A rectangle has an area of 40cm² and a length of 8cm. What is the width of the rectangle?

Answer:the answer is x=6

Step-by-step explanation:

I alr did the quiz for this question on edg 2020

Answer:

x= 6

Step-by-step explanation:

If two events are independent, then P(A and B) = P(A) x P(B).

In your situation, you need to solve 0.185 = 0.25 x P(B).

Can you take it from there?

The statement that proves that angle XWY is equal to angle ZYW is

A. If two parallels are cut by a transverse, then alternate interior angles are congruent

Alternate interior angles are a pair of angles that are formed on opposite sides of a transversal line when two parallel lines are intersected by the transversal.

When a transversal intersects two parallel lines, it creates eight angles. Among these angles, the alternate interior angles are located on the inside of the parallel lines and on opposite sides of the transversal.

In a parallelogram, the two opposite sides are parallel to each other hence the line crossing them will lead to formation of alternate interior angles

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Answer:

DF

EF

DE

Step-by-step explanation:

First, we need to figure out the third angle.

Angles in a triangle add up to 180, so

180 = 61 + 59 + DEF

DEF = 180 - (61 + 59) = 180 - 120 = 60

In a triangle, the smallest angle is always opposite the shortest side, and the largest angle opposite the longest.

The three angles are 61, 60, and 59.

Since DEF(61) is the largest, DF is the longest.

Next is EDF(60), so EF is the next.

Finally, DFE(59) is the smallest angle, so DE is the shortest.

DF, EF, DE

Addressing issue at hand, we can state that the correct linear equation comparison symbol to the box. 10.09 10.9 f < = > is => 10.09 < 10.9

The algebraic equation y=mx+b is known as a linear equation. M serves as the y-intercept, and B serves as the slope. The previous clause has two variables, y and x, and is sometimes referred to as a "linear equation with two variables". Bivariate linear equations are those with two independent variables. The following are a few examples of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. When an equation takes the form y=mx+b, with m denoting the slope and b denoting the y-intercept, it is referred to as being linear. The term "linear" refers to an equation having the form y=mx+b, where m stands for the slope and b for the y-intercept.

the correct comparison symbol to the box.

10.09 10.9

< = >

10.09 < 10.9

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The given matrix is an elementary matrix that represents an elementary row operation of multiplying the second row by 4k. The determinant of this matrix is determinant of the original matrix, which is 4k.

Therefore, the determinant of the given elementary matrix is 4k.

To verify this result, we can also compute the determinant using the formula for a 3x3 matrix. The matrix obtained by applying the elementary row operation to the identity matrix is:

\(\left[\begin{array}{ccc}1&0&0\\0&4k&0\\0&0&1\end{array}\right]\)

The determinant of this matrix is calculated as: det(A) = 1 * (4k) * 1 - 0 * 0 * 0 - 0 * (4k) * 0 = 4k. So, the determinant of the given elementary matrix is indeed 4k, which matches our previous result.

In summary, the determinant of the elementary matrix is 4k, and this can be verified by calculating the determinant using the formula for a 3x3 matrix.

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The equation models this scenario regarding the hiker is x - 450 = 2300.

Elevation is simply used to illustrate the height above the sea level.

In this case, the hiker descended 450 feet down to an elevation of 2300 feet.

The equation that can model the scenario will be x - 450 = 2300

where x = Initial elevation

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Using the properties of multiplication to compare the expressions 3 to the eighth power and 3 to the fifth power x 3 to the third power, it can be seens that that the two expressions are equal to each other.

The properties of multiplication state that when multiplying two expressions with the same base, we can add their exponents together. This means that 3 to the fifth power x 3 to the third power is equal to 3 to the eighth power.

In mathematical notation, this looks like:

3^8 = 3^5 x 3^3

Using the properties of multiplication, we can add the exponents together:

3^8 = 3^(5+3)

Simplifying the exponent:

3^8 = 3^8

This shows that the two expressions are equal to each other. Therefore, we can conclude that 3 to the eighth power and 3 to the fifth power x 3 to the third power are the same value.

Note: The question is incomplete. The complete question probably is: Use the properties of multiplication to compare the expressions 3 to the eighth power and 3 to the fifth power x 3 to the third power.

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the answer is in the picture

The equation of the regression line is y = 0.430x + 3.59.

A characteristic of the data that is ignored by the regression line is that: A. The data has a pattern that is not a straight line.

In order to determine a linear equation for the regression line (trend line) that models the data points contained in the table, we would have to use a graphing calculator (scatterplot).

In this scenario, the x-values would be plotted on the x-axis of the scatterplot while the y-values would be plotted on the y-axis of the scatterplot.

On the Excel worksheet, you should right click on any of the data point on the scatterplot, select format trend line, and then tick the box to display an equation for the regression line (trend line) on the scatter plot.

By critically observing the scatterplot (see attachment) which models the relationship between the x-values and y-values, a linear equation for the regression line (trend line) is given by:

y = 0.430x + 3.59

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Answer:

Maths is fun

Step-by-step explanation:

1728 can be written as a fraction in terms of its prime factors:

1728 = 2^6 * 3^3

To write this as a fraction, we can put the prime factorization over 1:

1728/1 = (2^6 * 3^3)/1

Simplifying this fraction, we can cancel out a common factor of 3:

1728/1 = (2^6 * 3^3)/1 = 2^6 * 3^2 * 3/1 = 2^6 * 3^2

Therefore, 1728 can be written as the fraction 1728/1 or simplified to the fraction 64/1 or 64.

Answer:

1728/1

Step-by-step explanation:

Any number as a fraction can be over 1. In this 1728 as a fraction will be 1728/1

The System Effectiveness is approximately 0.763.

To calculate the System Effectiveness, we need to multiply the values of Operational Readiness, Design Adequacy, Availability, Maintainability, and Mission Reliability.

System Effectiveness = Operational Readiness * Design Adequacy * Availability * Maintainability * Mission Reliability

Plugging in the given values:

System Effectiveness = 0.89 * 0.95 * 0.98 * 0.93 * 0.99

System Effectiveness ≈ 0.763

Therefore, the System Effectiveness is approximately 0.763.

The correct answer is a. 0.763.

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Once we have categorized an object, our memory of the object increasingly resembles the category is B) prototype. This means that when we categorize an object, our memory of it begins to resemble the prototype or typical example of that category. For example, if we categorize a bird as a robin, our memory of the bird will increasingly resemble the characteristics of a typical robin.

This happens because our brain uses prototypes as a shortcut to process information and make sense of the world around us. We use prototypes to quickly identify objects and make assumptions about their characteristics based on their category.

our memory of an object after categorization is influenced by the prototype of the category. This helps us to quickly process and make sense of information, but it can also lead to errors and biases in our thinking.


A prototype is a mental image or best example of a category. When we categorize an object, our memory of the object increasingly resembles the prototype because we tend to recall the most representative or typical example of the category.

Once we categorize an object, our memory of the object becomes more like the prototype, which is the best example of the category. This is because we tend to remember the most representative or typical examples of a category.

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These are the computed values of beta and p-value for the given alternative value p = 0.21 and sample sizes.

To compute the beta (β) for the given alternative value p = 0.21 and sample sizes n = 81, 900, 14,400, 40,000, and 90,000, we need to determine the probability of Type II error. Beta is the probability of failing to reject the null hypothesis (H₀) when the alternative hypothesis (Hₐ) is true.

To calculate beta, we need to find the corresponding z-value for the given significance level α = 0.01, which corresponds to a z-value of 2.33 (approximate value).

Using the formula for the standard deviation of the sample proportion:

σ = sqrt((p₀ * (1 - p₀)) / n)

where p₀ is the null hypothesis value, p = 0.2, and n is the sample size.

Then we can calculate the z-score for the alternative value p = 0.21 using the formula:

z = (p - p₀) / σ

Finally, we can compute beta using the standard normal distribution table or a statistical calculator.

Let's calculate beta for the given sample sizes:

For n = 81:

σ = sqrt((0.2 * (1 - 0.2)) / 81) ≈ 0.0447

z = (0.21 - 0.2) / 0.0447 ≈ 0.2494

beta = P(Z > 0.2494) ≈ 0.4013

For n = 900:

σ = sqrt((0.2 * (1 - 0.2)) / 900) ≈ 0.0143

z = (0.21 - 0.2) / 0.0143 ≈ 0.7692

beta = P(Z > 0.7692) ≈ 0.2206

For n = 14,400:

σ = sqrt((0.2 * (1 - 0.2)) / 14,400) ≈ 0.0071

z = (0.21 - 0.2) / 0.0071 ≈ 1.5493

beta = P(Z > 1.5493) ≈ 0.0606

For n = 40,000:

σ = sqrt((0.2 * (1 - 0.2)) / 40,000) ≈ 0.0050

z = (0.21 - 0.2) / 0.0050 ≈ 2.2000

beta = P(Z > 2.2000) ≈ 0.0139

For n = 90,000:

σ = sqrt((0.2 * (1 - 0.2)) / 90,000) ≈ 0.0033

z = (0.21 - 0.2) / 0.0033 ≈ 3.0303

beta = P(Z > 3.0303) ≈ 0.0012

Next, let's calculate the p-value for the alternative value P = 0.21 and sample sizes n = 81, 900, 14,400, and 40,000.

The z-score for the given P can be calculated using the formula:

z = (P - p₀) / σ

Using the standard normal distribution table or a statistical calculator, we can find the area under the curve beyond the calculated z-score to obtain the p-value.

For n = 81:

σ = sqrt((0.2 * (1 - 0.2)) / 81) ≈ 0.0447

z = (0.21 - 0.2) / 0.0447 ≈ 0.2494

p-value = P(Z > 0.2494) ≈ 0.4013

For n = 900:

σ = sqrt((0.2 * (1 - 0.2)) / 900) ≈ 0.0143

z = (0.21 - 0.2) / 0.0143 ≈ 0.7692

p-value = P(Z > 0.7692) ≈ 0.2206

For n = 14,400:

σ = sqrt((0.2 * (1 - 0.2)) / 14,400) ≈ 0.0071

z = (0.21 - 0.2) / 0.0071 ≈ 1.5493

p-value = P(Z > 1.5493) ≈ 0.0606

For n = 40,000:

σ = sqrt((0.2 * (1 - 0.2)) / 40,000) ≈ 0.0050

z = (0.21 - 0.2) / 0.0050 ≈ 2.2000

p-value = P(Z > 2.2000) ≈ 0.0139

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The slope of the line shown in the graph is __2/3__

and the y-intercept of the line is __6___

The general linear equation is written as follows:

y = ax + b

Where a is the slope and b is the y-intercept.

On the graph we can see that the y-intercept is y = 6, then we can write the line as:

y = ax + 6

The line also passes through the point (-9, 0), replacing these values in the line we will get:

0 = a*-9 + 6

9a = 6

a = 6/9

a = 2/3

That is the slope.

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The surface area of the composite figure is 416 in².

We have,

From the figure,

We have 10 surfaces.

Now,

There are 4 pairs of surfaces and 2 different surfaces.

1 pair is in square shape.

3 pairs in a rectangle shape.

Now,

Square shape surface area.

= 3² + 3²

= 9 + 9

= 18 in²

Rectangular surface area.

= (6 x 8) + (6 x 8) + (6 x 11) + (6 x 11) + (3 x 11) + (3 x 11)

= 56 + 56 + 66 + 66 + 33 + 33

= 310 in²

And,

Two different Surfaces area.

Both are in rectangular shape.

= (11 x 3) + (11 x (8 - 3))

= 33 + (11 x 5)

= 33 + 55

= 88 in²

Thus,

The surface area of the composite figure.

= 18 + 310 + 88

= 416 in²

Thus,

The surface area of the composite figure is 416 in².

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the answer that you are looking for is C

Answer:

She completed 210 revolutions

Step-by-step explanation:

Firstly here, we will calculate the distance covered in a single revolution

Mathematically, that is the distance equivalent to the circumference of the circle

That will be ;

2 * pi * r

= 2 * 3.142 * 43 = 270.212 cm

So this is the length of one revolution

Now, we know that ;

1000 cm is 1 km

so x cm is 56.75 km

x = 56.75 * 1000 = 56750 cm

So the number of revolutions in 56750 cm distance will be ;

56750/270.212 = 210 revolutions

Answer:

(2, -10)

(4, -15)

(6, -20)

Step-by-step explanation:

First you should simplify the equation.

-5x=10+2y

-5x-10=2y

-2.5x-5=y

Then put in any number in for x. since we have a decimal I'll make the numbers I put in even the keep the solution whole numbers.

Putting in 2 gives you -10 so (2, -10) is a solution.

Putting in 4 gives you -15 so (4, -15) is a solution.

Putting in 6 gives you -20 so (6, -20) is a solution.

Answer:

eight years

Step-by-step explanation:

at year one: nabisco 30k and keebler: 36k

year two: nabisco: 33k and keebler: 38k

year three: nabisco: 36k and keebler: 40k

year four: nabisco: 39k and keebler: 42k

year five: nabisco: 42k and keeber: 44k

year six: nabisco: 45k and keebler 46k

year seven: nabisco: 48k and keeber 48k

year eight: nabisco: 51k and keebler 50k

Answer:

Step-by-step explanation:

wait we need help with the same thing lol this is really confusing.

Answer:

2167.7 sq yds

Step-by-step explanation:

SA(cone) = πr² + πrs     ('s' = slant height)

= π(15)² + π(15)(31)

= 225π + 465π

= 690π

= 2167.7

Answer:

2.08 this is answer

There are 33 red solid coloured disks with devin among 57 solid coloured disks  which are either red, blue or green by solving linear equations.

Let the number of red solid coloured disks be x.
Let the number of blue solid coloured disks be y.
Let the number of green solid coloured disks be z.

Devon has a total of 57 solid coloured disks which are either red, blue or green.

That is in the linear equation form as,

x+ y +z = 57 ___(1)

According to the question it is given that,

There are 21 more red disks than green disks. That is it can be represented in a linear equation as,

x = z + 21 ___(2)

There are 12 more green disks than blue disks. That is it can be represented in a linear equation as,

z = y + 12

⇒ y = z -12___(3)

Putting the values from equation (2) and (3) in the linear equation (1) we get,

(z + 21) + (z -12) + z = 57

⇒ 3z = 57 -9 = 48

⇒ z = 48/3

⇒ z = 12

Therefore, Number of red coloured disks , x = 12 +21 = 33

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Answer:

c

Step-by-step explanation:

I hope this helpssssssss

Answer:

the ratios 8/11 and 24/33 are proportional.

Step-by-step explanation:

Answer:

D: x = 5/ 2 + h

Step-by-step explanation:

-hx + 4 = 2x -1

First step: get the x's to one side and the integers to the other side.

-hx - 2x = -5

Second step: Take out a factor of x

x(-h - 2) = -5

Third step: seperate x from the rest of the equation by dividing

x = -5/-h - 2

Fourth step: take out that -1 from both numerator and denominator, cancelling the -1's out.

x = 5/h+2