In △ABC
, a=31
, b=22
, and c=18
. Identify m∠A
rounded to the nearest degree.

To find the rejection region for a test of independence of two classifications with a contingency table containing r rows and c columns, we need to compare the calculated Chi-squared test statistic with the critical values from the Chi-squared distribution table.

The rejection region is determined based on the significance level (α) and the degrees of freedom (df). For the given cases, with different α values and contingency table dimensions, we need to refer to the provided pages of the Chi-squared critical values table to determine the specific values that fall in the rejection region.

a. For α = 0.05, r = 3, and c = 4:

To find the rejection region, we calculate the Chi-squared test statistic from the contingency table and compare it with the critical value for α = 0.05 and df = (r - 1) * (c - 1) = 2 * 3 = 6.

Referring to the provided pages of the Chi-squared critical values table, we locate the value that corresponds to α = 0.05 and df = 6, which determines the rejection region.

b. For α = 0.10, r = 3, and c = 4:

Using the same process as in part a, we calculate the Chi-squared test statistic and compare it with the critical value for α = 0.10 and df = 6 from the Chi-squared critical values table to determine the rejection region.

c. For α = 0.01, r = 2, and c = 3:

Similarly, we calculate the Chi-squared test statistic and compare it with the critical value for α = 0.01 and df = (r - 1) * (c - 1) = 1 * 2 = 2 from the Chi-squared critical values table to find the rejection region.

The specific values for the rejection regions can be obtained by referring to the provided pages of the Chi-squared critical values table for each case (a, b, c).

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Answer:

B) 10 m

Step-by-step explanation:

Area is 20 and Height is 4

Ok so

AREA of a triangle is =1/2Base Times Height

work back

Area=20

Height=4

b=Base

20=1/2b*4

Simplify both sides of the equation.

20=2b

Flip equation

2b=20

Divide both sides by 2

b=10

Base=10 m

Answer:

10m

Step-by-step explanation:

Area of a triangle:  \(\frac{1}{2}\)bh

where 'b' = base and 'h' = height

plug in known values:  20 = \(\frac{4b}{2}\)

cross-multiply:  4b = 40

b = 10

Answer:

A

Step-by-step explanation:

6/3

I messed up I see what I did wrong, so I leave it hereeee

he required solution is \(y=c_1e^{2x}+c_2e^{-2x}+c_3\sqrt2\cos(\sqrt2x)+c_4\sqrt2\sin(\sqrt2x)\)

where \(c_1,c_2,c_3\) and \(c_4\) are constants.

Let’s assume the general solution of the given differential equation is,

y=e^{mx}

By taking the derivative of this equation, we get

\(\frac{dy}{dx} = me^{mx}\\\frac{d^2y}{dx^2} = m^2e^{mx}\\\frac{d^3y}{dx^3} = m^3e^{mx}\\\frac{d^4y}{dx^4} = m^4e^{mx}\\\)

Now substitute these values in the given differential equation.

\(\frac{d^4y}{dx^4}-2\frac{d^2y}{dx^2}-8y\\=0m^4e^{mx}-2m^2e^{mx}-8e^{mx}\\=0e^{mx}(m^4-2m^2-8)=0\)

Therefore, \(m^4-2m^2-8=0\)

\((m^2-4)(m^2+2)=0\)

Therefore, the roots are, \(m = ±\sqrt{2} and m=±2\)

By applying the formula for the general solution of a differential equation, we get

General solution is, \(y=c_1e^{2x}+c_2e^{-2x}+c_3\sqrt2\cos(\sqrt2x)+c_4\sqrt2\sin(\sqrt2x)\)

Hence, the required solution is \(y=c_1e^{2x}+c_2e^{-2x}+c_3\sqrt2\cos(\sqrt2x)+c_4\sqrt2\sin(\sqrt2x)\)

where \(c_1,c_2,c_3\) and \(c_4\) are constants.

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Answer:

25x-10y-30

Step-by-step explanation:

5(5x - 2y - 6)=(5*5x)(-5*2y)(-5*6)=25x-10y-30

According to the question The work done as the object moves from \(\(x=1\) to \(x=5\)\) under the force \(\(F(x) = 5x^2 + 2\)\) is approximately \(\(214.67 \, \mathrm{J}\).\)

To calculate the work done as the object moves from \(\(x=1\) to \(x=5\)\) under the force \(\(F(x) = 5x^2 + 2\)\), we can use the formula for work:

\(\[W = \int_{x_1}^{x_2} F(x) \, dx\]\)

where \(\(x_1\) and \(x_2\)\) are the initial and final positions, respectively.

Substituting the given values, we have:

\(\[W = \int_{1}^{5} (5x^2 + 2) \, dx\]\)

To evaluate the integral, we can expand the expression inside the integral and then integrate each term individually.

\(\[W = \int_{1}^{5} 5x^2 \, dx + \int_{1}^{5} 2 \, dx\]\)

Integrating each term:

\(\[W = \left[\frac{5}{3}x^3\right]_{1}^{5} + \left[2x\right]_{1}^{5}\]\)

Evaluating the definite integrals:

\(\[W = \left(\frac{5}{3}(5^3) - \frac{5}{3}(1^3)\right) + (2(5) - 2(1))\]\)

Simplifying the expression:

\(\[W = \left(\frac{5}{3}(125) - \frac{5}{3}\right) + (10 - 2)\]\)

\(\[W = \left(\frac{625}{3} - \frac{5}{3}\right) + 8\]\)

\(\[W = \frac{620}{3} + 8\]\)

\(\[W = \frac{620+24}{3}\]\)

\(\[W = \frac{644}{3} \approx 214.67 \, \mathrm{J}\]\)

Therefore, the work done as the object moves from \(\(x=1\) to \(x=5\)\) under the force \(\(F(x) = 5x^2 + 2\)\) is approximately \(\(214.67 \, \mathrm{J}\).\)

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Answer:

  an = 3n^2 +2n +5

Step-by-step explanation:

If the n-th term is given by ...

  an = a·n^2 +bn +c

Then we can write 3 equations in a, b, c:

  10 = a·1 +b·1 + c

  21 = a·4 +b·2 +c

  38 = a·9 +b·3 +c

Subtracting each equation from the next gives ...

  11 = 3a +b

  17 = 5a +b

Then subtracting the first of these from the second, we have ...

  6 = 2a

  3 = a

Substituting in to the first of the reduced equations, we find ...

  11 = 3(3) +b   ⇒   b = 2

And substituting these values into the first equation gives ...

  10 = 3 +2 +c   ⇒   c = 5

The expression for the n-th term is ...

  an = 3n^2 +2n +5

Answer:

The range of \(g(x)\) is \([0,7]\).

Step-by-step explanation:

We must remember that range of function \(f(x)\) corresponds to the set of values of \(y\) in the graph (+y direction). Given that \(g(x)\) is a stretched version of \(f(x)\), the range of \(g(x)\) corresponds to the range of \(f(x)\) multiplied by 4. Then,

\(Ran\{g(x)\} = 4\cdot Ran\{f(x)\}\)

\(Ran\{g(x)\} = 4\cdot [0,1.75]\)

\(Ran\{g(x)\} = [0, 7]\)

The range of \(g(x)\) is \([0,7]\).

As from question asking the probability of A be the event "the outcome is a divisor of 4".

According to given table there are three divisor of 4 i.e 1 and 2 and 4 so the probability for A is:

Answer:

129.9

Step-by-step explanation:

Deltamath

Answer:

usage patterns are a variable used in market segmentation.

Step-by-step explanation:

Usage patterns are a variable used in behavioral segmentation.

Behavioral segmentation is a marketing strategy that divides a market into different segments based on consumer behavior, specifically their patterns of product usage, buying habits, and decision-making processes. This segmentation approach recognizes that customers with similar behavioral characteristics are likely to exhibit similar preferences and respond in a similar manner to marketing initiatives.

Usage patterns, as a variable, help marketers understand and classify customers based on how they interact with a product or service. This can include factors such as the frequency of product usage, the amount of product used, the timing of purchases, brand loyalty, product benefits sought, and other behavioral indicators.

By analyzing usage patterns, marketers can identify distinct segments within their target market and tailor marketing strategies to meet the unique needs and preferences of each segment. This enables companies to develop more targeted marketing campaigns, optimize product offerings, improve customer satisfaction, and drive customer loyalty.

Overall, behavioral segmentation, including the consideration of usage patterns, allows companies to better understand and connect with their customers by aligning their marketing efforts with specific behaviors and motivations.

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Answer:

Corresponding

Step-by-step explanation:

When two lines are crossed by another line (which is called the Transversal), the angles in matching corners are called corresponding angles.

Answer:

6 and 16

Step-by-step explanation:

→ Find the most recurring number in sequence A

6

→ Find the most recurring number in sequence B

16

Answer:

4 pepperoni pizzas

Step-by-step explanation:

3 cheese => 1 pepperoni

12cheese (3x4) => 4 (1x4) pepperoni

The formula for the area of a circular petri dish can be represented as A = πr², where "A" represents the area and "r" represents the radius.

To find the approximate increase in the area when the radius increases from r₁ mm to r₂ mm, we can calculate the difference between the areas by subtracting the initial area (A₁ = πr₁²) from the final area (A₂ = πr₂²). This can be expressed as ΔA = A₂ - A₁ = πr₂² - πr₁².

In the second paragraph, let's explain the formula and how to calculate the approximate increase in the area of the bacterial colony on the petri dish. The area of a circular shape is given by the formula A = πr², where "A" represents the area and "r" represents the radius. By substituting the initial radius, r₁, into the formula, we can find the initial area, A₁ = πr₁².

Similarly, by substituting the final radius, r₂, into the formula, we can find the final area, A₂ = πr₂². To calculate the approximate increase in area, we subtract the initial area from the final area: ΔA = A₂ - A₁ = πr₂² - πr₁². This formula allows us to find the difference in the areas of the bacterial colony on the petri dish when the radius increases from r₁ to r₂.

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Since there are multiple colors, the theoretical probability of selecting any one color would be 1/total number of colors, which is 1/6.

Theoretical probability is the probability of an event occurring based on all possible outcomes. In this case, if the bag contained an equal number of each color of bead, then the theoretical probability of selecting any one color of bead would be 1/total number of colors.

To find the experimental probability, we need to calculate the number of times each color was selected and divide by the total number of selections. Since each student is replacing the bead, the probability of selecting any one color of bead remains the same. Therefore, the experimental probability of selecting any one color of bead should also be 1/6.

However, due to the randomness of the selection process, the experimental probability may not be exactly equal to the theoretical probability. The color for which the experimental probability is closest to the theoretical probability would be the color that has been selected the most number of times, as this would provide the most accurate representation of the experimental probability.

Therefore, we need to record the number of times each color has been selected and calculate the experimental probability for each color. The color with the experimental probability closest to 1/6 would be the color for which the theoretical probability is closest to the experimental probability.

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Answer:

15/7 = 2.14 or 2 1/7

Hope This Helps!

Answer:

2 1/7

Step-by-step explanation:

15/7 is an improper fraction, in the picture, I have shown you the steps to make a proper fraction to improper

The statement-

In a control chart, the UCL and LCL represent plus or minus three standard deviations is true

What is control chart?

Control chart is a graph used to measure the how a change occurs in a process over time. There are three lines in a control chart. A central line which denotes the average, a lower line which denotes the lower control limit and an upper line which denotes the upper control limit.

In a control chart, the UCL is the Upper Control Limit and LCL is the Lower Control Limit.

LCL and UCL are three standard deviation from the mean of the data set

If s is the standard deviation of the sample, -3s  is the LCL and +3s is the UCL

So the statement,

In a control chart, the UCL and LCL represent plus or minus three standard deviations is true

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Sir Yesuba took Rs 1600 from the bank.

Concept : Addition and subtraction from an unknown quantity which can be calculated easily using variables.

Given: The Amount given to son = 3/8x

The Amount given to daughter = 1/4x

Money left = Rs 600

Let the amount taken by him be equal to Rs x.

The Amount given to son = 3/8x

The Amount given to daughter = 1/4x

x - (3/8x + x/4) = 600

x- x/8 = 600

7x/8=600

x= Rs1600

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The surface area is approximately 161.47 square units.

To find the surface area generated by revolving the curve about the x-axis, we can use the formula:

S = 2π∫[a,b] f(x)√(1+[f'(x)]^2) dx

where f(x) is the given curve.

Here, f(x) = 36 - 2√(x^2+1) and we need to revolve it about the x-axis.

To find the limits of integration, we note that the curve is symmetric about the y-axis and therefore we can find the surface area of one half of the curve and multiply it by 2. So, we need to integrate from 0 to 4.

S = 2π∫[0,4] (36 - 2√(x^2+1))√(1+((x(-2x))/((x^2+1)^2))) dx

S = 2π∫[0,4] (36 - 2√(x^2+1))√((x^4+4x^2+1)/(x^4+1)^2) dx

Simplifying the integrand,

S = 2π∫[0,4] (36(x^4+1) - 2(x^2+1))√((x^4+4x^2+1)/(x^4+1)^2) dx

S = 2π∫[0,4] (36x^4-70x^2+34)√((x^4+4x^2+1)/(x^4+1)^2) dx

This integral is difficult to evaluate analytically, but it can be approximated using numerical integration techniques. Using a calculator or software, we find that the surface area is approximately 161.47 square units.

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Table 3,4,5,6,7 has a greater value of the unit rate than the unit rate of the graph.

A diagram depicting the relationship between two or more variables, each measured along with one of a pair of axes at right angles.

The unit rate of the graph is;

\(r_g = \frac{26-0}{14-0} \\\\ r_g = \frac{13}{7} \\\\ r_g = 1.857\)

The unit rate for the given tables;

\(\rm r_1 = \frac{26-13}{14-7}\\\\ r_1 = \frac{13}{7} \\\\ r_1 = 1.857\)

\(\rm r_2 = \frac{26-13}{14-7} \\\\ r_2 = \frac{9}{5} \\\\ r_2 = 1.8 < 1.818\)

\(r_3 = \frac{34-17}{18-9} \\\\r_3 = \frac{17}{9} \\\\ r_3 = 1.889 > 1.818\)

\(\rm r_4 = \frac{42-21}{22-11} \\\\ r_4 = \frac{21}{11} \\\\ r_4 = 1.909 > 1.818\)

\(\rm r_5 = \frac{38-19}{20-10} \\\\ r_5 = \frac{19}{10}\\\\ r_ 5 = 1.9 > 1.818\)

\(\rm r_6 = \frac{50-25}{26-13} \\\\ r_6 = \frac{25}{13} \\\\ r_6 = 1.923 > 1.818\)

\(r_ 7 = \frac{46-23}{24-12} \\\\ r_7 = \frac{23}{12} \\\\r_7 = 1.917 > 1.818\)

Hence, table 3,4,5,6,7 has a greater value of the unit rate than the unit rate of the graph.

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The sketch of the graph of the logarithm function is added s an attachment

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

y = 3log₂(-x) - 9

The above equations is an illustration of a logarithm function that has been transformed using the following

Next, we plot the graph using a graphing tool

The graph of the logarithm function is added as an attachment

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Answer:

Can I be marked brainliest?

x = -1

Step-by-step explanation:

Switch it around

4 - 3x = 7

-3x + 4 = 7

Subtract 4 from both sides of the equation

-3x + 4-4 = 7-4

Simplify

-3x = 3

Divide both sides of the equation by the same term

-3x/-3 = 3/-3

x = -1

Answer:

-1

Step-by-step explanation:

 7=4-3x     Add like terms

-4  -4

3=-3x       Now divide

/3  /3

x=-1

Answer:

#11: last option is answer

#12: first option is answer

Step-by-step explanation:

#11) 5x + 6 ≤ 11

     5x ≤ 5

       x ≤ 1  to graph this you need a solid dot on 1 and shading to the left

#12) 5p+ 4 > 14

       5p > 10

        p > 2  to graph this you need an open dot on 2 and shading to the right

Answer:

11.  5x + 6 <= 11.

12. 5p + 4 > 14.

Step-by-step explanation:

11.  THE GRAPH shows that x <= 1.

So it is 5x + 6 <= 11  because

5x <= 5

x <= 1.

12. THE GRAPH shows that p > 2.

So it is 5p + 4 > 14.

5p + 4 > 14

5p > 10

p > 2.

15/19 + 14/19 = 29/19

Step-by-step explanation:

Add the number of balls in the basket together.

Subtract the number of white balls from the sample space ( the total amount of balls) your answer is written over the sample space and the same process is done for the green ball

Answer:

hypotenuse + adjacent + opposite

Step-by-step explanation:

The three names of the sides on a triangle

The price per hour for the service business, based on a 75% profit with a cost per hour of $30, is $52.50.

To calculate the price per hour for a service business with 75% profit and a cost per hour of $30, we need to take into account the desired profit margin, which is 75%. This means that the total price per hour should be 175% of the cost per hour, since 100% covers the cost and 75% is the desired profit.

To calculate the total price per hour, we can multiply the cost per hour by 1.75 (175%). This gives us a total price per hour of $52.50. This means that for every hour of service provided, the business will charge $52.50, with $30 covering the cost of providing the service, and $22.50 (75% of $30) being the profit margin.

It is important to note that the price per hour may vary depending on factors such as competition, market demand, and value proposition. It is recommended to conduct a thorough market analysis and consider these factors when determining the pricing strategy for a service business.

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