blems.
You bike for 3 hours to reach the beach. Using the same route, the return trip takes only.
2.5 hours because you travel 2miles per hour faster How far do you bike to get to the
beach?

The margin of error is 9.8. The answer is (B).

Margin of error (ME) is the amount of random sampling error that is expected in a survey's results. It is the range of values above and below the sample statistic (such as the sample mean or proportion) within which the true population parameter (such as the population mean or proportion) is expected to lie with a certain degree of confidence.

The margin of error (ME) for a 95% confidence interval is given by:

ME = z*(σ/√n)

where z is the z-score for the desired level of confidence (in this case, 95%), σ is the population standard deviation, and n is the sample size.

We are given that σ = 50, n = 100, and the sample mean is 600. To find the z-score, we can use a standard normal distribution table or calculator. For a 95% confidence interval, the z-score is approximately 1.96.

Substituting the values into the formula, we get:

ME = 1.96*(50/√100) = 9.8

Therefore, the margin of error is 9.8. The answer is (B).

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That slope appears to be 4/6 or 2/3.

The perpendicular slope will have the opposite sign and be the reciprocal.

The perpedicular slope is –3/2.

Using the the Distributive Property to express 64 + 24 is 88.

This property states that multiplying the sum of two or more addends by a number produces the same result as multiplying each addend separately by the number and then adding the products together.

When you multiply a value by a sum, the distributive property of multiplication over addition is used. For instance, suppose you want to multiply 5 by the sum of 10 + 3. When we have similar terms, we usually add the numbers first and then multiply by 5. 5(10 + 3) = 5(13) = 65.

In this case, 64 + 24 will be;

= 8(8 + 3)

= 88

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Answer:

\(f'(x)= \frac{13}{(2x+3)^2}\\\)

Step-by-step explanation:

\(f(x)= \frac{3x-2}{2x+3} \\\)

\(f'(x)=\frac{dy}{dx} = \frac{d}{dx}(\frac{3x-2}{2x+3})\\ f'(x)= \frac{(2x+3)\frac{d}{dx}(3x-2)-(3x-2)\frac{d}{dx}(2x+3) }{(2x+3)^{2} } \\f'(x)= \frac{(2x+3)(3)-(3x-2)(2)}{(2x+3)^{2} } \\\)

\(f'(x)= \frac{6x+9-6x+4}{(2x+3)^{2} }\\ f'(x)= \frac{13}{(2x+3)^2}\\\)

Answer:

The value of SU is 36

Step-by-step explanation:

So,

ST/SE = SU/SF

Here,

Let us take SU as x

Now,

ST/SE = SU/SF

39/13 = x/12

3 = x/12

Multiply 12 from both sides we get,

3 × 12 = x/12 × 12

36 = x

x = SU = 36

Thus, The value of SU is 36

ST/SE = SU/SF

39/13 = 36/12 = 3

a) The length of BC is approximately 7.8 cm.

b) The length of CE is approximately 4.8 cm.

Given the following information:

AB is parallel to DE.

ACE and BCD are straight lines.

AB = 9 cm

AC = 7.2 cm

CD = 5.2 cm

DE = 6 cm

(a) To calculate the length of BC, we can use the fact that AB is parallel to DE. This means that triangle ABC and triangle CDE are similar triangles. Therefore, we can set up the following proportion:

AB/BC = DE/CD

Substituting the given values:

9 cm / BC = 6 cm / 5.2 cm

Cross-multiplying:

(9 cm) * (5.2 cm) = (6 cm) * BC

Simplifying:

46.8 cm = 6 cm * BC

Dividing both sides by 6 cm:

BC = 46.8 cm / 6 cm

BC ≈ 7.8 cm

Therefore, the length of BC is approximately 7.8 cm.

(b) To calculate the length of CE, we can use the fact that ACE and BCD are straight lines. This means that triangle ACE and triangle BCD are similar triangles. Therefore, we can set up the following proportion:

AC/CE = BC/CD

Substituting the given values:

7.2 cm / CE = 7.8 cm / 5.2 cm

Cross-multiplying:

(7.2 cm) * (5.2 cm) = (7.8 cm) * CE

Simplifying:

37.44 cm² = 7.8 cm * CE

Dividing both sides by 7.8 cm:

CE = 37.44 cm² / 7.8 cm

CE ≈ 4.8 cm

Therefore, the length of CE is approximately 4.8 cm.

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Answer:

13

Step-by-step explanation:

9+6-3+7-2=17

10+4-2+5-6=11

7+-4+9-5=13

Answer:

d i think help someone confirm it

Step-by-step explanation:

Dilation and rotation will not produce a congruent triangle

What is rotation ?

The rotation of a point with regard to the origin is described by the rotation formula. To get the position of the point after rotation, apply the rotation formula. Rotation is a circular movement about the specific axis or point of rotation. In general, there are two common directions for rotation: clockwise and anti-clockwise or counter-clockwise.

Rotations, reflections and translations are known as rigid transformations; this means they do not change the size or shape of a figure, they simply move it. These rigid transformations preserve congruence.

Dilation, however, are not rigid transformations, since they change the size of a shape. Dilation would not change the shape, just the size; the angle measures would be the same, and the ratio of corresponding sides would be equal to the scale factor used in the dilation. This would give us a similar, but not congruent, figure.

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A rectangular prism with a volume of 444 cubic units is filled with cubes with side lengths of 1/3 unit.

To find the number of 1/3 unit cubes required to fill the prism, we need to follow the below steps:

Step 1: Find the dimensions of the rectangular prism

The volume of the rectangular prism is given by the formula:

V = l × b × h

Here,

V = 444 cubic units

We know that the side length of the cube is 1/3 unit.

Therefore, the dimensions of the prism can be expressed as:

L = a × 1/3

B = b × 1/3

H = c × 1/3

Where, a, b, and c are integers representing the number of cubes required to fill each side of the rectangular prism.

Step 2: Substitute the values in the formula

V = l × b × h

444 = a/3 × b/3 × c/3

444 = abc/27

abc = 444 × 27

abc = 11988

Step 3: Find the number of cubes required

The total number of cubes required to fill the rectangular prism is given by:

abc = 11988

Therefore, it takes 11988 cubes with side lengths of 1/3 unit to fill the prism.

The rectangular prism with a volume of 444 cubic units can be filled with 11988 cubes with side lengths of 1/3 unit.

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The relationship between a statistic and a parameter is the same as the relationship between , Option(A) a sample and a population

The Population is defied as an entire group of individuals that we are interested in studying, while a sample is a subset of that population that we actually observe and collect data from.

A Parameter is defined as a numerical characteristic of a population, such as its mean or variance, whereas a statistic is a numerical characteristic of a sample, such as its sample mean or sample standard deviation.

The relationship between a sample and a population is similar to the relationship between a statistic and a parameter because a sample is used to estimate  information about the population, and a statistic is used to estimate  information about a parameter.

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To determine the minimum diameter of the rod, we can use the formula for bending stress:

σ = (M * c) / (I * y)

Where:

σ is the bending stress

M is the bending moment

c is the distance from the neutral axis to the outermost fiber

I is the moment of inertia of the cross-section

y is the perpendicular distance from the neutral axis to the point where the stress is being calculated

Given:

M = -1000 lbf.in

σ = 32 kpsi = 32,000 psi

Strength = 25 kpsi

Design factor = 2.5

First, we need to convert the bending moment to pound-force feet (lbf.ft):

M = -1000 lbf.in = -83.33 lbf.ft (1 lbf.in = 0.0833 lbf.ft)

Next, we can rearrange the bending stress formula to solve for the moment of inertia (I):

I = (M * c) / (σ * y)

Since we are looking for the minimum diameter, we want to minimize the moment of inertia. This occurs when the rod is a solid cylinder with its maximum diameter.

The moment of inertia of a solid circular rod is given by the formula:

I = (π * d^4) / 64

Substituting the formulas and given values, we can solve for the minimum diameter (d):

(π * d^4) / 64 = (M * c) / (σ * y)

d^4 = (64 * M * c) / (π * σ * y)

d = ∛((64 * M * c) / (π * σ * y))^0.25

Once we have the minimum diameter (d), we can select a preferred fractional diameter from the table provided and calculate the resulting factor of safety using the formula:

Factor of Safety = (Strength * Design Factor) / σ

Please provide the values of c, y, and the preferred fractional diameter from the table so that I can help you with the calculations.

The minimum diameter of the rod is approximately 1.37 inches.A preferred fractional diameter that corresponds to a factor of safety greater than or equal to 0.78125, ensuring a safe design.

a) To determine the minimum diameter of the rod, we can use the formula for bending stress:

σ = M / (0.25 * π * (d^3))

Rearranging the formula, we have:

d^3 = M / (0.25 * π * σ)

Substituting the given values, we get:

d^3 = 1000 / (0.25 * π * 32)

Solving for d, we find:

d ≈ 1.37 inches

Therefore, the minimum diameter of the rod is approximately 1.37 inches.

b) To select a preferred fractional diameter and calculate the resulting factor of safety, we need to compare the calculated stress with the material strength and design factor.

Given the stress σ = 32 kpsi and a material strength of 25 kpsi, we can calculate the factor of safety:

Factor of Safety = (Material Strength) / (Design Stress)

Factor of Safety = 25 / 32

Factor of Safety ≈ 0.78125

Referring to the provided table, we can choose a preferred fractional diameter that corresponds to a factor of safety greater than or equal to 0.78125, ensuring a safe design.

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Answer:

112b^2

Step-by-step explanation:

When you multiply two negative numbers, the outcome will always become positive.

7bx16b= 112b^2

Answer:

112b^2

Step-by-step explanation:

Answer:

I believe it's C a.k.a 20

Step-by-step explanation:

5x4: 20

Answer:

d = 10/72

Step-by-step explanation:

c and d vary inversely

c = k/d

Where,

k = constant of proportionality

d = 2/9 when c = 5

c = k/d

5 = k ÷ 2/9

5 = k × 9/2

5 = 9k/2

Cross product

5*2 = 9k

10 = 9k

k = 10/9

c = k/d

c = 10/9 ÷ d

c = 10/9 × 1/d

c = 10/9d

find d when c = 8

c = 10/9d

8 = 10/9d

Cross product

8*9d = 10

72d = 10

d = 10/72

10 is the answer

Step-by-step explanation:

Have a good day :)

A rectangular bedroom is 3 ft longer than it is wide. Then the width of the room will be 8 feet.

Let W be the rectangle's width and L its length.

The area of the rectangle is the multiplication of the two different sides of the rectangle. Then the rectangle's area will be

Area of the rectangle = L × W square units

A rectangular bedroom is 3 feet longer than it is wide. Its area is 88 square feet. The equations are given as,

L × W = 88         ...1

L = W + 3           ...2

From equations 1 and 2, then we have

W(W + 3) = 88

W² + 3W - 88 = 0

W² + 11W - 8W - 8 = 0

W(W + 11) - 8(W + 8) = 0

(W + 11)(W - 8) = 0

W = 8, -11

A rectangular bedroom is 3 ft longer than it is wide. Then the width of the room will be 8 feet.

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The amount of waste is 22 oz

The weights of the 3 rainbow trouts are:

3 Ib 5 oz, 2 Ib 12 oz, and 3 Ib 8 oz.

The total weight is:

Total = 3 Ib 5 oz + 2 Ib 12 oz + 3 Ib 8 oz

Evaluate the sum

Total = 8 Ib 25 oz

The amount she was left with is 8 Ib 2 oz

Subtract this amount from the total

Waste = 8 Ib 25 oz - 8 Ib 2 oz

Evaluate

Waste = 22 oz

Hence, the amount of waste is 22 oz

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The length of the ladder is approximately 5 feet.To find the length of the ladder,

we can use the trigonometric relationship between the angle of elevation and the sides of a right triangle.

Let's denote the length of the ladder as 'L' and the height of the house as 'H'.

We are given:

Angle of elevation = 69 degrees

Height of the house = 13 ft

Using the trigonometric function tangent, we can set up the following equation:

tan(69 degrees) = H / L

To find L, we rearrange the equation:

L = H / tan(69 degrees)

Substituting the given values:

L = 13 ft / tan(69 degrees)

Using a calculator, we can evaluate tan(69 degrees) and find its reciprocal:

L ≈ 13 ft / 2.743144 = 4.739 ft

Rounding to the nearest foot, the length of the ladder is approximately 5 feet.

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I will have to reject the offer of the rival company since it's lesser than $40560.

From the information, the person works a basic week of 40 hours and the basic rate is $19.50 per hour. It should be noted that there are 52 weeks in a year. The total amount will be:

= 40 × 19.50 × 52

= $40560

The rival company offers you an annual salary is $36000.

I'll reject the rival company's offer since it's lower.

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Complete question

You work a basic week of 40 hours and your basic rate is $19.50 per hour. A rival company offers you an annual salary is $36.000. Except for the pay, everything is identical between the conpanies. Do you accept or reject the rival company's offer, and why?

Answer:

-1 3/6 or -1 1/2

Step-by-step explanation:

-4-5=-9

2--4=6

-9/6= -1 3/6

Answer:

y = (-4/7)x + 5

Step-by-step explanation:

We want the equation of a line in slope-intercept form y = mx + b.

Knowing that m = -4/7, we write y = (-4/7)x + b.

We know this line passes through (14, 3) and thus can substitute 14 for x and 3 for y in the above equation, obtaining:

3 = (-4/7)(14) + b

Solving for the y-intercept, b, we get

3 = -4(-2) + b, or

b = 5

Thus the desired equation is y = (-4/7)x + 5.

The function f can be implemented using a single 4-to-1 multiplexer and two inverters.

A 4-to-1 multiplexer is a digital logic component that selects one of four input signals based on the select lines. It has four data inputs (D0, D1, D2, D3), two select lines (S0, S1), and one output (Y). By properly connecting the inputs and select lines, we can realize the desired function f.

To implement the function f using a single 4-to-1 multiplexer and two inverters, we need to carefully assign the input signals and select lines to achieve the desired behavior. The truth table of the function f will guide us in determining the appropriate connections.

First, we can use the inverters to complement the required inputs if needed. Then, we can connect the complemented and uncomplemented inputs to the select lines of the multiplexer. The output of the multiplexer will be the result of the function f.

By carefully selecting the input assignments and connections, we can effectively implement the function f using a single 4-to-1 multiplexer and two inverters. This approach offers a compact and efficient solution for realizing the desired logic function.

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Answer: Angle BGA

Step-by-step explanation:

When added together they make 180 degrees.

1 gram is equal to 0.001 kilogram.
To convert grams to kilograms, divide grams by 1000.

Step-by-step explanation:

we cannot see any graphic or so.

no clue, what these sides (?) are, and how they are related to GI and to each other.

so, it is not possible to give you an answer.

it is the 1st graph.

Graph A.