Which object models a line ?
A. a fly
B. a wall
C. a meter stick
D. a television

Answer:

x = 6

Step-by-step explanation:

The centroid (T) always splits the lines so one side is 2/3 and the second is 1/3 of the entire median line. This can also be written as 2x + x. That being said, ET isn't equal to EM, it's only equal to 2/3 of EM so that's what you have to write.

3x + 2 = 2/3 * 5x

3x + 2 = 10/3 x

*3 (3x+2) = *3(10/3x)

9x+6 = 10x

-9x      -9x

x = 6

The value of x is 6.

The polygon has three sides. the sum of all the internal angles is 180 degrees.

Given

ET = 3x+2

EM = 5x

The value of x.

We know that the centroid of triangles divides it into 2:3.

Then

[tex]\begin{aligned} \dfrac{ET}{EM} &= \dfrac{2}{3} \\\\ \dfrac{3x+2}{5x} &= \dfrac{2}{3} \\\\ 3x+2 &= \dfrac{2}{3} * 5x \\\\ 3x+2 &= \dfrac{10x}{3} \\\\ 3x - \dfrac{10x}{3} &=-2\\\\ \dfrac{-x}{3} &= -2 \\\\ x &= 6\end{aligned}[/tex]

Hence the value of x is 6.

Thus the value of x is 6.

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7(x-3) = 4(x+5)

distribute:

7x-21 = 4x+20

add 21 to both sides

7x = 4x +41

subtract 4x from both sides

3x = 41

divide both sides by 3

x = 41 /3 = 13.67 ( repeating 6's) so it can be 13 2/3 as a fraction

the answer is 13 2/3

Answer:

Option D) 8

Step-by-step explanation:

We are given the following information in the question:

A bar graph is given that shows how many males and how many females said they watched each type of movie most often.

To find:

We have to find that how many males said that they watched action movies than drama movies .

In the bar graph:

Number of action movies watched by males = 13

Number of drama movies watched by males = 5

Number of males males said that they watched action movies than drama movies  = 13 - 5  =  8

Males watched 8 action movies more than the drama movies.

Hence, the correct option is D.

The weight of kitten is 4.198 pounds

A z-score describes the position of a raw score in terms of its distance from the mean, when measured in standard deviation units.

Given that, the mean weight of a litter of kittens is 3.1 pounds, with a standard deviation of 0.9 pound, Lawrence wants to know the weight of the kitten he is buying, but the seller only has the z-score of 1.22.

Let x be the weight of the kitten

We know that,

z = (x- mean)/σ

Therefore,

1.22 = (x-3.1)/0.9

(1.22)(0.9) = x -3.1

x = 4.198

Hence, the weight of kitten is 4.198 pounds

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Answer:

its 14.2

Step-by-step explanation:

Answer:

domain: (negative infinite,infinite); range: f(x) (greater than or equal to [tex]0[/tex]

Step-by-step explanation:

we have

[tex]f\left(x\right)=\left|x+6\right|[/tex]

The vertex of the function is the point [tex](-6,0)[/tex]

The domain is the interval--------> (-∞,∞)

The domain is all real numbers

The range is the interval ------> [0,∞)

[tex]f(x)\geq 0[/tex]

The range is all real numbers greater than or equal to zero

To better understand the problem see the attached figure

The value of x in the expression (5x+15) (3x-3) is 15x^2 + 30x - 45.

The expression (5x+15) (3x-3) represents the multiplication of two binomials. To find the value of x, we can use the distributive property to simplify the expression:

Putting it all together, we have 15x^2 - 15x + 45x - 45. Combining like terms, the expression simplifies to 15x^2 + 30x - 45.

So, the value for x in the given expression is 15x^2 + 30x - 45.

The answer is reliable. A measure is assumed to have a high reliability if it yields parallel results under steady conditions. It is the characteristic of a set of test scores that relates to the quantity of accidental or random error from the measurement procedure that might be rooted in the scores. Marks that are highly reliable are precise, reproducible, and constant from one testing time to another. To be exact, if the testing method were to be repeated with a different group of test takers, fundamentally the same results would be gotten. 

brothers age = x

 carly's age = 3x

3x +x <=24

4x<=24

x<=24/4 = 6

brothers age is x<=6

Final answer:

A total of 456 sugar cubes touching the box.

Explanation:

To calculate the number of sugar cubes touching the box, we must consider the cubes that lie along each face of the box without double-counting the cubes that touch corners and edges.

The box dimensions are 8 x 6 x 18 inches, and each sugar cube is 1 x 1 x 1 inch.

For the top and bottom faces (6 x 18), we have

6*18 = 108 sugar cubes touching the box on each face, totaling 216 for both the top and bottom.

For the front and back faces (8 x 18), since we must exclude the top and bottom rows, we have

(8-2) x (18-2) = 6 x 16 = 96 sugar cubes for one face and 192 for both.

For the sides (8 x 6), excluding the top and bottom rows again, we have

(8-2) x (6-2) = 6 x 4 = 24 sugar cubes on one side and 48 in total for the two sides.

Adding all these together, we get 216 (top and bottom) + 192 (front and back) + 48 (sides) = 456 sugar cubes touching the box.

Remember, this method assumes a single layer of sugar cubes is in direct contact with the inside surface of the box.

The smallest number greater than 100 divisible by 2 is 102, divisible by ten is 110, divisible by four is 104.

It is an easy method of determining the divisibility of a number by a particular divisor, by just observing the number and not actually dividing it.

The number is 100

A smallest number greater than 100 has to be found which is divisible by 2.

All even numbers are divisible by 2, a number which has 0, 2, 4, 6, 8 at its ones position are divisible by 2.

The smallest number from 100 which is divisible by 2 is 102.

A smallest number greater than 100 has to be found which is divisible by 10.

A number is divisible by 10, if it has 0 at its ones position.

The number after 100 which has 0 at its ones position is 110.

A smallest number greater than 100 has to be found which is divisible by 4.

If last two digit of a number forms 00 or are divisible by 4, then the number is divisible by 4.

The smallest number from 100 which is divisible by 4 is 104.

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There are 10 red marbles and 8 green marbles in a jar. So, the probability that all three marbles taken from the jar are red is 0.147.

Given :

Number of red marbles = 10

Number of green marbles = 8

Probability is the department of mathematics concerning numerical depictions of how likely the event is to happen or how likely it is that suggestion is genuine. The probability of an event could be number between 0 and 1 , where o shows difficulty of the event and 1 shows certainty.

Total number of marbles in a jar = 10 + 8 = 18

Total number of red marbles in a jar = 10

So, the probability that all three marbles taken from the jar are red is:

[tex]= \dfrac{10}{18}\times\dfrac{9}{17}\times\dfrac{8}{16}[/tex]

[tex]= 0.147[/tex]

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The expanded equivalent of cos(a – b) is  cos(a)cos(b)+sin(a)sin(b).

Given that,

Based on the above information, the calculation is as follows:

= cos (a - b)

=  cos(a)cos(b)+sin(a)sin(b)

Therefore we can conclude that the expanded equivalent of cos(a – b) is  cos(a)cos(b)+sin(a)sin(b).

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The solution to the equation x + 9 = 18 - 2x is x = 3.

Given the equation in the question:

x + 9 = 18 - 2x

To solve the equation x + 9 = 18 - 2x, first, collect and combine the x terms on one side of the equation and the constant terms on the other side:

x + 9 = 18 - 2x

Add 2x to both sides of the equation:

x + 2x + 9 = 18 - 2x + 2x

x + 2x + 9 = 18

3x + 9 = 18

Subtract 9 from both sides of the equation:

3x + 9 - 9 = 18 - 9

3x = 18 - 9

3x = 9

Isolate x by dividing both sides by 3:

x = 9/3

x = 3

Therefore, the value of x is 3.

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The probability that a randomly selected individual with an MBA degree will receive a starting salary of at least $30,000, considering the mean salary is $40,000, and standard deviation is $5,000, is approximately 97.72%.

The question pertains to the use of the normal distribution in probability, particularly in determining the probability of a randomly selected individual with an MBA degree getting a starting salary of at least $30,000. Given that the mean starting salary is $40,000 and the standard deviation is $5,000, we first need to standardize the salary amount to a z-score using the formula z = (X - μ) / σ. In this context, X refers to the salary amount in question, μ is the mean salary, and σ is the standard deviation.

So, z = (30,000 - 40,000) / 5000 = -2. This means the $30,000 salary is 2 standard deviations below the mean. When we look at the standard z-table, we find that the area to the left of z = -2 is approximately 0.0228. However, because we are looking for the probability of a salary being at least $30,000, we need to consider the area to the right, which is 1 - 0.0228 = 0.9772. So, the probability that a randomly selected MBA graduate will have a starting salary of at least $30,000 is approximately 97.72%.

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KInda if you love him then he loves personally i dont believe in him but thats everyone decision

I believe that the correct equation given is:

f(x) = (1-x^n)^(1/n)

From this, we can say that:

When n is an odd number then f(x) is cubic root function. The domain is (-infinite, +finite) 
When n is an even number then f(x) is sqrt root function. The domain is (0, +finite) 

First, let us solve for the slope of the line which it intersects with:

m’ = (y2 – y1) / (x2 – x1)

m’ = (-3 – 4) / (-2 – 5)

m’ = 1

The slope of the perpendicular line is the negative reciprocal, therefore:

m = - 1 / m’

m = - 1 / 1

m = -1

So the slope of the line is -1.