Find the length of arc CD. Use 3.14 for .
Round to the nearest tenth.
5 7.9 cm
66.49
[ ? ]cm
Enter

Answer:

EF = 1.5. DF = 2.

Step-by-step explanation:

DE is half of AB so EF is half of BC and DF is half of AC.

Equation for the regression line is given as y = -0.95X + 8.99.

When the wind is blowing at a speed of 27 mph, the chill factor is -16.66.

Regression coefficients are estimates of specific unknown properties that explain the relationship between a predictor variable and the related response.

In order to extrapolate the value of an unknown variable from a known variable, regression coefficients are used. The effect of a one-unit change in an independent variable on the dependent variable can be measured via linear regression by determining the equation of the best-fitted straight line. The procedure in question is regression analysis.

Calculation Overview

X's total is 45.

Total Y = 20

Mean X = 6.4286

Mean Y = 2.8571

Square sum (SSX) equals 113.7143.

Product total (SP) = -108.5714

Regression Equation = ŷ = bX + a

b = SP/SSX = -108.57/113.71 = -0.95477

a = MY - bMX = 2.86 - (-0.95*6.43) = 8.99497

y = -0.95477X + 8.99497

y = -0.95X + 8.99

The wind speed chill factor when it is 27 mph.

Using the output of the regression line shown above, we would solve for this.

y=-0.95X+8.99 

y=-0.95X+8.99 

y = -0.95 * 27 + 8.99

y = -25.65 + 8.99

y = -0.95 * 27 + 8.99

Conclusion: y = -16.66

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Answer:

f-¹(x) = (x + 6)/2

Step-by-step explanation:

Replace f(x) with y.

y = 2x – 6

Interchange x and y.

x = 2y – 6

Solve for y.

y = (x + 6)/2

Replace y with  f-¹(x)

f-¹(x) = (x + 6)/2

Answer: 20.52

Step-by-step explanation:

Your welcome

Answer:

The denominators are not equal.

Step-by-step explanation:

Since triangles abc and xyz are similar, their corresponding sides are proportional.

Let's label the sides of triangle xyz as a, b, and c. We know that the smallest side of xyz (side a) is 52 cm. We need to find the length of the longest side of xyz (which we can label as side c).
We can set up a proportion to solve for c:  121/52 = 105/b = 98/c
Solving for b, we get:  121/52 = 105/b
b = (105*52)/121
b ≈ 45.6
Now we can set up a new proportion to solve for c:  121/52 = 98/c
Multiplying both sides by c, we get:  121c/52 = 98
Solving for c, we get:
c = (98*52)/121
c ≈ 42.3
Therefore, the length of the longest side of xyz is approximately 42.3 cm.

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The coordinates of point D in the parallelogram ABCD are (15, 10).

To find the coordinates of point D, we can use the properties of a parallelogram. In a parallelogram, opposite sides are parallel and congruent. Therefore, we can use this information to determine the coordinates of point D.

Let's consider the given points:

A(-3, 5)

B(7, 12)

C(5, 3)

Since opposite sides of a parallelogram are parallel, the vector connecting points A and B should be equal to the vector connecting points C and D. We can express this as:

AB = CD

To find the vector AB, we subtract the coordinates of point A from the coordinates of point B:

AB = (7 - (-3), 12 - 5)

= (10, 7)

Now, we can express the vector CD using the coordinates of point C and the vector AB:

CD = (5, 3) + (10, 7)

= (15, 10)

Therefore, the coordinates of point D are (15, 10).

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The triangle ABC, the angle x is 36°.

Given that,

In the picture, we have triangles ABC.

We have to find the angle x.

The sides of the triangle are AB=3cm and AC=5cm.

We have the angle B is 90°.

We use the sine law.

In trigonometry, there are six fundamental ratios that are used to establish a connection between a right triangle's side-to-angle ratio and its angle. If the angle created by the base and hypotenuse of a right-angled triangle is, then

Perpendicular/hypotenuse = sin θ

base/hypotenuse = cos θ

tan θ = Base/Perpendicular

The three additional functions' values, cot, sec, and cosec, are dependent on the values of tan, cos, and sin, as shown below.

cot θ= perpendicular/base

sec θ=hypotenuse/base

cosec θ=hypotenuse/perpendicular

So,

Sin x=opposite side/hypothesis

Sin x=3/5

Sin x= 0.6

x= sin⁻¹(0.6)

x=36.86°

Approximately, x=36°

Therefore, The angle x is 36°.

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Yes.There is a strong , positive association,so an increase in turnovers causes an increase in points for NBA players..

Given that,

This scatterplot illustrates the correlation between a player's turnover rate and their points scored during a recent NBA season. 3000 2500 2000 Points 1500 and  r= 0.92

r = 0.92 A strong positive (upward sloping) linear relationship

While a correlation of 0.10 would be a modest positive correlation, a correlation of 0.97 is a significant negative correlation.

Hence, Yes. Because there is a significant positive correlation, more turnovers result in more points for NBA players.

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Answer:

A. (-2,1)

Step-by-step explanation:

The blue point on the graph represent the coordinates where the two lines intersect or meet, and that means it is the solution of the equation.

Hope this helps :)

Answer:

Step-by-step explanation:

\(\begin{bmatrix}y=\frac{1}{2}x+2\\ y=-2x-3\end{bmatrix}\\\\\mathrm{Subsititute\:}y=-2x-3\\\\\begin{bmatrix}-2x-3=\frac{1}{2}x+2\end{bmatrix}\\\\Isolate\:x\:for : \\-2x-3=\frac{1}{2}x+2\: :x=-2\\\\\mathrm{For\:}y=-2x-3\\\\\mathrm{Subsititute\:}x=-2\\\\y=-2\left(-2\right)-3\\\\y= 4-3\\\\y=1\\\\y=1,\:x=-2\)

The answer is (d) 100, which is the expected frequency for each group.

To determine the expected frequency for each group under the assumption of a uniform distribution of opinions, we can use the formula:

Expected frequency = (total sample size) x (proportion of group in population)

The total sample size is 300, and the proportions of Democrats, Republicans, and Independents in the population are not given, so we cannot use those directly. However, if we assume that the population proportions are roughly the same as the sample proportions, we can estimate the expected frequencies as follows:

Expected frequency for Democrats = 300 x (100/300) = 100

Expected frequency for Republicans = 300 x (120/300) = 120

Expected frequency for Independents = 300 x (80/300) = 80

Therefore, the answer is (d) 100, which is the expected frequency for each group if the opinions of the individuals of the three groups are uniformly distributed.

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Answer:

y=4-3x

Step-by-step explanation:

Hope this helps!!!

Answer: 0.1, 1.5, 7/4, 2, 4

Step-by-step explanation:

The probability that the Astros will win 4 of their next 6 games is 32.1%

Probability:

In math, probability refers the possible number of occurrence of the particular event.

Given,

Based on the 2017 season, the Houston Astros have a winning percentage of. 623.

Here we need to use the binomial model to find the probability that the Astros will win 4 of their next 6 games.

While we looking into the given question,

The winning percentage of Houston Astros 623.

Total number of games = 6

Here let us consider 50% as the winning percentage of all, then the based on the Astro, then probability of win 4 of their next 6 games is 32.1%.

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Answer:

13 square centimeters.

Step-by-step explanation:

There are 13 squares making up the shape

To determine if a function crosses the horizontal asymptote, analyse the behavior of the function as it approaches the asymptote and on either side of it.

1. Identify the horizontal asymptote of the function. The horizontal asymptote is a horizontal line that the function approaches as the independent variable (usually denoted as x) goes to positive or negative infinity. It is often denoted by a horizontal line y = a, where "a" is a constant.

2. Examine the behavior of the function as x approaches positive infinity. Evaluate the limit of the function as x goes to positive infinity. If the limit is equal to the value of the horizontal asymptote, then the function does not cross the asymptote. However, if the limit does not equal the asymptote, move to the next step.

3. Examine the behavior of the function as x approaches negative infinity. Evaluate the limit of the function as x goes to negative infinity. If the limit is equal to the value of the horizontal asymptote, then the function does not cross the asymptote. If the limit does not equal the asymptote, proceed to the next step.

4. Investigate the behavior of the function around critical points or points where the function changes its behavior. These points may include the x-intercepts or vertical asymptotes. Determine if the function crosses the asymptote around these points by analyzing the behavior of the function in their vicinity.

If, at any point in this process, the function crosses the horizontal asymptote, then it does not have a true horizontal asymptote. However, if the function approaches the asymptote and does not cross it at any point, then it has a horizontal asymptote.

It's important to note that some functions may have multiple horizontal asymptotes or no horizontal asymptote at all. The steps outlined above are a general guideline, but the specific behavior of the function needs to be analyzed to make a conclusive determination.

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Answer: k= 1

Step-by-step explanation:

(a) The promoter's expected profit is$2,514.

(b) This is obtained by multiplying the potential losses in each scenario (no rain and rain) by their respective probabilities and summing them up. The insurance company should charge an amount equal to the expected value of the losses to cover the promoter's full losses. It is  $9,643

To calculate the promoter's expected profit, we need to consider the profit in both the rainy and non-rainy scenarios, taking into account the probability of rain.

(a) Expected Profit:

Let's calculate the profit in each scenario first:

Profit if it does not rain = $30,393

Profit if it rains = -$16,072

Now we need to calculate the expected profit:

Expected Profit = (Probability of no rain * Profit if no rain) + (Probability of rain * Profit if rain)

Probability of no rain = 1 - Probability of rain = 1 - 0.6 = 0.4

Expected Profit = (0.4 * $30,393) + (0.6 * -$16,072)

Expected Profit = $12,157.2 - $9,643.2

Expected Profit = $2,514

The promoter's expected profit is $2,514.

(b) Insurance Premium:

To calculate the insurance premium, the insurance company needs to cover the promoter's potential loss of $16,072 in case it rains.

Insurance Premium = Expected Loss * Probability of Loss

Expected Loss = Potential Loss if it rains = $16,072

Probability of Loss = Probability of rain = 0.6

Insurance Premium = $16,072 * 0.6

Insurance Premium = $9,643.2

The insurance company should charge approximately $9,643 to insure the promoter's full losses.

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The exponential equation is \(y=ab^x\). Let's look at some properties of this equation.

'b' must be greater than 0 and not equal to 1. b>0, b1.

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The exponential equation is y = \(ab^{x}\) . Let's look at some properties of this equation.

'b' must be greater than 0 and not equal to 1. b>0, b1.

The formula for exponential regression is y = \(ab^{x}\) . This refers to the process of arriving at the best exponential curve equation for your dataset. This regression is very similar to linear regression and tries to find the best (straight line) line equation for a data set.

Exponential regression refers to the process of obtaining the best exponential curve equation for a data set.

A model that explains the process of doubling growth.

The exponential equation is y = \(ab^{x}\)

Exponential functions are commonly used in life sciences and are used to represent the specific quantity that you want to model. B. Population size modeled over time. Plots of experimental data are usually plotted with time on the x-axis and quantity on the y-axis.

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Given:

Aim:

We need to find the trigonometric function and the quadrant of the angle.

Explanation:

Take inverse trigonometry on both sides of the equation.

Final answer:

The time categories are divided into "<1 hour," "1-2 hours," "2-3 hours," and ">3 hours."  

What does the frequency distribution in the table reveal about the homework habits of the two samples of high school students?

The frequency distribution in the table provides insights into the distribution of homework habits among the two samples of high school students. By examining the frequency counts in each time category, we can determine the proportion of students spending different amounts of time on homework each night. This information helps identify patterns and differences in homework habits between the two samples, allowing for a comparison of their study behaviors.

Here is an example of a 4-column table with 2 rows representing the results of a random survey asking two samples of 100 high school students about the amount of time they spend on homework each night:

Sample 1:

  Sample 1                                                     Number of Students

    Time                                                                   Frequency

   <1 hour                                                                     20

  1-2 hours                                                                    40

 2-3 hours                                                                     30

    >3 hours                                                                   10

Sample 2:

 Sample 2                                                        Number of Students

Time                                                                      Frequency

<1 hour                                                                        30

1-2 hours                                                                    35

2-3 hours                                                                   20

>3 hours                                                                      15

In this table, each sample represents a different group of 100 high school students, and the frequency of students spending a particular amount of time on homework each night is recorded. The time categories are divided into "<1 hour," "1-2 hours," "2-3 hours," and ">3 hours." The table provides an overview of the distribution of homework time among the two samples of high school students.

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Step-by-step explanation:

Let x be the amount invested at 6% so that 18000-x is the amount invested at 7.5% both in dollars.

The total interest in 3 years is $3330 so we can write: 0.06x(3)+0.075(18000-x)(3)=3330

Solve for x:

0.06x(3)+0.075(18000−x)(3)=3330

Step 1: Simplify both sides of the equation.

0.06x(3)+0.075(18000−x)(3)=3330

0.06x(3)+−0.225x+4050=3330(Distribute)

0.18x+−0.225x+4050=3330

(0.18x+−0.225x)+(4050)=3330(Combine Like Terms)

−0.045x+4050=3330

−0.045x+4050=3330

Step 2: Subtract 4050 from both sides.

−0.045x+4050−4050=3330−4050

−0.045x=−720

Step 3: Divide both sides by -0.045.

−0.045x/−0.045=−720/−0.045

x=16000

x=16000

So, the amounts borrowed are:

Bank at 6% = 16000

Bank at 7.5% = 2000

ANSWER:

STEP BY STEP EXPLANATION:

\(x( {x}^{2} + 18) = 0\)

\(x = 0\)

OR

\( {x}^{2} + 18 = 0\)

\( {x}^{2} = - 18\)

\(x = - \frac{1}{18} \)

The fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way. So the correct option is D.

Correlational method is a research technique used to explore the relationship between two or more variables. In this method, researchers collect data on the variables of interest and analyze their patterns of association. The fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way. This means that researchers are interested in exploring whether changes in one variable are associated with changes in another variable.

For instance, a researcher may be interested in exploring the relationship between stress and job performance. The researcher may collect data on the levels of stress and job performance in a sample of employees and then use statistical analysis to determine if there is a systematic relationship between the two variables. If the results show that higher levels of stress are associated with lower levels of job performance, then the researcher can conclude that there is a negative correlation between the two variables.

It is important to note that correlation does not imply causation. While a correlation between two variables indicates that they are related, it does not necessarily mean that changes in one variable are causing changes in the other variable. Therefore, researchers must be cautious when interpreting correlational data and should consider other factors that may be influencing the relationship between variables.

Therefore, the fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way, and researchers must be cautious when interpreting correlational data and should consider other factors that may be influencing the relationship between variables.

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Let, number of games played is n and sum of their points are x.

So, \(177=\dfrac{x}{n}\)    

Now, In his next game he obtained a score of 199, which caused his average to increase to 178.

\(178=\dfrac{x+199}{n+1}\)

Now equations are :

x = 177n    ...1)

x + 199 = 178( n + 1 )

x = 178n - 21  ...2)

Solving eq 1 and 2 , we get :

x = 3717 and n = 21 .

Now, new average is 183.

Let, point scored in last game is y.

So,

\(183 =\dfrac{x+y}{n+1+1}\\\\183 = \dfrac{3717+y}{23}\\\\y = 183\times 23 - 3717\\\\y=492\)

He required 492 points which is greater than the maximum i.e 300.

Therefore, it is not possible for Fred.

Hence, this is the required solution.

Answer:

its C LOL

Step-by-step explanation:

4x1=4

12x4=48

4/48

If 64 is a perfect cube the length of each edge of the block can be found. The edge length of a cube is: 4cm.

Given:

Volume of cube=64cm³

Hence:

Volume of the cube = a³

Volume of the cube, a³= 64 cm³

Using this formula

Cube edge length =∛(side)³

Let plug in the formula

Cube edge length =∛(64cm³)

Cube edge length=4cm

Therefore if 64 is a perfect cube the length of each edge of the block can be found. The edge length of a cube is: 4cm.

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Answer: B) 12

Step-by-step explanation:

This is a great question because the equation is already set up for us

7.3a + 11 = 98.6

the first thing you want to do in an algebraic equation is isolate the variable. To do this, we can move the 11 from the left side of the = to the right. Remember that if you move a term from one side to the other, it's value will change. So instead of it being 7.3a = 98.6 plus 11 it'll be minus 11.

Now combine like terms. 98.6-11 = 87.6

Your equation should now look like this

7.3a = 87.6

the last thing to do is find a which can be done by dividing each side by 7.3 (remember that if you're dividing one side, you have to do the same thing to the other)

so 87.6/7.3 = 12

hope this helped! attached is a picture of my work