Find the value of x.
6
14
3x-12
8
8
21
x = [?]

Answer:

Step-by-step explanation:

That line that separates the triangle vertically is an angle bisector. That creates a ratio between the resulting 2 triangles:

[tex]\frac{6}{3x-12} =\frac{14}{21}[/tex] and cross multiply:

14(3x - 12) = 21(6) and

42x - 168 = 126 and

42x = 294 and

x = 7

For which set of data is the mode the BEST measure of central tendency?

A) 3, 11, 20, 14, 20
B) 10, 13, 10, 25, 16
C) 12, 10, 13, 25, 12
D) 14, 10, 12, 14, 3

Need help asap please help me.

What is the value of X to the nearest tenth??? ​

6 months ago, Juan used his credit card for a transaction of 128 dollars. The bank charges a rate of interest
of 50% per month compounded monthly
How much does Juan owe to the bank today?

4. Which of the following indicates the multiplication property of equality when solving Vz= 5?
O A.Y2 = 2(5)
O B.2V) = 5
O C.212) = 2(5)
O D.V2 = 5/2

The frequency table represents the job status of a number of high school students. A 4-column table with 3 rows titled job status. The first column has no label with entries currently employed, not currently employed, total. The second column is labeled looking for job with entries 12, 38, 50. The third column is labeled not looking for a job with entries 28, 72, 100. The fourth column is labeled total with entries 40, 110, 150. Which shows the conditional relative frequency table by column? A 4-column table with 3 rows titled job status. The first column has no label with entries currently employed, not currently employed, total. The second column is labeled looking for a job with entries 0.3, nearly equal to 0.33, 1.0. The third column is labeled not looking for job with entries 0.7, nearly equal to 0.65, 1.0. the fourth column is labeled total with entries nearly equal to 0.27, nearly equal to 0.73, 1.0. A 4-column table with 3 rows titled job status. The first column is blank with entries currently employed, not currently employed, total. The second column is labeled Looking for a job with entries 0.12, 0.38, 050. The third column is labeled not looking for a job with entries 0.28, 0.72, 1.00. The fourth column is labeled total with entries 0.4, 1.1, 1.5. A 4-column table with 3 rows titled job status. The first column has no label with entries currently employed, not currently employed, total. The second column is labeled looking for a job with entries 0.24, 0.76, 1.0. The third column is labeled not looking for a job with entries 0.28, 0.72, 1.0. The fourth column is labeled total with entries nearly equal to 0.27, nearly equal to 0.73, 1.0. A 4-column table with 3 rows titled job status. The first column has no label with entries currently employed, not currently employed, total. The second column is labeled looking for job with entries 0.08, nearly equal to 0.25, nearly equal to 0.33. The third column is labeled not looking for a job with entries nearly equal to 0.19, 0.48, nearly equal to 0.67. The f

Can someone help me pls

using y =4x^2 +5x -21 find the actual slope of the curve at x = 2

Jim buys a car for $22,500. He decides to finance through the dealership at 3.5% simple interest for 5.5 years. How much interest will he pay? What is the loan Jim will pay over the course of the 5.5 years?

PLEASE HELP! IM GIVING BRAINLIEST!

What is the opposite of -45?

Solve the x in the equation x2+11x+121/4=125/4

help pleaseee !!! im stuck

a woman is 10 times as old as her daughter. In 8 years she will be 4 times as old as her daughter. How okd is her mother now?

2x+6y=6 has to be solved by elimination
-2x+y=8 has to be solved by elimination

Period
Readiness TEKS 9.C, 9.D
6. Omar takes out a college loan for $28,000 to cover his
expenses for tuition, books, room, and housing. According to the
terms of the loan, he won't have to make payments for six years,
but the loan will continue to compound interest annually at 11%.
The table below shows the amount of the loan he owes assuming
he make no payments during the six years.
Number of Years
1
2
3
4
5
6
Loan Amount Owed
$28,000.00
$31,080.00
$34,498.80
$38,293.67
$42,505.97
$47,181.63
$52,373.61
Which function represents the amount of the loan owed in relation
to the number of years, x?
A. f(x) = 28,000(1.11)*
B. f(x) = 28,000(0.11)
C. f(x) = 28,000(11)*
D. f(x) = 28,000 + 1.11%

A box contains 7 blue socks, 13 yellow socks and 5 green socks. What is the probability of choosing a green sock at random? Question 5 options: 5/20 1/7 5/21 1/5

During a certain epidemic, the number of people that are
infected at any time increases at a rate proportional to the
number of people that are infected at that time. If 1,000 people
are infected when the epidemic is first discovered, and 1,200
are infected 7 days later, how many people are infected 12 days
after the epidemic is first discovered?

If you bought a lunch for $4.60 and the tax rate was 6%,
How much is the total owed?

Find the equation of the line that passes through the points (3,-4) and (3,
8).

A news article estimated that only 5% of those age 65 and older who prefer to watch the news, rather than to read or listen, watch the news online. This estimate was based on a survey of a large sample of adult Americans. Consider the population consisting of all adult Americans age 65 and older who prefer to watch the news, and suppose that for this population the actual proportion who prefer to watch online is 0.05. A random sample of n = 100 people will be selected from this population and p, the proportion of people who prefer to watch online, will be calculated.
(a) What are the mean and standard deviation of the sampling distribution of p? (Round your standard deviation to four decimal places.)
(b) Is the sampling distribution of p approximately normal for random samples of size n 100? Explain.
i. The sampling distribution of p is approximately normal because np is less than 10.
ii. The sampling distribution of p is approximately normal because np is at least 10.
iii. The sampling distribution of p is not approximately normal because np is less than 10
iv. The sampling distribution of p is not approximately normal because np is at least 10
v. The sampling distribution of p is not approximately normal because n(1 - p) is less than 10.

Identify the quadrant each ordered pair is located in.
(-5,8)
(5,8)
(-5,-8)
(5,-8)

find the domain and range of the function f(x)= 8|x|+sinx

between which two numbers would you place √40 on a number line

An online music store charges you $5.95 for 5 songs. How much would it cost you to
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find the area of the composite figure

I WILL MARK YOU AS BRAINLIEST IF YOU ANSWER CORRECTLY!!! Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(-8, 3), B(-3, 3), C(-3, 6), and D(-8, 6)
What is the area of rectangle ABCD

Coach Elyson claims that 90% of her volleyball serves are good serves. The captain of the team thinks Coach Elyson has a lower rate of good serves. To test this, 50 of the coach’s serves are randomly selected and 41 of them are good. To determine if these data provide convincing evidence that the proportion of Coach Elyson’s serves that are good is less than 90%, 100 trials of a simulation are conducted. The team captain’s hypotheses are: H0: p = 90% and Ha: p < 90%, where p = the true proportion of Coach Elyson’s serves that are good. Based on the results of the simulation, what is an estimate of the P-value of the test?


A dotplot. A number line labeled simulated sample proportion of good serves goes from 80 to 98 percent. 80, 2; 84, 13; 86, 11; 88, 12; 90, 23; 92, 12; 94, 14; 96, 10; 98, 3.


0%

2%

4%

98%

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