how many inches are in a feet

Based on the given information, it is not possible to determine the p-value, decision to reject (rh0) or failure to reject (frh0) without additional data or context.

To assess whether the relaxation exercise slowed brain waves, a statistical analysis should be conducted on a sample from the population.

The analysis would involve measuring brain waves before and after the exercise and comparing the results using appropriate statistical tests such as a t-test or ANOVA. The p-value would indicate the probability of observing the data if there was no effect, and the decision to reject or fail to reject the null hypothesis would depend on the predetermined significance level.

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Answer:

The ratio of girls to total students is 12:30, which can be simplified to 2:5.

Step-by-step explanation:

You can express the ratio in different ways by using the same numbers, for example, you could say that for every 2 girls, there are 5 total students, or that for every 5 total students, 2 of them are girls.

Answer:

7.9

Step-by-step explanation:

7.87400787401

Answer: 1 1/2 or 1.5

Hope this helped!

Answer:

To determine the missing coefficient "a" in the polynomial P(x) = x^4 - 3x^3 + ax^2 - 6x + 14, we can use the SOLVE process as follows:

S: Write down the given information and identify the problem.

We are given the polynomial P(x) = x^4 - 3x^3 + ax^2 - 6x + 14, and we need to find the value of the missing coefficient "a".

O: Organize the information and decide on a plan.

To find the value of "a", we can substitute specific values for x into the polynomial and solve for a.

L: Carry out the plan.

For example, let's say we substitute x = 2 into the polynomial. We get:

P(2) = 2^4 - 32^3 + a2^2 - 6*2 + 14

= 16 - 24 + 4a - 12 + 14

= -4 + 4a + 2

= 4a - 2

We are given that P(2) = 4a - 2 = 0, so 4a = 2.

Solving for a, we get:

a = 2 / 4

= 0.5

V: Check the solution.

We can check the solution by substituting 0.5 for a in the original polynomial and verifying that it gives us the correct result for P(x) when x = 2.

P(x) = x^4 - 3x^3 + 0.5x^2 - 6x + 14

Substituting x = 2 and a = 0.5, we get:

P(2) = 2^4 - 32^3 + 0.52^2 - 6*2 + 14

= 16 - 24 + 1 - 12 + 14

= 0

Since P(2) = 0, our solution appears to be correct.

Therefore, the missing coefficient "a" in the polynomial P(x) = x^4 - 3x^3 + ax^2 - 6x + 14 is 0.5.

Using the Law of Sines, the triangle is approximately:

B ≈ 32.22°, C ≈ 99.78°, c ≈ 7.91.

To solve the triangle using the Law of Sines, we'll use the formula:

sin(A) / a = sin(B) / b = sin(C) / c

Given:

A = 48°

a = 5

b = 2

Let's find B first:

sin(A) / a = sin(B) / b

sin(48°) / 5 = sin(B) / 2

sin(B) = (sin(48°) / 5) * 2

sin(B) = sin(48°) / 2.5

B = arcsin(sin(B)) ≈ arcsin(sin(48°) / 2.5)

B ≈ 32.22° (rounded to two decimal places)

Now, let's find C:

The sum of angles in a triangle is 180°:

C = 180° - A - B

C = 180° - 48° - 32.22°

C ≈ 99.78° (rounded to two decimal places)

Finally, let's find c:

sin(C) / c = sin(A) / a

sin(99.78°) / c = sin(48°) / 5

c = (sin(99.78°) * 5) / sin(48°)

c ≈ 7.91 (rounded to two decimal places)

Therefore, the triangle is approximately:

B ≈ 32.22°

C ≈ 99.78°

c ≈ 7.91

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Correct question:

Use the Law of Sines to solve the triangle. Round your answers to two decimal places. A = 48°, a = 5, b = 2, find B, C, c

Answer: 3(x+4)<-12 and x+4<4

Step-by-step explanation:

3|x+4| - 5 < 7

The two inequalities which is used to find the solution to this absolute value inequality 3 |x + 4| - 5 < 7 are;

⇒ x - 4 < 4

And, x - 4 > - 4

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The inequality is,

⇒ 3 |x - 4| - 5 < 7

Now,

Since, The inequality is,

⇒ 3 |x - 4| - 5 < 7

Solve as;

⇒ 3 |x - 4| - 5 + 5 < 7 + 5

⇒ 3 |x - 4| < 12

⇒ |x - 4| < 4

This gives two solution as;

⇒ x - 4 < 4

And, x - 4 > - 4

Thus, The two solutions are;

⇒ x - 4 < 4

And, x - 4 > - 4

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Answer: Total of $54

Step-by-step explanation:

Answer:

13 with a remander of 1

Step-by-step explanation:

y= 3/8 OR 0.375

Step-by-step explanation:

yes

Answer:

y = - 4.5

Step-by-step explanation:

2y - 3 = 4y + 6 ( subtract 4y from both sides )

- 2y - 3 = 6 ( add 3 to both sides )

- 2y = 9 ( divide both sides by - 2 )

y = - 4.5

Answer: \((w^{\frac{1}{5} } )^{3}\)

Step-by-step explanation:

The root of a number, say \(\sqrt[n]{x}\) is equal to \(x^{\frac{1}{n} }\). So, \(\sqrt[5]{w^{3} } = (w^{3} )^{\frac{1}{5} }\). Since when dealing with an exponent of a number raised to an exponent you multiply the exponents, due to the associative property it does not matter which order you do the exponents in. So, \((w^{3} )^{\frac{1}{5} }= (w^{\frac{1}{5} } )^{3}\), which is answer D.

Thus, a basis for s⊥ is the set {(-2, 2, 0)}.

What is a basis for s ⊥?

The question involving the terms "subspace," "containing," and "spanned."

If s is the subspace of R³ containing only the zero vector, s⊥ (the orthogonal complement of s) is the entire R³ space. This is because all vectors in R³ are orthogonal to the zero vector.

If s is spanned by (1, 1, 1), to find s⊥, we need a vector that is orthogonal to (1, 1, 1). We can use the dot product to determine orthogonality. For a vector (x, y, z), the dot product with (1, 1, 1) should be zero:

(1, 1, 1) · (x, y, z) = 0
x + y + z = 0

One possible vector that satisfies this equation is (-1, 1, 0). So, s⊥ is the subspace spanned by (-1, 1, 0).

If s is spanned by (1, 1, 1) and (1, 1, -1), to find a basis for s⊥, we need a vector orthogonal to both given vectors. We can use the cross product of the given vectors to find the orthogonal vector:

(1, 1, 1) × (1, 1, -1) = (-2, 2, 0)

Thus, a basis for s⊥ is the set {(-2, 2, 0)}.

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Answer:

x=-1

Step-by-step explanation:

3x+7=7x+8-3x

3x+7=4x+8

-4x      -4x

-x+7=8

   -7  -7

-x=1

 -1

x=-1

Hey there!

3x + 7 = 7x + 8 - 3x

3x + 7 = 4x + 8

SUBTRACT 4x to BOTH SIDES

3x + 7 - 4x = 4x + 8 - 4x

WORK IT OUT!

NEW EQUATION: -x + 7 = 8

-1x + 7 = 8

SUBTRACT 7 to BOTH SIDES

-1x + 7 - 7 = 8 - 7

CANCEL out: 7 - 7 because it give you 0

KEEP: 8 - 7 because it give you the value of x.

NEW EQUATION: -1x = 8 - 7

SIMPLIFY IT!

-1x = 1

DIVIDE -1 to BOTH SIDES

-1x/-1 = 1/-1

CANCEL out: -1/-1 because it give you 1

KEEP: 1/-1 because it give you the value of x

NEW EQUATION: x = 1/-1

SIMPLIFY IT!

x = -1

Therefore, your answer is: x = -1

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

Step-by-step explanation:"To solve this equation, you can start by distributing the 0.20 and 0.30 terms. Then, you can simplify the equation by combining like terms. After that, you can isolate the variable Z on one side of the equation by adding or subtracting terms from both sides. Finally, you can solve for Z. The solution is Z = 1000. Does that help?"

The given system of differential equations is:

y1' = y1 + 3y2

y2' = 3y1 + y2

We need to verify that the functions:

y1(t) = c1e^(ut) + c2e^(-2t)

y2(t) = c1ue^(ut) - c2e^(-2t)

satisfy the system. In part (a), we find the value of each term in the equation y1' = y1 + 3y2 in terms of the variable f. In part (b), we find the value of each term in the equation y2' = 3y1 + y2 in terms of the variable f.

(a) To find the value of each term in y1' = y1 + 3y2, we differentiate y1(t) with respect to t. The derivative of c1e^(ut) is c1ue^(ut), and the derivative of c2e^(-2t) is -2c2e^(-2t). Thus, we have:

y1' = c1ue^(ut) - 2c2e^(-2t) + 3(c1ue^(ut) - c2e^(-2t))

Combining like terms, we get:

y1' = (2c1u + 3c1u)e^(ut) + (-2c2 - 3c2)e^(-2t)

(b) Similarly, we differentiate y2(t) with respect to t. The derivative of c1ue^(ut) is c1u^2e^(ut), and the derivative of c2e^(-2t) is -2c2e^(-2t). Thus, we have:

y2' = c1u^2e^(ut) - 2c2e^(-2t) + 3(c1e^(ut) + c2e^(-2t))

Combining like terms, we get:

y2' = (c1u^2 + 3c1)e^(ut) + (-2c2 + 3c2)e^(-2t)

Therefore, the value of each term in y1' = y1 + 3y2 is given by:

Term 1: (2c1u + 3c1)e^(ut)

Term 2: (-2c2 - 3c2)e^(-2t)

And the value of each term in y2' = 3y1 + y2 is given by:

Term 1: (c1u^2 + 3c1)e^(ut)

Term 2: (-2c2 + 3c2)e^(-2t)

These results verify that the functions y1(t) and y2(t) satisfy the given system of differential equations.

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False. The margin of error only accounts for sampling variability (the fact that my sample will be different that many other people's and therefore provide different statistics.

Statistics is a technique for interpreting, analyzing, and summarizing data in mathematics. In light of these characteristics, the various statistical types are divided into: Statistics that are descriptive and inferential. We analyze and understand data based on how it is presented, such as through graphs, bar graphs, or tables.

Inferential statistics, which draws conclusions from information using statistical tests like the student's t-test, is one of the two main statistical methods used in data analysis. Descriptive statistics presents data using indices like mean and median.

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No, a fraction is not a term. The distributive property can be applied to fractions because it is a general mathematical principle.

A fraction is not considered a term in the traditional sense. It is a mathematical expression that represents division. However, the distributive property can still be applied to fractions because the property itself is a fundamental rule of arithmetic that extends beyond specific types of expressions.

The distributive property states that for any real numbers a, b, and c:

a × (b + c) = (a × b) + (a × c).

When working with fractions, we can apply the distributive property as follows:

Let's consider the expression: a × (b/c).

We can rewrite this as: (a × b)/c.

Now, let's distribute the 'a' to 'b' and 'c':

(a × b)/c = (a/c) × b.

In this step, we applied the distributive property to the fraction (a/c) by treating it as a whole.

Although fractions represent division, we can still use the distributive property because it is a general mathematical principle that allows for manipulating expressions involving addition, subtraction, multiplication, and division.

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Answer:

53.5

Step-by-step explanation:

c = the height of the first 3 boys.

c = 54 + 48.5 + 46

c = 148.5

Now you add a fourth boy. His height is h.

A(h)= (c + h)/d      

d = the total number of boys which is 4.

The new average is 50.5

A = (c + h)/d

50.5 = (148.5 + h) / 4            Multiply both sides by 4

202 = 148.5 + h                    Now subtract 148.5 from both sides

202 - 148.5 = h

h = 53.5

Answer:

102

Step-by-step explanation:

i think it is the ans.

The function has a local maximum at x = 1/3 and a local minimum at x = -4/3.

A quadratic equation is a second-order polynomial equation in a single variable x

ax²+bx+c=0

with a ≠ 0 . Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

The roots x can be found by completing the square,

ax²+bx+c=0

To analyze the function F(x) = -2x² - 6x³ + 4x + 1, we can begin by finding its derivative:

F'(x) = -4x - 18x² + 4

Then, we can find the critical points of the function by setting F'(x) equal to zero and solving for x:

-4x - 18x² + 4 = 0

Using the quadratic formula, we get:

x = (-(-4) ± ((-4)² - 4(-18)(4))) / (2(-18))

Simplifying, we get:

x = (-(-4) ± (400)²) / (-36)

x = (-(-4) ± 20) / (-36)

x = 1/3 or x = -4/3

So the critical points of the function are x = 1/3 and x = -4/3.

To determine the nature of these critical points, we can use the second derivative test.

F''(x) = -4 - 36x

Plugging in x = 1/3, we get:

F''(1/3) = -4 - 36(1/3) = -16 < 0

So x = 1/3 is a local maximum.

Plugging in x = -4/3, we get:

F''(-4/3) = -4 - 36(-4/3) = 40 > 0

So x = -4/3 is a local minimum.

Therefore, the function has a local maximum at x = 1/3 and a local minimum at x = -4/3.

complete question  F(X) = 6x³ - 4x² + 1. Find The Equation Of The Tangent Line To F(X)When X = 2.

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Complete question:

Find the local maximum and minimum of f(x) = -2x² - 6x³ + 4x + 1.

Recursive algorithm for minimum number of bills needed to make an amount, given n and k denominations:Calculate the minimum number of bills by considering each denomination and recursively reducing the remaining amount

Here's a description and analysis of a recursive algorithm that computes the minimum number of bills needed to make an amount n using a system of k denominations:

Algorithm: MinimumBills(n, denominations)

If n is zero, return 0 (no bills needed).

If n is negative, return infinity (impossible to make the amount).

If n is a value that has already been computed and stored, return the stored value.

Set minBills to infinity.

For each denomination d in the k denominations:

a. If n is greater than or equal to d, recursively call MinimumBills(n - d, denominations) and store the result in numBills.

b. If numBills is less than minBills, update minBills to numBills.

Store minBills for the value of n.

Return minBills.

Analysis:

The recursive algorithm computes the minimum number of bills needed to make the amount n using the given denominations. The algorithm explores all possible combinations of denominations to find the optimal solution.

Time Complexity: The time complexity of the algorithm depends on the values of n and k denominations. Since the algorithm explores all possible combinations, the worst-case time complexity is exponential, \(O(k^n)\).

However, if the denominations are limited and n is relatively small, the algorithm can run in polynomial time.

Space Complexity: The space complexity of the algorithm is determined by the recursion depth, which is equal to n. Therefore, the space complexity is \(O(n).\)

Note: To optimize the algorithm and avoid redundant calculations, you can use memoization by storing the results for previously computed values of n in a lookup table. This can significantly reduce the number of recursive calls and improve the overall performance.

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The experimental probability of rolling a number smaller than 5 is: 6 successful outcomes / 10 total outcomes = 0.6 or 60%

The theoretical probability of rolling a number smaller than 5 is 2/3 because this is what the cube shows (1, 2, 3, 4).

The experimental probability of rolling a number smaller than 5 is 0.6 or 60% because this is what is obtained from rolling the cube 10 times.

Given that the number cube has six sides, numbered 1 to 6 and Luka rolled it 10 times, we can find the theoretical probability of rolling a number smaller than 5 by dividing the possible number of outcomes by the total number of outcomes.

The possible outcomes that are smaller than 5 are 1, 2, 3, and 4, which is a total of four outcomes. The total number of outcomes is six since the cube has six sides. The theoretical probability of rolling a number smaller than 5 is:

4 possible outcomes / 6 total outcomes = 2/3

The experimental probability of rolling a number smaller than 5 is obtained by calculating the ratio of the number of times Luka obtained a number smaller than 5 and the total number of times he rolled the cube.

In this case, the number of times Luka obtained a number smaller than 5 is 6 since there are 6 numbers less than 5, and the total number of times he rolled the cube is 10.

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The use of regression modeling in retail analytics can help businesses make data-driven decisions that ultimately lead to increased profits and growth.

Based on the information given, it seems that the large sports supplier is interested in predicting the annual revenue of a particular store based on various factors, such as population, promotion expenditure, and distance from the city center. This is a common approach in retail analytics, where regression models are often used to predict sales or revenue based on different variables.

By constructing a regression model, the sports supplier can gain valuable insights into which factors are most strongly associated with revenue, and how they can optimize their operations to increase sales. For example, they may find that stores located closer to the city center tend to have higher revenue, or that increased promotion expenditure leads to a greater increase in revenue in smaller towns.

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Answer: When students register online, the question appears in a pop-up window that must be answered in order to proceed with registering. If students register in person, make them answer the question before their registration is processed.

Step-by-step explanation:

The exponents' best option will be determined by

a + b's value is seven.

How often a number is multiplied by itself is indicated by the exponent.

For instance

In this case, 2 is multiplied by 4

Now in ( m times)

The base is designated as a, and the power is designated as m.

There are some indexing laws.

\(1)a^m \times a^n = a^{m+n}\\2)\frac{a^m}{a^n} = a^{m-n}\\3) (a^m)^n = a^{mn}\\4) (ab)^m = a^mb^m\\5) a^0 = 1\\6) a^{-m} = (\frac{1}{a})^m\)

Here,

\((2^a)(2^b) = 128\\\)

\(2^{a+b} =2^7\) [According to laws of indices]

\(a + b = 7\)

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Complete Question

If \((2^a)(2^b) = 128\\\), then a  + b is equal to?

Answer:

9²=6²+?²

81-36=?²

?=√45=3√5

Answer:

does someone know the answer

Step-by-step explanation:

The annual percentage yield, or the effective interest rate, for $1200 invested at 6.63% over 8 years compounded daily is approximately 64.04%.

To determine the annual percentage yield, or the effective interest rate, for $1200 invested at 6.63% over 8 years compounded daily, we can use the formula:
A = P(1 + r/n)^(nt)
Where:
A = the final amount
P = the principal amount (initial investment)
r = the annual interest rate (6.63%)
n = the number of times interest is compounded per year (365 for daily compounding)
t = the number of years (8)
Plugging in the values, we have:
A = 1200(1 + 0.0663/365)^(365*8)
Calculating this, we get A ≈ $1,968.49.
To find the annual percentage yield, we need to find the interest earned:
Interest = A - P = $1,968.49 - $1200 = $768.49
Now, we can find the annual percentage yield using the formula:
Annual percentage yield = (Interest / P) * 100
Plugging in the values, we have:
Annual percentage yield ≈ ($768.49 / $1200) * 100 ≈ 64.04%
Therefore, the annual percentage yield, or the effective interest rate, for $1200 invested at 6.63% over 8 years compounded daily is approximately 64.04%.

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An ice cream shop has 10 flavors and one can choose 4 different flavors. The question asks for the total number of possible flavor combinations.Therefore, we need to find the number of ways in which 4 flavors can be chosen from 10 flavors.

In such cases where order does not matter and repetitions are not allowed, we can use the formula for combinations which is as follows:C(n, r) = n! / (r! (n - r)!)Where n is the total number of items, r is the number of items being chosen at a time and ! represents the factorial function.

Using this formula we can find the total number of possible flavor combinations. Substituting the values in the above formula, we get:C(10, 4) = 10! / (4! (10 - 4)!)C(10, 4) = (10 * 9 * 8 * 7) / (4 * 3 * 2 * 1)C(10, 4) = 210Hence, there are 210 possible flavor combinations when one can choose 4 different flavors

.Explanation:The formula to be used for this type of question is combination. Combination is the method of selecting objects from a set, typically without replacement (without putting the same item back into the set) and where order does not matter. The formula for combination is given by C(n,r)=n!/(r!(n-r)!).

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