Triangle T R S has centroid Z. Lines are drawn from each point to the midpoint of the opposite side to form line segments T W, R V, and S U.
In triangle TRS, VZ = 6 inches. What is RZ?

Answer:

n = 4

Step-by-step explanation:

6n - 8 = 16

Add 8 on both sides.

6n = 16 + 8

6n = 24

Divide 6 into both sides.

n = 24/6

n = 4

The value of n in the equation is 4.

Answer: n = 4

Step-by-step explanation: To solve for n, we first isolate the term containing n which is 6n.

Since 8 is being subtracted from 6n,

we add 8 to both sides of the equation.

On the left, the -8 and +8 cancel out and on the right, 16 + 8 is 24.

So we have 6n = 24.

Now we can finish things off by just

dividing both sides of the equation by 6.

On the left the 6's cancel and on the right, 24 divided by 6 is 4.

So we have n = 4.

Answer:

125 questions

Answer:

125 questions

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

Answer:

4m+3n-7

Step-by-step explanation:

Its better to download 2 math apps then just one.

Answer:

m, slope = 5/4

Step-by-step explanation:

formula : y=m x+b

4y-5x=9

4y = 9+5x

y= (9+5x)/4

y = 5x/4 + 9/4

y= 5x/4 +2.25

m, slope = 5/4

Answer:

y = \(\frac{5}{4}\) x + \(\frac{9}{4}\)

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

4y - 5x = 9 ( add 5x to both sides )

4y = 5x + 9 ( divide terms by 4 )

y = \(\frac{5}{4}\) x + \(\frac{9}{4}\) ← in slope- intercept form

E = 2400/d is the equation for the illumination, E, in lux as a function of the source's distance, d, in meters.

From the given problem, we can let the illumination of light be 'E' and the distance from the source be 'd' such that if the illumination of a light source varies inversely with the square of the distance from that source, we will have:

E α 1/d

E = k/d

Given the following

d = 120 m

E = 20 lux

Substitute

20 = k/120
k = 2400

Determine the equivalent formula

E = 2400/d

Therefore  the formula for the illumination, E, in lux, as a function of the distance, d, from the source in meters is E = 2400/d

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no idea

Step-by-step explanation:

u can use google for this if u r in hurry

Answer:

The y-intercept is (0, 8)

The x-intercepts are (2, 0) and (4, 0)

The axis of symmetry is a vertical line at x = 3

The vertex is (3, -1)

The graph has a minimum value -1 at x = 3

The domain is {x: x ∈ R} ⇒ (-∞, ∞)

The range is {y: y ≥ -1} ⇒ [-1, ∞)

Step-by-step explanation:

By using the given figure

The figure represents a parabola (the graph of a quadratic function

∵ The parabola intersects the y-axis at point (0, 8)

∴ The y-intercept is (0, 8)

∵ The parabola intersects the x-axis at point (2, 0) and (4, 0)

∴ The x-intercepts are (2, 0) and (4, 0)

∵ The axis of symmetry of the parabola is a vertical line that passes

  through the vertex of it

∵ The x-coordinate of the vertex point is 3

∴ The axis of symmetry is a vertical line at x = 3

∵ The vertex of the parabola is the lowest point on the graph

∵ The lowest point is (3, -1)

∴ The vertex is (3, -1)

∵ The vertex point of the graph is the lowest

∴ The graph has a minimum value -1 at x = 3

∵ The domain is all values of x belong to the parabola

∵ x could be any real number

∴ The domain is {x: x ∈ R} ⇒ (-∞, ∞)

∵ The range is all the values of y from the lowest point

∵ The y-coordinate of the lowest point is -1

∴ The range is {y: y ≥ -1} ⇒ [-1, ∞)

The solution of the given equation is x = 4i-3.

A quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.

Given equation is  x² + 6x + 13 = 0. The solution of the equation will be done as,

x² + 6x + 13 = 0

( x + 3 )² - 3² + 13 = 0

( x + 3 )² - 9 + 13 = 0

( x + 3 )² = -4

( x + 3 ) = √-4

( x + 3 )²  = 4i

x = 4i - 3

Therefore, the solution of the given equation is x = 4i-3.

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Answer:

A and D both have a value of -4

Step-by-step explanation:

A. (-4)  = -4

B. |-4|  = positive value of what is inside = 4

C. |4| = positive value of what is inside = 4

D. -|4| = -positive value of what is inside = -4

Answer:

A. (-4)

D. -|4|

Step-by-step explanation:

Option A

\((-4) = -4\)

Option B

\(\left|-4\right|\\\\\mathrm{Apply\:absolute\:rule}:\quad \:|-a|=a\\=4\)

Option C

\(|4|\\\mathrm{Apply\:absolute\:rule}:\quad \left|a\right|=a,\:a\ge 0\\= 4\)

Option D

\(-|4|\\\\\mathrm{Apply\:absolute\:rule}:\quad \:|a|=a,\:\quad \:a\ge 0\\=-4\)

The number of books that will weigh 10 pounds or more is 121. Then the correct option is C.

The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.

The weights of books in a bookcase are normally distributed with a mean of 11.6 pounds and a standard deviation of 1.3 pounds. There are 136 books on the bookshelf.

Then the z-score when the books will weigh 10 pounds or more will be

\(z = \dfrac{10 - 11.6}{1.3}\\\\z = -1.23077\)

Then the probability will be

\(\rm P(x > 10) = 1 - P(x < 10) = 0.8909 \ or \ 89.09\%\)

89.09% of books will weigh 10 pounds or more, then the number of the books will be

→ 136 × 0.8909

→ 121.1624 ≈ 121

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If the calculated chi-square statistic is greater than the critical value, reject the null hypothesis (i.e., conclude that the two classifications are not independent).
  - If the calculated chi-square statistic is less than or equal to the critical value, do not reject the null hypothesis (i.e., we do not have enough evidence to conclude that the two classifications are not independent).

To determine if the two classifications R and C are independent, we will perform a chi-square test of independence using the data provided in the cross-classification table. Since the question asks us to use α = 0.10, we will use this significance level for our test, even though the default is Alpha 5%.

Follow these steps for the chi-square test:

1. Calculate the expected frequencies for each cell in the table, assuming R and C are independent. Use the formula:

  Expected frequency = (Row total * Column total) / Grand total

2. Calculate the chi-square statistic using the formula:

  χ² = Σ [ (Observed frequency - Expected frequency)² / Expected frequency ]

3. Determine the degrees of freedom (df) using the formula:

  df = (number of rows - 1) * (number of columns - 1)

4. Compare the calculated chi-square statistic to the critical value from the chi-square distribution table, using the specified significance level (α = 0.10) and the calculated degrees of freedom.

5. Make a conclusion:

  - If the calculated chi-square statistic is greater than the critical value, reject the null hypothesis (i.e., conclude that the two classifications are not independent).
  - If the calculated chi-square statistic is less than or equal to the critical value, do not reject the null hypothesis (i.e., we do not have enough evidence to conclude that the two classifications are not independent).

Perform these steps using the data in the cross-classification table. Based on the results, you can determine whether the two classifications R and C are independent or not at the given significance level.

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Answer:

3:05

Step-by-step explanation:

Answer: he got home at 3:05 pm!

Step-by-step explanation:

working backwards from the time stamp 5:56pm, we can just subtract the time he spent gaming and doing chores:

5:56

-0:54 mins games

-1:00 cleaning

-0:57 for homework= the time he got home, but lets make it easier!

54+57=111, in total, that's 1:51 time wise, so that simplifies it a little, be we can simplify it further, by adding the hour spent cleaning.

1:51 on homework n games + 1:00 on cleaning = 2:51 spent on home stuff in general

so lets go back to our subtraction:

5:56 pm -time stamp after all his chores

-2:51 spent on home stuff

= 3:05 pm the time he left school

When betting on a specified number in a roulette wheel, the probability of winning on a single bet is approximately 0.0263.

When betting on a specified number in a roulette wheel, there are 38 possible outcomes. Out of these, only one outcome will result in a win (the ball landing on the specified number), while the remaining 37 outcomes will result in a loss.

The probability of winning on a single bet can be calculated as follows:

Probability of winning = 1/38 ≈ 0.0263

This means that, on average, for every 38 bets placed on a specified number, you can expect to win once.

To approximate the probability of winning at least once in a series of bets, we can use the concept of complementary probability. The complementary probability is the probability of the event not occurring.

The probability of not winning on a single bet is:

Probability of not winning = 37/38 ≈ 0.9737

Now, if we want to find the probability of not winning in n bets, we can multiply the probability of not winning on a single bet by itself n times:

Probability of not winning in n bets = (37/38)^n

To find the probability of winning at least once in n bets, we can subtract the probability of not winning from 1:

Probability of winning at least once in n bets = 1 - (37/38)^n

As the number of bets increases (n gets larger), the probability of winning

at least once approaches 1, but it never actually reaches 1. However, the probability gets very close to 1 over a large number of bets.

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Hey there! I'm happy to help!

We see that points A and B are on the same horizontal line, and and they are 10 units apart. C and D are on their own horizontal line and they are also 10 apart. This means that this is a square, so we multiply one side by itself

10²=100

The area is 100 square units.

Have a wonderful day! :D

Answer:

Yes SAS

Step-by-step explanation:

2 sides are the same

1 90 degree angle for each triangle

Hence the Answer Side-Angle-Side

Answer:

C

Step-by-step explanation:

We want to simplify:

\((3a-2b)^2\)

Recall the perfect square trinomial pattern:

\((a+b)^2=a^2+2ab+b^2\)

Let a = 3a and b = -2b. Thus:

\((3a-2b)^2=(3a)^2+2(3a)(-2b)+(-2b)^2\)

Simplify:

\(=9a^2-12ab+4b^2\)

Our answer is C.

The system Ax = b has 2 free variables.

Given that A is a 5x7 matrix, and the transformation x → Ax is onto, we can determine the number of free variables in the system Ax = b.
Identify the dimensions of the matrix A:

A is a 5x7 matrix, which means it has 5 rows and 7 columns.
Determine the transformation type:

Since the transformation x → Ax is onto, it implies that every element in the codomain \((R^5)\) has a corresponding element in the domain\((R^7)\).

In other words, the system Ax = b has a solution for every b in \(R^5.\)
Determine the rank of matrix A:

Since the transformation is onto, the rank of A must be equal to the number of rows in the codomain, which is 5.
Calculate the number of free variables:

The number of free variables is the difference between the total number of columns in A and the rank of A.

In this case, it's 7 columns minus 5 (the rank of A).
Number of free variables = 7 - 5 = 2.

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1) The most interesting aspect was the application of quantitative methods in accounting and finance.

2) The most difficult part was understanding complex statistical concepts and calculations.

In the lectures, the application of quantitative methods in accounting and finance was particularly fascinating. It shed light on how statistical techniques and mathematical models can be employed to analyze financial data, identify patterns, and make informed predictions. This knowledge has significant implications for financial decision-making processes in various sectors.

However, the complex statistical concepts and calculations presented a challenge. Understanding concepts such as regression analysis, time series analysis, and hypothesis testing required careful attention and further study. Nevertheless, by persevering through the difficulties, a deeper comprehension of these quantitative methods can be achieved.

The takeaways from the unit on quantitative methods for accounting and finance are manifold. Firstly, it equips individuals with a solid foundation in quantitative analysis, enabling them to better comprehend and interpret financial data. This empowers professionals in the field to make informed decisions based on evidence and analysis.

Secondly, the unit enhances analytical skills by introducing various statistical techniques and models, enabling individuals to extract valuable insights from financial data. Lastly, the knowledge gained from this unit allows individuals to contribute more effectively to financial planning, risk assessment, and strategic decision-making within organizations.

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Answer:

x=-7

Step-by-step explanation:

Hi there!

We are given the following equation:

24=6(-x-3)

And we want to solve it for x

Our goal is to isolate 1x by itself on one side

We'll need to start by simplifying 6(-x-3)

6(-x-3), is the same as 6(-x) + 6(-3).

We can rewrite the equation then as:

24=-6x-18

Now we'll need to work on isolating 1x by itself

Add 18 to both sides to remove it from the right

24=-6x-18

+18      +18

__________________

42=-6x

Now there's nothing on the right side, but remember we want 1x, not -6x.

Dividing any number by itself gets 1. So we'll divide both sides by -6

-7=x (can be written as x=-7)

Hope this helps!

The value of x in the equation 24 = 6(-x-3) is -7 .

Equation: When the value of two mathematical expressions are same is called as equation.

Given, that equation : 24 = 6(-x-3)

So, Solve for x in the equation .

24 = 6(-x-3)

Firstly open the brackets,

24 = -6x -18

Combine like terms,

24 + 18 = -6x

42 = -6x

x = \(\frac{42}{-6}\)

Hence the value of x is,

x = -7

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If the raisin swells to twice its original size, relative to the water, the raisin must have been a)hypertonic solution. So, correct option is a.

Hypertonic alludes to an answer with higher osmotic strain than another arrangement. At the end of the day, a hypertonic arrangement is one in which there is a more noteworthy fixation or number of solute particles outside a layer than there are inside it.

Hence, correct option is a.

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(Complete question) is:

You are bored at a lunch meeting and surreptitiously place a raisin in your glass of iced tea. The raisin shrinks to half its original size. The raisin must have been a __?__ solution.

a)hypertonic

b)aquatonic

c)hypotonic

d)isotonic

Answer: 207$ I think..

Answer:

65

Step-by-step explanation:

130+75+90+x=360

x=65

A solution of a system of linear equations is (0,−4).

What is Systems of Linear Equations?

A direct equation is an equation in two variables, and when it's graphed, a straight line is formed. The line is created by the combination of corresponding values that satisfy the equation. utmost generally, direct equations use the variables x and y so the corresponding values can be colluded as (x,y) pairs on the  co-ordinate plane .

Main body:

A system of direct equations is a group of two or further direct equations. The result to any system of direct equations is the point where the lines cross on a graph, still, because lines can be resemblant or coinciding, it's possible for a system to have no result( parallel) or infinitely numerous results( coinciding).

y = 3x−4

y=−x/2−4

now solve:

3x=−3/2x

1/2x=0

x=0

If x=0

, solve for the corresponding y-coordinate:

y=3(0)−4

y=−4

So, the solution is (0,−4).

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Step-by-step explanation:

since the two angles from a straight line, they make a linear pair and linear pairs are supplementery. by the angle addition postulate, you can determine that the two angles sum to 180. substituting the one angle mearsure that you are guven and using a bit of simple arithmetic and the subtraction property of equality, you can determine that the other angle,angle YXZ, is 45 degrees. I hope this is helpful

Yes, If a null hypothesis is rejected at the 0.02 level of significance, it means that the probability of observing such a result by chance is less than 2%. Option A is the correct answer.

The level of significance, also known as alpha, is the probability of making a Type I error, which is the rejection of a null hypothesis when it is actually true. Commonly used levels of significance are 0.05 and 0.01, but they can also be set to any value depending on the context and the researcher's preference.

If a null hypothesis is rejected at the 0.02 level of significance, it means that there is strong evidence against the null hypothesis and the result is statistically significant.

This also implies that the probability of observing such a result by chance is less than 2%. Therefore, if the null hypothesis can be rejected at a lower level of significance, it automatically implies that it can also be rejected at a higher level of significance.

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Answer:Answer is 2,945,208

Step-by-step explanation:Hope it helps tara:)