Which vector has a greater magnitude?
The vector that is 2 meters long or the
one that is 4 meters long?

A correlation is simply used to determine whether a relationship exists between the variables.

The information is incomplete and an overview will be given. The correlation shows the relationship between the variable.

This can be explained in a numerical form that's known as the correlation coefficient. This shows that strength of the relationship.

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Given a ferris wheel has a diameter of 225 feet and a passenger gets in a car and travels 38 feet when the wheel stops to let more passengers on, we need to find the angle of rotation to the nearest degree.

We will solve the problem by using the formula of the length of the arc of a sector which is given by L = rθ, where L is the length of the arc, r is the radius of the circle, and θ is the angle of rotation. First, we need to find the radius of the ferris wheel which is half of its diameter. Therefore, radius, r = 225 / 2 = 112.5 feet. The length of the arc covered by the passenger is 38 feet, so we can substitute the values of L and r in the formula of the length of the arc of a sector to get 38 = 112.5θ. Therefore, the angle of rotation, θ = 38 / 112.5 = 0.34 radians.To convert radians to degrees, we use the formula θ (in degrees) = θ (in radians) × 180° / π. Substituting the value of θ in degrees, we get θ (in degrees) = 0.34 × 180° / π = 19.47° ≈ 19°.Therefore, the angle of rotation of the ferris wheel to the nearest degree is 19 degrees. We can conclude that the angle of rotation is much smaller than a quarter of a complete circle which is 90 degrees. This is expected as the length of the arc covered by the passenger is much smaller than the circumference of the ferris wheel which is about 706.86 feet. Hence, the passenger travels only a small fraction of the circle which corresponds to a small angle of rotation of the ferris wheel.

The angle of rotation of the ferris wheel to the nearest degree is 19 degrees.

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The house is 0 miles east of the center of the town.

To determine how far east of the center of the town the house is located, we need more information about the shape of the cell tower's coverage. However, we can make an estimation based on the given information.

Since the house lies on the boundary of the cell tower's coverage, we can assume that the cell tower's coverage area is circular.

Let's consider the following scenario: if the center of the town is the origin of a coordinate system, and the cell tower is located at (0,0), with the house 6 miles north of the town's center, we can represent the house's location as (0,6).

Assuming the cell tower's coverage area is circular, the house must lie on the circumference of this circle. In this case, the radius of the circle is 6 miles (since the house is located 6 miles north of the town's center).

Now, if we want to find the eastward distance of the house from the center of the town, we need to find the x-coordinate of the house. Since the house is directly east of the cell tower, the x-coordinate will be 0.

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The volume of the solid made up of two identical cones is 1361.48 cm³.

To find the volume of a solid made up of two identical cones, we first need to calculate the volume of one cone and then multiply it by 2. The formula for the volume of a cone is V = (1/3)πr²h, where r is the radius and h is the height.

Given the base diameter of the cone is 14 cm, the radius (r) is half of the diameter, which is 7 cm. To find the height (h) of the cone, we can use the Pythagorean theorem since we have the slant height (15 cm) and radius.

Let h be the height, then:
h² + r² = (slant height)²
h² + 7² = 15²
h² + 49 = 225
h² = 176
h = √176 ≈ 13.27 cm

Now we can calculate the volume of one cone:
V = (1/3)π(7²)(13.27) ≈ 680.74 cm³

Since the solid is made up of two identical cones, we multiply the volume by 2:
Total volume = 2 × 680.74 cm³ ≈ 1361.48 cm³

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Answer:

66 (C)

Step-by-step explanation:

For the starting figure, you know that each block has a width of 10, and a height of 5 cm. If you are calculating the perimeter, then the only parts of the figure that matter are the outsides.

When we add a layer, we replace the perimeter along the bottom (with an equal length, so the perimeter is not changing along the base).

But we also add the length of added rectangles to the sides, and that is not replacing the perimeter already on the previous layer--it is increasing the perimeter by 10 cm (5 cm on both sides).

So, if we want to find the perimeter of figure 1, we can calculate the top (10 cm + 10 cm on top, 5 cm + 5 cm for the sides of the block on top, 5cm + 5 cm for the outsides of the lower layer, 10cm + 10cm for the bottom base) (60cm is the perimeter).

Each layer we add it adding 10cm. So, the perimeter of figure 2 is 60 + 10, or 70cm.

To find how many layers we have added to the figure n, we should first subtract the original 60 cm, so that we can find how much we have added. 710 - 60 = 650.

So, we have added 650 cm to the perimeter of our figure. We know that we are adding 10 cm at a time, so to find how many times we have had to add a layer, we need to divide 650 / 10 , to get 65. We have added a layer 65 times.

The first layer is +0 times, the second is +1, the third is +2, so the +65 is going to be the 66th layer, making the answer 66.

Answer:

-453/15 = -30.2

Answer:

-30.2 or -30 1/5

Step-by-step explanation:

To evaluate the expression 12x⁻³y⁻¹ for x = -1 and y = 5, we substitute these values into the expression.

12x⁻³y⁻¹ = 12(-1)⁻³(5)⁻¹

Here, -1 is raised to an odd power, so it is negative.

-1³ = -1 × -1 × -1

= -1

So, (-1)³ = -1

Thus, we have:

12x⁻³y⁻¹ = 12(-1)⁻³(5)⁻¹

= 12(-1/1)(1/5)

= -12/5

Therefore, the value of 12x⁻³y⁻¹ for x = -1 and y = 5 is -12/5.

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Answer:

hkfgyjfjyfj685

Step-by-step explanation:

rdytesrghd

Answer:

okay here is what i think see if my explanation will help

Step-by-step explanation:

i think

(4*3/10)*3 get it just follow this work it out and tell me your answer

Home prices are probably skewed to the right and not symmetric. So the correct option would be A.

This makes the median a better representation of the center than the mean which would be influenced by the extremely high-priced homes.

Reporting the mean would give the impression that the​ "typical" home price is higher than it is.

they substitute the median for the mean. The median is unaffected by severe outliers or asymmetric score distributions because it only takes one or two values. In contrast, skewed distributions might have different mean and mode values.

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Answer:

21°

Step-by-step explanation:

Since these are both equivalent right triangles, ∡RQY and ∡PQY are the same. So set them equal to each other.

16x-27=5x+6

x=3

Next plug x into ∡RQY

16(3)-27=21°

Answer:

Step-by-step explanation:

3

The correct option of the given question is option(c) becomes narrower.

Based on the given information, when the confidence level is lowered from 98% to 97%, the confidence interval for the population mean μ becomes narrower. So, the correct answer is option c. becomes narrower.

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When the confidence level is lowered from 98% to 97%, the confidence interval for the population mean μ becomes wider.

This is because a higher confidence level implies a narrower interval to provide a higher level of certainty in capturing the true population mean. Conversely, when the confidence level is decreased, the interval needs to be wider to allow for a larger margin of error and account for the reduced confidence requirement.

Widening the interval ensures that the estimate is more conservative and includes a broader range of possible values for the population mean. Therefore, the confidence interval for μ becomes wider as the confidence level is lowered.

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Answer:

y=-1/8x+11/16

Step-by-step explanation:

The slope-intercept form is y=mx+b. You have to move over 2x to the other side. After that you have to divide both sides by 16 to get to the y intercept form, so it would end up as y=-1/8x+11/16, where -1/8=m and 11/16=b

Answer:

Option C

Step-by-step explanation:

To test a graph whether it represents a function or relation we conduct a vertical line graph.

If the vertical line intersect the graph at two different points, graph represents a relation only.

By analyzing the given graph with the vertical line test,

Since, a vertical line (x = -4) intersect the graph at two points (y = -1 and y = 5),

Given graph represents a relation only.

Option C is the answer.

Answer:750.196

Step-by-step explanation: 5% of 789.68 is 39.484 so if you subtractit will equal to 750.196

Answer:

When the two values are different

Step-by-step explanation:

Like in an inequality equation.

For example:

\(4+5x\geq 30\)

The answer would be anything greate than or equal to 30, but you would need to find x. The number line would be very useful

Hope this helps

Correct option is A, (1,2) is the correct option for the given system of equations.

simultaneous equations, system of equations Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system).

The number of equations must match the number of unknowns for a system to have a singular solution.

A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system.

A group of equations comprising one or more variables is known as a system of equations. The variable mappings that satisfy each component equation, or the points where all of these equations cross, are the solutions of systems of equations.

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Answer:

Step-by-step explanation:

A 2% decrease each year means that the population at the end of a year is 98% of what it was at the start of the year.  Apply this for t consecutive years and you get the relation

P(t) = Po (0.98)t

Po = 100,000

P(t) = 100,000 (0.98)t

Answer: 38

Step-by-step explanation:

Subtract 1/8 from 1/2

12 - 18 is 38.

Steps for subtracting fractions

Find the least common denominator or LCM of the two denominators:

LCM of 2 and 8 is 8

Next, find the equivalent fraction of both fractional numbers with denominator 8

For the 1st fraction, since 2 × 4 = 8,

12 = 1 × 42 × 4 = 48

Likewise, for the 2nd fraction, since 8 × 1 = 8,

18 = 1 × 18 × 1 = 18

Subtract the two like fractions:

48 - 18 = 4 - 18 = 38

We know that taking out too many lines of credit can actually harm your credit score, so it's important to be cautious with how many accounts you open.

A way to build good credit is by paying bills when they are due. Additionally, using only secured loans can also help build good credit, as these loans require collateral and can be easier to qualify for.

Using only credit cards can also be a way to build good credit, as long as the cards are used responsibly and payments are made on time.

However, taking out too many lines of credit can actually harm your credit score, so it's important to be cautious with how many accounts you open.

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Answer: Line C

Step-by-step explanation:

Because when you use the slope formula on it you get a negative slope. Also the line in going down unlike the other lines which are goign up.

Answer:

Perpendicular Line : y = -3x + 6

Step-by-step explanation: Find the negative reciprocal of the slope of the original line and use the point-slope formula y-y1 = m (x-x1) to find the line perpendicular to x-3y=3.

I hope this helps you out. If not, I am really sorry.

Answer:

Perpendicular Line : y = -3x + 6

Step-by-step explanation:

Torque is the cross product of the distance from the pivot point to the force, denoted by r, and the force applied, denoted by F. τ= r×F, where r is the moment arm, and F is the force. The direction of torque is either clockwise or counterclockwise depending on whether the force causes rotation that is clockwise.

Also, it is denoted by a positive sign for a counterclockwise torque and a negative sign for a clockwise torque.Let's assume that the vector F, acting on a rigid body about pivot point P, creates a moment, i.e., torque. The torque about P is determined by the product of the force magnitude, F, and the perpendicular distance, rm, from point P to the line of action of F.

 That is, τ=rm ×F. If F and rm are known, we may substitute them into the equation to obtain the torque in the direction of rotation.τ = rm × Fsin(θ) where θ is the angle between the two vectors F and rm.Therefore, the torque about P due to F is expressed in terms of rm and F or in terms of r, θ, and F as τ=rm ×Fsin(θ) or τ = rFsin(θ), respectively.

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The probability that a randomly selected computer will have a life expectancy of at least 8 years is 0.0985.

Given,
The average life expectancy of computers produced by Ahmadi, Inc. is 5 years with a standard deviation of 11 months. The lives of computers are normally distributed.
We need to find the probability that a randomly selected computer will have a life expectancy of at least 8 years.
First, we need to convert all of the units to months.
Average life expectancy = 5 years = 60 months
Standard deviation = 11 months
We want to find the probability of a computer having a life expectancy of at least 8 years which is equal to 96 months.
z-score for 96 months can be calculated as:

z = (x - μ) / σ

z = (96 - 60) / 11
z = 3.09

We can now use the z-table to find the probability that a randomly selected computer will have a life expectancy of at least 8 years.
The area under the normal distribution curve to the right of the z-score of 3.09 is 0.00169.
Therefore, the probability that a randomly selected computer will have a life expectancy of at least 8 years is 0.0985 (or 9.85%).

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