a random sample of 74 homeowners in a city, 22 homeowners said they would


support a ban on nonnatural lawn fertilizers to protect fish in the local waterways. The sampling


method had a margin of error of ±3. 1%.



A) Find the point estimate.



B) Find the lower and upper limits and state the interval

The answer of the given question is the solution to the inequality h(t) > 9 is any value of t that makes h(t) greater than 9.

An inequality is a mathematical statement that shows a relationship between two values or expressions that are not equal. It uses symbols such as < (less than), > (greater than), ≤ (less than or equal to), or ≥ (greater than or equal to) to express the relationship between the two values. Inequalities are often used in algebra, geometry, calculus, and other areas of mathematics to represent constraints or limits on values or to compare two different sets of values. For example, an inequality might be used to determine if a certain number falls within a certain range, or to find the maximum or minimum value of a function given certain constraints.

The solution to the inequality h(t) > 9 is any value of t that makes h(t) greater than 9.

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Answer:

For #7, the answer is 30.3 yd

For #8, the answer is 32.34 in

For #9, the answer is 56.26 ft

Explanation: The formula for an area of a parallelogram is ( A=bh)

Hope that helped!!

Answer:748cm^2

Step-by-step explanation:

(i) The number of different divisions possible when 15 children divide themselves into teams of 5 each (Team A, B, and C) is 756.

(ii) If the teams are not distinguishable, the number of different divisions possible is 756 divided by 3!, which equals 126.

(i) To determine the number of different divisions when 15 children divide themselves into three teams of 5 each, we can calculate the number of combinations.

Since the order of the teams does not matter, we use the combination formula.

The formula is nCr = n! / (r! * (n - r)!), where n is the total number of children and r is the number of children per team.

Plugging in the values, we have 15C5 * 10C5 = (15! / (5! * 10!)) * (10! / (5! * 5!)) = 756.

(ii) If the teams are not distinguishable, we need to account for the fact that the order of the teams doesn't matter.

Each division would be counted multiple times if we considered the teams distinguishable. Since there are 3! (3 factorial) ways to arrange the teams, we divide the previous result by 3!, which gives us 756 / 3! = 126.

This accounts for the different arrangements of the same teams and gives us the number of distinct divisions.

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Answer:

19p+ 2

Step-by-step explanation:

I hope this helps :-)

Answer:

Step-by-step explanation:

5(2p+1)+3(3p-1)

5p + 3p + 2p + 3p =

                         13

Answer:

Area of wood required = 96 in²

Step-by-step explanation:

Since volume of a cube = Length × Width × Height

64 = (Side)³

Side = 4 inch

Area of the wood required to build a wooden box = Surface area of all 6 sides of the cube

= 6(Area of one side of the box)

= 6(Side)²

= 6(4)²

= 96 inch²

Therefore, 96 square inches of wood will be required to build the wooden box.

Answer:

Step-by-step explanation:

1. The length of one edge of the box is 4 inches due to the 64 cubic inches being 4 x 4 x 4 with all sides being equal.

2. The area of a face of the box is height x width, therefore 4 x 4 = 16 inches squared .

3. The total area of all faces is the answer from part 2 x all faces of a box, which is 6; therefore 6 x 16 = 96 inches squared.

4. Carlos needs 96 square inches of wood to build his box.

The point M that divides segment AB into a ratio of 2:3 A) (8,9) is the correct answer.

To find the point M that divides segment AB into a ratio of 2:3, we first need to find the total distance between points A and B, which is:

AB = sqrt((20-0)^2 + (0-15)^2) = sqrt(400 + 225) = sqrt(625) = 25

Next, we need to determine the distance from point A to point M, which is 2/5 of the total distance (since the ratio of 2:3 can be simplified to 2/5:3/5):

AM = (2/5)AB = (2/5)25 = 10

Using the slope formula, we can determine that the slope of line AB is -3/2:

m = (y2 - y1)/(x2 - x1) = (0 - 15)/(20 - 0) = -3/2

Since we know the slope of the line and the coordinates of point A, we can use point-slope form to find the equation of the line:

y - 15 = (-3/2)(x - 0)

y = (-3/2)x + 15

To find the x-coordinate of point M, we can substitute y = 9 (since we know the y-coordinate of point M is 9):

9 = (-3/2)x + 15

-6 = (-3/2)x

x = 4

Finally, we can substitute x = 4 into the equation of the line to find the y-coordinate of point M:

y = (-3/2)(4) + 15 = 9

Therefore, the point M that divides segment AB into a ratio of 2:3 is (4, 9), which corresponds to answer choice A).

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Answer:

The formula for the area of a circle is:

A = πr^2

where A is the area and r is the radius.

In this case, we are given that the area is 4π cm². Solving for the radius, we get:

4π = πr^2

r^2 = 4

r = 2

So the radius of the circle is 2 cm.

The formula for the circumference of a circle is:

C = 2πr

Plugging in the value for the radius, we get:

C = 2π(2) = 4π

Therefore, the circumference of the circle is 4π cm.

Answer:

Slope is -2x

Step-by-step explanation:

2x + y =5

2x-2x +y= 5 -2x

y= 5 -2x

so y= -2x+5

and the slope is -2x so the answer is -2x

The correct option A. True: Because you may alter the size of the groupings just on horizontal axis depending on the how detailed of the a graph you want, bar graphs are more flexible than line plots.

Since, you can alter the size of the categories on the horizontal axis according on how complex of a graph you want, bar graphs are more flexible than line plots.

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In the worst-case scenario, the company should use the following values: price = $799 per unit, variable cost = $289 per unit, fixed costs = $2.89 million, and quantity = 60,950 units.

In the best-case scenario analysis for Automatic Transmissions, Inc.'s new gear assembly project, the company assumes the upper limit of the ±15 percent range for its estimates. For the price per unit, they take a 15 percent increase, resulting in a value of $1081. Similarly, the variable cost per unit is increased by 15 percent to $391. The fixed costs are also adjusted upwards by 15 percent, reaching $3.91 million. Finally, the quantity is decreased by 15 percent, leading to a value of 45,050 units.

On the other hand, in the worst-case scenario analysis, the company assumes the lower limit of the ±15 percent range for its estimates. The price per unit is decreased by 15 percent, resulting in $799. The variable cost per unit is decreased to $289. The fixed costs are adjusted downwards to $2.89 million. Lastly, the quantity is increased by 15 percent to 60,950 units.

Therefore, in the worst-case scenario, the company should use the following values: price = $799 per unit, variable cost = $289 per unit, fixed costs = $2.89 million, and quantity = 60,950 units

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Answer:

100 yes there are trust me

The final equation of the logarithmic equation is x³ - 12x² + 27x - 27 = 0

We have,

To solve the equation \(\log x_{3} (x-9) + \log x_{3} (x-3) = 2\),

We can use the logarithmic rule that states:

㏒a (x) + ㏒a (y) = ㏒a (xy)

Using this rule, we can simplify the equation as follows:

\(\log x_{3} [(x-9)(x-3)] = 2\)

Now, we can use the definition of logarithms, which states:

㏒a (x) = b if and only if a^b = x

Using this definition, we can rewrite the above equation as:

\(x^2_{3} [(x-9)(x-3)] = 3^2\)

Expanding the brackets and simplifying.

x³ - 12x² + 27x - 27 = 0

Thus,

The final equation of the logarithmic equation is x³ - 12x² + 27x - 27 = 0

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Answer:

The measure of angle J is 44°

Step-by-step explanation:

Isosceles Trapezoid

The isosceles trapezoid has its non-parallel sides of the same length, thus the angles they form with their respective parallel sides are congruent.

It means: Angle J is congruent with angle K and angle M is congruent with angle L

The sum of angles in a trapezoid is 180*(4-2)=360°

Thus:

\(m\angle J+m\angle K+m \angle M+m\angle L = 360^\circ\)

\(7x+2+7x+2+25x-14+25x-14=360\)

Joining like terms:

\(64x-24=360\)

Adding 24:

\(64x=384\)

Dividing by 64:

x=6°

Thus:

\(m\angle J = 7*6+2=44^\circ\)

\(m\angle M = 25*6-14=136^\circ\)

The measure of angle J is 44°

Answer:

Step-by-step explanation:

Both snowmen will have an equal height after 4 hours after sunrise.

To understand the reasoning behind the equations and solutions, we can break down the problem into several steps.

First, we are given the initial heights of Snowman A and Snowman B, 59 and 39 inches, respectively.

Next, we are told that the height of Snowman A decreases by 9 inches per hour and the height of Snowman B decreases by 4 inches per hour. This means that after t hours, the height of Snowman A will be 59 - 9t and the height of Snowman B will be 39 - 4t.

To find the number of hours after sunrise when both snowmen have an equal height, we need to set A = B and solve for t. This gives us the equation:

59 - 9t = 39 - 4t

Solving for t, we get:

20 = 5t

t = 4

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Kwan will finish the book on Thursday.

Kwan must read a book that is 400 pages long. He reads at a rate of one page per minute, and he reads for one-half hour every day. This means that he reads 30 pages every day. If he starts reading on a Saturday, he will need 400/30=13.33 days to finish the book, rounded up to 14 days. Since Saturday is the first day, the 14th day is Thursday, so he will finish the book on Thursday.

In this problem, it was important to use the rate of one page per minute to determine how many pages Kwan will read in one-half hour. Knowing this, we can divide the total number of pages by the number of pages read each day to determine how many days it will take Kwan to finish the book. We then use that number of days to determine when the book will be finished.

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The differentiation of the function is f'(x) = 6x² + 6 - ln(x) + 3eˣ - cos(x)

from the question, we have the following parameters that can be used in our computation:

f(x) = 2x³ + 6x - 1/x + 3eˣ - sin(x)

The derivative of the functions can be calculated using the first principle which states that

if f(x) = axⁿ, then f'(x) = naxⁿ⁻¹

Using the above as a guide, we have the following:

f'(x) = 6x² + 6 - ln(x) + 3eˣ - cos(x)

Hence, the differentiation of the function is f'(x) = 6x² + 6 - ln(x) + 3eˣ - cos(x)

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Answer:

X is 90 y is 43

Step-by-step explanation:

Answer:

455455

Step-by-step explanation:

do diddfdcv

Answer:

y2 - y1 / x2 - x1

Step-by-step explanation:

In the triangle ABC, the side lengths, in order from the greatest to the least, are : AC > AB > BC.

We are given a triangle. The vertices of the triangle are A, B, and C. The measures of the angles ∠A, ∠B, and ∠C are 36°, 84°, and 60°, respectively. We need to arrange the side lengths in order from the greatest to the least.

The side lengths are proportional to their opposing angles in a triangle. It means that the side opposite the largest angle is the largest side, and vice versa. The angles arranged in descending order are : 84° > 60° > 36°. The angles arranged in descending order according to the vertices are : B > C > A. The order of the lengths of the opposite sides must be the same.

Hence, the side lengths, in order from the greatest to the least, are : AC > AB > BC.

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Answer:

false

Step-by-step explanation:

False.

The statement is almost correct, but it is missing one important detail. The median in a frequency distribution is determined by identifying the value that corresponds to a cumulative frequency of 50% (not a cumulative percentage of 50%).

The cumulative frequency is the running total of the frequencies as you move through the classes in the frequency distribution. Once you reach a cumulative frequency of 50%, you have identified the median.

ΔABD ≅ ΔCBD based on the SAS Congruence Postulate.

The SAS Congruence Postulate is a principle in geometry that states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

Since B is the midpoint of AC, therefore AB ≅ CB (one pair of congruent sides).

Based on the reflexive property of congruence, BD ≅ BD (another pair of congruent sides).

Since AC is perpendicular to BD, therefore angles ABD and CBD are right angles, which means <ABD ≅ <CBD (one pair of included congruent angles).

Therefore, based on the SAS congruence postulate, ΔABD ≅ ΔCBD.

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Given that you are in the 88th percentile for GPA, there are 72 students that have a GPA greater than or equal to yours.

Percentile refers to the measure used to indicate the value below which a certain percentage of data lies.

If a data is said to be in the nth percentile, this means that n% of the data in the distribution are equal to or lower than that data.

If you are in the 88th percentile, then 88% of all the 600 students have a GPA equal or lower than yours.

88% of 600 = 0.88(600) = 528

students that have a GPA greater than or equal to yours = 600 - 528

students that have a GPA greater than or equal to yours = 72

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Part 1:  Vince will pay $576 in interest over the course of four years on a $1200 loan with a 12% interest rate.

Part 2:  In total, Vince will pay the bank back $1776 for the loan, which includes the original amount borrowed plus the interest.

In part 1, to calculate the interest Vince will pay, we need to multiply the principal amount (the amount borrowed) by the interest rate and the time period.

In this case, the principal amount is $1200, the interest rate is 12% (or 0.12 as a decimal), and the time period is 4 years. By applying the formula:

Interest = Principal × Rate × Time,

we get Interest = $1200 × 0.12 × 4 = $576.

In part 2, to determine the total amount Vince will pay back to the bank, we add the original loan amount to the interest paid.

Therefore, Total amount = Principal + Interest = $1200 + $576 = $1776.

This is the final amount that Vince will repay over the four-year period.

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Answer:

A. 2.2

Step-by-step explanation:

The average rate of change between 2 x values is the total change of the y values (output values) divided by the change in the x values.Slope is special situation of that.

point 1 (x₁,y₁) → ( 2,7.5)

point 2 (x₂,y₂) → ( 18,42.5)

slope = 42.5 -7.5/18-2 =35 / 16 = 2.1875 ≈ 2.2

Answer:

OH YES DADDY

Step-by-step explanation:

Answer:

A. x=0

B. x=1

Step-by-step explanation:

A.   (2⁶)ˣ = 1

2⁶ˣ = 1

6x = 0

x = 0

B. (5⁰)ˣ =(1)ˣ = 1

x = 1

A) The value of x from the exponential expression is 0

B) The value of x from the exponential expression is 1

A) Given the following exponential expressions:

\((2^6)^x = 1,\)

This can also be written as:

32^x = 1

32^x = 32^0
x = 0

Hence the value of x from the given expression is 0

B) For the exponential function

\((5^0)^x = 1,\)

1^x = 1

x = 1

Hence the value of x from the exponential expression is 1

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To find the critical F value with 6 numerator and 60 denominator degrees of freedom at alpha = 0.05, we need to use an F-distribution table or a calculator that can compute F-distribution probabilities.

The F-distribution table lists values for different combinations of degrees of freedom and alpha levels. For this problem, we are interested in the critical F value at alpha = 0.05, which means we need to find the value in the table that corresponds to an area of 0.05 in the right-tail of the F-distribution curve with 6 and 60 degrees of freedom.

Using a table or calculator, we find that the critical F value with 6 numerator and 60 denominator degrees of freedom at alpha = 0.05 is approximately 2.37. This means that if the calculated F-statistic from a sample falls above 2.37, we would reject the null hypothesis at the 0.05 significance level.

It's important to note that the exact critical F value may vary slightly depending on the specific F-distribution table or calculator used, as well as any rounding or approximation errors in the calculation.

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Answer:

4/5

Step-by-step explanation:

The slope of given linear equation is \(\frac{4}{5}\)

Answer:

Step-by-step explanation:

it is 4/5

Answer:

D [-1,3] and R [5,27]

Step-by-step explanation:

I explained the process of finding the domain and range in your previous questions therefore I will only give you the answer for this one.

D [-1,3] or \(-1\leq x\leq 3\)

R [5,27] or \(5\leq y\leq 27\)