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Ivanshal [37]
2 years ago
15

Please answer correctly !!!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!

Mathematics
2 answers:
aalyn [17]2 years ago
8 0
<h3>Answer:  VT = 8</h3>

==========================================

Work Shown:

V is the midpoint of RT, so RV = VT

RV = 2x+4

VT = RV = 2x+4

RV+VT = RT ... by the segment addition postulate

RV+RV = RT ... replace VT with RV

2*(RV) = RT

2*(2x+4) = 8x .... plug in the given expressions

4x+8 = 8x

8 = 8x-4x

8 = 4x

4x = 8

x = 8/4

x = 2

Which means,

RV = 2x+4 = 2*2+4 = 8

VT = RV = 8

RT = 8x = 8*2 = 16

Note how

RV+VT = 8+8 = 16

which matches with the length of RT to help confirm our answer.

Ira Lisetskai [31]2 years ago
5 0

Answer:

\boxed{line \: vt \:  = 8.}

Step-by-step explanation:

if \:  \boxed{ line\: rt} = \boxed{ line\: rv}  + \boxed{ line\: vt}  = 8x \\ then \: \boxed{ line\: rv}  = \boxed{ line\: rt}  = 2x + 4 \\ hence \to \\ 2(2x + 4) = 8x \\ 4x + 8 = 8x \\ 4x = 8 \\  \boxed{x = 2} \\  \\ if \: x = 2  :then \:  \\ 2x + 4 = 2(2) + 4 = 8. \\ therefore \: \boxed{ line\: vt = 8.}

♨Rage♨

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Solve −2(n+3)−4=8 . The solution is n= .
Anton [14]

Answer:

n= -9

Step-by-step explanation:

Simplifying

-2(n + 3) + -4 = 8

Reorder the terms:

-2(3 + n) + -4 = 8

(3 * -2 + n * -2) + -4 = 8

(-6 + -2n) + -4 = 8

Reorder the terms:

-6 + -4 + -2n = 8

Combine like terms: -6 + -4 = -10

-10 + -2n = 8

Solving

-10 + -2n = 8

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '10' to each side of the equation.

-10 + 10 + -2n = 8 + 10

Combine like terms: -10 + 10 = 0

0 + -2n = 8 + 10

-2n = 8 + 10

Combine like terms: 8 + 10 = 18

-2n = 18

Divide each side by '-2'.

n = -9

Simplifying

n = -9

3 0
3 years ago
Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.5
masya89 [10]

Answer:

z= \frac{3.44-2.54}{0.45}=2

P(X>3.44) = P(Z>2) = 0.025

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the grade points avergae of a population, and for this case we know the following properties

Where \mu=2.54 and \sigma=0.45

The empirical rule, also referred to as the three-sigma rule or 68-95-99.7 rule, is a statistical rule which states that for a normal distribution, almost all data falls within three standard deviations (denoted by σ) of the mean (denoted by µ). Broken down, the empirical rule shows that 68% falls within the first standard deviation (µ ± σ), 95% within the first two standard deviations (µ ± 2σ), and 99.7% within the first three standard deviations (µ ± 3σ).

So we can find the z score for the value of X=3.44 in order to see how many deviations above or belowe we are from the mean like this:

z= \frac{3.44-2.54}{0.45}=2

So the value of 3.44 is 2 deviations above from the mean, so then we know that the percentage between two deviations from the mean is 95% and on each tail we need to have (100-95)/2 = 2.5% , because the distribution is symmetrical, so based on this we can conclude that:

P(X>3.44) = P(Z>2) = 0.025

5 0
3 years ago
Arianna gathered data about the distance of 20 cities from the equator and the average hours of sunlight per day in December for
stich3 [128]

<u>Answer-</u>

<em>A. strong negative correlation.</em>

<u>Solution-</u>

<u>Direction of a relationship</u>

  1. Positive- If one variable increases, the other tends to also increase. If one decreases, the other tends to also. It is represented by positive numbers(i.e 0 to 1).
  2. Negative- If one variable increases, the other tends to decrease, and vice-versa.  It is represented by negative numbers(i.e 0 to -1)

<u>Strength of a relationship</u>

  1. Perfect Relationship- When two variables are linearly related, the correlation coefficient is either 1 or -1. They are said to be perfectly linearly related, either positively or negatively.
  2. No relationship- When two variables have no relationship at all, their correlation is 0.

As in this case, correlation coefficient was found to be -0.91, which is negative and close to -1, so it is a strong negative correlation.


5 0
3 years ago
What are (2,1) and (0,-3) in slope-intercept form pls. I will give you brainiest
kotykmax [81]

Answer:

Well, the first thing you must do is find the slope

(0,2) (1,-3) I am going to make x1= 0, y1=2, x2=1 and y2= -3

Now, I am going to use the formula for the slope, which is

y2-y1/(x2-x1)

[-3-2]/(1-0)= -5/1 or just -1

Next, I am going to use the point slope form, which is

y-y1=m(x-x1). m=5, x1=0, y1=2

y-2= -5(x-0)

y-2=-5x

+2 +2

y= -5x+2 This is the slope intercept form.

we are done. I am glad to see that you are doing math on a Saturday night.. Good luck... Please rate my answer:)

7 0
2 years ago
Read 2 more answers
Compare the ratios in Table 1 and Table 2.
Grace [21]

Answer:

3:5 is less tan 7:10

The ratio 14:20 is greater than the ratio 9:15.

The ratios in Table 1 are less than the ratios in Table 2.

Step-by-step explanation:

3:5 as a fraction is 6/10

7:10 as a fraction is 7/10

3:5 is less

3 0
3 years ago
Read 2 more answers
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