What is 28.5 divided by 10 equal explain your answer 28.5 got at the top and 10 at the bottom PLEASE I ONLY HAVE 19 MINS TO TURN THIS IN. EXPLAIN YOUR ANSWER

Thus, the measure of angle A using the law of sine is found as:  ∠A = 39.37°.

The square of just about any one side of such a triangle is the difference between the sum of the squares of the other two sides along with the double product of the other sides and cosine angle contained between them, according to the law of cosine.

Given:

In ΔABC, a= 9, c=5 and ∠B = 120°.

Then, by law of cosine;

b² = a² + c² - 2ac* cosB

Put the values:

b² = 9² + 5² - 2*9*5*cos(120°)

b² = 151

b = √151

For finding the angle A, use the law of sine.

a/sin A = b/sin B

a sin B = b sin A

sin A = asinB / b

sin A = 9(√3 /2) / √151

Sin A = 9√453 / 302

Sin A = 0.63

A = 39.37°.

Thus, the measure of angle A using the  law of sine is found as:  ∠A = 39.37°.

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False. The superiority of a quadratic model over a linear model for fitting a production function depends on the nature of the relationship between inputs and output, and theoretical assumptions.

The choice between a linear and quadratic model to fit a production function depends on the specific characteristics of the production process and the theoretical understanding of the relationship between inputs and output. A linear model assumes a constant rate of return to scale and a linear relationship between inputs and output. It is appropriate when there is no evidence of diminishing or increasing returns to scale.

On the other hand, a quadratic model allows for nonlinear relationships and can capture diminishing or increasing returns to scale. It may be more appropriate when there are non-linearities or curvature in the production function. However, the use of a quadratic model should be supported by theoretical or empirical evidence.

Therefore, the statement that a quadratic model is generally better than a linear model to fit a production function is false. The choice between linear and quadratic models depends on the specific characteristics of the production process and the empirical evidence available.

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Answer:

It should be 860

Step-by-step explanation:

if there are 215 cars and each have 4 wheels, it should be 215 x 4 = 860

The correct answer is d) To avoid a large number of classes with very small frequencies.

Unequal class intervals are sometimes used in a frequency distribution to avoid a large number of classes with very small frequencies. This can occur when the data range is very large or when there is a lot of variability in the data.

For example, if we have a dataset with values ranging from 0 to 1000, using equal class intervals of size 100 would result in 10 classes. However, if the data is skewed and most of the values fall in the lower range, many of the classes may have very small frequencies. Using unequal class intervals can help group the data in a way that results in more meaningful class frequencies.

Additionally, unequal class intervals can be used to better represent the distribution of the data. For example, if there is a cluster of values around a certain range, using a smaller class interval around that range can provide more detail and information about the data distribution.

Therefore, the correct answer is d) To avoid a large number of classes with very small frequencies.

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The critical value for this hypothesis test is 29.71. This means that if the test statistic calculated from the sample data is greater than 29.71, we would reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that the population standard deviation is greater than 9.3.

To find the critical value(s) for a one-tailed hypothesis test where the alternative hypothesis is H1: σ > 9.3, with a significance level of α = 0.05 and a sample size of n = 18, we need to use the chi-square distribution with n - 1 degrees of freedom.

The critical value can be found using a chi-square distribution table or a calculator. Specifically, we need to find the chi-square value that corresponds to a cumulative area of 1 - α = 0.95 to the right of the distribution.

The degrees of freedom is n - 1 = 18 - 1 = 17. Using a chi-square distribution table with 17 degrees of freedom and a cumulative area of 0.95 to the right, we can find the critical value to be approximately 29.71.

Therefore, the critical value for this hypothesis test is 29.71. This means that if the test statistic calculated from the sample data is greater than 29.71, we would reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that the population standard deviation is greater than 9.3.

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Step-by-step explanation:

Parallel lines cut by a transversal coloring activity is an activity that helps students understand the pattern of angles when parallel lines are cut by a transversal. The activity involves coloring the angles formed by the parallel lines and the transversal in different colors. This helps students identify the different types of angles formed and their relationships with each other.

There are actually three null hypotheses associated with a two-way ANOVA. The first null hypothesis is that there is no interaction between the two independent variables. The second null hypothesis is that there is no main effect for the first independent variable. Finally, the third null hypothesis is that there is no main effect for the second independent variable.

Each of these null hypotheses can be tested using different statistical tests, and the results of these tests will inform whether or not to reject or fail to reject the null hypothesis. Overall, a two-way ANOVA is a powerful statistical tool for analyzing the effects of two independent variables on a single dependent variable, and understanding the associated null hypotheses is key to interpreting the results of this analysis.

In a two-way ANOVA, there are three null hypotheses associated with it. The first null hypothesis tests if there is no significant main effect of the first factor. The second null hypothesis examines if there is no significant main effect of the second factor. Lastly, the third null hypothesis assesses if there is no significant interaction effect between the two factors. Each of these null hypotheses is tested independently to determine the effects of the factors and their interaction on the dependent variable.

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Answer:

Step-by-step explanation:

D think is your answer

Answer:

7n+5

Step-by-step explanation:

The missing statements and reasons in the proof are:

R3: Alternate Interior ∠s theorem

S4: Reflexive property

R5: ASA

A proof involves statements that are stated on one column, then followed by reasons that justify the statements stated, on another column.

The missing statements and reasons in the given proof above are explained below:

Statement                                                    Reason                                            

1. Parallelogram ABCD with diagonal AC  1. Given

2. AB║CD and AD║BC                               2. Def. of parallelogram

3. ∠1 ≅ ∠2 and ∠3 ≅ ∠4                             3. Alternate Interior ∠s theorem

4. AC ≅ AC                                                  4. Reflexive property

5. ΔABC ≅ ΔCDA                                       5. ASA

6. AB ≅ CD and AD ≅ BC                          6. CPCTC

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Answer:

8 dragons in your dream

Step-by-step explanation

4 dragons in 14 h x 2 =8 dragons in total

(Hippity hoppity now your dreams are reality.)

Answer:

1.82

Step-by-step explanation:

If you add all the ounces together and divide by 25, you get 1.82. Hope this helps :D

Answer:

1.82

Step-by-step explanation:

About \(80.5\%\) of the variation in y can be attributed to the linear relationship with x.

Used the concept of correlation coefficient that states,

The proportion of the variation in y that can be explained by the linear relationship between x and y can be determined by squaring the correlation coefficient

Given that,

When paired variables are considered, the linear correlation coefficient is,

\(r=0.897\)

Hence the proportion of the variation in y explained by x is,

\(r^2 = (0.897)^2\)

\(r^2 = 0.804609\)

This means that about \(80.5\%\) of the variation in y can be attributed to the linear relationship with x.

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Answer:

srat

Step-by-step explanation:hehe i really dont know

The population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

To determine whether the population proportion who participated in voting or the sample proportion from the survey is higher, we need to compare the percentages.

The population proportion who participated in voting is given as 63% of all registered voters.

This means that out of every 100 registered voters, 63 participated in voting.

In the survey of retired voters, 162 out of 275 participants voted. To calculate the sample proportion, we divide the number of retired voters who participated (162) by the total number of retired voters in the sample (275) and multiply by 100 to get a percentage.

Sample proportion = (162 / 275) \(\times\) 100 ≈ 58.91%, .

Comparing the population proportion (63%) with the sample proportion (58.91%), we can see that the population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

Therefore, based on the given data, the population proportion who participated in voting is higher than the sample proportion from this survey.

It's important to note that the sample proportion is an estimate based on the surveyed retired voters and may not perfectly represent the entire population of registered voters.

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The unknown angle x in the triangle is 80 degrees

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

The triangle

The unknown angle x is calculated using the sum of angles in a triangle theorem

So, we have

x + 60 + 40 = 180

Evaluate the like terms

x + 100 = 180

So, we have

x = 80

Hence, the unknown angle x is 80 degrees

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Answer:

x = -1.5

General Formulas and Concepts:

Pre-Alg

Step-by-step explanation:

Step 1: Define equation

0.2x + 1 = 1.6x + 3.1

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

The pharmaceutical company uses the quantitative variable to conducts an experiment.

Variables:

A variable is a characteristic of an object. Their values may occur more than once for a set of data. We consider just two main types of variables in this course.

Quantitative Variables - Variables whose values result from counting or measuring something.

Qualitative Variables - Variables that are not measurement variables. Their values do not result from measuring or counting.

Given,

A pharmaceutical company conducts an experiment in which a subject takes 75 mg of a substance orally.

And  the researchers measure how many seconds it takes for one quarter of the substance to exit the bloodstream.

Here we need to find the kind of variable is the company​ studying.

Here the company uses the Qualitative Variable because here they measure the effects of the medicine not the measurement.

So, the experiment uses the Qualitative Variable.

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Answer:

= x^2 -9x-3x+27

= x (x-9) -3 (x-9)

= (x-3) (x-9)

The option B is correct answer which is ba-r(X) +/- 4.6.

What is Ma-rgin Er-ror?

The ma-rgin of er-ror is a statistic that describes how much ran-dom sa-mpling error there is in survey results. One should have less fa-ith that a p-oll's findings would accurately reflect those of a popu-lation census the higher the ma-rgin of er-ror.

If the ma-rgin of er-ror in an interval esti-mate of μ is 4.6, the interval esti-mates equals to ba-r(X) +/- 4.6.

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(a) The mass of the wire is 2π

b) The y-coordinate of the center of mass of the wire will be; 4/3.

(a) The mass of the wire is the integral of the density over the region occupied by the wire:

M = ∫∫R a(x,y) dA

Here, the region R is the semi-circle of radius 2 with y ≥ 0, which can be expressed as a double integral using polar coordinates:

x² + y² = 4

r = 2sinθ y ≥ 0

θ ∈ [0, π]M = ∫∫R a(x,y) dA

= ∫ ∫2sinθ0 (r sinθ) r dr dθ

= ∫2sinθ sinθ dθ ∫2sinθ0 r² dr

= ∫2sin²θ dθ ∫2sinθ0 4r² dr

= 4∫2sin²θ dθ

= 4∫2(1-cos(2θ)) dθ

= 4(θ - sin(2θ)/2) ∣π

= 4π/2 = 2π

Therefore, the mass of the wire is 2π.

(b) The y-coordinate of the center of mass of the wire can be calculated as:

\(y_c\)= (1/M) ∫∫R y a(x,y) dA

Hence, we need to evaluate the following double integral:

\(y_c\) = (1/M) ∫∫R y a(x,y) dA

= (1/2π) ∫ ∫2sinθ0 y (y sinθ) r dr dθ

= (1/2π) ∫2sinθ sinθ dθ ∫2sinθ0 y r² dr

= (1/2π) ∫2sin²θ dθ ∫2sinθ0 y (4-y²) dy

= (1/2π) ∫2sin²θ dθ [2y² - (\(y^4\))/2] ∣2sinθ0

= 4/3

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Answer:

5,580

Step-by-step explanation:

Rectangle: 36x30x60=6480

Triangle: 1/2x15x20x6=900

6480-900=5,580

The foam are used to package this product is cubic centimeters.

The Area of the rectangular prism is the product of the length, breadth, and height of the given prism.

Area of rectangular prism = 2(length x width + length x height + width x length)

Area of rectangular prism = 2( 36 x 30 + 30 x60 + 60 x 36)

= 10080 cubic centimeters

Let's find the base area:

The formula to find the base area is,

B = ½bh

Triangle area = 1/2 x 15 x 20 x 6

Triangle area = 900

10080 - 900 = 9180

Hence, the foam are used to package this product is cubic centimeters.

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Answer:

see explanation

Step-by-step explanation:

This is an example of a reduction ( larger to smaller )

The scale factor is the ratio of corresponding sides, image to original.

scale factor = \(\frac{4}{8}\) = \(\frac{7}{14}\) = \(\frac{1}{2}\)

? = \(\frac{1}{2}\) × 10 = 5

Step-by-step explanation:

\(64.24 = 4x \\ \frac{64.24}{4} = \frac{4x}{4} \\ 16.06 = x\)

so one book is $16.06

a. The probability that it will take more than 420 minutes to process all these books  is 0.4452.

b. The probability that at least 25 books will be processed in the first 240 minutes is  0.0002.

Let X be the time it takes to process one book, then X has a normal distribution with mean μ = 10 and standard deviation σ = 3.

(a) The total time it takes to process 40 books is Y = 40X. The mean of Y is E(Y) = E(40X) = 40E(X) = 40(10) = 400 minutes. The variance of Y is Var(Y) = Var(40X) = 40^2 Var(X) = 40^2 (3^2) = 14400. Therefore, the standard deviation of Y is σ(Y) = sqrt(Var(Y)) = 120.

To find the probability that it will take more than 420 minutes to process all these books, we standardize Y as follows:

Z = (Y - E(Y)) / σ(Y) = (420 - 400) / 120 = 1/6

Using a standard normal distribution table or calculator, we can find that P(Z > 1/6) ≈ 0.4452. Therefore, the approximate probability that it will take more than 420 minutes to process all these books is 0.4452.

(b) To find the probability that at least 25 books will be processed in the first 240 minutes, we standardize X as follows:

Z = (240 - μ) / σ = (240 - 10) / 3 = 230/3

Using a standard normal distribution table or calculator, we can find that P(Z > 230/3) ≈ 0.0002. Therefore, the approximate probability that at least 25 books will be processed in the first 240 minutes is 0.0002.

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Answer:

11. I disagree with Marisol because 23 is the only exterior angle for remote interior angles 21 and 22.

12. w = 75 not 124

Step-by-step explanation:

12. the sum of a triangle is 180, so to find "w" the student should've added to find x 44+31= 75. 75+56 = 131. 180-131= 49. x = 49. a straight line is also 180 degrees. to find "w" they should've added 56+49 = 105. 180- 105 = 75.

No.

1) Because in the cubic root of 8, as below represented in this function:

There is no other negative number that can be inserted in the Domain to yield a positive value in the Range.

Unlike, the quadratic radical function. For example:

Answer:

5

Step-by-step explanation:

\( \huge \: 2 \div \frac{2}{5} \\ \\ \huge= 2 \times \frac{5}{2} \\ \\ \huge \red{= 5}\)

Write the equation:

2 / 2/5

When dividing by a fraction flip the fraction over then multiply:

2 / 2/5 = 2 x 5/2 = (2 x 5)/2 = 10/2 = 5

The answer is 5

Answer:

The answer is "\(\bold{x^2 + 2x - 8< 0}\)"

Step-by-step explanation:

In this question, we calculates the roots value after compare with 0.  

In the first point:

\(\to \bold{x^2 - 2x - 8 < 0}\)

\(x^2 - (4-2)x - 8 < 0\\\\x^2 - 4x +2x - 8 < 0\\\\x(x - 4) +2(x - 4) < 0\\\\ \ \ \ (x - 4)(x + 2) < 0\)

In the second point:

\(\to \bold{x^2 + 2x - 8 < 0}\)

\(x^2 + (4-2)x - 8 < 0\\\\x^2 +4x -2x - 8 < 0\\\\x(x + 4) -2(x +4) < 0\\\\ \ \ \ (x + 4)(x - 2) < 0\\\)

In the third point:

\(\to \bold{x^2 - 2x - 8 > 0}\)

\(x^2 -(4-2)x - 8 < 0\\\\x^2 -4x +2x - 8 < 0\\\\x(x - 4) +2(x -4) < 0\\\\ \ \ \ (x - 4)(x + 2) < 0\\\)

In the fourth point:

\(\to \bold {x^2 + 2x - 8 > 0}\)

\(x^2 +(4-2)x - 8 < 0\\\\x^2 +4x -2x - 8 < 0\\\\x(x + 4) -2(x +4) < 0\\\\ \ \ \ (x + 4)(x - 2) < 0\\\)

As there are roots -4 and 2, whether choice B and D  is the answer.  when measuring a point within the interval from -4 to 2, it is negative, that's why second choice is correct.

Answer:

the answer is B on edge good luck

Step-by-step explanation:

lol