A triangle was dilated by a scale factor of 6. If sin aº

- and De measures 30 units, how long is EF?

EF = 15.5 units

EF = 24 units

EF = 30 units

EF = 37.5 units

PLEASE HELP

Answer:

the correct mean is greater than Eva's mean

The correct symbol in between numbers is,

⇒ 4/5 > 1/2

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The numbers are,

⇒ 4/5 and 1/2

Now, We can make denominator equal as;

LCM of 5, 2 = 10

Hence, We get;

⇒ 4/5

⇒ 8/10

⇒ 1/2

⇒ 5/10

Thus, We get;

⇒ 4/5 > 1/2

Therefore, The correct symbol in between numbers is,

⇒ 4/5 > 1/2

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The Wald test is a statistical test that can be used to test the significance of a group of coefficients in a multiple regression model.

The test statistic is calculated as the ratio of the estimated coefficient to its standard error. If the test statistic is significant, then the null hypothesis that the coefficient is equal to zero can be rejected.

Suppose we have a multiple regression model with three independent variables: age, gender, and education. We want to test the hypothesis that the coefficients for age and education are both equal to zero. The Wald test statistic would be calculated as follows:

Test statistic = (Estimated coefficient for age) / (Standard error of estimated coefficient for age) + (Estimated coefficient for education) / (Standard error of estimated coefficient for education)

If the test statistic is significant, then we can reject the null hypothesis that the coefficients for age and education are both equal to zero. This would mean that there is evidence that age and education are both associated with the dependent variable.

The Wald test is a powerful tool that can be used to test the significance of a group of coefficients in a multiple regression model. However, it is important to note that the test statistic is only valid if the assumptions of the multiple regression model are met. If the assumptions are not met, then the p-value of the Wald test may be inaccurate.

Here are some of the assumptions of the multiple regression model:

* The independent variables are independent of each other.

* The dependent variable is normally distributed.

* The errors are normally distributed.

* The errors have constant variance.

If any of these assumptions are not met, then the Wald test may not be accurate.

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Answer:

30

Step-by-step explanation:

12 - 5 + 6 × 3 + 20 ÷ 4

12 - 5 + 6 × 3 + 5

12 - 5 + 18 + 5

7 + 18 + 5

25 + 5

30

An equation for the line of best fit that models the data points is y = 1.31x + 0.02.

In order to determine a linear equation for the line of best fit that models the data points described above, we would use a scatter plot on Microsoft Excel.

In this scenario, the width (in centimeters) would be plotted on the x-axis of the scatter plot while the length (in centimeters) would be plotted on the y-axis of the scatter plot.

On the Microsoft Excel worksheet, you should right click on any data point on the scatter plot, select format trend line, and then tick the box to display an equation for the line of best fit on the scatter plot.

From the scatter plot (see attachment) which models the relationship between the width and length, a linear equation for the line of best fit is given by:

y = 1.31x + 0.02.

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Question

The graph shows a scatter plot for a set of data.

Scatter plot with x-axis labeled width in centimeters and y-axis labeled with length in centimeters. The 20 points graphed are 1.3 and 1.7, 1.4 and 1.9, 1.4 and 1.8, 1.5 and 1.9, 1.9 and 2.3, 2.1 and 3.5, 2.1 and 2.8, 2.1 and 2.7, 2.2 and 3, 2.2 and 2.7, 2.3 and 3, 2.4 and 3.2, 2.4 and 2.9, 2.5 and 3.5, 2.5 and 3.3, 2.6 and 3.5, 2.6 and 3.4, 2.6 and 3.4, 2.7 and 3.2, and 2.8 and 3.8.

Determine the equation for a line of fit for the data.

Answer: The graph shows no correlation, and it is neither linear nor exponential.

Step-by-step explanation:

try doing a line of fit you're ALWAYS. gonna be ignoring other dots/points/coorids.

Why it's not a correlation is because nothing is together. You could consider a lot of dots on the edge.

If that doesn't make sense to you lets go through each answer

The graph shows a negative correlation, and it is a linear model.

The coordinates don't form any specific line

None of the coordinates are together

there's no slope since there's no line of fit.

it's THE SAME FOR THE OTHER ANSWER CHOICES BESIDES:

'The graph shows no correlation, and it is neither linear nor exponential.'

Remember that the rule for a dilation by a factor of k about the origin is:

Identify the coordinates of the points W, X and Z. Then, apply a dilation by a factor of 3 about the origin to find W', X' and Z', the new coordinates after the dilation.

Apply a dilation by a factor of 3:

Therefore, the new coordinates would be:

Multiplying vector v we get 2.5v =  (-10, 10).

What is the vector?

A vector is a quantity or phenomenon with two distinct properties: magnitude and direction. The term can also refer to a quantity's mathematical or geometrical representation. In nature, vectors include velocity, momentum, force, electromagnetic fields, and weight.

The magnitude of a vector indicates the vector's length. It is typically represented by an arrow pointing in the vector's direction. A vector a is defined as a1 ^ii^ + b1 ^jj^ + c1 ^kk^, where a1, b1, and c1 are its constituents.

We have,

v = (-4,4)

2.5v = ?

Multiplying vector v by 2.5 we get,

2.5v =  (-10, 10)

Hence, by Multiplying vector v we get 2.5v =  (-10, 10).

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Step-by-step explanation:

\(\text{The total amount in the bags is }(54\text{ bags})(1080\text{ g})=58320\text{ g}\)

\(\text{The collective amount of rice is thus }(58320+704)\text{ g}\cdot\frac{1\text{ kg}}{1000\text{ g}}=59.024\text{ kg}\)

The temperature of the soda after 20 minutes is approximately -18 degrees Celsius. To find the initial temperature of the soda, we can evaluate the function T(x) at x = 0.

Substitute x = 0 into the function T(x):

T(0) = -19 + 39e^(-0.45*0).

Simplify the expression:

T(0) = -19 + 39e^0.

Since e^0 equals 1, the expression simplifies to:

T(0) = -19 + 39.

Calculate the sum:

T(0) = 20.

Therefore, the initial temperature of the soda is 20 degrees Celsius.

To find the temperature of the soda after 20 minutes, we substitute x = 20 into the function T(x):

Substitute x = 20 into the function T(x):

T(20) = -19 + 39e^(-0.45*20).

Simplify the expression:

T(20) = -19 + 39e^(-9).

Use a calculator to evaluate the exponential term:

T(20) = -19 + 39 * 0.00012341.

Calculate the sum:

T(20) ≈ -19 + 0.00480599.

Round the answer to the nearest degree:

T(20) ≈ -19 + 1.

Therefore, the temperature of the soda after 20 minutes is approximately -18 degrees Celsius.

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INCOMPLETE QUESTION

A can of soda is placed inside a cooler. As the soda cools, its temperature Tx in degrees Celsius is given by the following function, where x is the number of minutes since the can was placed in the cooler. T(x)= -19 +39e-0.45x. Find the initial temperature of the soda and its temperature after 20 minutes. Round your answers to the nearest degree as necessary.

The population of student course evaluations has a mean that is not equal to 59.

State the null and alternative hypotheses:

Null Hypothesis: The population mean is equal to 59.

Alternative Hypothesis: The population mean is not equal to 59.

Now, we need to determine the test statistic and critical value.

Since our sample size is greater than 30,

we can use a Z-test.

The formula for the Z-score is:

⇒ Z = (x - μ) / (σ / √(n))

Where x is the sample mean,

μ is the hypothesized population mean,

σ is the population standard deviation (which we do not know),

And n is the sample size.

Since we do not know the population standard deviation,

Use the sample standard deviation as an estimate.

⇒ s = √(sum(xi - x) / (n - 1))

      = √((383-59) + ... ) / (99-1)

      = 18.97

⇒ Z = (x - μ) / (s / √(n))

       = (383 - 59) / (18.97 / √(99))

       = 20.22

The critical value for a two-tailed test at a 0.05 significance level is ±1.96. Since our test statistic (20.22) is outside the critical region,

we can reject the null hypothesis.

Therefore,

We can conclude that there is sufficient evidence to support the claim that the population of student course evaluations has a mean that is not equal to 59.

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The rate of return for the equipment is 12.03%.

The rate of return for the equipment can be calculated using the formula for the internal rate of return (IRR). The IRR is the discount rate that makes the net present value (NPV) of the cash flows equal to zero.

In this case, we have cash inflows of $22,500 per year, cash outflows of $4,500 per year for maintenance, and a salvage value of $18,700 at the end of the 6-year useful life. By applying the IRR formula, we find that the rate of return for the equipment is 12.03%.

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The rate of return for an equipment with an initial cost of $100,000, annual benefits of $22,500, annual maintenance cost of $4,500, and a salvage value of $18,700, over a useful life of 6 years, can be calculated using the internal rate of return (IRR) formula. The IRR is the discount rate that equates the present value of the cash inflows (benefits and salvage value) with the present value of the cash outflows (maintenance costs). By solving for the IRR, we find that the equipment's rate of return is 12.03%. This means that the equipment is expected to generate a 12.03% return on the initial investment over its useful life. The rate of return is a useful metric for evaluating the profitability and financial viability of investment projects. It helps decision-makers assess whether the project's returns exceed the required rate of return or cost of capital.

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Answer:

17

Step-by-step explanation:

because 19 students for the other in total (you add the ones who study biology and the ones who study both, then you minus the group of students by 19)

Answer:

21

Step-by-step explanation:

this is really easy so what you do is

you know 13 study bio and NOT art

we also know 2 student study neither subject

so lets just do 36-15

which is 21, this 21 does include the 6 that study both and the rest we can safely assume study art

Reason:

Vertical angles form after intersecting two lines in an X shape. The vertical angles are opposite one another. They do not have to be vertically aligned.

The other pair of vertical angles are ADB and XDF.

Vertical angles are always congruent.

Answer:

Below

Step-by-step explanation:

Since it is a QUADRATIC  it should be

3x^2 - 75 = 0    divide through by 3 to get

x^2 - 25 = 0       then

x^2 = 25

x = ±5

8 + \(\frac{w}{4}\) = 8 + \(\frac{16}{4}\) = 8 + 4 = 12

Answer:

480 grams

Step-by-step explanation:

Set a proportion: if 150 cm of the copper pipe weighs 800 grams, 90 cm of the copper pipe weigh x.

Let's find x:

150 cm : 800 grams = 90 cm : x

x = (800×90)÷150 = 480 grams

Answer:

480g

Step-by-step explanation:

the person above me is correct I checked the math.

The given fractions have equal value, so Liam is correct.

Equivalent fractions are defined as fractions that have different numerators and denominators but the same value. For example, 2/4 and 3/6 are equivalent fractions because they are both equal to 1/2. A fraction is part of a whole. Equivalent fractions represent the same part of a whole.  

Liam is claiming that the fraction -(5/12) is equivalent to 5/-12.

Thus, we can say that:

The fraction  -(5/12) can be described as the opposite of a positive number divided by a positive number. A positive number divided by a positive number always results in a positive quotient and its' opposite is always negative.

The fraction 5/-12 can be described as a positive number divided by a negative number which always results in a negative quotient

The fractions have equal value, so Liam is correct

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Answer: The answer is False

Step-by-step explanation:

I just took it

Answer:

63°

Step-by-step explanation:

Complementary angles are defined as two angles whose sum is 90 degrees. So one angle is equal to 90 degrees minuses the complementary angle.

The other angle = 90 - 27 = 63

Answer:

0.0035%

Step-by-step explanation:

The entire rainbow of radiation observable to the human eye only makes up a tiny portion of the electromagnetic spectrum – about 0.0035 percent. This range of wavelengths is known as visible light.

Answer:

0.0035%

Step-by-step explanation:

i learned in class

A simple linear regression model is appropriate when the response variable is influenced by only one explanatory variable.

A simple linear regression model assumes a linear relationship between the response variable (y) and a single explanatory variable (x).

It is suitable when we want to understand how changes in the explanatory variable affect the response variable.

In the given options, the situation where the response variable y is influenced by one explanatory variable aligns with the requirements of a simple linear regression model.

This means that the relationship between y and x can be adequately described by a straight line.

The model aims to estimate the slope and intercept of this line, allowing us to make predictions and draw conclusions about the impact of the explanatory variable on the response variable.

If the response variable y is influenced by two or more explanatory variables, a multiple linear regression model would be more appropriate.

Multiple linear regression allows for the analysis of the combined effects of multiple predictors on the response variable, accounting for their individual contributions.

Similarly, if the explanatory variable x is influenced by two or more response variables, a different modeling technique, such as multivariate regression, would be more suitable.

Therefore, the situation where the response variable y is influenced by one explanatory variable is the scenario where a simple linear regression model is appropriate.

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Scheduling court hearings is a linear optimization problem with judge hours and available hours as constraints. The given set of vectors form a basis for R³ and the matrices have rank 3.

1. a) The linear program for scheduling court hearings can be formulated as follows:

Minimize Z = 0

Subject to:

∑_j (x_ij) * (h_i) <= (Δ_j) for all i = 1,2,...,n

x_ij >= 0 for all i = 1,2,...,n and j = 1,2,...,m

Where x_ij is the number of hearings of class i processed at period j, h_i is the number of judge-hours required to process a hearing of class i, and Δ_j is the available judge-hours at period j.

b) To prevent hearings from being delayed for too long, the linear program can be modified by adding a constraint that ensures that the number of hearings of class i processed at each period is at least a minimum value. For example:

x_ij >= minimum value for all i = 1,2,...,n and j = 1,2,...,m

2. a) The vectors ???? = (1 2 1), ???? = (-1 0 -1), ???? = (0 0 1) form a basis of R^3 because they are linearly independent and span the entire space R^3.

b) The vectors ???? = (-1 2 3), ???? = (0 1 0), ???? = (1 2 3), ???? = (-3 2 4) form a basis of R^3 because they are linearly independent and span the entire space R^3.

c) The vectors ???? = (1 2 1), ???? = (-3 -1 2), ???? = (8 -1 7) form a basis of R^3 because they are linearly independent and span the entire space R^3.

3. The vectors ???? = (1 0 0), ???? = (0 1 0), ???? = (1 5 3) form a basis of R^3. If ???? is replaced by (0 1 1), the new set of vectors do not form a basis of R^3 because they are linearly dependent.

4. The rank of a matrix is the number of linearly independent rows or columns. The rank of a matrix is equal to the number of non-zero rows in the row echelon form of the matrix or the number of non-zero columns in the column echelon form of the matrix. By inspection, the rank of the matrices is 3, which is the number of non-zero rows or columns in either form.

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Kayla -24

Leanne-18

Step-by-step explanation:

4+3=7

42÷7=6

6x4=24

3x6=18

Answer: Let's call the number of marbles that Kayla gets x. Then, Leanne gets 3x marbles. The total number of marbles that the girls receive is x + 3x = 4x, so 4x must equal 42 marbles:

4x = 42

Dividing both sides by 4:

x = 10.5

Since the number of marbles that each girl receives must be an integer, we round down to the nearest whole number. So, Kayla gets 10 marbles and Leanne gets 3 * 10 = 30 marbles.

Step-by-step explanation:

Answer:

8 : 3

Step-by-step explanation:

chickens: pigs

16             : 6

Divide each side by 2

16/2           : 6/2

8                : 3

The simplified ratio is 8 : 3

Answer:

Step-by-step explanation:

The ratio of chickens to pigs are 16 to 6

We have to simplify the ratio

so,

Answer: 1387.5 miles

Step-by-step explanation:

hope this helps :)

The product of (3) and (415) using the distributive property is 165.

To find the product of (3) and (415) using the distributive property, we need to multiply each digit of (415) by 3 and then add the results.

Let's break down the process step by step:

Start with the digit 3.

Multiply 3 by each digit in (415) individually.

3 × 4 = 12

3 × 1 = 3

3 × 5 = 15

Write down the results of each multiplication.

12, 3, 15

Place the results in the appropriate positions, considering their place values.

Since we multiplied the digit 3 by the units digit of (415), the result 15 will be placed in the units position.

Since we multiplied the digit 3 by the tens digit of (415), the result 3 will be placed in the tens position.

Since we multiplied the digit 3 by the hundreds digit of (415), the result 12 will be placed in the hundreds position.

Combine the results.

Combine the results from each position to obtain the final product.

Final product = 120 + 30 + 15 = 165

Therefore, the product of (3) and (415) using the distributive property is 165.

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Sample Response: Rewrite 3 (4 1/5) as 3 (4 + 1/5) . Distribute the 3 to get 3(4) + 3 (1/5) . Multiply to get 12  +  3/5. Then add to get 12 3/5.

you're welcome

Answer:

C

Step-by-step explanation:

Answer: he have saved $500? ... the question. Does your answer make sense? ... Solve the following problems and show all your work. (Remember to use the 5 steps for solving two-step equation word problems!) | 1. ... Joe went to the hobby shop and bought 2 model sports cars at $8.95 each and some paints.

Step-by-step explanation:

The first few coefficients are all equal to \(\( e^3 \) for \( n = 0 \)\) and \(\( n = 1 \)\), and then they follow a pattern based on the factorial of \(\( n \)\) starting from \(\( n = 2 \).\)

To find the coefficients of the Taylor series for \(\( f(x) = e^x \) at \( a = 3 \),\) we can use the formula for the coefficients:

\(\[ c_n = \frac{{f^{(n)}(a)}}{{n!}} \]\)

Let's calculate the first few coefficients:

For \(\( n = 0 \):\)

\(\[ c_0 = \frac{{f^{(0)}(3)}}{{0!}} = \frac{{e^3}}{{1}} = e^3 \]\)

For \(\( n = 1 \):\)

\(\[ c_1 = \frac{{f^{(1)}(3)}}{{1!}} = \frac{{e^3}}{{1}} = e^3 \]\)

For \(\( n = 2 \):\)

\(\[ c_2 = \frac{{f^{(2)}(3)}}{{2!}} = \frac{{e^3}}{{2}} \]\)

For \(\( n = 3 \):\)

\(\[ c_3 = \frac{{f^{(3)}(3)}}{{3!}} = \frac{{e^3}}{{6}} \]\)

So, the first few coefficients of the Taylor series for \(\( f(x) = e^x \) at \( a = 3 \)\) are:

\(\[ c_0 = e^3 \]\)

\(\[ c_1 = e^3 \]\)

\(\[ c_2 = \frac{{e^3}}{{2}} \]\)

\(\[ c_3 = \frac{{e^3}}{{6}} \]\)

In general, the coefficient \(\( c_n \)\) will depend on the value of \(\( n \)\), but for this specific function, \(\( f(x) = e^x \)\), the first few coefficients are all equal to \(\( e^3 \) for \( n = 0 \)\) and \(\( n = 1 \)\), and then they follow a pattern based on the factorial of \(\( n \)\) starting from \(\( n = 2 \).\)

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