7. Based on a survey, 62% of voters in a district intend to vote for Candidate A.
If the margin of error is 6.6%, what is the maximum estimated percentage of
voters that intend to vote for Candidate A?

Answer:

\(-5<x<10\)

Step-by-step explanation:

\(-6<x-1<9\)

If \(a<u<b\:\) than \(a<u\) and \(u<b\)

\(-6<x-1\)

⇒ Switch sides:-

\(x-1>-6\)

⇒ Add 1 to both sides:-

\(x-1+1>-6+1\)

\(x>-5\)

And...

\(\:x-1<9\)

⇒ Add 1 to both sides:-

\(x-1+1<9+1\)

\(x<10\)

⇒ Now, Combine the intervals:-

\(-5<x<10\)

OAmalOHopeO

Answer:

13 since the second power (-3) is doubled.

Answer:

Step-by-step explanation:

A

Answer: 16

Step-by-step explanation:

Range is the largest number in the set minus the smalllest number in the set pf numbers or data.

9-(-7)

9+7

16

Answer:

  {-7, -1, 0, 9}

Step-by-step explanation:

The range of a function is the set of second values of the ordered pairs of the function.

  range = {-7, -1, 0, 9}

_____

It is often convenient, but not essential, to list the elements of a set in order.

Answer:

B and H.

Step-by-step explanation:

By the triangle inequality, any two sides of a triangle must be greater than the remaining side.

Triangle 1)

The side lengths are 9, 40, and 41.

We only need to check the two smaller sides. 9 + 40 = 49 which is indeed greater than 41. Therefore, this is indeed a triangle.

Remember that if:

\(c^2=a^2+b^2\)

We have a right triangle.

\(c^2>a^2+b^2\)

We have an obtuse triangle.

And if:

\(c^2<a^2+b^2\)

We have an acute triangle.

In all of these, c is the longest side.

Therefore, we will substitute 41 for c and 9 and 40 for the others:

\(41^2\text{ }?\text{ }40^2+9^2\)

Evaluate:

\(1681=1681\)

Since the two values are equivalent, the first triangle is a right triangle.

Triangle 2)

Again, adding up the two smaller sides gives that 8 + 10 = 18.

However, 18 is less than 21, so it does not satisfy the triangle inequality.

Therefore, the given side lengths cannot form a triangle.

Answer:

25 families living near the school

Step-by-step explanation:

Answer:

25 families living near the school :D

Step-by-step explanation:

The values In wxyz are mathematically given as

W=4

y=5

X=0

Let the equation for the number be: wxyz.

Generally, the equation for is  mathematically given as

z+y=7 ......1

y=2+3 .......2

solving further

z+3+z-7

2z 7-3

z=2

Putting the value of z Within the second equation:

y=z+3 y=2+3

y=5

1. The digit in the thousands place of my number is 4, and

2. The digit in the hundreds place is four fewer than the digit in the thousands place.

W=4

X=w-4

x=4-4

X=0

In conclusion, the values In wxyz are

W=4

y=5

X=0

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Answer:

R > 7

Step-by-step explanation:

R+6> 13   (subtract 6 from both sides)

R > 13 - 6

R > 7

length of Jim's backyard , L = 15 5/6 = 95/6 yards

width of Jim's backyard , B = 10 2/5 = 52/5 yards

so, area of rectangular backyard = L × B

= 95/6 × 52/5

= (95 × 52)/30

= 494/3 yard²

now, Jim buys sod of length 1 1/3 = 4/3 yards and width = 1 1/3 yards = 4/3 yards .

so, area of rectangular sod = length × width

= 4/3 × 4/3 = 16/9 yard²

number of sod = area of backyard/area of sod

= (494/3)/(16/9)

= 494 × 3/16

= 92.625 ≈ 93

93 pieces of sod will Jim need to buy to cover his backyard.

A. The maximum value represent the following: B. the point where the most profit is made.

B. The x-intercepts represent the following: B. the price per pen where no profit is made.

C. An approximate average rate of change of the graph from x=3 to x = 6 is -60.

D. The domain of this graph given the situation is 0 ≤ x ≤ 6 because there is no profit beyond those points.

The maximum value of a function is a point on the graph where the function reaches its highest point. By critically observing the graph, we can logically deduce that the maximum value is (3, 120) and it represents the point where the most profit is made by this company.

Part B.

The x-intercepts are (0, 0) and (6, 0) and it represents the price per pen where the company earns no profit.

Part C.

Next, we would determine the average rate of change of the function g(t) over the interval [3, 6] by using this formula:

Average rate of change = [f(b) - f(a)]/(b - a)

a = 3; f(a) = 120

b = 6; f(b) = 0

By substituting the given parameters into the average rate of change formula, we have the following;

Average rate of change = (0 - 120)/(6 - 3)

Average rate of change = -120/3

Average rate of change = -60

Therefore, the average rate of change from x = 3 to x = 6 represent a loss of $60 per unit sale.

Part D.

In conclusion, the constraints of the domain is 0 ≤ x ≤ 6 or [0, 6] because there is no profit that can be earned by this company beyond those points.

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Given statement solution is :-You should mix 20 milligrams of Medication A this week when using 26 milligrams of Medication B.

To determine how many milligrams of Medication A should be mixed this week, we need to maintain the same proportion as last week.

Last week's proportion:

Medication A : Medication B = 100 mg : 130 mg

To find out the amount of Medication A for this week's prescription, we can set up a proportion using the known ratio:

Medication A / Medication B = Last week's Medication A / Last week's Medication B

Let's plug in the values:

Medication A / 26 mg = 100 mg / 130 mg

To solve for Medication A, we can cross-multiply and then divide:

Medication A * 130 mg = 100 mg * 26 mg

Medication A * 130 mg = 2600 mg*mg

Medication A = 2600 mg*mg / 130 mg

Medication A = 20 mg

Therefore, you should mix 20 milligrams of Medication A this week when using 26 milligrams of Medication B.

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Answer:A quart contains 4 cups or 2 pints while a gallon contains 16 cups or 8 pints. Hence, a liquid gallon is equal to 4 liquid quarts.

Step-by-step    please give me brainiest and have a nice day :)

Answer:

5.96 when rounded to the nearest hundredth

Step-by-step explanation:

The parameters for the linear function in this problem are given as follows:

1. C is the total cost.

2. g is the number of guests.

3. Each guest costs $55.

4. The cost to rent the venue is of $650.

5. 80 guests cost $5,050.

6. 105 guests cost $6,425.

The slope-intercept representation of a linear function is given by the equation presented as follows:

y = mx + b

The coefficients of the function and their meaning are described as follows:

The function for this problem is given as follows:

C = 55g + 650.

Hence:

The costs are given as follows:

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The joint relative frequency for school children who plan to attend camp and have swimming lesson is 44%.

The correct option to the given question is option d.

We are required to find the joint relative frequency for school children who plan to attend camp and have swimming lessons, rounded to the nearest percent.

To find the joint relative frequency, we use the formula as follows:

Joint relative frequency = frequency of interest / total frequency

Joint relative frequency for school children who plan to attend camp and have swimming lessons = 42 / 96

(As we are looking for the students who plan to attend camp and have swimming lessons, we are interested in the first column of the table and the entry at the intersection of the first row and second column.)

Joint relative frequency for school children who plan to attend camp and have swimming lessons = 0.4375

Joint relative frequency for school children who plan to attend camp and have swimming lessons (rounded to the nearest percent) = 44%(option d).

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Answer:

48 square inches

plz mark brainliest

Step-by-step explanation:

l= 3w

perimeter = 2(l+w) =2(3w+w) = 2(4w)= 8w

32=8w

w=32/8 =4 inches

l= 3(4) =12 inches

area = l×w = 12×4 = 48 square inches

Answer: See below

Step-by-step explanation:

Radius of the semicircle = 46/2 = 23 m

\(\therefore$ Area enclosed by the figure $=4 \times$ Area of semicircles + Area of square \begin{aligned} \\&=4 \times 3.14 \times(23)^{2} \times \frac{1}{2}+(46)^{2} \\&=3322.12+2116 \end{aligned} \\\\\\Area enclosed $=5438.12 \mathrm{~m}^{2}$\)

So, Val might have have subtracted 2116 from 3322.12 instead of adding since 3322.12 - 2116 = 1206.12

Answer:

See below

Step-by-step explanation:

\(\displaystyle \frac{\sec x\sin x}{\tan x+\cot x}\\\\=\frac{\frac{1}{\cos x} \sin x}{\frac{\sin x}{\cos x} + \frac{\cos x}{\sin x}}\\ \\=\frac{\frac{\sin x}{\cos x} }{\frac{\sin x \sin x}{\cos x \sin x} + \frac{\cos x \cos x}{\cos x \sin x}}\\\\=\frac{\frac{\sin x}{\cos x} }{\frac{\sin^2 x}{\cos x \sin x} + \frac{\cos^2 x}{\cos x \sin x}}\\\\=\frac{\frac{\sin x}{\cos x}}{\frac{\sin^2 x+\cos^2 x}{\cos x \sin x} }\\ \\=\frac{\frac{\sin x}{\cos x} }{\frac{1}{\cos x \sin x} }\)

\(=\frac{\sin x}{\cos x}\cdot \sin x \cos x\\ \\=\frac{\sin x \sin x \cos x}{\cos x}\\ \\=\sin^2x\)

Thus, the identity is proven. Match the options up accordingly to my step-by-step process.

The domain and range of the graph above in interval notation include the following:

Domain = [-6, 3]

Range = [-3, 3]

In Mathematics and Geometry, a domain refers to the set of all real numbers (x-values) for which a particular function (equation) is defined.

In Mathematics and Geometry, the horizontal portion of any graph is used to represent all domain values and they are both read and written from smaller to larger numerical values, which simply means from the left of any graph to the right.

By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:

Domain = [-6, 3] or -6 ≤ x < 3.

Range = [-3, 3] or -3 < y < 3

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The volume of cone is 175 m³

Firstly,

Volume of Pyramid.

The volume (V) of a pyramid is  

V = ⅓Ah

Data:

V = 175m³

Calculation:

175 = ⅓× A× h

Ah = 175*3

Ah = 525m³

Secondly,

The volume (V) of a cone is

V = ⅓Ah

Data:

Ah = 525 m³

Calculation:

V = ⅓ A× h

V = 175 m³

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(a) The  square of 4 = 16

(b) The  square of 6 = 36

(b) The  square of 13 = 139

(b) The  square of 10 = 100

We know that,

Square of a number is nothing but product of a number with itself.

And it gives power  2.

(a) Now the given number is 4:

The  square of 4 = 4²

                            = 4x4

                            = 16

(b) The given number is 6:

The  square of 6 = 6²

                            = 6x6

                            = 36

(c) The given number is 13:

The  square of 13 = 13²

                            = 13x13

                            = 139

(d) The given number is 10:

The  square of 10 = 10²

                            = 10x10

                            = 100

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Answer:

I need degrees and numbers to figure out the answers

The intersection points are (6, 6) and (-6, -6).

What is Intersection points?

The point at which two lines or curves intersect is referred to as the point of intersection. The point at which two curves intersect is crucial because it is the point at which the two curves take on the same value.

The given curves are the polar equations of two circles with radii 6. To find their intersection points, we can set the two equations equal to each other and solve for Ф.

6 sin(Ф) = 6 cos(Ф)

Dividing both sides by 6 and rearranging terms, we get:

tan(Ф) = 1

This equation has infinitely many solutions, but we are only interested in those that lie in the interval [0, π/2].

Ф = π/4 satisfies this condition and corresponds to the point (6, 6) in Cartesian coordinates.

Since the two curves are circles, they are symmetrical about the origin. Therefore, we can deduce that the other intersection point is (-6, -6).

Therefore, the intersection points are (6, 6) and (-6, -6).

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Answer:

Hope I helped!~

Step-by-step explanation:

A. This number belongs to the subset of rational numbers.

B. This number belongs to the subset of integers.

C. This number belongs to the subset of whole numbers.

D. This number belongs to the subset of irrational numbers.

The limit of each function at the given point i n the question 10 to 14, is explained below.

A function may get close to two distinct limits. There are two scenarios: one in which the variable approaches its limit by values larger than the limit, and the other by values smaller than the limit. Although the right- and left-hand limits are present in this scenario, the limit is not defined.

When a variable approaches its limit from the right, the function's right-hand limit is the value that approaches.a

10). The limit of f(z) = Arg z as z approaches Zo = 1 does not exist. This is because the argument function is not continuous at the point z = 1, where there is a branch cut.

11). The limit of f(z) = \((1 - lm z)^{-1}\) as z approaches z0 = -8 does not exist. This is because the function approaches infinity as z approaches -8 from the left, and negative infinity as z approaches -8 from the right.

However, if we consider the limit of f(z) as z approaches z0 = -8 + i from both the left and the right, the limit exists and is equal to 0. This is because in the complex plane, the value of Im z cannot exceed 1, so as z approaches -8 + i, the denominator (1 - Im z) approaches 0, and the function approaches infinity. However, the numerator approaches a finite value of 1, which cancels out the denominator, and the overall limit is equal to 0.

12). The limit of f(z) = (z - 2) log(z - 2) as z approaches z0 = 2 is 0. This is because the term (z - 2) approaches 0 as z approaches 2, and log(z - 2) approaches 0 as well because log(z - 2) is continuous at z = 2. Therefore, the limit is equal to 0.

13). The limit of f(z) = -1/z as z approaches z0 = 0 does not exist. This is because as z approaches 0, the magnitude of 1/z approaches infinity, but the direction of approach depends on which quadrant the limit is approached from. Since the limit does not approach a unique value from all directions, the limit does not exist.

14). The limit of f(z) = 2 + \(2^{1/z}\) as z approaches infinity does not exist. This is because as z approaches infinity, the term  \(2^{1/z}\) approaches 1, and the limit approaches 2 + 1 = 3. However, if we approach infinity along the real axis, the limit of \(2^{1/z}\) approaches 1, but if we approach infinity along the imaginary axis, the limit of \(2^{1/z}\) approaches infinity. Therefore, the limit of f(z) does not exist.

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The domain and the range of the function are

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

The graph

The graph is a piecewise function

When combined gives an absolute function

The rule of a function is that

The domain is the set of all real numbers

This means that the input value can take all real values

However, the range is greater than the constant term

In this case, it is 0

So, the range is y > 0

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Question

The graph represents the piecewise function:

f(x) =

What is the domain and range of the function

to get the slope of any straight line, we simply need two points off of it.

so from what I can tell in the graph, check the picture below, the line goes above the 4 about 3/4 pretty much, or namely 0.75 above the 4, that'd make it 4.75, the graph also goes below the -3, about 1/4  below, namely 0.25 that'd make it -3.25, because two grid lines make up a whole number, so let's use those two points to get its slope.

\((\stackrel{x_1}{-2}~,~\stackrel{y_1}{-3.25})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{4.75}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{4.75}-\stackrel{y1}{(-3.25)}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{(-2)}}} \implies \cfrac{4.75 +3.75}{2 +2}\implies \cfrac{8}{4}\implies \text{\LARGE 2}\)

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

Temp. 174 176 177 178 178 179 180 181

Ratio 0.86 1.31 1.42 1.01 1.15 1.02 1.00 1.74

Temp. 184 184 184 184 184 185 185 186

Ratio 1.43 1.70 1.57 2.13 2.25 0.76 1.37 0.94

Temp. 186 186 186 188 188 189 190 192

Ratio 1.85 2.02 2.64 1.53 2.48 2.90 1.79 3.16

A)

Using the online linear regression calculator, the lie of best fit which models the data above is :

ŷ = 0.09386X - 15.55523

Where ;

X = independent variable

ŷ = predicted or dependent variable

- 15.55523 = intercept

0.09386 = gradient / slope

B)

Point estimate when tank temperature is 186

ŷ = 0.09386(186) - 15.55523

ŷ = 17.45796 - 15.55523

ŷ = 1.90273

C)

Residual error (y - ŷ), ŷ = 1.90273 when x = 186

(0.94 - 1.90273) = −0.96273

(1.85 - 1.90273) = −0.05273

(2.02 - 1.90273) = 0.11727

(2.64 - 1.90273) = 0.73727

D)

To determine the proportion of observed variation in efficiency ratio, we find the Coefficient of determination R^2, which can be found using the online Coefficient of determination calculator : the r^2 value obtained is 0.4433.