which is the independent and dependent variable in math

Answer:

C 65/9

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

AB = 6m ; BC= 9m ; AC= 9m

Step-by-step explanation:

Answer:

9/2 is greater than

Step-by-step explanation:

The two column proof is completed by

Statement                                            Justification

1. DE || KL                                        1. Given

2. < DFE ≅ < LF-K                            2. Vertical Angles Theorem

3. < DEF ≅ < LKF                            3. Alternate Interior Angles Theorem

4. Δ FDE ≅ Δ FLK                           4. AAS postulate

According to the AAS Postulate, triangles are congruent if two angles and the non-included side of one triangle are congruent with two angles and the non-included side of another triangle.

In the given problem the side is non included and the angels are congruent and hence completes the proof

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Given:

The line passes through the points (8,-4) and (6,2).

To find:

The slope of the line.

Solution:

If a line passes though two points \((x_1,y_1)\text{ and }(x_2,y_2)\), then the slope of the line is

\(m=\dfrac{y_2-y_1}{x_2-x_1}\)

The line passes through the points (8,-4) and (6,2). So, its slope is

\(m=\dfrac{2-(-4)}{6-8}\)

\(m=\dfrac{2+4}{-2}\)

\(m=\dfrac{6}{-2}\)

\(m=-3\)

Therefore, the slope of the line is -3.

Answer:

Step-by-step explanation:

cool

Answer:

1.5 hours

Step-by-step explanation:

The ratio is 8:1, 8 being presents, one being hours. Half of 8 is 4, and eight +4 is 12, so it needs to be an hour and a half.

Answer:

90min

Step-by-step explanation:

60min/8 = 7.5m per present

7.5 x 12 = . 90min or 1.5 hours

Answer:

it would be 655 because profit means it is a positive number

Answer:

The answers are A, B, E

Step-by-step explanation:

C and D are less but not greater than-1.6

Answer:

From my observations, AOB looks like an isosceles triangle, so A=18 and B=18. Since a triangle must add up to 180. We do 180-18-18=144. O= 144. Then, triangle BOC looks like an isosceles triangle as well. So, we do 180-144= 36 so O = 36 and then we 180-36=144/2 because two sides have the same angles giving us 72 degrees for angles B and C = 72 and for O= 36

So,

x = 72

y = 36

Answer:

Step-by-step explanation:

The rate of change, also known as the slope, between two points can be found using the formula:slope = (y2 - y1) / (x2 - x1)where (x1, y1) and (x2, y2) are the coordinates of the two points.To find the slope between the points (-1, 30) and (-6, 10), we can plug in the coordinates into the formula:slope = (10 - 30) / (-6 - (-1)) = -20/-5 = 4So the rate of change or the slope between the points (-1,30) and (-6,10) is 4.This means that the y-value of the second point is 4 units lower than the y-value of the first point for every unit you move to the left on the x-axis.

Answer:

it's A 10

Step-by-step explanation:

10+20= 30

so 15×2=30

5+10=15

2( = ×2

Answer:

20

Step-by-step explanation:

multiples

4,8,12,16,20

10,20

Answer:

Equation will be y = 5x + c

Step-by-step explanation:

For point (5, 1)

1 = 5(5) + c

Or, c = - 24

So, y = 5x - 24

The graph of the function is plotted with a graphing calculator and attached

A cubic function is a type of polynomial function of degree three. It is characterized by having the highest power of the variable raised to the exponent of three (x³).

The general form of a cubic function is:

f(x) = ax³ + bx² + cx + d

In this case, the given function is

0.00004636x³

here

a = 0.00004636

The graph of the function is plotted with a graphing calculator and attached

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Answer:

F (3)=-1

Step-by-step explanation:

The domain consists of the pre-images and the range has the images. We have the f (3)=-1 since -1 is the image of 3. When we are looking for the function of a number and we are given a diagram of such, we just need to take the value of the number it is pointing to.

Answer:

x = smaller number

3x + 15 = the larger number

x + 3x + 15 = 63

4x = 48

x = 12

3(12) + 15 = 51

so the smaller number is 12 and the larger number is 51

Answer:

Square root of 85

Step-by-step explanation:

We can envision the segment AB as the hypotenuse of a right triangle with a height of 6 units and a length of 7 units. We can use the Pythagorean Theorem to solve for the length of segment AB which is similar to distance formula.

6^2 + 7^2 = c^2

36 + 49 = c^2

c^2 = 85

c = Square root of 85.

Answer:

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

Step-by-step explanation:

We can find the function f(x) by integrating f'(x) with respect to x:

â«f'(x) dx = â«(2/(x^3) + 4e^x + 5) dx

f(x) = -1/x^2 + 4e^x + 5x + C

To find the constant C, we can use the given initial conditions:

f(-1) = 1 = -1/(-1)^2 + 4e^(-1) - 5 + C

C = 1 + 1/1 - 4e^(-1)

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

Therefore, the function f(x) is:

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

The side AC of the triangle is included between angles A and C.

An included side is a side that is in between two angles in a triangle, where the rays of the angles overlap.

Given is a triangle, we need to determine the angles which includes the side AC,

Since angle A and angle C forms side AC, AC is included between: A. ∠A and ∠C.

Thus, in triangle ABC, side AC lies in between angle A and angle C.

Therefore, since angle A and angle C forms side AC, AC is included between ∠A and ∠C.

Hence, the side AC of the triangle is included between angles A and C.

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Answer: According to the diagram below, which similarity statements are true? Check all that apply.

Step-by-step explanation: ✓ Answer: A, C, and D Step-by-step explanation:3.5.3 test

The solution is,

ACDB = 3 cm²

AAMC = 6 cm²

AABD = 6 cm²

AADC = 3 cm²

AABC = 12 cm²

A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.

here, we have,

A median divides the area of a triangle into two equal parts. The first median, CM, divides triangle ABC into two equal areas, AMC and BMC. The second median, BD, divides triangle BMC into two equal areas, BMD and CDB.

We're given that ABMD = 3 cm², so ACDB is also 3 cm². The sum of those two areas is ABMC, which is also AAMC, 6 cm².

Median AD also divides ΔAMC in half, so AADC = 3 cm² and AADM = 3 cm². AABD is the sum of ABMD (3 cm²) and AADM (3 cm²) so is 6 cm².

AABC is the sum of the smaller areas, so is 12 cm².

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Answer: Its just 5

Step-by-step explanation: Its always the first digit of the number.

We can say that the probability which is more than 192 of the confidence intervals cover the true proportions i.e, P(X > 192) is 0.9452.

Given: Confidence interval = 95%

We need to find the probability that more than 192 of the confidence intervals cover the true proportions.

P(X > 192) = ?

We know that the sample proportion follows the Normal distribution as n is large.

According to the Central Limit Theorem, the sample proportion follows the Normal distribution with mean and standard deviation as shown below:

μp = pσp = √((pq/n))

Here, p and q are population proportions and p + q = 1.

We do not know the population proportion, p or q, but we can assume that p = q = 0.5 in case we do not have any prior knowledge of p and q.

Now, we standardize the Normal distribution using z-score:

Z = (X - μp) / σp

Z = (X - np) / √((npq/n))

Here, X is the number of confidence intervals that cover the true proportions.

The sample proportion is computed as:

p = X / n

Here, n is the number of samples (towns).

Now, the z-score can be written as:

Z = (X - np) / √((npq/n)) > Z

= (192 - 200 × 0.5) / √((200 × 0.5 × 0.5/200))

= -1.6

P(Z > -1.6) = 0.9452 [from z-table]

Therefore, the probability that more than 192 of the confidence intervals cover the true proportions is P(X > 192)

= 1 - P(X ≤ 192) > 1 - P(Z ≤ -1.6) > 1 - 0.0548

= 0.9452

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By using chi-squared distribution table X3.005 for v = 18 is between 28.869 and 31.319.

For a chi-squared distribution, we are given v= 18 and we need to find X3.005.

First, we need to locate the appropriate critical value of X on the chi-squared distribution table as given below:

Degrees of freedom (v)  Probability p  0.995  0.990  0.975  0.950  0.900  0.100  0.050  0.025  0.010  0.005  0.001161  3.84  6.64  9.21  11.35  14.16  0.02  0.06  0.10  0.15  0.21  0.002162  5.99  9.21  12.44  14.68  18.47  0.05  0.10  0.15  0.22  0.31  0.005163  7.81  11.34  15.03  17.29  21.21  0.10  0.15  0.22  0.32  0.46  0.01

For v = 18 and

p = 0.995, we use the value of X from the intersection of row

v = 18 and

column p = 0.995 which is 34.805.

In other words, the critical value X0.995,18 = 34.805.

X3.005 is the point on the distribution below which 3.005 of the distribution falls and above which the rest of the distribution falls. That is, if we shade an area of 0.995 to the left of X3.005, we will be left with an area of 0.005 to the right of X3.005.

This is represented below: chi-squared distribution with v = 18  X3.005

We can see from the distribution that X3.005 lies between 28.869 and 31.319.

Therefore, X3.005 for v = 18 is between 28.869 and 31.319.

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y = - 8

I hope this helps!

Step-by-step explanation:

by subtracting 2 from both sides we get

Answer:

T = 2

Step-by-step explanation:

5 + 2T - 3 = 6

2 + 2T = 6

2T = 4

T = 2

Answer:

T=2

Step-by-step explanation:

first you're going to subtract the numbers 5-3=2

then you're going to move the constant to the right and change its sign(-2 now)

then you're going to do 6-2=4

divide both sides of the equation by 2

T=2

In statistical analysis, a hypothesis refers to a tentative explanation or prediction that is based on limited evidence and is subject to further investigation and testing. It is a statement that can be either true or false, and is typically formulated in such a way that it can be tested using statistical methods.

The hypothesis is often used to guide the research process, to help identify potential patterns or relationships in the data, and to evaluate the significance of the results.

Overall, the hypothesis plays a critical role in statistical analysis, as it provides a framework for understanding and interpreting data, and helps to ensure that research findings are reliable and valid.

A hypothesis in the context of statistical analysis is a tentative explanation or prediction about the relationship between two or more variables, which is subject to testing and empirical evaluation using statistical methods.

It is a statement that can be either true or false, and it is usually formulated in terms of the expected direction and strength of the relationship between the variables of interest.

The hypothesis is typically derived from existing theory, prior research, or common sense, and it serves as a guide for the collection, analysis, and interpretation of data in a scientific study.

The process of testing a hypothesis involves setting up null and alternative hypotheses, selecting an appropriate statistical test, collecting and analyzing data, and drawing conclusions based on the results of the analysis.

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