Suppose that 11 inches of wire costs 44 cents. At the same rate, how many inches of wire can be bought for 32 cents?

The two expressions for the area of the rectangle outlined in red are:

Expression in factored form: (L + a) * (W + b)

Expression in expanded form: L * W + a * L + b * W + a * b

To write two expressions for the area of the rectangle outlined in red, let's denote the dimensions of the rectangle as follows:

Length of one dimension: L

Length of the other dimension: W

1. Factored form:

In the factored form, we express the area of the rectangle as the product of the lengths of its dimensions.

Expression in factored form: (L + a) * (W + b)

2. Expanded form:

In the expanded form, we expand the factored expression by multiplying each term in one set of parentheses with each term in the other set of parentheses.

Expression in expanded form: L * W + a * L + b * W + a * b

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Answer:

\(\huge\boxed{\text{Impossible}}\)

Step-by-step explanation:

To find the probability of something happening, we find all the outcomes that can happen, find all the outcomes in which our criteria is met, and set that up as a fraction, where it's criteria met/total possible outcomes.

When we roll a 6-sided die, we will have 6 possible outcomes that we can roll.

1, 2, 3, 4, 5, and 6.

We can not roll anything except these 6! Since a die only has 6 sides, numbered 1-6, we will only roll these numbers.

7 is not in this list! It is impossible to roll a 7 on a die that only has 6 sides. Since 7 isn't even possible, it would be impossible to get a 7 on a 6-sided die.

Hope this helped!

To determine whether the set of solutions y1, y2, ..., yk is linearly dependent or not, we need to calculate the Wronskian W(y1, y2, ..., yk) and check whether it is zero for some x in (-[infinity], [infinity]). If it is never zero, then the set of solutions is linearly independent. If it is zero for some x, then the set of solutions is linearly dependent.

To determine whether the set of solutions y1, y2, ..., yk is linearly dependent or not, we can use the Wronskian determinant. The Wronskian of a set of k functions is defined as:

W(y1, y2, ..., yk) = det [y1, y2, ..., yk; y1', y2', ..., yk'; ..., ..., ..., ...; y1^(k-1), y2^(k-1), ..., yk^(k-1)]

where y1', y2', ..., yk' are the first derivatives of y1, y2, ..., yk, respectively, and y1^(k-1), y2^(k-1), ..., yk^(k-1) are their (k-1)th derivatives.

If the Wronskian is nonzero for all x in (-[infinity], [infinity]), then the set of solutions is linearly independent. If the Wronskian is zero for some x in (-[infinity], [infinity]), then the set of solutions is linearly dependent.

Therefore, to determine whether the set of solutions y1, y2, ..., yk is linearly dependent or not, we need to calculate the Wronskian W(y1, y2, ..., yk) and check whether it is zero for some x in (-[infinity], [infinity]). If it is never zero, then the set of solutions is linearly independent. If it is zero for some x, then the set of solutions is linearly dependent.

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Answer:

3 terms.

Step-by-step explanation:

Each term is separated by a symbol. +, -, =, etc.

All you must do is count the number of sequences between symbols.

You have 3 terms.

Brainliest appreciated!

Number of terms in polynomial 8c⁴ + 4c³ + 3c² is 3.

The correct option is D.

A term can be a number, a variable, product of two or more variables or product of a number and a variable. An algebraic expression is formed by a single term or by a group of terms.

For example, in the expression 4x + y, the two terms are 4x and y.

Given polynomial,

8c⁴ + 4c³ + 3c²

Terms in the above polynomials are = 8c⁴, 4c³ and 3c²

Number of terms = 3

Hence, 3 terms are in polynomial 8c⁴ + 4c³ + 3c².

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Answer:

D:10

Step-by-step explanation:

find hyp. first

sin 45=opp/hyp.

√2/2=10/hyp.

hyp.=20/√2 0r 10√2

Pythagorean theorem: a²+b²=c²

now find x²=(10√2)²-10²

x²=200-100

x²=100

x=√100=10

Answer:

\(\frac{\sqrt{3}}{2}\)

Step-by-step explanation:

Sine is positive in the second quadrant, so:

\(\sin \frac{240^{\circ}}{2}=\sqrt{\frac{1-\cos 240^{\circ}}{2}} \\ \\ =\sqrt{\frac{1.5}{2}} \\ \\ =\sqrt{3/4} \\ \\ =\frac{\sqrt{3}}{2}\)

Answer: ^2(^2−3)

Step-by-step explanation:

Answer:

\( {m}^{4} - 3 {m}^{2} \\ {m}^{2} ( {m}^{2} - 3)\)

I hope I helped you^_^

Answer:

Step-by-step explanation:

9m^2 + 3mn - 3mn - n^2

9m^2 - n^2

Answer:

Step-by-step explanation:

Is their suppposed to be a pic

  Mean absolute deviation (MAD) of the data set indicates the average distance of all elements from mean of the data set.

MAD of the data represented by dot plot in the picture will be Option A.

Elements in the given dot plot are,

3, 4, 5, 5, 5, 5, 5, 5, 6, 7

Steps to be followed for the mean absolute deviation of this data set.

Step - 1 :

Mean of the data set = \(\frac{\text{Total of the data}}{\text{Total number of elements}}\)

                                   = \(\frac{3+4+5+5+5+5+5+5+6+7}{10}\)

                                   = \(\frac{50}{10}\)

                                   \(=5\) (As shown on the dot plot)

Step - 2 :

Absolute distance of each element from the mean of the data set,

3 - 5 = |-2| = 2

4 - 5 = |-1| = 1

5 - 5 = 0

5 - 5 = 0

5 - 5 = 0

5 - 5 = 0

5 - 5 = 0

5 - 5 = 0

6 - 5 = 1

7 - 5 = 2

Step - 3 :

Average of the absolute distance = \(\frac{2+1+0+0+0+0+0+0+1+2}{10}\)

                                                        = \(\frac{6}{10}\)

                                                        = 0.6

          Therefore, Option A will be the correct option.

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Answer:

x = 33

Step-by-step explanation:

∡ CBE = ∡DBA = 57°

The sum of the interior angles of a triangle results 180°

∡BDA = it´s a right angle = 90°

Then:

57° + 90° + x = 180°

147° + x = 180°

x = 180° - 147°

x = 33°

Answer:

44%

0.44 is 44% of 1.

The correlation is a significant non-zero value.

The number of samples is n.

n = 25

The correlation of the coefficient is r.

r = -0.40

When correlation is significant,

\(H _{0} : p = 0\)

When correlation is non-zero,

\(H _{ \alpha } : p ≠0\)

The test statistic is,

\(TS = \frac{r \times \sqrt{n - 2} }{ \sqrt{1 - r {}^{2} } } \)

\( = \frac{0.4 \times \sqrt{25 - 2} }{ \sqrt{1 - ( - 0.4) ^{2} } } \)

\( = \frac{ - 1.918 }{ \sqrt{0.84} } \)

= -2.093

The test statistic is -2.093.

The correlation is,

\(H _{ \alpha } : - 2.93 ≠0\)

The correlation is not equal to zero and is significant.

Therefore, the correlation is a significant non-zero value.

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The equation u×(v + w) = (u × v) + (u × w) is generally true as a property of the cross product.

The cross product is a mathematical operation that results in a third vector that is perpendicular to both input vectors.

The equation u×(v + w) = (u × v) + (u × w) is a mathematical expression that relates the cross product of two vectors, v and w, to the cross product of each vector individually with a third vector, u.

In general, the equation is true, as it is a property of the cross product which is property is known as the distributive property.

However, there are certain conditions where the equation is not always true.

Therefore, the correct option is (b).

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1.0, 3.5, 5, 6.5, 10 are the 5 number summary of the given table.

How do you find the 5 number summary?

When conducting descriptive analyses or conducting an initial analysis of a sizable data set, a five-number summary is particularly helpful. The maximum and minimum values in the data set, the lower and upper quartiles, and the median make up a summary's five values. Finding the smallest data value (minimum), the 25th percentile (Q1 - the first quartile), the median (25th percentile, Q2, the second quartile), the 75th percentile (Q3 - the third quartile), and the highest data value will yield the data set's five-number summary (maximum). The minimum, lower quartile (Q1), median (Q2), upper quartile (Q3), and maximum make up the five-number summary. The median is the middle value; Q1 is the median of the first half of the data, and Q3 is the median of the second half.

Smallest value = 1.0

Median of the first half data Q1 = 3.5

Median Q2= 5.0

Median of the second half data Q3 = 6.5

Largest number = 10.0

The lowest is the smallest number, the maximum is the highest, the median is the intermediate value.

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The value of the equation y = x + 4 is

when x = 0 , y = 4

x = 1 , y = 5

x = 2 , y = 6

x = 3 , y = 7

x = 4 , y = 8

x = 5 , y = 9

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be A

Now , the value of the equation A is y = x + 4

The values of x is represented in set P = { 0 , 1 , 2 , 3 , 4 , 5 }

Now , on substituting the values for x in the equation , we get

a)

when x = 0

The equation is

y = x + 4

y = 0 + 4

y = 4

b)

when x = 1

The equation is

y = x + 4

y = 1 + 4

y = 5

c)

when x = 2

The equation is

y = x + 4

y = 2 + 4

y = 6

d)

when x = 3

The equation is

y = 3 + 4

y = 3 + 4

y = 7

e)

when x = 4

The equation is

y = 4 + 4

y = 4 + 4

y = 8

f)

when x = 5

The equation is

y = 5 + 4

y = 5 + 4

y = 9

Hence , The value of the equation y = x + 4 is

when x = 0 , y = 4

x = 1 , y = 5

x = 2 , y = 6

x = 3 , y = 7

x = 4 , y = 8

x = 5 , y = 9

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Answer:

3

Step-by-step explanation:

I have showed the steps in the attached image.

Answer:

a triangle is a closed polygon that consists of three sides and three angles,and it's one of the basic shape that we basic shape that we knowing geometry.

answer:

not factorable

When performing a statistical analysis, we work with sample rather than the entire population because, we often lack manpower or resources to gather data. So option D is correct.

Statistical work is usually done with a sample. This is done because, if we try to include and collect data from the whole population, it will be very time consuming and need more manpower and resources. It will become a much tedious process.

So a sample which is representative of the whole population is needed. Selecting a sample size and determining the sample must follow certain criteria. They are population parameters we want to estimate, Cost of sampling, Variability of the population, how hard is it to collect data and how precise we want the final estimates to be. All these are taken into consideration and a sample that properly represent the population is determined without bias.

So, option D is the correct answer.

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A rhombus with MK = 24 m, JL = 20, ∠MJL = 50°. So, NK = 24 m, NL = 24.8 m, ML = 24.8 m, and JM = 20 m.

We need the information about the measurements or a description of the missing measures in the rhombus. We can make it MK = 24 m, JL = 20, ∠MJL = 50° for example. Since it's a rhombus, all sides are equal in length. Therefore, NK = MK = 24 m, JM = JL = 20 m, and ML = NL.

To find ML (or NL), we can use the Law of Cosines on the triangle MJL. In this case,

ML² = JM² + JL² - 2(JM)(JL)cos(∠MJL):

ML² = 20² + 20² - 2(20)(20)cos(50°)

ML² = 400 + 400 - 800cos(50°)

ML² ≈ 617.4

Taking the square root of both sides, we get ML ≈ √617.4 ≈ 24.8 m.

So, NK = 24 m, NL = 24.8 m, ML = 24.8 m, and JM = 20 m.

The complete question is The quadrilateral below is a rhombus. Given MK = 24 m, JL = 20, ∠MJL = 50°. Find NK, NL, ML, and JM. Any decimal answers should be rounded to the nearest tenth.

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The volume of the solid is 603.19 cubic feet

The formula for the volume of a hemisphere is (2/3)πr³.

Since the radius of the hemisphere is not given,

Assume it to be the same as the radius of the cone, which is 6 feet.

So, the volume of the hemisphere is,

⇒ (2/3)π(6³) = 144π cubic feet

The formula for the volume of a cone is (1/3)πr²h,

where r is the radius and h is the height.

Put in the values we have, we get,

⇒ (1/3)π(6²)(12) = 144π/3

                        = 48π cubic feet

Find the total volume of the composite solid by adding the volumes of the hemisphere and the cone,

⇒ Total volume = Volume of hemisphere + Volume of cone

⇒ Total volume = 144π + 48π

⇒ Total volume = 192π cubic feet

Finally, rounding to the nearest hundredth,

The volume of the composite solid is 603.19 cubic feet.

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Answer:its B

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

1. Null hypothesis: The mean age of purchasers and non-purchasers of toothpaste is the same. Alternative hypothesis: The mean age of purchasers and non-purchasers of toothpaste is significantly different.

2. The test statistic T can be calculated using the formula T = (X1 - X2) / (S1^2/n1 + S2^2/n2)^0.5, where X1 and X2 are the mean ages of purchasers and non-purchasers, S1 and S2 are the standard deviations of purchasers and non-purchasers, and n1 and n2 are the sample sizes. In this case, T = (37.21 - 30.7) / (6.612/50 + 8.35^2/50)^0.5 = 4.035.

3. The p-value can be calculated using a t-distribution with 98 degrees of freedom (since we have two samples of size 50 and therefore 98 degrees of freedom). Using Excel, the p-value is 0.0001.
4. The critical value can be found using a t-distribution with 98 degrees of freedom and a significance level of 0.01. Using Excel, the critical value is 2.364.

5. Since the calculated test statistic (T = 4.035) is greater than the critical value (2.364), we reject the null hypothesis and conclude that the mean age of purchasers and non-purchasers of toothpaste is significantly different at the 1% significance level.

6. Therefore, we can conclude that age is a significant factor in determining whether someone purchases toothpaste or not. Further research may be necessary to investigate other factors that may influence purchasing decisions. The attached Excel file includes all calculations and output.

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The word Predictor variables are known to be used in regression to predict values of the variable of interest,  Variables whose values can be easily determined and are related to the variable of interest.

Predictor variable is known to be a kind of variable where the independent variable is often used in regression analyses.

The predictor variable helps one with the information on a linkage of the dependent variable in terms of a particular outcome. In fundamental level, predictor variables are regarded as variables that are related with a specific outcomes.

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Answer: wut the ham is this

Total balls will be 14, dodge balls will be 20 and the number of other balls will be 36.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In another word, the equation is a set of variables that have been constructed.

In other words, an equation is a set of variables that are constrained through a situation or case.

The total ball will be the sum of dodge ball + other ball so it will be

5 + 9 = 14

The number of pumped up for a single ball

56/14 = 4

So the number of Tlaloc pumps of dodge ball will be  5 × 4 = 20.

Number of Tlaloc pump of other ball = 9 × 4 = 36.

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