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The correct statement among the given options is A. "Research cannot use both qualitative and quantitative methods in a study."

This statement is not correct because research can indeed use both qualitative and quantitative methods in a study. Qualitative research focuses on collecting and analyzing non-numerical data such as observations, interviews, and textual analysis to understand phenomena in depth. On the other hand, quantitative research involves collecting and analyzing numerical data to derive statistical conclusions and make generalizations.

Many research studies employ a mixed methods approach, which combines both qualitative and quantitative methods, to provide a comprehensive understanding of the research topic. By using both qualitative and quantitative data, researchers can gather rich insights and statistical evidence, allowing for a more comprehensive analysis and interpretation of their findings.

Therefore, option A is the statement that is not correct concerning qualitative and quantitative research.

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Answer:

£20 note, £5 note, 50p,50p,50p, 5p

Step-by-step explanation:

Liam buys some fruit for £26.55 by paying 2 notes of £20 and £5 and 3 coins of 50 cent and one coin of 5 cent.

Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, and the sum refers to the outcome of the operation.

Given:

Liam buys some fruit for £26.55.

He pays the exact amount using two notes and four coins.

So, possible notes are £1, £5, £10 and £20.

And the possible coins are 1¢, 5¢, 10¢, 25¢, 50¢, and £1.

So, through trial and error,

we get notes of £20 and £5.

And the coins are three coins of 50 cent and 1 coin of 5 cent.

The total amount = adding the amount of notes and coins.

£26.55 =  £20 + £5 + 3(50¢) + 5¢

Therefore, notes of £20 and £5 and the coins are three coins of 50 cent and 1 coin of 5 cent, Liam used.

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We can rewrite dz/du and dz/dv as: \(dz/du = (1 + u + 3ln(v))e^{(u+ln(v))} dz/dv = (3 + u + 3ln(v))e^{(u+ln(v))/v}\)

To find dz/du, we need to take the partial derivative of z with respect to u while treating v as a constant:

dz/du = (∂z/∂x)(∂x/∂u) + (∂z/∂y)(∂y/∂u)
     = (e^(x+y))(1+3y) + (x+3y)e^(x+y)
     = (x+4y)(e^(x+y))

To find dz/dv, we need to take the partial derivative of z with respect to v while treating u as a constant:

dz/dv = (∂z/∂x)(∂x/∂v) + (∂z/∂y)(∂y/∂v)
     = (e^(x+y))(3/(v)) + (x+3y)e^(x+y)
     = (x+3y+3)(e^(x+y))/(v)

Note that the domains of u and v must be such that x=u is defined and y=ln(v) is defined (i.e. u must be any real number and v must be greater than zero).
Hi! To find dz/du and dz/dv, we will first find the partial derivatives of z with respect to x and y, and then use the chain rule.

Given z = (x + 3y)e^(x+y), x = u, and y = ln(v).

First, let's find the partial derivatives of z with respect to x and y:

∂z/∂x \(= (1 + 3y)e^{(x+y)} + (x + 3y)e^{(x+y)}= (1 + x + 3y)e^{(x+y)}\)

∂z/∂y = (3e^(x+y)) + (x + 3y)e^(x+y) = (3 + x + 3y)e^(x+y)

Now, we'll find the partial derivatives of x and y with respect to u and v:

∂x/∂u = 1 (since x = u)

∂x/∂v = 0 (since x is independent of v)

∂y/∂u = 0 (since y is independent of u)

∂y/∂v = 1/v (since y = ln(v))

Now, using the chain rule, we can find dz/du and dz/dv:

dz/du = (∂z/∂x)(∂x/∂u) + (∂z/∂y)(∂y/∂u) = (1 + x + 3y)e^(x+y)(1) + (3 + x + 3y)e^(x+y)(0)

dz/du = (1 + x + 3y)e^(x+y)

dz/dv = (∂z/∂x)(∂x/∂v) + (∂z/∂y)(∂y/∂v) = (1 + x + 3y)e^(x+y)(0) + (3 + x + 3y)e^(x+y)(1/v)

dz/dv = (3 + x + 3y)e^(x+y)/v

Since x = u and y = ln(v), we can rewrite dz/du and dz/dv as:

dz/du = (1 + u + 3ln(v))e^(u+ln(v))

dz/dv = (3 + u + 3ln(v))e^(u+ln(v))/v

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Answer:

Equation

1.95+1.6m ≤ 22

If solved

m ≤ 12.53

Step-by-step explanation:

SO we know the initial fee is 1.95

and for every mile driven, its $1.6

And we know that Shelly can spend less then or exactly the price of 22.

We know that m is miles driven

So we can make an equation

1.95+1.6m ≤ 22

1.95 can’t change since initial fee

1.6*m becuase its 1.6 for every mile driven and since “m” miles were driven, we multiply that by 1.6

Now it can’t go over 22 but it could be less than 22.

So this equation makes sense

If we solve it, it would be about  m ≤ 12.53 miles

For the line segment AB with coordinates A( 4,5) and B(12, 9) divided by point P in the ratio AP : PB = 3 : 1 then coordinates of P are ( 10,8).

As given in the question,

Given:

Line segment AB with coordinates A( 4,5) and B(12, 9)

Line segment AB divided by point P in the ratio AP : PB = 3: 1

Let (x ,y) be the coordinates of point P .

Coordinates of A(4,5) = ( x₁, y₁)

B(12,9) = (x₂ , y₂)

Ratio m : n = 3 : 1

Coordinates of point P is given by:

x = (mx₂ + nx₁)/ ( m+ n)

  = [3(12) + 1(4)] / (3+1)

  = ( 36 +4)/ 4

  = 40 /4

  = 10

x = (my₂ + n y₁)/ ( m+ n)

  = [3(9) + 1(5)] / (3+1)

  = ( 27 +5)/ 4

  = 32/4

  = 8

P(x ,y) = P(10, 8)

Therefore, For the line segment AB with coordinates A( 4,5) and B(12, 9) divided by point P in the ratio AP : PB = 3 : 1 then coordinates of P are ( 10,8).

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Answer:

the 8 in the graph

Step-by-step explanation:

Based on the given information, the test statistic (t0) is -3.56, which indicates that the sample mean is 3.56 standard errors below the hypothesized population mean of 9 mobile apps.

The significance level (α) is 0.10, which means that the researcher has allowed for a 10% chance of rejecting the null hypothesis (H0) when it is actually true. The p-value is less than 0.01, which indicates that the probability of observing a sample mean at least as extreme as the one obtained, assuming the null hypothesis is true, is less than 1%. Therefore, we need to compare the p-value with the significance level. Since the p-value is less than the significance level, we reject the null hypothesis. This means that we have strong evidence to conclude that the average number of mobile apps on a person's cell phone is different than 9 mobile apps. Therefore, the correct answer is option d: Reject H0. There is strong evidence to conclude that the average number of mobile apps on a person's cell phone is different than 9 mobile apps.

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The mathematical expression y(x,t) = Asin(kx)sin(wt) provides a way to describe the behavior of a standing wave in terms of its amplitude, frequency, and location along the string.

At time t=0,

the standing wave can be mathematically expressed as

y(x,0) = Asin(kx)sin(w*0) = Asin(kx)sin(0) = 0.

This means that the displacement of the string is zero at time t=0.

However, it is important to note that this does not mean that the string is not moving at all. Rather, it means that the string is in a state of equilibrium at time t=0, with the maximum transverse displacement being A.

As time progresses, the standing wave will oscillate between the maximum positive and negative transverse displacement values, creating a pattern of nodes (points of zero displacements) and antinodes (points of maximum displacement).

The wave number k and angular frequency w are both constants that are dependent on the physical properties of the string and the conditions under which the wave is being produced.

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The correct theorem or definition that justifies the given statement for the diagram is; Definition of a Right angle Triangle

We are given that;

∠MRS ≅ ∠MRO

Now, what that means is that ∠MRS is congruent to ∠MRO. Thus, to understand this concept of equality or congruence, we can prove it since  from the given image, we see that;

m∠MRS = m∠MRO = 90°

Since they are both right angles then we can say that the correct theorem is the definition of a right angle triangle.

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The labor force participation rate for this year is 90.77%

The labor force participation rate (LFPR) is a measure of the percentage of the working-age population that is either employed or actively seeking employment. It is calculated by dividing the number of individuals in the labor force (those who are employed or unemployed and actively seeking work) by the total number of working-age adults and then multiplying by 100 to convert the result to a percentage.

In this scenario, there are 325 million working-age adults and 295 million individuals in the labor force. Dividing the number of individuals in the labor force by the total number of working-age adults gives us the proportion of the population that is currently in the labor force.

295 million / 325 million = 0.9077

Multiplying by 100 gives us the labor force participation rate

0.9077 x 100 = 90.77%

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Answer:

Step-by-step explanation:

Answer:

11259.5

Step-by-step explanation:

25×386+3219÷2

Multiply 25 and 386 to get 9650.

9650+3219/2

Convert 9650 to fraction 19300/2.

19300/2+3219/2

Since 19300/2 and 3219/2 have the same denominator, add them by adding their numerators.

19300+3219/2

Add 19300 and 3219 to get 22519.

22519/2

Divide 22519 by 2 to get 11259.5.

11259.5

The given point is (6, -7), and the vertical line passes through this point. So, the equation of the vertical line through (6, -7) is x = 6.

If the line is vertical, then the slope is undefined. If (6, -7) is a point on the line, then the equation of the line is x = 6. That's because a vertical line through a point has an x-coordinate that never varies, and (6, -7) has an x-coordinate of 6. So, the equation is x = 6. The form ax + by = c is for linear equations in two variables, where the coefficient of x is a, the coefficient of y is b, and the constant term is c.

In the case of a vertical line, the coefficient of y is 0, because the line doesn't have a slope. Therefore, there is no y-term in the equation. That leaves only the x-term, which has a coefficient of 1 and a constant term of 6, so the equation is x = 6.

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The probability of obtaining exactly 4 heads (or 4 tails) when tossing 16 coins simultaneously is approximately 0.0984, or 9.84%.

When tossing 16 coins simultaneously, the probability of getting 4 heads (or tails, as the probability is the same for both outcomes) can be calculated using the concept of binomial probability.

The formula for binomial probability is given by:

P(X=k) = (nCk) * p^k * q^(n-k)

Where:

P(X=k) is the probability of getting exactly k successes,

n is the total number of trials (in this case, the number of coins tossed),

k is the number of successful outcomes (in this case, 4 heads or 4 tails),

p is the probability of a single success (getting a head or a tail, which is 1/2 in this case),

q is the probability of a single failure (1 - p, which is also 1/2 in this case), and

nCk represents the number of combinations of n items taken k at a time.

Applying the formula to our scenario:

P(X=4) = (16C4) * (1/2)^4 * (1/2)^(16-4)

Using the binomial coefficient calculation:

(16C4) = 16! / (4! * (16-4)!)

= (16 * 15 * 14 * 13) / (4 * 3 * 2 * 1)

= 1820

Now, substituting the values into the formula:

P(X=4) = 1820 * (1/2)^4 * (1/2)^12

= 1820 * (1/2)^16

≈ 0.0984

Therefore, the probability of obtaining exactly 4 heads (or 4 tails) when tossing 16 coins simultaneously is approximately 0.0984, or 9.84%.

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Answer:

he is 1,305 feet below sea level

Step-by-step explanation:

805 + 500 = 1305 ft

he is 1,305 feet below sea level

Sum of all possible real values of xx = 20

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Probability that exactly 2 will end up being replaced under warranty is 0.14781.

The problem states that 20% are likely to need warranty service, and of the 20% that need repair, 40% are likely to need to be replaced. This implies that 8% of the total are likely to need warranty service and be replaced (.20)(.40)=0.08

Therefore, p=0.08

n=10

and x=2 then we have to put the values in the formula,

We now plug all of this into formula , then we get

b(x;n,p) = \(\left \{ {{n} \atop {x}} \right. }px(1-p) to the power n-x\\\)

and we get ,

So,

b(2;10,0.08) = (10 2)(0.08)²(1-0.08) to the power 10-2

=45(0.0064)(0.92)to the power 8≈0.14781

So, the probability is 0.14781

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Hey there!

The answer is D

We solve this by multiplying the exponents, and we get 15:

3 x 5 = 15

So, the answer is 2^15

Hope it helps and have a great day!

95%

Explanation: 19 x 5

Answer:

$6000

Step-by-step explanation:

So, we know that

$1500 = 25%

We find 1% by taking

1500 divided by 25% = $60

We have to find the 75% off by taking

60 times 75 = $4500

Then we have to find the original price by taking

4500 + 1500 = $6000

So, the original price is $6000

Answer:

$6000

Step-by-step explanation:

The total cost is 100%

The discount was 75%

then:

100% - 75% = 25%

The percentage paid was:

25%

then:

$1500 ⇒ 25%

$A ⇒ 100%

A = 1500*100/25 = 6000

A = $6000

Answer:

(a + b + 2c)(a² + 2ab + b² - 2ac - 2bc + 4c²)

Step-by-step explanation:

Given

(a + b)³ + 8c³ ← this is a sum of cubes and factors in general as

a³ + b³ = (a + b)(a² - ab + b²)

Thus

(a + b)³ + 8c³

= (a + b)³ + (2c)³

= (a + b + 2c)( (a + b)² - 2c(a + b) + (2c)² )

= (a + b + 2c)(a² + 2ab + b² - 2ac - 2bc + 4c²)

The equivalent values of option a, b, c and d are -7, 9/10, -8/5 and -8/5

Linear equations are equation that has a leading degree of 1.

If x is 2/5, y is -4, and z is -0.2, then:

a. x + y

Substituting the given values, we get:

2/5 + (-4) = -15/5 + (-20/5) = -35/5 = -7

Therefore, x + y = -7.

b. 2x - z

Substituting the given values, we get:

2(2/5) - (-0.2) = 4/5 + 2/10 = 8/10 + 1/10 = 9/10

Therefore, 2x - z = 9/10.

c. x + y + z

Substituting the given values, we get:

2/5 + (-4) + (-0.2) = -8/5

Therefore, x + y + z = -8/5.

d. y × x

Substituting the given values, we get:

(-4) × (2/5) = -8/5

Therefore, y × x = -8/5.

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Answer:

Step-by-step explanation:

A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10

Answer:

228 ft^2

Step-by-step explanation:

1/10 of the given dimensions are 9.5 ft by 8 ft by 3 ft.

The volume of the model is thus (9.5 ft)(8 ft)(3 ft) = 228 ft^2

A function that represents this situation of selling 3 duct tape wallet per day out of of 160 duct tapes wallets produced is

Information from the problem

You have made 160 duct tape wallets to sell

If you sell 3 each day

From the information we can deduce that

assuming amount left is y and the number of days x the  we have

y = 160 - 3x

Therefore we can say that the expression to represent the situation of selling 3 duct tape wallet per day is  y = 160 - 3x

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Step-by-step explanation:

1.452 * 10³ in ordinary number.

= 1.452 * 1000

= 1452

Hope it will help :)

The time it take riders to pass over the hill and reach ground level is 111.19 seconds .

Given :

the roller coaster's height expressed by the equation below;

h = -0.067t^2 + 7t + 50

where

t is the time in seconds

The driver will hit the ground at the point where h = 0

Substitute

-0.067t^2 + 7t + 50 = 0

Multiply through  by -1

0.067t^2 - 7t +-50 = 0

Factorize :

On factorizing, the positive value of "t" is 111.19 seconds

Hence the time it take riders to pass over the hill and reach ground level is 111.19 seconds

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Step-by-step explanation:

no. of outcomes

total no. of outcomes

Answer:

m1 = m5 = 70⁰

Type acute angle

Acute angles measure less than 90 degrees.

i think it is m1 = m5 = 70⁰?

The system of equations has infinite solutions, both equations represent the same line.

Here we have the following system of equations:

-3x+6y=12

2y=x+4

And we want to solve this by substitution, first, we can rewrite the first equation as:

-3x + 3*(2y) = 12

Now we can substitute the second equation 2y = x + 4 in the parenthesis, we will get:

-3x + 3*(x + 4) = 12

Now we can solve this for x.

-3x + 3x + 12 = 12

12 = 12

So this is true for any value of x, which means that both equations represent the same line (thus the system has infinite solutions).

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