In the figure, m23 = 110° and mz4 = 145°. Find the measures of 21 and 22.
m21 =
m22=
4
2
D
1
3

Outliers exits depending on the scatter plots. They exists because of errors.

To identify outliers, we need to examine the data distribution and observe any data points that are notably different from the majority of the data. Outliers can arise due to various reasons, such as measurement errors, data entry mistakes, or genuinely extreme values.

The correlation coefficient (r) measures the strength and direction of the linear relationship between two variables. However, the presence of outliers can affect the correlation coefficient by pulling it closer to or farther away from zero, depending on the position and influence of the outliers.

To determine whether there are outliers, it is necessary to analyze the data points visually using methods like scatter plots or box plots. Observing any data points that fall far away from the overall pattern or extend beyond the typical range of values can indicate potential outliers.

Once identified, outliers are considered as data points that deviate significantly from the general trend and behavior of the dataset. They are often treated separately during data analysis to assess their impact on the correlation and to evaluate the robustness of the relationship between the variables of interest.

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Dean can obtain a sample that is most representative of the entire student body and obtain accurate results about the percentage of students interested in painting

To obtain a representative sample of students for the interview, Dean could use a random sampling method. He could randomly select students from different grades, genders to ensure that the sample is diverse and represents the entire student body. He could also distribute the survey in different areas of the school, such as the cafeteria, the library, or the student center, to ensure that all students have an equal chance of being included in the sample. It is important that Dean ensures that the sample size is large enough to get accurate results. For example, if Dean wants to know the percentage of students interested in painting with a margin of error of 5% and a confidence level of 95%, he would need a sample size of approximately 385 students (based on a total population of 1000 students). By using a random sampling method, Dean can obtain a sample that is most representative of the entire student body and obtain accurate results about the percentage of students interested in painting

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Answer:

The correct option is

This is a polynomial function of degree 7 with a leading coefficient of -1

Step-by-step explanation:

Functions that consist of a variable such as x raised to positive integer powers which are equal to or larger than zero added together to make the function are known as polynomial functions

Therefore, the function in the question which is f(X) = x⁴ × (2 - x³) + 1

Which can be expanded as follows

f(x) = 2·x⁴ - x⁷ + 1, which is the same as given as follow equation;

f(x) = -x⁷ + 2·x⁴ + 1

Which is  polynomial function with a leading coefficient of -1 as it consists of only whole number positive powers of x including the powers of x 4 and 7  

Therefore, the correct option is that f(x) is a polynomial function of degree 7 with a leading coefficient of -1.

The quartile deviation of the first six whole numbers is 1.5.

What exactly are whole numbers?

Whole numbers are a set of numbers that includes all positive integers  and their negatives. Whole numbers do not include fractions or decimals.

In other words, whole numbers are the counting numbers, zero, and the negative of the counting numbers. Whole numbers are used to represent quantities that can be counted, such as the number of people in a room, the number of books on a shelf, or the number of apples in a basket.

Now,

To find the quartile deviation of the first six whole numbers (1, 2, 3, 4, 5, 6), we first need to find the first and third quartiles.

The median of the first half of the data is the first quartile (Q1). The median for the data set 1, 2, 3 is 2, hence Q1 = 2.

The median of the second half of the data is the third quartile (Q3). The median for the data set 4, 5, 6 is 5, hence Q3 = 5.

Now we can calculate the quartile deviation:

quartile deviation = (Q3 - Q1) / 2

= (5 - 2) / 2

= 1.5

Therefore, the quartile deviation of the first six whole numbers is 1.5.

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Answer:

domain(-3,\infty )range(-\infty ,\infty )

Step-by-step explanation:

D

In the equation y = $7.20x + $790, "y" represents the total cost. An equation is a mathematical statement that shows the relationship between two or more variables. In this equation, there are two variables - "x" and "y". The variable "x" represents the number of units produced or sold, while "y" represents the total cost.

The coefficient of "x" in the equation, which is 7.20, represents the variable cost per unit. This means that for each unit produced or sold, there is an additional cost of $7.20. The constant term, which is $790, represents the total fixed costs. Fixed costs are those costs that do not vary with the number of units produced or sold.To find the total cost of producing or selling a certain number of units, we can plug in the value of "x" into the equation and solve for "y". For example, if we want to find the total cost of producing 100 units, we can substitute x=100 into the equation:
y = $7.20(100) + $790
y = $720 + $790
y = $1510
Therefore, the total cost of producing 100 units is $1510. In summary, "y" represents the total cost in the given equation, which is determined by both fixed and variable costs.
In the equation y = $7.20x + $790, "y" represents option C: total costs. This equation has two components: "$7.20x" represents the variable costs per unit, where x is the number of units, and "$790" represents the total fixed costs. By adding these two components together, you get the total costs (y) for producing x units.

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Answer:

(f-g)(x)=4x^2+1-x^2+5

=3x^2+6

=3(x^2+2)

The volume of a cylinder is given by:

In this case the volume is 100 cubic inches and the height is 12 inches; plugging this values in the equation above and solving for r we have:

Therefore the radius is 1.6 inches.

Answer:

x = 145, y = 35

Brainliest, please!

Step-by-step explanation:

y = 35 degrees because it and the original 35 degree angle are alternate interior angles. Alternate interior angles are congruent, or the same.

x is supplementary to y. x + y = 180. x + 35 = 180. x = 180 - 35. x = 145

In Herrnstein's matching equation, the letters and numbers to the left of the equals sign refer to behaviour.

THE MATCHING LAW

Herrnstein's Experiment Herrnstein (1961) conducted an experiment with pigeons in a room with two response buttons, red and white. Each key was assigned its own VI gain schedule. For example, under one condition, the left button pick was boosted on a VI 135 second schedule, and the right button pick was boosted on a VI 270 second schedule.

After the birds have learned as much as possible about this electoral situation, how do they distribute their responses? We trained them for days and then measured their reactions. As is often the case with VI schedules, birds returned many responses for each reinforcer received. Most interesting, however, is that in this condition, where two-thirds of the reinforcers came from the left button, the birds performed about two-thirds of the responses with the left button. That is, the proportion of left button responses equaled or matched the proportion of reinforcers delivered by the left button. In another condition, two birds received only about 15% of reinforcers from the left key and responded about 15% to that key.

Based on these results, Herrnstein proposed the following general principle for individual behavior when presented with alternative sequences. So, what you think makes sense rather than other options available at that particular moment.

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\( \sf \: 34.992 \div 0.81 = \tt43.2\)

43.2

Make the question easier to look,

34.992 / 0.81

= 34992 / 810

Simplify the question,

34992 / 810

= 432/10

Change to the decimal number,

432/10

= 43.2

So in conclusion, the answer of 34.992 : 0.81 is 43.2

A geometric series is the sum of an unlimited number. The common ratio of the geometric sequence is 3.

A geometric series is the sum of an unlimited number of terms with a fixed ratio between them.

Given the value of a₁ is 10, while the value of a₅ is 810, therefore, the common ratio can be written as,

\(\dfrac{a_5}{a_4} \times \dfrac{a_4}{a_3} \times \dfrac{a_3}{a_2}\times \dfrac{a_2}{a_1} = r \times r \times r \times r\\\\\\\dfrac{a_5}{a_1} = r^4\\\\\\dfrac{810}{10} = r^4\\\\\sqrt[4]{81} = r\\\\r = 3\)

Hence, the common ratio of the geometric sequence is 3.

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The length of an arc using two tangents  ≈ 10.47 inches.

To find the length of an arc using two tangents, first draw two tangents to the arc from the point of tangency. Then calculate the angle formed by the two tangents. This angle is known as the included angle. Lastly, use the formula for the length of an arc to calculate the length of the arc.

The formula for the length of an arc is:

Length of Arc = (Angle in Radians) * (Radius of the Circle)

For example, if the angle formed by the two tangents is 60 degrees and the radius of the circle is 10, then the length of the arc would be:

Length of Arc = (60 * (π/180)) * 10

Length of Arc = (π/3) * 10

Length of Arc = 10π/3

Length of Arc ≈ 10.47 inches

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Answer: First, order them in the order of smallest to largest, which is 40, 60, 70, 80, 80. Then, since there are 5 numbers, the 3rd number, which is 70, would be the median.

Then, add all numbers:

40+60+70+80+80=330

and divide that by 5:

330/5=66

So, the median is 70 and the mean is 66.

Step-by-step explanation:

The volume of the solid is π/3.

The regions bounded by the curve x = y - y^3 in the first quadrant and the y-axis are to be revolved around the x-axis and the line y = 1, respectively.

The solids generated by revolving the region in the first quadrant bounded by the curve x=y-y3 and the y-axis about the x-axis are obtained by using disk method.

Therefore, the volume of the solid is:

V = ∫[a, b] π(R^2 - r^2)dx Where,R = radius of outer curve = yandr = radius of inner curve = 0a = 0andb = 1∫[a, b] π(R^2 - r^2)dx= π∫[0, 1] (y)^2 - (0)^2 dy= π∫[0, 1] y^2 dy= π [y³/3] [0, 1]= π/3

The volume of the solid is π/3.The solids generated by revolving the region in the first quadrant bounded by the curve x=y-y3 and the y-axis about the line y = 1 can be obtained by using the washer method.

Therefore, the volume of the solid is:

V = ∫[a, b] π(R^2 - r^2)dx Where,R = radius of outer curve = y - 1andr = radius of inner curve = 0a = 0andb = 1∫[a, b] π(R^2 - r^2)dx= π∫[0, 1] (y - 1)^2 - (0)^2 dy= π∫[0, 1] y^2 - 2y + 1 dy= π [y³/3 - y² + y] [0, 1]= π/3

The volume of the solid is π/3.

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Let’s start with the easy part: half of the base is 3.

Therefore, 3 x h + 1 = 18

3 x h = 3h and 3 x 1 = 3

3h + 3 = 18

To solve these equations, you have to do the inverse. First you would need to minus 3:

3h = 15

3h is a simpler way of saying 3 x h, so the inverse would be a divide.

h = 5

Answer:

this is a required answer.

Answer:(0.3)^2 in expanded form is:

(0.3) x (0.3) = 0.09

So (0.3)^2 is equal to 0.09.

Step-by-step explanation:

Answer:

A & C

Step-by-step explanation:

Factors of 18 : 1, 2, 3, 6, 9, 18

18

/\

2 9

/\

3 3

Prime factorization : 18 = 2x3x3

18

/\

3 6

/\

2 3

Prime factorization : 18 = 3x2x3

he equation of the line in standard form with slope 2/3 and y-intercept 2 is  -2x + 3y - 6 = 0.

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. We are given that the slope is 2/3 and the y-intercept is 2, so we can substitute these values into the slope-intercept form to get:

y = (2/3)x + 2

To convert this equation to standard form Ax + By = C, we can multiply both sides by the denominator of the slope to get rid of fractions:

3y = 2x + 6

Now we can rearrange this equation to the standard form by moving all the terms to one side of the equation:

2x - 3y + 6 = 0

This is the equation of the line in standard form, where A = 2, B = -3, and C = 6. Note that to ensure that A is positive, we can multiply both sides of the equation by -1 to get:

-2x + 3y - 6 = 0

So the equation of the line in standard form with slope 2/3 and y-intercept 2 is -2x + 3y - 6 = 0.

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Answer:

The formula for finding the Circumference of a circle is: C = πd where d represents the diameter of the circle. The formula may also be written: C = 2πr where r is the radius of the circle. Example 1: The diameter of a circle is 16 cm.

Step-by-step explanation:

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The values for the variable z, for which `f(z) = g(z)` are `z = -1` and `z = -5`.

Let us find all values for the variable z, for which f(z) = g(z).

Here are the details on how to solve the problem step by step:

Given,

`f(x) = x² + 6x + 10`

`g(z) = 5`.

We need to find all values for the variable z, for which

`f(z) = g(z)`.

Therefore, `f(z) = g(z)

=> z² + 6z + 10 = 5`.

Now, let's solve this quadratic equation.

`z² + 6z + 10 = 5`

`z² + 6z + (10 - 5) = 0`

`z² + 6z + 5 = 0`

Now, let's solve for z using the quadratic formula:

`z = [-6 ± √(6² - 4 × 1 × 5)] / 2 × 1`

`z = [-6 ± √16] / 2`

`z = [-6 ± 4] / 2`

Now, we have two values of z:

`z = (-6 + 4)/2` and `z = (-6 - 4)/2`

`z = -1` and `z = -5`

Therefore, the solutions for `z` are `z = -1 and z = -5`.

Thus, the values for the variable z, for which `f(z) = g(z)` are `z = -1` and `z = -5`.

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Answer:

60

Step-by-step explanation:

-5(-2-10)

according to pemdas...solve parenthesis first

-5(-12)

= 60

Answer:

60

Step-by-step explanation:

x ( y - x y )

where x= -5 and y= -2

----------

-5(-2-(-5)(-2))=-5(-2-10)= -5(-12)= 60

Answer:

\( 5 {(x - 4)}^{2} \)

Step-by-step explanation:

\(5 {x}^{2} - 40x + 80 \\ =5( {x}^{2} - 8x + 16) \\ = 5 ( {x}^{2} - 8x + {4}^{2} ) \\ = 5 {(x - 4)}^{2} \)

Answer:

\(\boxed{\sf \ \ \ 5(x-4)^2 \ \ \ }\)

Step-by-step explanation:

hello

step 1 - divide by 5

\(5x^2-40x+80=5(x^2-8x+16)\)

step 2 - solving the square

\((x-4)^2=x^2-8x+16\)

Finally, to answer the question

\(5x^2-40x+80=5(x-4)^2\)

hope this helps

a) The value of the integral \($\int_0^4 [8f(x)+3g(x)]dx$\) is \($-32$\) . b) The value of the integral \($\int_2^4 [f(x)+g(x)]dx$\) is -7.

In part (a), we can use the linearity property of definite integrals, which states that \($\int_a^b [cf(x)+dg(x)]dx = c\int_a^b f(x)dx + d\int_a^b g(x)dx$\). Therefore,

\($$\int_0^4 [8f(x)+3g(x)]dx = 8\int_0^4 f(x)dx + 3\int_0^4 g(x)dx.$$\)

Substituting the given values, we have \($8\cdot 8 + 3\cdot(-8) = -32$\).

For part (b), we can split the integral into two parts using the additivity property: \($\int_a^c f(x)dx + \int_c^b f(x)dx = \int_a^b f(x)dx$.\)  Thus,

\($$\int_2^4 [f(x)+g(x)]dx = \int_2^4 f(x)dx + \int_2^4 g(x)dx.$$\)

Substituting the given values, we have \($(-2) + (-8) = -7$\).

Therefore, the value of the integral in part (a) is -32, and the value of the integral in part (b) is -7.

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The likelihood of the event is 1/2

Answer:

about 85%

Step-by-step explanation:

(98/114)*100=85.96%