Which of the following statements is an example of a null hypothesis? * 2 points The average GWA of resident students is higher than the average GWA of commuter students. The average GWA of resident students is not equal the average GWA of commuter students. There is no difference between the average GWA of resident students and the average GWA of commuter students, and if there is, it is due to chance. The average GWA of resident students is lower than the average GWA of commuter students. There is a difference between the average GWA of resident students and the average GWA of commuter students.

Answer:

80

Step-by-step explanation:

3(6+9)+36-1

3(15)+36-1

45+36-1

81-1

80

We know that A'B'C' is a rotation of the triangle ABC 90 decrees about the origin.

We remember that in a rotation, the lengths of the segments don't change, and thus, the measure of the segments are:

This means that the length of A'C' is 5 units, as this is the length of the segment AC.

Answer:

5 units

Step-by-step explanation:

I got it right on the test.

Answer:

4+2+$36.75= $42.75

Step-by-step explanation:

4+2+36.75

6+36.75

42.75

Alternative Form

171/4,42 3/4

Answer:

4+2+$36.75=$42.75.

Step-by-step explanation:

6+36.75=42.75

based on the given sample data, there is evidence to suggest that the true population mean number of hours worked per week for white-collar employees is more than 40 hours.

To determine if there is evidence to suggest that the true population mean number of hours worked per week is more than 40 hours, we can conduct a hypothesis test. We'll use a one-sample t-test since the population standard deviation is unknown, and the sample size is small (n = 25).

Let's set up the null and alternative hypotheses:

Null hypothesis (H0): The true population mean number of hours worked per week is 40 hours or less.

Alternative hypothesis (Ha): The true population mean number of hours worked per week is more than 40 hours.

We'll use a significance level (alpha) of 0.05.

Next, we calculate the test statistic (t-value) using the sample mean, sample standard deviation, sample size, and the hypothesized population mean (40 hours) under the null hypothesis:

t = (sample mean - hypothesized mean) / (sample standard deviation / sqrt(sample size))

t = (44 - 40) / (8 / sqrt(25))

t = 4 / (8 / 5)

t = 2.5

We then compare the calculated t-value with the critical t-value from the t-distribution table at the given significance level and degrees of freedom (n - 1). With 24 degrees of freedom, a one-tailed test, and a significance level of 0.05, the critical t-value is approximately 1.711.

Since the calculated t-value (2.5) is greater than the critical t-value (1.711), we can reject the null hypothesis. There is evidence to suggest that the true population mean number of hours worked per week is more than 40 hours.

In conclusion, based on the given sample data, there is evidence to suggest that the true population mean number of hours worked per week for white-collar employees is more than 40 hours.

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The effective mass on the opposite end of the lever is 4 kg and distance is given, which is incorrect as option D is 25 kg otherwise all option is correct .

In the given scenario, a 2 kg mass is placed at the end of a lever, which is 20 cm from the pivoting point. If the mass is transferred to the other side of the lever, which is 10 cm from the pivot,

Let's find out.The effective mass on the opposite end of the lever can be found using the following formula:

= Mass × distance of its center of gravity from the pivot

Let M be the effective mass that we have to find. Then, we have:

2 kg × 20 cm

= M × 10 cm40 cm

= 10 M4

= MM

= 4

Therefore, the effective mass is 4 kg. Hence, option D. 25 kg is incorrect as the effective mass is 4 kg.

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Answer:

First, we have to determine the slope as we're provided with two points. If there are two points, you can determine the slope of the line using: \(\frac{y_2-y_1}{x_2-x_1}\)

It looks like the coordinates provided are (1,1) and (3,-2)

So now, we have to plug these values into the equation provided, which should look like: \(\frac{-2-1}{3-1} = -\frac{3}{2}\)

Our slope is equal to -3/2.

The condition for a portfolio to be self-financing in the Black-Scholes model is that the portfolio's value does not change due to trading (buying or selling) costs or external cash flows. In other words, the portfolio's value remains constant over time, excluding the effects of the underlying assets' price changes.

For the given portfolio, a = -t (units of the stock) and b = S_t (units of the savings account). To determine if this portfolio is self-financing, we need to check if its value remains constant over time. Using Ito's lemma, we can express the value of the portfolio as:

d(Vt) = a_t * d(St) + b_t * d(Ct)

Substituting the values of a and b, we have:

d(Vt) = -t * (2St * dt + 4St * dBt) + S_t * d(t)

Simplifying this expression, we get:

d(Vt) = -2tSt * dt - 4tSt * dBt + S_t * dt

The portfolio is self-financing if d(Vt) = 0. However, in this case, we can see that the terms involving dBt do not cancel out, indicating that the portfolio is not self-financing.

Girsanov's theorem states that under certain conditions, it is possible to transform a Brownian motion under the real-world measure into a Brownian motion under an equivalent martingale measure (EMM). The EMM is a probability measure under which the discounted asset prices are martingales. By applying Girsanov's theorem or alternative techniques, we can derive the expression for St, the stock price, under the EMM. Unfortunately, without further information or specifications, it is not possible to provide the specific expression in this case.

To determine the price Ct of the call option on the stock at time t ≤ 2, with an exercise price K = 1 and expiration date T = 2, additional information or an appropriate result is required. Without specific details, such as the volatility of the stock or the risk-free interest rate, it is not possible to provide an expression for Ct.

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The algebraic expression that can be represented by the statement is -5x/2 = 10

From the question, we have the following statement that can be used in our computation:

The negation of the product of five times a number divided by two is ten

Represent the variable with y

So, we have the following representation

The negation of the product of five times x divided by two is ten

Express the product as an actual product

So, we have the following representation

The negation of 5x divided by two is ten

Express the quotient as an actual quotient

So, we have the following representation

The negation of the 5x/2 is ten

Lastly, we have

-5x/2 = 10

Hence, the expression is -5x/2 = 10

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Answer:

Finding the equation using the two points is: y=3x-8

The slope is: m=3

The slope and y-intercept is: 3, (0,-8)

Step-by-step explanation:

I put all of these answers because i was basically fully confused by the wording of this question.. Sorry.

The length of t, to the nearest tenth of an inch, is approximately 85.6 inches.

To determine the length of t in triangle TUV, we can use the law of sines.

The law of sines states that the ratio of the length of a side of a triangle to the sine of its opposite angle is constant.

In this case, we have:

- u = 380 inches (the length of side u)

- m∠V = 151° (the measure of angle V)

- m∠T = 25° (the measure of angle T)

We need to find the length of side t.

Using the law of sines, we can set up the equation;

sin(25°) / t = sin(151°) / 380

To solve for t, we can cross multiply and then divide by sin(25°):

t = (380 x sin(25°)) / sin(151°)

t ≈ 85.6 inches

Therefore, the length of t, to the nearest tenth of an inch, is approximately 85.6 inches.

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Answer:

x = 1.5

Step-by-step explanation:

Here, we want to solve for the value of x

By using the tangent from the same point theorem, we have it that;

lh^2 = lj * lk

1^2 = (0.5) * (0.5 + x)

1 = 0.5x + 0.25

1-0.25 = 0.5x

0.5x = 0.75

x = 0.75/0.5

x = 1.5

Answer:B have it ✅

Step-by-step explanation:

The value of x for the given equilateral triangle is 28.

A triangle having all sides equal and each angle measures 60° is called

an equilateral triangle.

Given that, the measure of each angle in an equilateral triangle is represented by the expression 2x + 4.

We know that each angle in an equilateral triangle measures 60°

Therefore, 2x+4= 60

2x = 56

x = 28

Hence, the value of x is 28.

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The fraction of the given whole pan brownies each child will get is equivalent to (1/4), 0.25, 25/100 and other equivalent fractions.

If four children are going to share a pan of brownies equally,

Divide the whole pan into four equal parts.

This means each child will get one-fourth (1/4) of the pan of brownies.

Alternatively, we can represent the fractions in different ways

That are equivalent to one-fourth, such as,

1 / 4 is equivalent to 0.25 as a decimal.

1 / 4 is equivalent to  25/100 as a percentage or 25%.

1 / 4 is equivalent to  2/8 or 4/16 or 8/32 as equivalent fractions.

Therefore, each child will get one-fourth (1/4), 0.25, 25/100, or any equivalent fraction of the whole pan of brownies.

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The value of the account at the end of three years of the growth factor z will be $1350.684.

According to the growth factor z, the value of the account after three years is,

Given r, is the yearly interest rate that is compounded by a growth factor z= 1 +r.  $500 at the end of each year.

The initial year's deposit is in the amount of $500.

Both the next year and the third-year deposits are made correspondingly, $200 and $600.

As a result, the account will be worth at the end of the three years is:

$(500 x3 + 200 x2 + 600 x) ---(1)

If r= 2%, then x=(1 + 2/100), , substituting the value of x in (1)

The sum will then be:

$(500(1 + 2/100)3 + 200 (1 + 2/100)2 + 600(1+2/100))

Solving the above equation, the amount will be equal to $1350.684.

Hence, The value of the account at the end of three years of the growth factor z will be $1350.684.

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Answer:

r=2.5

Step-by-step explanation:

with a diamter of 5 you divied it by 2 to get the answer which would be 2.5

1. Price constraint: Pc = $8

2. when Pc = $8, C ≈ 10.22, and S ≈ 40.88.

Price constraint: Pc = $9

3. when Pc = $9, C = 9.2, and S = 36.8.

Price constraint: Pc = $2

4. When Pc = $2, C ≈ 30.67, and S ≈ 122.68.

To graph Susan's consumption curve and budget constraints, we'll use the given information:

The price of a cup of coffee is denoted as Pc = $8.

The price of a spoonful of sugar is denoted as Ps = $0.25.

Susan's budget for coffee and sugar combined is $92.

Let's start by plotting the consumption curve for prices re = Sl, rc = 32, and rc = So. We'll calculate the number of cups of coffee (C) and the number of spoonfuls of sugar (S) corresponding to each price point.

Price constraint: Pc = $8

Since Susan spends exactly four spoonfuls of sugar (S) for each cup of coffee (C), we can express S in terms of C: S = 4C.

Using the budget constraint equation, we have: 8C + 0.25S = 92.

Substituting S = 4C into the equation: 8C + 0.25(4C) = 92.

Simplifying the equation: 8C + C = 92.

Combining like terms: 9C = 92.

Solving for C: C = 92 / 9, approximately 10.22.

Therefore, when Pc = $8, C ≈ 10.22, and S ≈ 40.88.

Price constraint: Pc = $9

Using the same approach, we substitute the new price into the equation.

9C + 0.25(4C) = 92.

Simplifying the equation: 9C + C = 92.

Combining like terms: 10C = 92.

Solving for C: C = 92 / 10, which is exactly 9.2.

Therefore, when Pc = $9, C = 9.2, and S = 36.8.

Price constraint: Pc = $2

Applying the same method:

2C + 0.25(4C) = 92.

Simplifying the equation: 2C + C = 92.

Combining like terms: 3C = 92.

Solving for C: C = 92 / 3, approximately 30.67.

Therefore, when Pc = $2, C ≈ 30.67, and S ≈ 122.68.

Now, we can plot these points on a graph with the number of cups of coffee (C) on the horizontal axis and the number of spoonfuls of sugar (S) on the vertical axis:

Consumption curve: Connect the three plotted points (10.22, 40.88), (9.2, 36.8), and (30.67, 122.68).

Budget constraint for Pc = $8: Plot the point (10.22, 40.88) and draw a straight line from the origin to that point.

Budget constraint for Pc = $9: Plot the point (9.2, 36.8) and draw a line from the origin to that point.

Budget constraint for Pc = $2: Plot the point (30.67, 122.68) and draw a line from the origin to that point.

Make sure to label the axes and the curves accurately.

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Answer:

Step-by-step explanation:

h

(

x

)

=

x

2

−

8

x

+

16

Rewrite the equation in term of

x

and

y

.

h

(

x

)

=

x

2

−

8

x

+

16

Rewrite the equation in vertex form.

Tap for more steps...

y

=

(

x

−

4

)

2

+

0

Use the vertex form,

y

=

a

(

x

−

h

)

2

+

k

, to determine the values of

a

,

h

, and

k

.

a

=

1

h

=

4

k

=

0

Step-by-step explanation:

The line representing the equation 7x1 + 4x2 = 28 goes through the points (4,0) and (0,7).

Answer:

To answer the question, we first need to understand the basic principles of arithmetic and temperature measurement.

Temperature is a measure of the average kinetic energy of the particles in an object or system and can be measured in several different scales, including Celsius (°C), Fahrenheit (°F), and Kelvin (K). In this case, we are dealing with temperatures measured in degrees Celsius.

The Celsius scale is a temperature scale used by the International System of Units (SI). As an SI derived unit, it is used worldwide. In the United States, however, the Fahrenheit scale is more frequently used. The Celsius scale is based on 0°C for the freezing point of water and 100°C for the boiling point of water at 1 atmosphere of pressure.

In this problem, we are given that the high temperature on Monday was -2°C. We are then told that on Tuesday it was five degrees warmer.

To find out what the high temperature was on Tuesday, we need to add five degrees to Monday's high temperature. This is a simple arithmetic operation: addition. Addition is one of the four basic operations in elementary arithmetic (the others being subtraction, multiplication, and division).

So, if we add 5°C to -2°C, we get:

-2°C + 5°C = 3°C

Therefore, the high temperature on Tuesday was 3°C.

Answer:

7 - 2m can be translated to "7 minus two times m" or "the difference between 7 and twice m".

3(m + 2) = 15 can be translated to "three times the sum of m and 2 is equal to 15" or "the product of 3 and the sum of m and 2 is 15".

To solve the equation, we can start by distributing the 3 on the left side:

3(m + 2) = 15

3m + 6 = 15

Then, we can subtract 6 from both sides:

3m + 6 - 6 = 15 - 6

3m = 9

Finally, we can divide both sides by 3:

3m/3 = 9/3

m = 3

Therefore, the solution to the equation 3(m + 2) = 15 is m = 3.

5m - m(2 - m) can be translated to "5m minus the product of m and the difference between 2 and m" or "the difference between 5m and m times the quantity 2 minus m".

To simplify the expression, we can use the distributive property to expand the second term:

5m - m(2 - m) = 5m - 2m + m^2 = m^2 + 3m

Therefore, the simplified expression is m^2 + 3m.

Answer:

Welcome to Gboard clipboard, any text that you copy will be saved here.Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.Tap on a clip to paste it in the text box.

The product is positive since \(a^{(72)}\) is positive (without a question control), the division is negative, and 'a' is negative.

Let's analyze the expression step by step:

\(a^{72}:\) This term talks to a raised to the control of 72.

left(dfrac{-3}{7}right): This term talks to -3/7, a division with a negative respect.

a: This term talks to the variable "a".

To select the sign of the expression, we have to consider the person parts:

\(a^{72}\) can be a positive number since any positive base raised to an without-a-question control comes around in a positive respect.

left(dfrac{-3}{7}right) may be a negative division.

a may be a negative number concurring with the address.

By and by, let's put it all together:

a^{72} cdot left(dfrac{-3}{7}right) cdot a

Since a^{72} is positive, left(dfrac{-3}{7}right) is negative, and "a" is negative, the extraordinary product will be positive:

Positive number\((a^{72})\) × Negative number left(dfrac{-3}{7}right) × Negative number (a) = Positive number.

In this way, the expression will result in positive respect when "a" may be a negative number.

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The time-mean speed for the traffic stream that passes an observer standing at a point on a three-lane race track can be determined by collecting spot speed data for all vehicles that pass your observation point in one hour and calculating the average of all the spot speeds collected.

The time-mean speed is a statistical measure used in traffic engineering to quantify the typical speed of vehicles on a given roadway segment. It is defined as the average speed of all the vehicles passing a specific point on the road over a specified period of time. The time-mean speed is typically calculated by taking the average of all the spot speeds collected for a given time period (e.g., one hour).

In the given scenario, the observer is standing at a point on a three-lane race track, where vehicles in lane 1 are traveling at 40 mi/h, vehicles in lane 2 are traveling at 50 mi/h, and vehicles in lane 3 are traveling at 70 mi/h. The constant spacing between each vehicle is 0.5 miles. If the observer collects spot speed data for all the vehicles that pass their observation point in one hour, the time-mean speed for the traffic stream can be calculated by taking the average of all the spot speeds collected. This calculation can be done using the following formula: Time-mean speed = (total distance traveled by all vehicles passing the observer) / (total time taken by all vehicles passing the observer)Assuming that all the vehicles maintain their speeds and the spacing between them is constant, the total distance traveled by all vehicles in one hour can be calculated as follows: Total distance traveled = (40 mi/h x 0.5 mi) + (50 mi/h x 0.5 mi) + (70 mi/h x 0.5 mi) x (number of vehicles passing the observer in one hour)The total time taken by all vehicles passing the observer can be calculated as follows: Total time taken = (0.5 mi) / (40 mi/h) + (0.5 mi) / (50 mi/h) + (0.5 mi) / (70 mi/h) x (number of vehicles passing the observer in one hour)

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Answer:

\(6(a - 2) = 6a - 12\)

Answer: 0.10175

Step-by-step explanation:

First, bring the decimal points to the right for both numbers, to be a total of 5 decimal points to the right. Then, with the numbers 25 and 407, multiply them, and we get 10175. Then, we must bring the 5 decimal points back, and we end up with 0.10175.

Answer: 0.10

Step-by-step explanation:

on time4llearning

Given:

The objective is to find the explain the slope of a graph with an example.

The slope of a graph can be identified by the formula,

Here, x and y represents the any two coordinates of a graph.

Consider a graph of straight line with two coordinates.

Consider,

Now substitute the values in the formula of slope.

Hence, the slope of the graph is 1/2.

Answer: 0.71

Step-by-step explanation:

Since we have just two flavors, the probability of a cup drink being cola flavour will be calculated below:

P(R) + P(C) = 1

0.29 + P(C) = 1

P(C) = 1 - 0.29

P(C) = 0.71

Therefore, the probability of a cup drink being cola flavour is 0.71.

a. The probability of drawing a red ball from Box 1 is 30%.

b. If a red ball is drawn from Box 1, the probability of drawing another red ball from Box 2 on the second round is 60%.

c. If the first draw from Box 1 was black, the conditional probability of drawing a red ball from Box 3 on the second draw is 80%.

d. The probability of drawing two red balls at both draws, without any prior information, is 46%.

e. The probability of drawing a red ball at the first draw and a black ball at the second draw, without any prior information, is 21%.

a. The probability of drawing a red ball from Box 1 can be calculated by dividing the number of red balls in Box 1 by the total number of balls in Box 1. Therefore, the probability is 3/(3+7) = 3/10 = 0.3 or 30%.

b. Since a red ball was drawn from Box 1, we only consider the balls in Box 2. The probability of drawing a red ball from Box 2 is 6/(6+4) = 6/10 = 0.6 or 60%. Therefore, the probability of drawing another red ball when the first ball drawn from Box 1 is red is 60%.

c. If the first draw from Box 1 was black, we only consider the balls in Box 3. The probability of drawing a red ball from Box 3 is 8/(8+2) = 8/10 = 0.8 or 80%. Therefore, the conditional probability of drawing a red ball from Box 3 when the first ball drawn from Box 1 was black is 80%.

d. Before any draws, the probability of drawing two red balls at both draws can be calculated by multiplying the probabilities of drawing a red ball from Box 1 and a red ball from Box 2. Therefore, the probability is 0.3 * 0.6 = 0.18 or 18%. However, since there are two possible scenarios (drawing red balls from Box 1 and Box 2, or drawing red balls from Box 2 and Box 1), we double the probability to obtain 36%. Adding the individual probabilities of each scenario gives a total probability of 36% + 10% = 46%.

e. Before any draws, the probability of drawing a red ball at the first draw and a black ball at the second draw can be calculated by multiplying the probability of drawing a red ball from Box 1 and the probability of drawing a black ball from Box 2 or Box 3. The probability of drawing a red ball from Box 1 is 0.3, and the probability of drawing a black ball from Box 2 or Box 3 is (7/10) + (2/10) = 0.9. Therefore, the probability is 0.3 * 0.9 = 0.27 or 27%. However, since there are two possible scenarios (drawing a red ball from Box 1 and a black ball from Box 2 or drawing a red ball from Box 1 and a black ball from Box 3), we double the probability to obtain 54%. Adding the individual probabilities of each scenario gives a total probability of 54% + 10% = 64%.

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A photo of a woman standing between two long rows of sewing machines in a factory. The factory owners relied on skilled workers to run the machines. Thus, option b is correct.

The manufacturing system's key advantages were lower costs for the business and increased worker productivity. The factory administration had direct control over the workers, allowing for regular monitoring of their output. Resources may be used more efficiently if they are shared across several employees.

First, equipment hastened the production of goods. This is because a machine might perform routine tasks skillfully and dependably. The ability of equipment to decrease the number of people required to complete a task is its second advantage. They were able to avoid paying employees by doing this, which allowed them to save money.

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The complete question is-

The photo shows a woman watching a row of machines in a factory. A photo of a woman standing between two long rows of sewing machines in a factory. what advantages did machinery provide for factory owners?

a. machines could do the work faster than skilled workers by hand.

b. factory owners relied on skilled workers to run the machines.

c. the machines produced a better product than skilled workers by hand.

d. factory owners needed more unskilled workers to run the machines.

Answer:

3 cm : 1 cm

Step-by-step explanation:

1. 60 : 20

2. divide 10 on both sides = 6 : 2

3. divide by 2 on both sides = 3 : 1

4. 3 cm : 1 cm

I'm so sorry, I just read the ratio is 60 cm to 20 M

So edit:

convert both into a unit, we'll take m.

1 cm = 100 m

so 60 x 100 = 60000 m

= 60000 m : 20 m

= divide by 20 in both sides...

= 3000 m : 1 m