in an independent-measures hypothesis test, what must be true if t = 0?then the following statement is correct a. The two population means must be equal. b. The two sample means must be equal c. The two sample variances must be equal

The expression sin(e^37) does not have a well-defined limit as x approaches 0 from the left side since the argument e^37 is not an angle and is a constant.

To find the limit of the function sin(e^37) as x approaches 0 from the left side, we need to evaluate the limit and analyze the behavior of the function near 0.

The expression sin(e^37) represents the sine of a very large number, approximately equal to 5.32048241 × 10^16. The sine function oscillates between -1 and 1 as the input increases, but it does so in a periodic manner.

As x approaches 0 from the left side (x < 0), the function sin(e^37x) will oscillate rapidly between -1 and 1. However, since the argument of the sine function (e^37) is an extremely large constant, the oscillations will occur at a much higher frequency.

To calculate the limit, we can directly evaluate the function at x = 0 from the left side.

sin(e^37 * 0) = sin(0) = 0.

Therefore, the limit of sin(e^37) as x approaches 0 from the left side is equal to 0.

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According to the question, the sum of the numerator and denominator is 5.

Let's represent the length of time in minutes that Anna, Bertram, Carli, and David can hold their breath as A, B, C, and D, respectively.

According to the given information, we have the following equations:

B + C + D = 3A          (Equation 1)

A + C + D = 4B          (Equation 2)

A + B + D = 2C          (Equation 3)

8A + 10B + 6C = \((\frac{2}{5})\) * 60   (Equation 4)

We can solve this system of equations to find the values of A, B, C, and D.

Let's start by simplifying Equation 4:

8A + 10B + 6C = 24

Next, we can use Equation 3 to express D in terms of A, B, and C:

D = 2C - A - B

Substituting this expression for D in Equations 1 and 2, we can rewrite them as:

B + C + (2C - A - B) = 3A

A + C + (2C - A - B) = 4B

Simplifying these equations, we get:

3C - A = 3A

3C - B = 3B

From these equations, we can deduce that A = C and B = 2C.

Substituting these values in Equation 4, we have:

8A + 10B + 6A = 24

14A + 10B = 24

Since B = 2C and A = C, we can rewrite the equation as:

14C + 20C = 24

34C = 24

C = \(\frac{24}{34}\)

= \(\frac{12}{17}\)

Now, substituting C = \(\frac{12}{17}\) in equations A = C and B = 2C, we find:

A = \(\frac{12}{17}\)

B = \(\frac{24}{17}\)

Finally, the length of time that David can hold his breath is D = 2C - A - B:

\(D = 2(\frac{12}{17}) - \frac{12}{17} - \frac{24}{17}\)

\(D = \frac{24}{17} - \frac{12}{17} - \frac{24}{17}\)

\(D=-\frac{12}{17}\)

The length of time that David can hold his breath is \(-\frac{12}{17}\) minutes.

The sum of the numerator and denominator of this fraction is \(-12 + 17 = 5\).

Therefore, the sum of the numerator and denominator is 5.

Please note that it is unusual to have a negative value for the length of time, so you may want to double-check the problem statement or verify the calculations to ensure accuracy.

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Answer:

960 ways

Step-by-step explanation:

Multiplication Principle:  if there are  n  ways to do one thing and  m  ways to do another, then there are  m x n ways to do both.

That can expand to include three things (or more).

8 x 10 x 12 = 960

Answer:

The answer is LP and QP, and PL and PQ.

Step-by-step explanation:

Do you want to know from where I got the answer?

I got this answer from an app called Gauthmath where I found the solution for it direct from the tutor, which is right in most cases. You can check the app at Play Store and App Store.

Hope this helps.

Step-by-step explanation:

Break it up into two trapezoids as shown

area = trap1 + trap2

      = 2 *   (7+3) / 2   + 3 *  ( 7 + 3) / 2 = 10 + 15 = 25 units^2

Answer:

[-2,infinitysymbol)

Step-by-step explanation:

If you have a graph to look at, the domain is like you are walking up and down the x-axis (which is actually not up/down but left/right) and you're stating where this graph exists.

If you walked all the way over to -10 and looked up or down, the graph just doesn't exist over there.

The graph exists from -2, including -2, so use the SQUARE bracket [.

On the right side there's an arrow on the graph so it keeps going forever. Thats infinitysymbol.

Always wrap a parenthesis ), around the infinity symbol.

Interval notation uses the [SQUARE] brackets or (parenthesis) and even though it looks like a point, its not. It means

[FromHere, ToHere) and answers the question, where is the graph?

Answer:

3/4 x 5/6 =  15/24 = 5/8 multiply the length and width.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

650000 = 10⁵x 6.5

Answer:

The answer is b.

Step-by-step explanation:

A number that represents the property of the sample is the statistics.

Statistics refer to that number that describes a particular property of a sample set of numbers. It is the common property shared by all the numbers of the sample set. It involves the collection of data and information and then categorizing them according to their properties and inferences.

'Mean and proportion' is mathematical calculations that can be carried out on statistic number sets.

Mean refers to the average of the number set that is provided to us. It is calculated by adding the numbers and dividing them by the number of terms.

Proportion refers to the fraction of the number set according to some characteristics shared by the numbers.

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The rate at which the gas powered pump deliver water is 160.9 litres per seconds

The gas powered water pump delivers 42.50 gallons of water per minute.

Therefore,

1 gallon = 3.78541 litres

42.50 gallons = ?

cross multiply

volume = 42.50 × 3.78541 = 160.879925 litres

Hence,

60 seconds = 1 minutes

1 second = ?

time = 1 / 60 = 0.01666666666 seconds

Hence,

rate = 160.9 litres per second

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Answer:

$105

Step-by-step explanation:

91 divided by 13 times 15

Answer:

$105

Step-by-step explanation:

She sold 91 cupcakes with 13 in a box... so she sold (91/13)=7 boxes

7 boxes sold at $15 each

7 x 15=105 so she receive $105

The required function when the parent function is stretched comes to be \(f(x)=x^{3} +4\).

The parent function is:

\(f(x)=x^3\)

If a function f(x) is vertically translated by k units f(x) becomes f(x)+k where k is positive.

Given function \(f(x)=x^3\) is vertically shifted by 4 units

So, f(x) will become f(x)+4

\(f(x)+4 = x^{3} +4\)

So, the required function is \(f(x)=x^{3} +4\)

Therefore, the required function when the parent function is stretched comes to be \(f(x)=x^{3} +4\).

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Answer:

A

Step-by-step explanation:

edge, 2022

Answer:

x=35

Step-by-step explanation:

7x+55≥300

    -55 -55

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

7x≥245

now divide both sides by 7

x=35

(a) Acoustic Impedance calculation: Upper sandstone layer - 2.40 Mg/m³ × 3300 m/s, Lower sandstone layer - 2.64 Mg/m³ × 3000 m/s.

(b) Reflection coefficient calculation: R = (2.64 Mg/m³ × 3000 m/s - 2.40 Mg/m³ × 3300 m/s) / (2.64 Mg/m³ × 3000 m/s + 2.40 Mg/m³ × 3300 m/s).

(c) Seismogram response: The response depends on the reflection coefficient, with a high value indicating a strong reflection and a low value indicating a weak reflection.

(a) To calculate the acoustic impedance for each layer, we use the formula:

Acoustic Impedance (Z) = Density (ρ) × Velocity (V)

For the upper sandstone layer:

Density (ρ1) = 2.40 Mg/m³

Velocity (V1) = 3300 m/s

Acoustic Impedance (Z1) = ρ1 × V1 = 2.40 Mg/m³ × 3300 m/s

For the lower sandstone layer:

Density (ρ2) = 2.64 Mg/m³

Velocity (V2) = 3000 m/s

Acoustic Impedance (Z2) = ρ2 × V2 = 2.64 Mg/m³ × 3000 m/s

(b) To calculate the reflection coefficient for the boundary between the layers, we use the formula:

Reflection Coefficient (R) = (Z2 - Z1) / (Z2 + Z1)

Substituting the values:

R = (Z2 - Z1) / (Z2 + Z1) = (2.64 Mg/m³ × 3000 m/s - 2.40 Mg/m³ × 3300 m/s) / (2.64 Mg/m³ × 3000 m/s + 2.40 Mg/m³ × 3300 m/s)

(c) The response on a seismogram at this interface would depend on the reflection coefficient. If the reflection coefficient is close to 1, it indicates a strong reflection, resulting in a prominent seismic event on the seismogram. If the reflection coefficient is close to 0, it indicates a weak reflection, resulting in a less noticeable event on the seismogram.

The correct question should be :

Assume that the upper sandstone has a velocity of 3300 m/s and a density of 2.40Mg/m  and assume that the lower sandstone has a velocity of 3000 m/s and a density of 2.64 Mg/m

a. Calculate the Acoustic Impedance for each layer (show your work)

b. Calculate the reflection coefficient for the boundary between the layers (show your work)

c. What kind of response would you expect on a seismogram at this interface

Part 1: Answer the following questions:

1. Below are the range of seismic velocities and densities from two sandstone layers:

A. Assume that the upper sandstone has a velocity of 2000 m/s and a density of 2.05Mg/m and assume that the lower limestone has a velocity of 6000 m/s and a density of 2.80 Mg/m

a. Calculate the Acoustic Impedance for each layer

b. Calculate the reflection coefficient for the boundary between the layers

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It is important in the definition of logarithm that the base of the logarithm does not equal 1 because log base 1 is undefined and leads to mathematical inconsistencies.

The logarithm of a number is defined as the exponent to which a specific base must be raised to obtain that number. However, when the base of the logarithm is equal to 1, the definition becomes problematic.

If the base of the logarithm is 1, we have log₁(x) = y, where 1^y = x. Since any number raised to the power of 0 equals 1, we would have 1^0 = x, which implies that x equals 1 for all values of x. This creates a contradiction, as it would suggest that all numbers are equal to 1, which is not true.

To avoid this inconsistency, the definition of logarithms excludes the base 1. By excluding 1 as a possible base, logarithmic functions maintain their essential properties, such as the logarithmic identities and the relationship between exponentiation and logarithms.

Therefore, the restriction that the base of the logarithm cannot equal 1 is necessary to ensure mathematical consistency and clarity in the definition of logarithmic functions. It helps prevent mathematical contradictions and allows logarithms to be defined in a meaningful and consistent manner.

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Answer:

20% of 24cm=20/100×24=4.8cm

Answer:

4.8cm

Step-by-step explanation:

24x20%=20×0.20=4.8cm

Answer:

the answer is x=55

Step-by-step explanation:

180=90+35+x

subtract 90 from 180

90=35+x

subtract 35 from 90

55=x

Answer: y=  2/3 + -8

Step-by-step explanation: Put into slope intercept form

The  equation of the line with a slope of 2/3  and y -intercept of -8 is y = 2/3 x -

8

The slope intercept equation is represented as follows:

y = mx + b

where

m = slope

b = y-intercept

Therefore,

The equation of the line has a slope(m) of 2 / 3 and y-intercept of  -8.

The equation can be represented as follows:

y = 2/3 x - 8

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The Answer Is 245.18

Answer:

The answer is -x^2-4x

Step-by-step explanation:

Answer:

thursday

Step-by-step explanation:

so the complete 100% accurate answer would be 0, youd have to pick the closest to that which is -2.

Answer:

The answer is Thursday -2.

Step-by-step explanation:

on edge

Answer:

c

Step-by-step explanation:

Answer:

x = 42

Step-by-step explanation:

i hope this helps :)

The correct option is a) online by $0.04.

The better deal is online, by $0.04 will save per diaper.

How do I solve for x in a equation?

Apply arithmetic operations to both sides of the equation to bring the variable to one side and all other values to the other side in order to find the value of x. To determine the outcome, simplify the values.

Cost of 56 diapers at Babies-R-Us = $28

Cost of 1 diaper at Babies-R-Us = \(\frac{28}{56}\)

                                                    =  0.5

Cost of 112 diapers online = $52

Cost of 1 diaper online = \(\frac{52}{112}\)

                                      = 0.46

So, the cost of diapers online is cheaper than that at Babies-R-Us.

Difference between 1 diaper in both case = $0.5- $0.46= $0.04

Online deal is better than and you will save by $0.04 per diaper.

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The variance of Y is -4.b)  and b) RY'(0) = [1 / 1] * E(Y) = E(Y) and RY''(0) = MY''(0) - E(Y)^2. The first derivative of RY(t) represents the mean of Y and the second derivative of RY(t) represents the variance of Y. The function RY(t) is also known as the cumulant generating function of Y.

a) Given mgf of the random variable Y is mY(t) = 1 - 2t, for -1 < t < 1.

The moment-generating function of Y is given by:() = [^()]

The first derivative of the moment-generating function is′() = [^()]

Differentiating mY(t) with respect to t, we have:mY'(t) = -2Multiplying by t, we have tmY'(t) = -2t.

Now, substituting t = 0 in above equation, we get:tmY'(t)|_(t=0) = -0So, E(Y) = mY'(0) = -0.

To calculate the variance of Y, we need to find mY''(t) asV(Y) = mY''(0) - [mY'(0)]^2

Substituting t = 0 in mY(t) = 1 - 2t, we get:mY(0) = 1 - 2(0) = 1

Again differentiating the function mY(t), we get:mY''(t) = -4

Now substituting t = 0 in the above equation, we get: mY''(0) = -4

So, the variance of Y is:V(Y) = -4 - (-0)^2 = -4.

Hence, the variance of Y is -4.b)

b) Given a random variable Y and mY(t) its mgf. RY(t) = log(MY(t)).

The first derivative of RY(t) is:RY'(t) = [1 / MY(t)] * MY'(t)

Putting t = 0 in above equation, we get: RY'(0) = [1 / MY(0)] * MY'(0)

Here, MY(0) = 1, MY'(0) = E(Y).

Hence, RY'(0) = [1 / 1] * E(Y) = E(Y)

The second derivative of RY(t) is: RY''(t) = [MY(t)MY''(t) - MY'(t)^2] / MY(t)^2

Putting t = 0 in above equation, we get: RY''(0) = [MY(0)MY''(0) - MY'(0)^2] / MY(0)^2= [MY''(0) - E(Y)^2] / 1

Therefore, RY''(0) = MY''(0) - E(Y)^2

Thus, the first derivative of RY(t) represents the mean of Y and the second derivative of RY(t) represents the variance of Y. The function RY(t) is also known as the cumulant generating function of Y.

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Answer:

p=$16.5

Step-by-step explanation:

By using the distributive Property, you can say:

5p-15=63

Then add 15 on both sides to make the equation balanced:

5p=78

Then divide by 5:

p=78/5=$16.5

A kilogram is a unit of mass in the metric system and is often used to measure the weight of food items. One kilogram is equivalent to 35.27 ounces. To determine how many ounces of peanut butter you used for your sandwich, you need to convert the mass in kilograms to ounces.

In this case, the jar contains 1.41 kg of peanut butter. To find the amount of peanut butter you used, you multiply the total amount by the percentage of the peanut butter you used. In this case, 8.0% of 1.41 kg is 0.11 kg of peanut butter.

Finally, you convert the 0.11 kg of peanut butter to ounces using the conversion factor of 35.27 ounces per kilogram. So 0.11 kg * 35.27 oz/kg = 3.88 ounces of peanut butter.

This answer is expressed to two significant figures because the original mass of the peanut butter is given to two significant figures (1.41 kg) and the percentage of peanut butter used is also given to two significant figures (8.0%).

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Answer: you would look for y and then once you have y you put it into desemos which is a graphing app and then you get your line

Step-by-step explanation: you would do +3x on both sides with out doing it to the 4y and the. You would get 4y =23+3x and then you divide everything by 4 even the 4y and then you would get y= 23/4 + 3/4x and then you put it into desemos and it will give you it graphed