Solve -7(1-4m)=13(2m-3)

Hence, a 93% confidence range for the actual proportional difference between the two populations equation (represented by the two samples) is between -0.086 and 0.142.

A mathematical equation connects two statements with the equals sign (=), which stands for equivalence. The equivalence of two mathematical propositions is established by a mathematical assertion that is utilized in algebraic equations. For instance, the equal sign separates the numbers 3x + 5 and 14 in equation 3x + 5 = 14. Use a mathematical formula to understand the relationship between the two sentences written on opposite sides of a letter. Usually, the program's particular logo matches it. A good example is 2x - 4 = 2.

For the initial example:

Sample proportion: 0.649 (p1 = 24/37)

Standard deviation SE1 is equal to

[tex]\sqrt{(p^1*(1-p^1))} /n1=\sqrt{(0.649*(1-0.649))/37)0.087}[/tex]

Regarding the second example:

P2 = 54/87 0.621 is the sample proportion.

The standard deviation SE2 is equal to

[tex]\sqrt{(p^2*(1-p^2))} /n2=\sqrt{(0.621*(1-0.621))/87)0.72}[/tex]

The crucial value for a 93% confidence interval has to be calculated next. We may use the conventional normal distribution and large sample size to obtain the z-value that represents the center 93% of the distribution:

[tex]1.812z=invNorm(\frac{1+0.93}{2} )[/tex]

We can finally determine the confidence interval:

CI is equal to (p1-p2) z*sqrt(SE12 + SE22)

CI is calculated as (0.649 - 0.621) 1.812*sqrt(0.0872 + 0.0722)

CI = 0.028 ± 0.114

CI = (−0.086, 0.142)

The real proportional difference between the two populations (represented by the two samples) thus lies between -0.086 and 0.142, with a 93% confidence interval.

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Answer: 5

Step-by-step explanation:

area = width x length
15 = w x w-2
15 = 5 x 3
3 is 2 less than 5, and if you multiply them together, you get the area, 15

The surface area of right rectangular prism is equal to 150 square centimeter

The surface area of a right rectangular prism can be found by finding the sum of the area of each of the faces of the prism.

A = 2(lw + hl + hw)

Where, "l" is the length and "h" is the height and "w" is the width

To determine the surface area of right rectangular prism.

Given the paramters as;

length = 4 cm

width = 9 cm

height = 3 cm

Substituting the given values, we get;

A = 2(lw + hl + hw)

A = 2 (36 + 27 + 12)

A = 150

Thus,  surface area of right rectangular prism is 150 square centimeter

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The lines or segments which are secant to a circle are:  

AK, TW, RN & UN

A line that crosses a circle at two different locations is referred to as a "secant of a circle" in geometry. The Latin verb "secare," which meaning "to cut," is where the English term "secant" originates.

More technically, a secant of a circle is a line that crosses it twice, whereas a tangent of a circle is a line that crosses it only once. A circle's diameter is a chord that runs through its center, whereas a chord of a circle is a line segment connecting two locations on the circle.

Given that,

Two circle which contains various tangents, normal & secants

As we know from the definition of secant it intersect the circle at two points,

Line segments AK, TW, RN & UN are intersecting the circle at two points,

so all this segments are secant of the circle.

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If the retailer pays the invoice within 20 days and takes the discount, the net amount due is $11,656.

The sale's "6/20, n/30" clause allows the retailer to choose between paying the invoice in full within 30 days or taking advantage of a 6% discount if they do it within 20 days. If the bill is paid by the 20th day, we can determine the net amount owed as follows:

Then, we multiply the invoice amount by the discount rate to determine the amount of the discount:

Discount: $744 ($12.400 x 0.06)

The amount owed if the discount is taken is then determined by deducting the discount from the invoice amount:

Discounted amount due: $12,400 - $744 = $11,656

The net amount owed is therefore $11,656 assuming the store pays the invoice within 20 days and applies the reduction.

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Answer:

55

Step-by-step explanation:

The ? angle is 55 degrees since every triangle's angles add up to 180 degrees. We have 2 angles, one with 70 and another with 55, so we add them to get 125. Then we subtract 125 from the total angle of a triangle, 180-125, to get 55.

the answer is 55

they have the same degrees hope this helps

Thus, using the matrix technique, the solutions to the simultaneous equations are x = -1 and y = 1.

A rectangular array of numbers or even other mathematical objects that can perform actions like addition and multiplication is known as a matrix. Matrices are widely used to describe systems of equations, transformations, and data in mathematics, physics, engineering, computer science, and many other disciplines. The individual matrix components are frequently identified by their row and column positions, and matrices have a predetermined number of rows and columns. There are numerous actions that can be carried out on matrices, including addition, subtraction, and multiplication by other matrices.

given

We can write the equations in matrix form as follows to answer the simultaneous equations 1x + 4y = 9 and 2x - 3y = 7 using the matrix method:

Then, on the left side of the equation, we can locate the inverse of the coefficient matrix:

| 1 4 |^-1 = 1/(-11) | -3 -4 |

|-2 -1 |

When we multiply both sides of the equation by the coefficient matrix's inverse, we obtain:

| x | | 1 4 |^-1 | 9 |

| x | | -3/11 -4/11 | | 9 |

| y | = | -2/11 -1/11 | x | 7 |

If we simplify, we get:

x = (-3/11)*9 + (-4/11)*7 = -1

y = (-2/11)

*9 + (-1/11)

*7 = 1

Thus, using the matrix technique, the solutions to the simultaneous equations are x = -1 and y = 1.

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Answer: Since Connor gets 69% of the money, Maria gets the remaining 31%:

100% - 69% = 31%

Let's first find out how much money Maria makes:

Maria's share = 31% of $595.54

Maria's share = 0.31 x $595.54

Maria's share = $184.61

Now, to find out how much Connor makes, we can subtract Maria's share from the total:

Connor's share = Total - Maria's share

Connor's share = $595.54 - $184.61

Connor's share = $410.93

Therefore, Connor makes about $410.93 (rounded to the nearest dollar).

Step-by-step explanation:

Answer:

14.4

Step-by-step explanation:

=24 * 60/100
=14.4

Answer:

14.4

Step-by-step explanation:

[tex]\frac{24}{10} = 10[/tex]% of 24

6[tex]\frac{24}{10} = 60[/tex]% of 24

The correct answer is (C) OL'(-1, 2) - This point is on the reflected line y=-2, but its y-coordinate is not consistent with the reflection of L. The correct y-coordinate is -4.

What is line?

A one-dimensional geometric figure that consists of infinitely many points arranged in a straight path or direction.

In this case, we are reflecting across the line y = -2, which is two units below the x-axis. Therefore, the y-coordinate of each point in the preimage will be changed by 2 units after reflection.

The coordinates of L are (-1, -6), and after reflecting across y = -2, the y-coordinate will become

-6 + 2 = -4

Therefore, the image of L, L', will have coordinates (-1, -4).

Looking at the given options:

A. L'(-3, 6) - This point is not on the reflected line y=-2, so it cannot be the reflection of L.

B. OL'(-1,6) - This point is above the reflected line y=-2, so it cannot be the reflection of L.

C. OL'(-1, 2) - This point is on the reflected line y=-2, but its y-coordinate is not consistent with the reflection of L. The correct y-coordinate is -4.

D. OL(1, 2) - This point is not on the reflected line y=-2, so it cannot be the reflection of L.

Therefore, the correct answer is option C: L'(-1, -4).

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Answer:

circumference  = 8 inches

Step-by-step explanation:

75% = 75/100 = 3/4

Let C be the circumference

3/4 C = 6

Multiply both sides by 4/3

C =

Answer:

x = 13

Step-by-step explanation:

Let's simplify and solve for x:

4(x+56.5) = 30x - 112

First, we distribute the 4:

4x + 4(56.5) = 30x - 112

Simplifying the expression:

4x + 226 = 30x - 112

Now we move all the x terms to one side and all the constants to the other:

226 + 112 = 30x - 4x

338 = 26x

Finally, we solve for x by dividing both sides by 26:

x = 13

Therefore, the solution to the equation 4(x+56.5)=30x-112 is x = 13.

Answer:

x=9.94

Step-by-step explanation:

4x + 226 = 30x - 112
226+112 = 34x
338 = 34x
338/34=x
9.94=x

Answer:

Yes, it will fit.

Step-by-step explanation:

To determine whether 375 cubic inches of sand will fit into the given rectangular prism, we need to calculate the volume of the prism and compare it to the amount of sand.

The formula for the volume of a rectangular prism is:

Volume = Base x Height x Width

In this case, the base of the prism is 5 by 7 inches, so the area of the base is:

Area of Base = 5 inches x 7 inches = 35 square inches

The height of the prism is 9 inches. Therefore, the volume of the prism is:

Volume = Base x Height = 35 square inches x 9 inches = 315 cubic inches

So, the volume of the prism is 315 cubic inches, which is less than the amount of sand Jack has (375 cubic inches). Therefore, all of the sand will fit inside the rectangular prism with room to spare.

In summary, the sand will fit inside the rectangular prism because the volume of the prism is greater than the amount of sand Jack has.

The coordinates of the points on the number line are given as follows:

Point C is exactly halfway between 0 and 1, hence it's coordinate is given as follows:

C = 0.5.

C is also the third dot between 0 and 0.5, hence the amount represented by each space is given as follows:

0.5/3 = 1/6.

Point B is one space to the left of 0, hence it's coordinate is given as follows:

B = -1/6.

Point A is three spaces to the left of point B, hence it's coordinate is given as follows:

A = -1/6 - 3 x 1/6 = -4/6 = -2/3.

Point D is two spaces to the right of 1, hence:

D = 1 + 2x 1/6 = 1 + 1/3 = 4/3.

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Answer:

[tex]416 \;in^2[/tex]

Step-by-step explanation:

The surface area of the rectangular prism

[tex]S = 2(lw + lh + wh)[/tex]

where

l = length = 12 in

w = width = 10 in

h = height = 4 in

Therefore

[tex]S = 2(12\cdot 10 \;+ \; 12\cdot 4 \;+\;10 \cdot 4)\\\\= 2(120 + 48 + 40)\\\\= 2 (208)\\\\= 416 \: in^2[/tex]

The equation of the line of best fit is ŷ = 0.8x + 3.3

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

X- 14 16 29 42 43 44 47 48

Y- 11 17 31 35 37 37 38 43

When these values are entered in a graphing calculator, we have the following summary:

For the regression equation, we have

ŷ = bX + a

Where

b = SP/SSX = 1055.63/1343.88 = 0.78551

a = MY - bMX = 31.13 - (0.79*35.38) = 3.33764

So, we have

ŷ = 0.78551x + 3.33764

Approximate

ŷ = 0.8x + 3.3

Hence, the equation is ŷ = 0.8x + 3.3

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The solution is, in PRYZ square, the value of m∠YKZ = 90.

A square is a regular quadrilateral, which means that it has four equal sides and four equal angles. It can also be defined as a rectangle with two equal-length adjacent sides.

here, we have,

Remember that

In a Square

All sides are equal

Diagonals bisect each other perpendicularly

so

Find out KY

In the right triangle RYK

Applying the Pythagorean Theorem

RY^2=RK^2+KY^2

substitute given values

13^2=5^2+KY^2

KY^2=13^2-5^2

KY^2=144

KY=12

Find out PK

Remember that

Diagonals bisect each other perpendicularly

that means

PK=KY=12

Remember that

Diagonals bisect each other perpendicularly

so, that means

m∠YKZ = 90

Hence, The solution is, in PRYZ square, the value of m∠YKZ = 90.

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Answer:-(-1,026/3

Step-by-step explanation:

Answer:

the answer is 28
4+62 = 66
66x2 = 132
132-20 = 112
112 divided by 4 = 28

hope this helps <3

Answer:

28

Step-by-step explanation:

i hope this helps

1. The fencing and grass for this playground cost $16,360.

2. Springfield's playground can hold approximately 800 kids at a density of 25 square feet per child.

3. We can recommend a rectangular playground measuring approximately 166 yards by 40 yards, with a total area of 6,666.67 square yards. This playground should cost $49,200 for the fencing and grass.

1. To calculate the cost of the fencing and grass, we first need to know the dimensions of the playground. Let's assume that the playground is a rectangular shape measuring 100 feet by 200 feet, for a total area of 20,000 square feet.

To determine the cost of the fence, we need to know how many rolls of fencing are required. Each roll is 50 feet long, so we need four rolls to fence the perimeter of the playground (100 + 100 + 200 + 200 = 600 feet / 50 = 12 rolls, but we can't buy half a roll, so we round up to four rolls). Therefore, the cost of the fence is:

4 rolls x $90/roll = $360

To determine the cost of the grass, we need to know how many square feet of grass we need to cover the playground. Since each roll of grass covers 500 square feet, we need:

20,000 sq ft / 500 sq ft per roll = 40 rolls of grass

Therefore, the cost of the grass is:

40 rolls x $400/roll = $16,000

Adding the cost of the fence and the grass, we get the total cost:

$360 + $16,000 = $16,360

So the fencing and grass for this playground cost $16,360.

2. To calculate how many kids per square yard the playground can hold, we need to know the area of the playground in square yards. There are 9 square feet in a square yard, so the playground measures:

20,000 sq ft / 9 sq ft per sq yd = 2,222.22 sq yds

Assuming that each child requires 25 square feet of space to play, we can calculate how many kids can fit on the playground:

2,222.22 sq yds x (9 sq ft per sq yd / 25 sq ft per child) = 800 kids

Therefore, Springfield's playground can hold approximately 800 kids at a density of 25 square feet per child.

3. To recommend a playground shape and size that would fit Wintermeadow's budget and hold at least 3 times as many kids as Springfield's playground at the same density of kids per square yard, we first need to know Wintermeadow's budget.

Let's assume that Springfield's budget is $50,000, so Wintermeadow's budget is $150,000.

To determine the size of the new playground, we can start by calculating the cost of the fencing and grass for Springfield's playground per square yard:

$16,360 / 2,222.22 sq yds = $7.38 per sq yd

We can then use this cost to estimate the size of the new playground. Let's assume that the new playground will also be rectangular, and that we want it to hold at least 3 times as many kids as Springfield's playground, or 2,400 kids. Using the same density of 25 square feet per child, we need:

2,400 kids x 25 sq ft per child = 60,000 sq ft

Since there are 9 square feet in a square yard, this is:

60,000 sq ft / 9 sq ft per sq yd = 6,666.67 sq yds

Multiplying this area by the cost per square yard, we get the cost of the fencing and grass for the new playground:

6,666.67 sq yds x $7.38 per sq yd = $49,200

Therefore, we can recommend a rectangular playground measuring approximately 166 yards by 40 yards, with a total area of 6,666.67 square yards. This playground should cost $49,200 for the fencing and grass.

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Answer:

Slope is [tex]\frac{7}{-9}[/tex]

Step-by-step explanation:

For this problem we must use the slope formula:

[tex]\frac{change* in *y}{change*in*x}[/tex]

Our 2 y coords are: 3, -4

To find the change in y, we must subtract.

3 - ( -4 ) = 7

Our 2 x coords are: -2, 7

-2 - 7 = -9

Therfore, our answer is

[tex]\frac{7}{-9}[/tex]

About 420 visitors might go to the food pantry on an extremely cold day

What is the percentage?

Percentage refers to a way of expressing a number as a fraction of 100. It is often denoted by the symbol "%". For example, if 30 out of 100 students in a class are girls, the percentage of girls in the class is 30%. Percentages are commonly used in many fields, such as finance, statistics, and science, to express proportions, rates, and changes over time.

The problem states that on average, about 240 people visit the food pantry every day in search of groceries. To find out how many visitors might go to the food pantry on an extremely cold day, we need to use the given percentage increase.

The phrase "175% of the average amount" means that we need to find 175% of 240, which is the same as multiplying 240 by 1.75 (since 175% is the same as 1.75 as a decimal). Using the multiplication, we get:

175% of 240 = (175/100) * 240 = 420

So, on an extremely cold day, the number of visitors to the food pantry might be around 420.

Therefore, about 420 visitors might go to the food pantry on an extremely cold day.

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Answer:

Below

Step-by-step explanation:

1  8/10  = 18/10

18 / 10   pound  *  $ 4.10 / pound  =  (18 * 4.1) / 10 =  73.8 /10 = $ 7.38

( see how the unit 'pound' cancels out and you are left with  $  ???)

The right response is B. It is the graph of f(x) scaled down by 11 units.

For any given value of x, the output of f(x) is subtracted by 11 to get the function g(x) = f(x) - 11.

The result is the same as the input for the function f(x) = x. Thus, if we take 11 out of the result, we get:

g(x) = f(x) - 11 = x - 11

In other words, the graph of g(x) is the graph of f(x), 11 units lower.

Thus, assertion B is the correct one. It is the graph of f(x) scaled down by 11 units.

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The percentage of votes received by the last or fourth candidate in the example election is about 6.4%

A percentage is a representation of a fraction of an b expressed using a denominator of 100.

A percentage is a representation of a part of whole as a fraction of 100

Therefore, the percentage of votes that a last place candidate in an election receives is the number of  votes that the last candidate receives  represented as a fraction of the total number of votes with the denominator of the fraction being 100.

An example of an election result is an election result in which the  votes received by the four leading candidates can be presented as follows;

Party A = 8,794,726

Party B = 6,984,520

Party C = 6,101,533

Part D = 1,496,687

The percentage of votes received by the Party D is therefore;

The candidate of votes received by the fourth candidate, that received the least number of votes is 6.4%

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Answer: b + p ≤ 7

Step-by-step explanation:

Let's use b to represent the number of bags of popcorn purchased and p to represent the number of bags of pretzels purchased.

Since Cai can buy a maximum of 7 bags of popcorn and pretzels altogether, we know that:

b + p ≤ 7

This is the inequality that represents the possible values for the number of bags of popcorn purchased (b) and the number of bags of pretzels purchased (p).

The equation of the line crossing (3, 1 / 2)(5, 5) is y = 9 / 4 x  - 25 / 4.

The equation of a line can be represented in slope intercept form as follows:

y = mx + b

where

Hence, let's find the equation of the line crossing (3, 1 / 2)(5, 5).

m = 5 - 1 / 2 / 5 - 3

m = 9 / 2 × 1 / 2

m = 9  / 4

Hence, let's find the y-intercept using (5, 5)

y = 9 / 4 x + b

5 = 9 / 4(5) + b

5 - 45 / 4 = b

b =  20 - 45/ 4

b = - 25 / 4

Therefore, the equation of the line is y = 9 / 4 x  - 25 / 4.

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The cost of framing for the masterpiece is $46.73.

To calculate the cost, we need to first determine the perimeter of the artwork.

Given the dimensions of the artwork, the perimeter is 100 + 100 + 70 + 70 = 340 inches.

The cost of framing is $4.95 per yard, so we need to convert the perimeter to yards.

To do this, we divide the perimeter by 36 inches since 1 yard equals 36 inches.

Thus, 340 inches divided by 36 inches equals 9.44 yards.

Therefore, the cost of framing the artwork will be 9.44 yards multiplied by $4.95 per yard, which equals $46.73.

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Answer:

[tex]\frac{49}{45}[/tex] OR [tex]1\frac{4}{45}[/tex]

Step-by-step explanation:

The proportional relationship between distance traveled and liters spent is given as follows:

y = 0.08x.

A proportional relationship is defined by a linear model with intercept of zero as follows:

y = kx.

In which k is the constant of proportionality.

Mr. Flynn found that his car can drive 12,5km for every litre of petrol it consumes, hence the constant is given as follows:

k = 1/12.5

k = 0.08.

Then the equation is given as follows:

y = 0.08x.

In which:

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