more math !!!!! lol helppp

Step-by-step explanation:

a) The test statistic is (4.4-4)/(1.3/sqrt(70)) = 2.83. The p-value is 0.0023. Since the p-value is less than 0.05, we reject the null hypothesis.

b) The test statistic is (5.3-4.4)/sqrt((1.4^2/106)+(1.3^2/70)) = 4.09. The p-value is less than 0.0001. Since the p-value is less than 0.05, we reject the null hypothesis.

Answer:

385

Step-by-step explanation:105÷3=35 35×11=385

Answer:

-3,-4.5

Step-by-step explanation:

hope this helps

Answer:

-3,-4.5

Step-by-step explanation:

Answer:

The solution is:

\(y=7,\:x=3\)

Step-by-step explanation:

I think substitution method would be the best method for solving the given system of equations.

The reason is that all we need is to plug in the the value of y i.e. y=x+4 in the equation 3x – 4y = -19, then solve for x, and in the end substitute the value x in the equation y=x+4 to get the y-value.

The other method, elimination method, can also be used, but elimination method in current system of the equations would involve a certain degree of arrangements of the variables and then different multiplying of the equation to eliminate the variables.

Thus, I think substitution method would be the best method for solving the given system of equations.

Let us solve using substitution method

\(\begin{bmatrix}y=x+4\\ 3x-4y=-19\end{bmatrix}\)

\(\mathrm{Subsititute\:}y=x+4\)

\(\begin{bmatrix}3x-4\left(x+4\right)=-19\end{bmatrix}\)

\(\begin{bmatrix}-x-16=-19\end{bmatrix}\)

\(x=-16+19\)

\(x=3\)

Now, just substitute x=3 in y=x+4

\(y=x+4\)

\(y=3+4\)

\(y=7\)

Thus, the solution is:

\(y=7,\:x=3\)

Answer:

164.33 m^3

Step-by-step explanation:

Mathematically, we have the formula for the volume as;

V = A * h/3

V = 5.8 * 85/3

V = 164.33 m^3

Answer:

x > 3

Step-by-step explanation:

This is based on the concept 'when a negative number is multiplied to both sides of the inequality, the sign gets reversed. For example, x > - 2 when it is multiplied by - 1, it becomes - x < 2.'

*only when the number is -ve.

Similarly, in this question, multiply both sides by - 1.

2x > 6

x > 6/2

x > 3

For more : take - 5 > - 2, as you know

Note that 5 is actually greater than 2. To make this true we change signs

Given:

The figure of triangle LNM.

To find:

The Law of Sines for the given triangle.

Solution:

Law of sines: In triangle ABC,

\(\dfrac{\sin A^\circ}{a}=\dfrac{\sin B^\circ}{b}=\dfrac{\sin C^\circ}{c}\)

Similarly, the Law of Sines for the given triangle LNM is:

\(\dfrac{\sin L^\circ}{l}=\dfrac{\sin N^\circ}{n}=\dfrac{\sin M^\circ}{m}\)

Therefore, the correct option is b.

The probability of recording a number higher than 6 is 3/4.

The probability of recording a number higher than 6 is equal to the probability of rolling a 7 or 8 on the dice, which is 1/4, plus the probability of flipping tails and recording an 8, which is 1/2.

Properties:

Therefore, the probability of recording a number higher than 6 is 1/4 + 1/2 = 3/4.

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Answer:

x + 18 ≥ 26

Step-by-step explanation:

"greater than or equals": ≥

x + 18 ≥ 26 is your answer.

If you are trying to solve it so you isolate x, subtract 18 from both sides:

x + 18 (-18) ≥ 26 (-18)

x ≥ 26 - 18

x ≥ 8

x ≥ 8 is your answer.

~

Answer:

x+18 ≥ 26

Step-by-step explanation:

≤ is the less than or equals sign

≥ is the greater than or equals sign

x+18 ≥ 26

(This also means x must be ≥ 8)

Answer:

3 1/14

Step-by-step explanation:

subtract whole numbers

combine factors

hope this help :)

She is incorrect with the shading as the part being shaded is actually 30 degree Fahrenheit and not 20 degree Celsius.Therefore, she need to readjusted the shading to 20 degree Celsius.

The scale is used to measure temperature where freezing point of water is 0 degrees Celsius and the boiling point of water is 100 degrees Celsius at standard atmospheric pressure. The negative values indicate temperatures below freezing point.

Therefore, if Kaylon shaded the thermometer to represent a temperature of 20 degrees below zero Celsius, then the shaded area should be below the zero mark on the thermometer which indicates a temperature that is lower than the freezing point of water.

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Answer: x= 11/12

Step-by-step explanation:

-6(10x-10) - 5

-60x +60 - 5

-60x + 55

Subtract 55 on both sides

-60x = -55

x= 55/60

x= 11/12

Answer:

repel and attract is correct answer

Answer:

repel; attract

Step-by-step explanation:

think of magnets, N and N repel and N and S attract

The Coase theorem is an economic theory that states that in the absence of transaction costs, the allocation of resources and the distribution of wealth will be efficient regardless of how property rights are assigned.

In this context, the theorem reminds us that efficiency is all about maximizing total welfare, rather than focusing solely on the allocation of resources or the distribution of wealth. When transaction costs are low or non-existent, parties can negotiate with each other to reach mutually beneficial agreements that maximize their combined welfare. This means that ownership of property or resources is less important than the ability of parties to freely negotiate with one another.

For example, imagine two neighboring farms: one produces apples and the other produces honey. If the apple farmer's use of pesticides harms the bee population and reduces the honey farmer's production, the honey farmer could demand compensation from the apple farmer. If transaction costs are low, the two farmers could negotiate a solution that is mutually beneficial, such as the apple farmer paying for the honey farmer to relocate their bees to a safer area. In this scenario, the assignment of property rights is not as important as the ability of the two parties to negotiate and reach an agreement that maximizes their total welfare.

Overall, the Coase theorem highlights the importance of considering the broader impacts of economic decisions and recognizing that efficiency depends on maximizing the overall benefits to all parties involved, rather than just focusing on individual outcomes.

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Answer:

14.375 or 14 3/8

Step-by-step explanation:

5.75*2.5=answer

Answer 5 3/4

Step by step explanation:

So her speed is 5 3/4 mph.

So you just calculate 5 3/4 x 2.5 and you get 14 3/8

I hope this helps

Step-by-step explanation:

with 2 cubes we have 12 faces to paint.

each face has 2 options (black or white).

so, we have a total of 2¹² possible outcomes.

a probability is always the ratio of

desired cases / totally possible cases

so, we need to find a way to express the desired cases of both cubes being painted the same way.

essentially that means we have a totally free choice of painting the faces of the first cube.

that is 2⁶ possible outcomes.

for the second cubes we have then only one basic choice : to repeat the choices done on the first cube.

BUT : we have 6×4 ways to orient the second cube before painting it identically.

6 ways to pick e.g. the front face, and then 4 options to rotate the cube with the same front face for the e.g. top face.

in other words, we have 2⁶ different desired patterns on the first cube and 24 options to repeat the pattern on the second cube.

that means the desired options are 2⁶×1×24

so, the probability for them to be identical is

24×2⁶ / 2¹² = 24/2⁶ = 3/2³ = 3/8 = 0.375

The probability that after they are painted, the cubes can be rotated to be identical in appearance is (a) 64/9

Probability is a branch of mathematics that deals with the study of random phenomena or events with uncertain outcomes.

Let's start by assuming that one of the cubes has the black face facing up. The other cube can be painted in any of the possible ways.

Let's list all the possible configurations for the second cube.

There are six faces, and each can be painted either black or white. Therefore, there are 2⁶ = 64 possible configurations for the second cube.

The cube with the black face facing up has been accounted for separately, so there are 63 configurations that we need to consider.

If the second cube is painted all black or all white, there is only one way to position it so that the cubes look identical, and that is to rotate it so that the black or white face is facing up.

There are two such configurations. If the second cube has exactly one white face and five black faces, there are three ways to position it so that the cubes look identical. There are three such configurations

.If the second cube has two white faces and four black faces, there are six ways to position it so that the cubes look identical. There are six such configurations.

If the second cube has three white faces and three black faces, there are eight ways to position it so that the cubes look identical. There are eight such configurations.

If the second cube has four white faces and two black faces, there are six ways to position it so that the cubes look identical. There are six such configurations.

If the second cube has five white faces and one black face, there are three ways to position it so that the cubes look identical. There are three such configurations

.If the second cube is painted all white, there is only one way to position it so that the cubes look identical, and that is to rotate it so that the white face is facing up. There are two such configurations.

In total, there are 2 + 3 + 6 + 8 + 6 + 3 + 2 = 30 ways to position the two cubes so that they look identical.

There are 63 × 64 possible configurations for the two cubes, so the probability of the cubes being able to be rotated to be identical in appearance is given by:

30/ (63×64) = 64/9

Therefore, the correct answer is (a) 64/9.

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The transfer function for a filter is a mathematical expression that describes how the filter affects the input signal.
Once we have determined the type of filter, we can derive the transfer function (part b) using standard methods for that type of filter. The transfer function will be a mathematical expression that relates the input signal to the output signal for the filter.
Finally, using the transfer function (part c), we can determine the parameters requested in the textbook. These parameters might include things like the cutoff frequency, the resonance frequency, or the Q factor of the filter.

Since I don't have access to your specific textbook, I'll provide a general outline on how to approach this type of problem using the terms you've provided: functions, function, and parameters.

1. Determine the type of filter by observation:
Analyze the given circuit diagram or description and identify the type of filter based on its components and configuration. Common filter types include low-pass, high-pass, band-pass, and band-stop filters. In this problem, we are dealing with functions and their parameters. A function is a mathematical equation or relationship that relates one variable (or set of variables) to another. In this case, we are dealing with transfer functions, which relate the input and output signals of a filter.

2. Derive the transfer function and determine the type of filter:
The transfer function, which is a function that relates the output to the input of a system, can be derived by analyzing the circuit using techniques such as Laplace transforms or phasor analysis. The transfer function typically takes the form H(s) = Y(s) / X(s), where Y(s) is the output and X(s) is the input. To derive the transfer function, we need to determine the relationship between the input and output signals for the filter.


Once you have derived the transfer function, the type of filter can be determined based on the mathematical form of the function. For example, a low-pass filter may have a transfer function that decreases as the frequency increases, while a high-pass filter may have a transfer function that increases as the frequency increases.

3. Determine the parameters requested in the textbook:
Using the derived transfer function, identify the parameters that the textbook asks for. These parameters may include cutoff frequency, gain, or other circuit component values. To calculate these parameters, you may need to rearrange the transfer function equation or use mathematical techniques such as solving for the roots or poles.

Remember, the specific steps to solve the problem will depend on the given problem in your textbook. The outlined steps above provide a general approach to help you understand and tackle this type of problem using the terms functions, function, and parameters.

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The probability of hitting an even number based on the information will be 2/5.

It should be noted that probability simply means the likelihood of the occurrence of an event.

It should be noted that based on the information, we can see that we have 2 even numbers out of 5 numbers

It should be noted that probability will be:

= Favorable outcome / Total outcome.

= 2 / 5

Therefore, the probability of hitting an even number based on the information his will be 2/5.

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Answer:

35.0

Step-by-step explanation:

14+21 equals 35 and then round to the nearest tenth of a degree and came up with 35.0.

The slopes and y-intercept of a graph are two key components of the equation that describes the relationship between two variables.

The slope of a graph is the measure of how steeply the line is rising or falling. It is calculated by dividing the change in the y-axis by the change in the x-axis between two points on the line. A positive slope indicates that the line is rising, while a negative slope indicates that the line is falling.

The y-intercept of a graph is the point where the line crosses the y-axis. It is the value of y when x=0. The y-intercept is a fixed point on the line and is used to help determine the equation of the line.

Together, the slope and y-intercept of a graph can be used to write an equation in slope-intercept form, which is y=mx+b, where m is the slope and b is the y-intercept.

Answer:

31/20 = 1.55

1.6

The mean of on road accidents reported to the police for the days in December is 6.7

In a group of numbers, the mean is the average or most common value. It is a measure of central tendency of a probability distribution along the median and mode in statistics.

It is given in the question about the  information on road accidents reported to the police for the days in December.

Mid point of (0-5) = 2.5

Mid point of (6-10) =8

Mid point of (11-15)=13

Mid point of (16-20) = 18

Mean = (∑Midpoint * frequency )/ (∑ frequency)

\(\rm Mean = \dfrac{2.5\times18+8 \times4+13\times6+18\times3}{18+4+6+3}\\\\\\\rm Mean = \dfrac{209}{31}\\\)

Mean = 6.74

Mean = 6.7

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To find E[(Yi - Yn)^2], we can expand the expression and apply the properties of expectation.

Expanding the square term, we have: (Yi - Yn)^2 = Yi^2 - 2YiYn + Yn^2. Taking the expectation of both sides, we get: E[(Yi - Yn)^2] = E[Yi^2 - 2YiYn + Yn^2]. Using linearity of expectation, we can split the expectation into three separate terms: E[(Yi - Yn)^2] = E[Yi^2] - 2E[YiYn] + E[Yn^2]. Now, let's calculate each term separately: E[Yi^2]: Since Yi follows a normal distribution N(u + δi, σi^2), the expectation of Yi^2 can be calculated as: E[Yi^2] = Var(Yi) + (E[Yi])^2= σi^2 + (u + δi)^2. E[YiYn]:

Since the random variables Yi and Yn are independent, their covariance is zero: Cov(Yi, Yn) = 0.  Therefore, E[YiYn] = E[Yi] * E[Yn]= (u + δi) * (u + δn). E[Yn^2]: Similar to E[Yi^2], we can calculate E[Yn^2] as: E[Yn^2] = Var(Yn) + (E[Yn])^2 = σn^2 + (u + δn)^2. Now, substituting these values back into the original equation, we have : E[(Yi - Yn)^2] = (σi^2 + (u + δi)^2) - 2(u + δi)(u + δn) + (σn^2 + (u + δn)^2). Simplifying further, we get:

E[(Yi - Yn)^2] = σi^2 + (u + δi)^2 - 2(u + δi)(u + δn) + σn^2 + (u + δn)^2

= σi^2 + σn^2 + (u + δi)^2 - 2(u + δi)(u + δn) + (u + δn)^2.Expanding the square terms, we have: E[(Yi - Yn)^2] = σi^2 + σn^2 + u^2 + 2uδi + δi^2 - 2u^2 - 2uδi - 2uδn - 2δiδn + u^2 + 2uδn + δn^2 = σi^2 + σn^2 + δi^2 - 2δiδn + δn^2. Simplifying further, we obtain: E[(Yi - Yn)^2] = σi^2 + σn^2 + δi^2 - 2δiδn + δn^2. Therefore, E[(Yi - Yn)^2] can be expressed as the sum of the variances of Yi and Yn, along with the squares of their differences.

The proof assumes independence between Yi and Yn, and normally distributed random variables Yi with means u + δi and variances σi^2.

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The answer is:

\(\large\textbf{They aren't equivalent.}}\)

In-depth explanation:

To determine the answer to this problem, we will use one of the exponent properties:

\(\sf{x^{-m}=\dfrac{1}{x^m}}\)

And

\(\sf{\dfrac{1}{x^{-m}}=x^m}\)

Now we apply this to the problem.

What is 4⁻³ equal to? Well according to the property, it's equal to:

\(\sf{4^{-3}=\dfrac{1}{4^3}}\)

And this question asks us if 4⁻³ is the same as 1/4⁻3.

Well according to the calculations performed above, they're not equivalent.

Answer:

arithmetic sequence: 24, 42, 66, 90, 114; y = 24x - 30

geometric sequence: -54, 162, -486, 1458, -4374; y = -6(-3)^(x - 1)

Step-by-step explanation:

Arithmetic sequence:

-6, 18, ...

18 - (-6) = 24

18 + 24 = 42

42 + 24 = 66

66 + 24 = 90

90 + 24 = 114

y = -6 + 24(x - 1)

y = -6 + 24x - 24

y = 24x - 30

Geometric sequence:

-6, 18, ...

18/(-6) = -3

18 * (-3) = -54

-54 * (-3) = 162

162 * (-3) = -486

-486 * (-3) = 1458

1458 * (-3) = -4374

y = -6(-3)^(x - 1)

The next 5 terms in the arithmetic sequence are 42, 66, 90, 114, 138.

An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same. The general form an arithmetic sequence is aₙ=a+(n-1)d.

Given that, the first 2 terms of the sequence -6, 18,....

Here, a=-6 and common difference = 18-(-6) =24

So, the next 5 terms in the arithmetic sequence are

18+24=42, 42+24=66, 66+24=90, 90+24=114, 114+24=138

42, 66, 90, 114, 138

The function is aₙ= -6+(n-1)24

= -6+24n-24

= 24n-30

The next 5 terms in the geometric sequence are

Here, a=-6 and common ratio = 18/(-6) =-3

Now, 18×(-3)=-54, -54×(-3)=162, 162×(-3)=-486, -486×(-3)=1458, 1458×(-3)=-4374

The function is \(a_n=-6(-3)^{n-1}\)

Therefore, the next 5 terms in the arithmetic sequence are 42, 66, 90, 114, 138.

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To sketch the region enclosed by the curves y = cos(x) and y = sin(2x) for the interval 0 ≤ x ≤ 2, we can follow these steps:

1. Plot the graphs of the two functions separately on the given interval.

For y = cos(x):

- Start by marking key points on the graph: (0, 1), (π/2, 0), (π, -1), (3π/2, 0), (2π, 1).

- Connect the points smoothly to create a curve that oscillates between 1 and -1.

For y = sin(2x):

- Start by marking key points on the graph: (0, 0), (π/4, 1), (π/2, 0), (3π/4, -1), (π, 0), (5π/4, 1), (3π/2, 0), (7π/4, -1), (2π, 0).

- Connect the points smoothly to create a curve that oscillates between 1 and -1, but with twice the frequency of the cosine curve.

2. Identify the region enclosed by the curves.

- The region enclosed by the curves is the area between the two curves from x = 0 to x = 2.

3. Shade the region enclosed by the curves.

- Shade the area between the two curves on the interval 0 ≤ x ≤ 2.

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Based on the information given the unit price of the pairs of socks​ is $5.29.

Using this formula

Unit price=Costs price/Number of pairs of socks

Where:

Costs price=​$31.74

Number of pairs of socks=6

Let plug in the formula

Unit price=$31.74/6

Unit price=$5.29

Inconclusion the unit price of the pairs of socks​ is $5.29.

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From the stemplot, it can be taken that:

Both were very consistent home run hitters, due to the great amount of seasons with at least 20 home runs. Bonds had the biggest outlier, with a season of 73 home runs, while Aaron distribution was less spread.

-------------------------------

Thus, we can take that:

Both were very consistent home run hitters, due to the great amount of seasons with at least 20 home runs. Bonds had the biggest outlier, with a season of 73 home runs, while Aaron distribution was less spread.

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Answer:

6.6h

Step-by-step explanation: