Select all that apply.

Which of the following name an angle in the drawing?

Answer:

72°

Step-by-step explanation:

From the question,

Area of the circle = πr²

A = πr²................. Equation 1

Where r = radius of the circle.

⇒ r = √(A/π)............. Equation 2

Given: A = 346.5 cm², π = 3.14

r = √(346.5/3.14)

r = √(110.35)

r = 10.5 cm.

Therefore,

circumference of the circle = 2πr = 2×3.14×10.5

circumference = 65.94 m

If the length of the arc(s) is 1/5 of its circumference.

Therefore, length of arc (s) = 13.188

⇒ length of arc/circumference = 13.188/65.94 =  1/5

s/2πr = θ/360

Where θ = angle substends at the center of the circle

1/5 = θ/360

θ = 360/5

θ = 72°

Answer:

so far i think 9 but that's all I know for how

Step-by-step explanation:

image them turning into triangles

a) The number of ways to form a committee of 6 people from the department is 177,100.

b) The number of ways to form a committee of 6 people with an equal number of men and women is 54,600.

c) The number of ways to form a committee of 6 people with more women than men is 91,455.

a) To form a committee of 6 people from the department, we can choose 6 individuals from a total of 25 people (10 men + 15 women). The order in which the committee members are chosen does not matter, and we are not concerned with any specific positions within the committee. Therefore, we can use the concept of combinations.

The number of ways to choose 6 people from a group of 25 is given by the combination formula:

C(25, 6) = 25! / (6! * (25 - 6)!) = 25! / (6! * 19!) = 177,100

Therefore, there are 177,100 ways to form a committee of 6 people from the department.

b) In this case, we need to choose an equal number of men and women for the committee. We can select 3 men from the available 10 men and 3 women from the available 15 women. Again, the order of selection does not matter.

The number of ways to choose 3 men from 10 is given by the combination formula:

C(10, 3) = 10! / (3! * (10 - 3)!) = 10! / (3! * 7!) = 120

Similarly, the number of ways to choose 3 women from 15 is:

C(15, 3) = 15! / (3! * (15 - 3)!) = 15! / (3! * 12!) = 455

To find the total number of ways to form a committee with an equal number of men and women, we multiply these two combinations:

Total = C(10, 3) * C(15, 3) = 120 * 455 = 54,600

Therefore, there are 54,600 ways to form a committee of 6 people with an equal number of men and women.

c) In this case, we need to form a committee with more women than men. We can choose 1 or 2 men from the 10 available men and select the remaining 6 - (1 or 2) = 5 or 4 women from the 15 available women.

For 1 man and 5 women:

Number of ways to choose 1 man from 10: C(10, 1) = 10

Number of ways to choose 5 women from 15: C(15, 5) = 3,003

For 2 men and 4 women:

Number of ways to choose 2 men from 10: C(10, 2) = 45

Number of ways to choose 4 women from 15: C(15, 4) = 1,365

The total number of ways to form a committee with more women than men is the sum of these two cases:

Total = (Number of ways for 1 man and 5 women) + (Number of ways for 2 men and 4 women)

     = 10 * 3,003 + 45 * 1,365

     = 30,030 + 61,425

     = 91,455

Therefore, there are 91,455 ways to form a committee of 6 people with more women than men.

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Answer:

(2X100000)+(7X10000)+(6X1000)

Step-by-step explanation:

The exact x-coordinate of the point  is frac{1163}{291}6

The curve is given by {x = t² + 1, y = t² - t}.

Let's find dy/dx in terms of t as follows:

frac{dy}{dx} = frac{dy/dt}{dx/dt} = frac{(2t - 1)}{(2t)} = 1 - frac{1}{2t}

Therefore, when dy/dx = 27, we have:

1 - frac{1}{2t} = 27

Rightarrow 2t - 1 = frac{2}{27}

Rightarrow t = frac{29}{54}

The x-coordinate is given by x = t² + 1, therefore, we have:

x = left(frac{29}{54}right)^2 + 1

= frac{1163}{2916}

Hence, the exact x-coordinate of the point on the curve where the tangent line has slope 27 is frac{1163}{291}6

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The histogram provided displays the frequency of grades earned on a Spanish test.

Which of the below best illustrates the data's shape and why?

Based on the given information, the shape of the data is not symmetric because the grades are not evenly distributed in each of the intervals.

The data appears to be skewed to the left because there are fewer students who received higher grades than those who received lower grades. Additionally, the mode of the data is in the 71-80 interval, which is the highest point in the histogram.

Therefore, the correct answer is:

"Because there is a large amount of data, the data is skewed, with the average grade being in the middle i.e, option c"

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The probability that a randomly selected home in Queens has 4 or more computers is 0.1 or 10%. The correct answer is (b) 0.10.

The given probability distribution table shows the probabilities of having 1, 2, or 3 computers in a randomly selected home in Queens. However, the probability of having 4 or more computers is not given in the table.

To find the probability of having 4 or more computers in a randomly selected home, we can use the complement rule. The complement rule states that the probability of an event happening is equal to 1 minus the probability of the event not happening. In this case, the event we are interested in is having 4 or more computers in a home, and the complement of this event is having 1, 2, or 3 computers in a home.

So, the probability of having 4 or more computers in a randomly selected home in Queens can be calculated as:

P(4 or more) = 1 - P(1 or 2 or 3)

P(1 or 2 or 3) = P(1) + P(2) + P(3) = 0.4 + 0.3 + 0.2 = 0.9

P(4 or more) = 1 - 0.9 = 0.1

Therefore, the probability that a randomly selected home in Queens has 4 or more computers is 0.1 or 10%. The correct answer is (b) 0.10.

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As we know that perimeter of a shape is the sum of all it's boundaries. Also , let assume that the missing side be y . So ,here ;

\({:\implies \quad \sf (4x-4)+(3x+1)+y=13x-8}\)

\({:\implies \quad \sf 4x-4+3x+1+y=13x-8}\)

\({:\implies \quad \sf y+7x-3=13x-8}\)

\({:\implies \quad \sf y=13x-8-7x+3}\)

Collecting like terms :

\({:\implies \quad \sf y=(13x-7x)+(-8+3)}\)

\({:\implies \quad \bf \therefore \quad \underline{\underline{y=6x-5}}}\)

Hence , the length of Missing side is 6x-5

d. Dummy coding. Categorical variables need to be converted into numerical variables to be used in regression analysis. Dummy coding involves creating binary variables for each category of the categorical variable.

For example, if the categorical variable is "color" with categories "red," "green," and "blue," dummy coding would involve creating three binary variables: "red" (0 or 1), "green" (0 or 1), and "blue" (0 or 1). These binary variables can then be used in the regression analysis. In conclusion, to use categorical variables in regression analysis, dummy coding is necessary.


In order to use categorical variables in a regression analysis, they must be converted into numerical values. This process is called dummy coding (also known as one-hot encoding). Dummy coding involves creating new binary variables (0 or 1) for each category of the categorical variable. This allows the regression model to incorporate the categorical data while maintaining its numerical nature.

To use categorical variables in a regression analysis, you must apply dummy coding to convert them into numerical values.

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The solution to the systems of equations graphically is (2, 4)

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

y = 2x

y = -x + 6

Next, we plot the graph of the system of the equations

See attachment for the graph

From the graph, we have solution to the system to be the point of intersection of the lines

This points are located at (2, 4)

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Answer:

x = 2

Step-by-step explanation:

3(x - 1) = 23 - 5(x + 2) ← distribute parenthesis on both sides

3x - 3 = 23 - 5x - 10

3x - 3 = 13 - 5x ( add 5x to both sides )

8x - 3 = 13 ( add 3 to both sides )

8x = 16 ( divide both sides by 8 )

x = 2

Answer:

x=2

Step-by-step explanation:

Answer:

Y=3x+2

Graph the line using the slope and y-intercept or two points

Slope: 3 Y-intercept: (0,2)

Point 1: (0,2) Point 2: (1,5)

-4x+2y=8

Graph the line using the slope and y-intercept or two points

Slope: 2 Y-intercept: (0,4)

Point 1: (0,4) Point 2: (1,6)

No, it is not sufficient for the environmentalist to use a simple random sample of 101 cars. The reason is that the sample size should be determined based on the required level of precision and the desired level of confidence in the hypothesis test.

In this case, since the environmentalist is claiming that the percentage of hybrids in the city is higher than the national percentage of 3%, it would be appropriate to use a one-tailed hypothesis test. The null hypothesis would be that the percentage of hybrids in the city is equal to 3%, and the alternative hypothesis would be that the percentage of hybrids in the city is greater than 3%.

To determine the sample size needed for this hypothesis test, the environmentalist would need to specify the desired level of significance (e.g., 0.05) and the desired level of power (e.g., 0.80). Based on these parameters, the environmentalist could use a statistical power calculator to determine the required sample size.

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Answer:

\( \tt \: x.( - 1).( - x).(1)\)

\( \longrightarrow \tt ( - x). (- x)\)

\( \longrightarrow \boxed{\tt{x}^{2} }\)

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Colligative properties are dependent on the concentration of the solute, but they are not dependent on the identity of the solute.

Colligative properties are physical properties of a solution that depend on the concentration of solute particles, regardless of their chemical nature. These properties include boiling point elevation, freezing point depression, vapor pressure lowering, and osmotic pressure. The magnitude of these effects is determined by the number of solute particles present in the solution, rather than the specific type of solute.

For example, when a solute is dissolved in a solvent, it disrupts the regular arrangement of solvent molecules, making it more difficult for them to escape into the vapor phase. This leads to a higher boiling point and a lower vapor pressure compared to the pure solvent. Similarly, the presence of solute particles lowers the freezing point of the solvent, as it interferes with the formation of a crystalline lattice.

The colligative properties are proportional to the concentration of solute particles, regardless of the chemical nature of the solute. This means that if two solutions have the same concentration of solute particles, they will exhibit the same colligative property effects, even if the solutes are different compounds.

In summary, colligative properties depend on the concentration of solute particles, but not on the specific identity of the solute itself.

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Answer: 25

Step-by-step explanation:

y:x = 15:3 = 5:1

If x is 5, then y = 25

Answer:

The length, l, of the ladder is 100 meters

Step-by-step explanation:

The given scenario forms a right triangle in which the length of ladder is hypotenuse, the distance between the foot of the ladder and the wall is base(as shown in attached diagram) We have to find length of ladder(l)

For this purpose trigonometric ratios can be used. The ratio which includes both base and hypotenuse of triangle is cos θ where θ = 60°

So,

\(cos\ 60 = \frac{50}{l}\)

The value of cos 60 is 1/2 or 0.5

So,

\(0.5 = \frac{50}{l}\\l = \frac{50}{0.5}\\l = 100\)

Hence,

The length, l, of the ladder is 100 meters

Answer:

4/15

Step-by-step explanation:

because 1/5÷3/4=4/15

The correct statement regarding R-squared is: "Its value is always between -1.0 and 1.0. A value of 1.0 indicates the line is a perfect fit for the data."

R-squared (²) is a statistical measure that represents the proportion of variance in the dependent variable that is explained by the independent variable(s) in a regression model. The value of R-squared ranges from -1.0 to 1.0.

A value of 1.0 indicates that the regression line perfectly fits the data, while a value of 0 indicates that the model cannot explain any variance in the dependent variable. A negative value indicates that the model is worse than just using the mean of the dependent variable.

Therefore, the best fit line for the data is the one that has an R-squared value closest to 1.0, indicating that it explains a high percentage of the variance in the dependent variable based on the independent variable(s). It is important to note that an R-squared value above 1.0 is not possible and may indicate a mistake in the calculations.

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In order to test for any positive autocorrelation in the data, you would use the Pearson correlation coefficient. This measures the strength and direction of a linear relationship between two variables. The level of significance that you set depends on the size of your dataset, but generally should be 0.05 or less.

To test for positive autocorrelation, you need to compare the Pearson correlation coefficient with the critical value of the correlation coefficient. The critical value is determined by the level of significance you have set. If the Pearson correlation coefficient is greater than the critical value, then you can conclude that there is a significant positive autocorrelation.

It is important to keep in mind that a positive correlation does not necessarily mean that there is a cause and effect relationship between the two variables. It only means that the two variables move in the same direction.

In conclusion, if the Pearson correlation coefficient is greater than the critical value, then you can conclude that there is a significant positive autocorrelation.

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Answer:

The answer to this question is 0

Step-by-step explanation:

see attached photo for explanation

Answer:

16

Step-by-step explanation:

(1/4) ^-2

We know that a^-b = 1/a^b

(1/4) ^-2 = 1/(1/4) ^2 = 1/(1/16)

We know that 1/ (1/a) = a

1/ ( 1/16) = 16

The standard error of the sample mean is to be determined based on a sample of 100 plants with a sample variance of 4. Additionally, the estimated standard error of the proportion (p) is required, given that 55 out of 100 plants in the sample were found to have flowers, assuming the same proportion in the one-hectare population.

1.6.1. To find the standard error of the sample mean, we first calculate the standard deviation (σ) of the sample mean using the formula σ = √(variance/n), where n is the sample size. In this case, the sample variance is given as 4 and the sample size is 100. Therefore, the standard deviation is σ = √(4/100) = 0.2. The standard error of the sample mean is then obtained by dividing the standard deviation by the square root of the sample size, which is 0.2/√100 = 0.02. Thus, the standard error of the sample mean is 0.02, indicating the average deviation of the sample mean from the true population mean.

1.6.2. To estimate the standard error of the proportion (p), we can use the formula SE(p) = √[(p(1-p))/n], where p is the sample proportion and n is the sample size. In this case, the sample proportion p  is 55/100 = 0.55. The sample size is 100. Plugging these values into the formula, we get SE(p) = √[(0.55(1-0.55))/100] ≈ 0.0497. Thus, the estimated standard error of the proportion is approximately 0.0497, indicating the average deviation of the sample proportion from the true population proportion.

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The confidence interval provides a range within which we can be 90% confident that the true proportion of Americans who cannot afford to go to college falls.

To calculate a 90% confidence interval for the proportion of Americans who decide not to go to college due to financial constraints, you will need data from a sample that represents the population accurately. Let's assume you have a sample of n individuals.

1. Determine the sample proportion (p-hat): Calculate the number of individuals in the sample who cannot afford college and divide it by the total sample size, n.

2. Calculate the standard error (SE):

The formula for the standard error is SE = √(p-hat * (1 - p-hat) / n).

Here, p-hat is the sample proportion.

3. Find the critical value (z): For a 90% confidence interval, the critical value is 1.645. This value corresponds to the area under the standard normal distribution.

4. Calculate the margin of error (ME): Multiply the critical value (z) by the standard error (SE).

5. Compute the confidence interval: Subtract the margin of error (ME) from the sample proportion (p-hat) to obtain the lower bound of the interval. Similarly, add the margin of error (ME) to the sample proportion (p-hat) to get the upper bound.

Now, let's interpret the interval in context. For example, if the calculated confidence interval is (0.25, 0.35), it means that we are 90% confident that the proportion of Americans who cannot afford college lies between 0.25 and 0.35.

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Answer:

$12

Step-by-step explanation:

to find sales tax you multiply the cost by the percentage

you do 150 * 8%

thats also 150 * 0.08

150 * 0.08 is 12

so you pay $12 in tax

Bret paid $12 as sales tax.

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. In a fraction say (x/y), [y] is called denominator.

We have Bret buys a dining table that costs $150 before tax. The sales tax is 8%.

Assume that he paid $[x] as sales tax. Then, we can write -

[x] = 8% of 150

[x] = (8/100) x 150

[x] = 12

Therefore, Bret paid $12 as sales tax.

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Answer:

tape

Step-by-step explanation:

tape is tape

The tax rate on the business office was 0.08. To calculate the tax rate, we divide the property taxes by the value of the property.

In this case, the property taxes were $2160 and the value of the property was $270,000. Therefore, the tax rate is 0.08.

Tax rate = Property taxes / Value of property

= $2160 / $270,000

= 0.08

The first step is to divide the property taxes by the value of the property. This gives us a decimal value of 0.08.

The second step is to convert the decimal value to a percentage by multiplying it by 100%. This gives us the final answer of 8%.

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Answer:

D

Step-by-step explanation:

In 2 hours they wash 8 cars total so...

8

16

24

The extra time is 15 mins for 2 cars